Test Borrowing with Default (Standard Grid, Save + Borr Dynamic Programming Problem)

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Testing the ff_abz_vf_vecsv program for solving the savings and borrowing dynamic programming problem.

Test the model by adjusting (1) borrowing bound (2) if default is allowed (3) when default is allowed adjusting the level of minimum consumption given default.

Here graphical results are printed out for large grid solution.

@seealso

Contents

Set Shared Parameters

close all;

it_param_set = 4;

% Shared parameters
fl_a_max = 50;
it_a_n = 750;
fl_r_save = 0.025; % 10 percent savings interest rate
fl_r_borr = 0.035;
fl_w = 1;
it_maxiter_val = 1000;
it_z_n = 15;

% Display Etc.
bl_display = false;
bl_post = true;
bl_display_final = true;

Simulate Savinags only

default not allowed and borrowing bound = 0

[param_map, support_map] = ffs_abz_set_default_param(it_param_set);

% control saving, borrowing, default
param_map('fl_b_bd') = 0;
param_map('bl_default') = false;

% shared parameters
param_map('fl_a_min') = 0;
param_map('fl_a_max') = fl_a_max;
param_map('it_a_n') = it_a_n;
param_map('fl_r_save') = fl_r_save;
param_map('fl_r_borr') = fl_r_borr;
param_map('fl_w') = fl_w;

% solution
param_map('it_z_n') = it_z_n;
param_map('it_maxiter_val') = it_maxiter_val;

% Display Parameters
support_map('bl_display') = bl_display;
support_map('bl_post') = bl_post;
support_map('bl_display_final') = bl_display_final;

% Call Program
ff_abz_vf_vecsv(param_map, support_map);
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_a_n): percentage of state space points conditional on shock where the policy function is changing across iterations
                 valgap       polgap        z1          z2           z3          z4          z5          z6           z7           z8           z9          z10          z11          z12         z13         z14          z15   
                _________    ________    ________    _________    ________    ________    ________    _________    _________    _________    _________    ________    _________    _________    ________    ________    _________

    iter=1         163.19      106.07           1            1           1           1           1            1            1            1            1           1            1            1           1           1            1
    iter=2         122.96      1532.2       0.996        0.996       0.996     0.99733     0.99733      0.99733      0.99733      0.99867      0.99867           1            1            1           1           1            1
    iter=3         100.02       510.8     0.99067      0.99067       0.992       0.992       0.992        0.992      0.99467      0.99467        0.996     0.99733            1            1           1           1            1
    iter=4         83.504         255     0.98267      0.98267     0.98667     0.98533       0.984      0.98667      0.98667      0.98933      0.99333     0.99333      0.99733            1           1           1            1
    iter=5         70.746      152.72       0.972        0.972       0.976     0.97733     0.97333         0.98      0.98133      0.98533        0.988     0.99067      0.99333      0.99733           1           1            1
    iter=6         60.517       101.4     0.95733         0.96       0.964     0.96533     0.96267        0.968        0.972        0.976         0.98       0.984      0.99067        0.992     0.99733           1            1
    iter=7         52.124      72.096     0.94133      0.94533       0.952       0.952       0.952      0.95867      0.95867      0.96133        0.968       0.976      0.98267      0.98933     0.99067     0.99733            1
    iter=8         45.123      53.715     0.92667      0.93067     0.93333     0.93467     0.93733      0.94267        0.948      0.95333      0.95867       0.964      0.97333        0.976       0.988     0.99067      0.99733
    iter=9         39.216      41.451       0.908      0.91067       0.916       0.916     0.92667        0.924      0.93467      0.93867      0.94533     0.95333         0.96      0.97067     0.97733     0.98533      0.99333
    iter=10        34.184      32.866     0.88667        0.892     0.89867         0.9       0.904        0.908      0.91467      0.92267      0.93067     0.93867        0.948        0.956     0.96533       0.976        0.984
    iter=11        29.868      26.631     0.86933      0.87333     0.87733     0.87867     0.88533        0.892      0.89733      0.90267        0.912     0.92133      0.93067      0.94267       0.952        0.96        0.972
    iter=12        26.145      21.929     0.84533      0.85067       0.848     0.85467        0.86      0.87067        0.872        0.884        0.892     0.89867      0.91333      0.92133       0.932     0.94533         0.96
    iter=13        22.917      18.331     0.81733      0.82133       0.828     0.83333     0.84133      0.84533        0.852      0.86133      0.86933     0.88133      0.88933      0.90133        0.92       0.928      0.94133
    iter=14        20.109       15.48     0.78933      0.79867     0.80267       0.808     0.81467      0.82267      0.82933      0.83333      0.84533     0.85333        0.868      0.87867     0.89067     0.90667      0.91733
    iter=15        17.658      13.211     0.76533      0.76267       0.768     0.77733        0.78        0.796      0.80267      0.81867        0.828       0.836      0.84133         0.86     0.86933     0.88533      0.89867
    iter=16        15.512      11.383     0.73467         0.74     0.74267     0.74667       0.756        0.764        0.772        0.776        0.792     0.79867      0.80933      0.82267       0.844     0.85333      0.87467
    iter=17        13.631      9.9021         0.7      0.70133       0.708       0.716     0.72267        0.732      0.73867        0.748      0.75867       0.768        0.788        0.804     0.81067       0.828      0.84267
    iter=18        11.977      8.6568        0.66        0.668     0.67467       0.684     0.69333      0.69867      0.70933         0.72      0.72533       0.736      0.74933      0.76667       0.784     0.79867      0.81733
    iter=19        10.522      7.5693     0.62533        0.632     0.63467       0.644     0.64933      0.66267      0.66933      0.67733        0.692     0.70667      0.71733      0.73067     0.74933        0.76      0.78133
    iter=20        9.2408      6.6391     0.58533      0.59333     0.60133     0.60267       0.612      0.61867      0.62933      0.64133      0.65733     0.66533      0.68133      0.68933     0.70533     0.72667         0.74
    iter=21        8.1108      5.8672     0.54533        0.548       0.556        0.56     0.57733      0.58133      0.59067      0.60267      0.61467       0.628      0.63867        0.656     0.66933       0.684      0.70267
    iter=22         7.114      5.2218     0.50133      0.50667     0.51733     0.52133     0.52933        0.536      0.54667         0.56        0.564     0.57333        0.596      0.60933     0.62267       0.648        0.664
    iter=23        6.2343      4.6316     0.45333         0.46     0.45867     0.47333     0.47867      0.49067          0.5      0.50533      0.52533        0.54        0.548      0.56533     0.58267     0.59867      0.61733
    iter=24        5.4579        4.13     0.40267      0.40667     0.41467     0.42667     0.42933      0.43733      0.44933      0.46533      0.47067     0.48667      0.50133      0.52133       0.536     0.55067      0.57067
    iter=25        4.7727      3.6955     0.35467      0.36133       0.368       0.376        0.38      0.39333      0.40267      0.40533      0.42533        0.44      0.45067      0.46533       0.476     0.50133        0.516
    iter=26        4.1682      3.3397       0.316        0.324       0.328     0.33067     0.35067      0.35333      0.35867      0.36667      0.37867       0.384      0.40133      0.40933     0.42667       0.444        0.464
    iter=27        3.6352      3.0154     0.27867      0.28667     0.28933     0.30133       0.304        0.304      0.31733        0.324      0.33333     0.34133        0.356      0.37333     0.38933     0.39733      0.41867
    iter=28        3.1656      2.7208     0.25867        0.252     0.26533        0.26       0.264        0.272      0.27333      0.29333      0.29333     0.30667      0.32267      0.32667     0.33467       0.356      0.36667
    iter=29        2.7524      2.5184       0.212        0.224       0.224     0.23333     0.24133        0.248      0.25733      0.25867        0.268     0.27733        0.284      0.29333     0.30667       0.324      0.33467
    iter=30        2.3893      2.2941     0.19867      0.19867       0.204     0.21067     0.21067        0.216      0.22267      0.23467      0.23467       0.244      0.24667        0.268     0.27467       0.284      0.29733
    iter=31        2.0709      2.1111       0.176      0.18133     0.18133     0.18133     0.18933      0.19467      0.19733      0.19867        0.212       0.224        0.232      0.23067       0.244       0.256      0.26533
    iter=32        1.7922      1.8804     0.15467        0.152     0.16267       0.168     0.16533      0.17333      0.17733      0.19067        0.188     0.18933      0.19867        0.212     0.22267       0.224      0.24267
    iter=33        1.5489      1.7289     0.13333      0.14533     0.13733     0.14667       0.156      0.15467      0.16267      0.15867      0.17733     0.17733         0.18      0.18667       0.192       0.208      0.21333
    iter=34        1.3374      1.4875     0.12667      0.12267       0.132       0.124     0.12667      0.13467      0.13733      0.14133         0.14     0.15467      0.15733      0.17467     0.17467     0.18267      0.19333
    iter=35        1.1542      1.3704       0.108      0.10933     0.11067        0.12     0.11733      0.12133        0.124      0.13733      0.13467     0.13467        0.148      0.14533        0.16     0.16133      0.17067
    iter=36        0.9963      1.2845    0.094667      0.10133     0.10133     0.10267     0.11333      0.11333      0.11333      0.10667        0.124     0.12933      0.12933      0.13067        0.14     0.14533        0.148
    iter=37       0.86116      1.1214    0.082667     0.085333    0.090667    0.089333    0.086667     0.090667        0.092      0.10267      0.10133     0.10533        0.108      0.12133     0.12267       0.128      0.14133
    iter=38       0.74635      1.0702    0.077333     0.073333    0.077333    0.081333    0.085333     0.082667     0.089333        0.096     0.094667    0.094667      0.10133        0.104     0.10933     0.12267      0.12133
    iter=39       0.64977      1.0123    0.066667     0.065333    0.066667    0.074667    0.069333     0.082667         0.08     0.077333     0.082667       0.092     0.093333     0.094667    0.097333    0.097333        0.104
    iter=40       0.56947     0.98635       0.056         0.06    0.058667       0.056    0.069333     0.062667     0.069333        0.068     0.077333    0.082667     0.078667        0.088    0.090667    0.097333      0.10267
    iter=41       0.50355     0.86478    0.049333     0.054667    0.053333    0.053333    0.050667        0.056     0.057333         0.06        0.064    0.061333     0.069333     0.069333    0.074667    0.082667        0.084
    iter=42       0.45014     0.83223    0.041333     0.042667       0.048    0.050667    0.053333        0.048     0.050667     0.054667     0.054667    0.057333     0.062667     0.066667    0.066667    0.073333        0.076
    iter=43       0.40742     0.78585    0.046667     0.037333    0.041333    0.041333        0.04     0.045333        0.048        0.056     0.045333       0.052        0.052        0.052        0.06        0.06     0.069333
    iter=44       0.37355     0.71029       0.032     0.034667       0.036    0.037333    0.034667     0.037333     0.041333        0.036     0.050667    0.045333        0.052     0.053333    0.057333    0.054667        0.052
    iter=45       0.34673     0.66006    0.030667     0.029333       0.028    0.030667    0.034667     0.034667     0.034667     0.033333         0.04    0.042667     0.046667        0.048       0.048    0.049333     0.057333
    iter=46       0.32531     0.62799    0.021333        0.028       0.024    0.030667    0.029333     0.033333     0.033333     0.033333     0.033333       0.036        0.032     0.038667    0.041333    0.045333        0.048
    iter=47       0.30789      0.5733    0.018667     0.021333       0.024       0.024    0.026667     0.022667        0.024     0.026667     0.025333    0.029333        0.032     0.033333    0.033333    0.041333         0.04
    iter=48       0.29329     0.51074        0.02     0.022667        0.02    0.018667       0.024     0.025333     0.022667     0.026667     0.021333    0.021333     0.026667     0.029333    0.030667    0.030667        0.032
    iter=49       0.28062     0.46735    0.013333     0.014667    0.018667    0.014667    0.014667     0.014667     0.017333     0.022667        0.024    0.026667     0.025333     0.018667       0.024    0.033333        0.028
    iter=50       0.26923     0.41557    0.013333        0.016       0.012       0.012    0.014667     0.014667        0.016     0.017333        0.016    0.018667         0.02     0.022667    0.022667    0.022667     0.030667
    iter=77      0.066603    0.066756           0            0           0           0           0            0    0.0013333    0.0013333            0           0            0            0           0           0            0
    iter=78      0.062701           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=79      0.059016    0.066756           0    0.0013333           0           0           0            0            0            0    0.0013333           0            0            0           0           0            0
    iter=80      0.055539    0.066756           0            0           0           0           0            0            0            0            0           0            0            0           0           0    0.0013333
    iter=81       0.05226    0.066756           0            0           0           0           0    0.0013333            0            0            0           0            0            0           0           0            0
    iter=82      0.049169    0.066756           0            0           0           0           0            0            0    0.0013333            0           0    0.0013333            0           0           0            0
    iter=83      0.046255           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=84       0.04351           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=85      0.040925    0.066756           0            0           0           0           0            0            0            0            0           0            0    0.0013333           0           0            0
    iter=86       0.03849    0.066756           0            0           0           0           0            0            0            0            0           0    0.0013333            0           0           0            0
    iter=87      0.036198           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=88       0.03404           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=89       0.03201           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=90      0.030099           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=91      0.028301           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=92       0.02661           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=93      0.025018    0.066756           0            0           0           0           0            0            0            0            0           0            0    0.0013333           0           0            0
    iter=94      0.023522           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=95      0.022114           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=96      0.020791           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=97      0.019546           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=98      0.018375           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=99      0.017274           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=100     0.016239    0.066756           0            0           0           0           0            0            0            0            0           0    0.0013333            0           0           0            0
    iter=101     0.015266           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=102     0.014351           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=103     0.013491           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=104     0.012682           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=105     0.011922           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=106     0.011207           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=107     0.010535           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=108    0.0099033           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=109    0.0093093           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=110     0.008751           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=111    0.0082261           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=112    0.0077327           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=113    0.0072689           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=114    0.0068328           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=115    0.0064229           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=116    0.0060376           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=117    0.0056754           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=118     0.005335           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=119    0.0050149           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=120     0.004714           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=121    0.0044312           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=122    0.0041654           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=123    0.0039155           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=124    0.0036806           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=125    0.0034597           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0
    iter=126    0.0032522           0           0            0           0           0           0            0            0            0            0           0            0            0           0           0            0

tb_val: V(a,z) value at each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=0              -6.0673       -5.3448      -4.6087       -3.8854      -3.1858       -2.5126     -0.038059      0.54938        1.1322        1.7096        2.2768       2.8172  
    a2=0.0667557      -5.7756       -5.1053      -4.4126        -3.725      -3.0548       -2.4058      0.020101      0.60155        1.1793        1.7526        2.3158       2.8533  
    a3=0.133511       -5.5481       -4.9132       -4.251       -3.5878      -2.9379       -2.3056      0.077555      0.65302        1.2259        1.7951        2.3546       2.8892  
    a4=0.200267        -5.334       -4.7267      -4.0909       -3.4532      -2.8256       -2.2121       0.13431      0.70398        1.2721        1.8374        2.3933       2.9248  
    a5=0.267023       -5.1511       -4.5688      -3.9545       -3.3332        -2.72       -2.1192       0.19022      0.75467        1.3178        1.8793        2.4318       2.9603  
    a6=0.333778       -4.9778       -4.4146      -3.8196       -3.2171      -2.6185       -2.0299       0.24545      0.80488        1.3633        1.9209        2.4701       2.9956  
    a7=0.400534       -4.8102       -4.2647      -3.6874       -3.1024      -2.5212       -1.9443       0.29986      0.85446        1.4085        1.9621         2.508       3.0307  
    a8=0.46729        -4.6597       -4.1324      -3.5694       -2.9964      -2.4259       -1.8612       0.35414      0.90349        1.4534        2.0031        2.5458       3.0656  
    a9=0.534045       -4.5157       -4.0019      -3.4545       -2.8936      -2.3337       -1.7795       0.40764      0.95206        1.4979        2.0439        2.5833       3.1003  
    a10=0.600801      -4.3762       -3.8749      -3.3402       -2.7934       -2.244       -1.6988       0.46041       1.0002         1.542        2.0843        2.6206       3.1349  
    a11=0.667557      -4.2403       -3.7511      -3.2287       -2.6945       -2.158       -1.6205       0.51264       1.0479        1.5857        2.1245        2.6577       3.1692  
    a12=0.734312       -4.114       -3.6382      -3.1254       -2.6003      -2.0731        -1.544        0.5644       1.0952        1.6292        2.1644        2.6946       3.2033  
    a13=0.801068      -3.9919       -3.5262      -3.0249       -2.5086      -1.9894       -1.4689       0.61564        1.142        1.6722         2.204        2.7312       3.2372  
    a14=0.867824      -3.8733       -3.4167      -2.9261       -2.4187      -1.9074       -1.3958       0.66634       1.1885         1.715        2.2434        2.7676        3.271  
    a15=0.934579      -3.7574       -3.3095      -2.8279       -2.3311      -1.8275       -1.3236       0.71652       1.2345        1.7575        2.2825        2.8037       3.3046  
    a16=1.00134       -3.6441       -3.2048      -2.7321       -2.2449      -1.7499       -1.2522       0.76618       1.2803        1.7996        2.3215        2.8397        3.338  
    a17=1.06809       -3.5366       -3.1066      -2.6411       -2.1608      -1.6736       -1.1818       0.81536       1.3259        1.8414        2.3603        2.8754       3.3712  
    a18=1.13485       -3.4316         -3.01      -2.5519       -2.0784      -1.5988       -1.1128        0.8643        1.371        1.8829        2.3988         2.911       3.4043  
    a19=1.2016        -3.3289       -2.9142      -2.4645       -1.9976      -1.5242       -1.0449       0.91291       1.4158        1.9242         2.437        2.9463       3.4372  
    a20=1.26836       -3.2285       -2.8203      -2.3787       -1.9183       -1.451      -0.97805       0.96102       1.4602        1.9653         2.475        2.9816       3.4701  
    a21=1.33511       -3.1299       -2.7281      -2.2932       -1.8406      -1.3791      -0.91234        1.0087       1.5043        2.0062        2.5128        3.0167       3.5028  
    a22=1.40187       -3.0335       -2.6379      -2.2095       -1.7648      -1.3086       -0.8477         1.056        1.548        2.0467        2.5503        3.0517       3.5353  
    a23=1.46862       -2.9408       -2.5515      -2.1285       -1.6893      -1.2393      -0.78369        1.1028       1.5914        2.0869        2.5876        3.0864       3.5677  
    a24=1.53538       -2.8492       -2.4667      -2.0491       -1.6152       -1.171      -0.72002        1.1494       1.6345        2.1269        2.6247        3.1209       3.5999  
    a25=1.60214       -2.7595       -2.3828      -1.9708       -1.5421      -1.1037      -0.65733        1.1955       1.6772        2.1666        2.6616        3.1553       3.6319  
    a26=1.66889       -2.6711       -2.2995       -1.894       -1.4702      -1.0375      -0.59547        1.2412       1.7196         2.206        2.6983        3.1895       3.6638  
    a27=1.73565       -2.5846       -2.2179      -1.8183       -1.3994     -0.97147      -0.53448        1.2865       1.7616        2.2453        2.7348        3.2235       3.6956  
    a28=1.8024        -2.4993       -2.1373      -1.7432         -1.33     -0.90649      -0.47423        1.3314       1.8034        2.2843         2.771        3.2573       3.7272  
    a29=1.86916       -2.4158       -2.0584      -1.6692       -1.2616     -0.84237      -0.41462         1.376       1.8449         2.323        2.8071        3.2909       3.7586  
    a30=1.93591       -2.3349       -1.9816      -1.5967       -1.1943     -0.77902       -0.3558        1.4202       1.8864        2.3615        2.8429        3.3244       3.7899  
    a31=2.00267       -2.2543       -1.9061      -1.5253       -1.1274     -0.71656      -0.29772        1.4643       1.9275        2.3998        2.8786        3.3577       3.8211  
    a32=2.06943        -2.175       -1.8316       -1.455       -1.0612     -0.65495      -0.24024        1.5081       1.9684        2.4378        2.9142        3.3908       3.8521  
    a33=2.13618       -2.0968       -1.7581      -1.3857      -0.99586       -0.594       -0.1832        1.5517        2.009        2.4756        2.9495        3.4237        3.883  
    a34=2.20294       -2.0198       -1.6849      -1.3172       -0.9313     -0.53386      -0.12654        1.5949       2.0494        2.5132        2.9847        3.4565       3.9137  
    a35=2.26969       -1.9439       -1.6128      -1.2498      -0.86764     -0.47447     -0.070548        1.6377       2.0895        2.5506        3.0197        3.4891       3.9442  
    a36=2.33645       -1.8691       -1.5417      -1.1833      -0.80485     -0.41566     -0.015218        1.6803       2.1293        2.5879        3.0544        3.5216       3.9747  
    a37=2.4032        -1.7957       -1.4717       -1.117      -0.74296     -0.35716      0.039503        1.7226       2.1689        2.6249         3.089        3.5539        4.005  
    a38=2.46996       -1.7239       -1.4031      -1.0519      -0.68181     -0.29935      0.093773        1.7646       2.2082        2.6617        3.1234        3.5861       4.0352  
    a39=2.53672        -1.653       -1.3353     -0.98747      -0.62132     -0.24208       0.14753        1.8063       2.2472        2.6983        3.1576        3.6182       4.0653  
    a40=2.60347       -1.5823       -1.2684     -0.92382      -0.56152     -0.18542       0.20076        1.8477       2.2859        2.7346        3.1917        3.6502       4.0953  
    a41=2.67023       -1.5125       -1.2024     -0.86098      -0.50217     -0.12933        0.2534        1.8888       2.3244        2.7707        3.2256         3.682       4.1252  
    a42=2.73698       -1.4436       -1.1371      -0.7988      -0.44314    -0.073915       0.30551        1.9295       2.3627        2.8067        3.2593        3.7136       4.1549  
    a43=2.80374       -1.3755       -1.0723     -0.73745      -0.38486    -0.019105        0.3572          1.97       2.4007        2.8425        3.2928        3.7451       4.1845  
    a44=2.87049       -1.3083        -1.008     -0.67688      -0.32727     0.035232       0.40839        2.0102       2.4385        2.8781        3.3262        3.7765       4.2139  
    a45=2.93725        -1.242      -0.94459     -0.61689       -0.2702     0.089007       0.45944        2.0503       2.4761        2.9135        3.3594        3.8077       4.2432  
    a46=3.00401       -1.1766      -0.88185     -0.55771      -0.21379      0.14226       0.51005        2.0902       2.5137        2.9487        3.3924        3.8387       4.2725  
    a47=3.07076       -1.1123      -0.82009     -0.49882      -0.15796      0.19498       0.56019        2.1298       2.5511        2.9837        3.4253        3.8696       4.3016  
    a48=3.13752       -1.0488      -0.75901      -0.4404      -0.10272      0.24749       0.60985        2.1693       2.5882        3.0185         3.458        3.9004       4.3305  
    a49=3.20427      -0.98584      -0.69857     -0.38261     -0.048013      0.29959       0.65908        2.2085       2.6251        3.0532        3.4906         3.931       4.3594  
    a50=3.27103      -0.92333      -0.63879     -0.32541     0.0061878      0.35122       0.70785        2.2474       2.6618        3.0877        3.5231        3.9615       4.3881  
    a701=46.729        12.435        12.481       12.534        12.591       12.653         12.72        13.037       13.131        13.232         13.34        13.452       13.566  
    a702=46.7957       12.444        12.491       12.543          12.6       12.662        12.729        13.046        13.14        13.241        13.348         13.46       13.573  
    a703=46.8625       12.454          12.5       12.552        12.609       12.671        12.737        13.054       13.148        13.249        13.356        13.468       13.581  
    a704=46.9292       12.463        12.509       12.561        12.618        12.68        12.746        13.062       13.156        13.257        13.364        13.476       13.589  
    a705=46.996        12.472        12.518        12.57        12.627       12.689        12.755        13.071       13.164        13.265        13.372        13.484       13.596  
    a706=47.0628       12.481        12.527       12.579        12.636       12.698        12.764        13.079       13.173        13.273         13.38        13.491       13.604  
    a707=47.1295        12.49        12.536       12.588        12.645       12.707        12.773        13.087       13.181        13.281        13.388        13.499       13.612  
    a708=47.1963       12.499        12.545       12.597        12.654       12.715        12.781        13.096       13.189        13.289        13.396        13.507       13.619  
    a709=47.263        12.508        12.554       12.606        12.663       12.724         12.79        13.104       13.197        13.297        13.404        13.515       13.627  
    a710=47.3298       12.517        12.563       12.615        12.672       12.733        12.799        13.112       13.205        13.305        13.411        13.523       13.635  
    a711=47.3965       12.527        12.572       12.624        12.681       12.742        12.807        13.121       13.214        13.313        13.419         13.53       13.642  
    a712=47.4633       12.536        12.581       12.633         12.69       12.751        12.816        13.129       13.222        13.321        13.427        13.538        13.65  
    a713=47.53         12.545         12.59       12.642        12.699       12.759        12.825        13.137        13.23        13.329        13.435        13.546       13.658  
    a714=47.5968       12.554        12.599       12.651        12.707       12.768        12.833        13.145       13.238        13.337        13.443        13.554       13.665  
    a715=47.6636       12.563        12.608        12.66        12.716       12.777        12.842        13.154       13.246        13.345        13.451        13.561       13.673  
    a716=47.7303       12.572        12.617       12.669        12.725       12.786        12.851        13.162       13.254        13.353        13.459        13.569        13.68  
    a717=47.7971       12.581        12.626       12.678        12.734       12.794        12.859         13.17       13.262        13.361        13.467        13.577       13.688  
    a718=47.8638        12.59        12.635       12.686        12.743       12.803        12.868        13.178       13.271        13.369        13.474        13.585       13.696  
    a719=47.9306       12.599        12.644       12.695        12.751       12.812        12.877        13.187       13.279        13.377        13.482        13.592       13.703  
    a720=47.9973       12.608        12.653       12.704         12.76        12.82        12.885        13.195       13.287        13.385         13.49          13.6       13.711  
    a721=48.0641       12.617        12.662       12.713        12.769       12.829        12.894        13.203       13.295        13.393        13.498        13.608       13.718  
    a722=48.1308       12.626        12.671       12.722        12.778       12.838        12.902        13.211       13.303        13.401        13.506        13.615       13.726  
    a723=48.1976       12.635         12.68       12.731        12.786       12.846        12.911        13.219       13.311        13.409        13.514        13.623       13.733  
    a724=48.2644       12.644        12.688       12.739        12.795       12.855        12.919        13.227       13.319        13.417        13.521        13.631       13.741  
    a725=48.3311       12.652        12.697       12.748        12.804       12.864        12.928        13.236       13.327        13.425        13.529        13.638       13.748  
    a726=48.3979       12.661        12.706       12.757        12.812       12.872        12.937        13.244       13.335        13.433        13.537        13.646       13.756  
    a727=48.4646        12.67        12.715       12.766        12.821       12.881        12.945        13.252       13.343        13.441        13.545        13.653       13.763  
    a728=48.5314       12.679        12.724       12.774         12.83        12.89        12.954         13.26       13.351        13.449        13.552        13.661       13.771  
    a729=48.5981       12.688        12.733       12.783        12.838       12.898        12.962        13.268       13.359        13.456         13.56        13.669       13.778  
    a730=48.6649       12.697        12.741       12.792        12.847       12.907        12.971        13.276       13.367        13.464        13.568        13.676       13.786  
    a731=48.7316       12.706         12.75       12.801        12.856       12.915        12.979        13.284       13.375        13.472        13.576        13.684       13.793  
    a732=48.7984       12.715        12.759       12.809        12.864       12.924        12.988        13.292       13.383         13.48        13.583        13.691       13.801  
    a733=48.8652       12.723        12.768       12.818        12.873       12.932        12.996          13.3       13.391        13.488        13.591        13.699       13.808  
    a734=48.9319       12.732        12.776       12.827        12.882       12.941        13.004        13.308       13.399        13.496        13.599        13.707       13.815  
    a735=48.9987       12.741        12.785       12.835         12.89       12.949        13.013        13.316       13.407        13.503        13.606        13.714       13.823  
    a736=49.0654        12.75        12.794       12.844        12.899       12.958        13.021        13.324       13.415        13.511        13.614        13.722        13.83  
    a737=49.1322       12.758        12.803       12.853        12.907       12.966         13.03        13.332       13.422        13.519        13.622        13.729       13.838  
    a738=49.1989       12.767        12.811       12.861        12.916       12.975        13.038         13.34        13.43        13.527        13.629        13.737       13.845  
    a739=49.2657       12.776         12.82        12.87        12.924       12.983        13.046        13.348       13.438        13.534        13.637        13.744       13.852  
    a740=49.3324       12.785        12.829       12.878        12.933       12.992        13.055        13.356       13.446        13.542        13.645        13.752        13.86  
    a741=49.3992       12.793        12.837       12.887        12.942           13        13.063        13.364       13.454         13.55        13.652        13.759       13.867  
    a742=49.466        12.802        12.846       12.896         12.95       13.009        13.072        13.372       13.462        13.558         13.66        13.767       13.875  
    a743=49.5327       12.811        12.855       12.904        12.959       13.017         13.08         13.38        13.47        13.565        13.667        13.774       13.882  
    a744=49.5995       12.819        12.863       12.913        12.967       13.026        13.088        13.388       13.478        13.573        13.675        13.782       13.889  
    a745=49.6662       12.828        12.872       12.921        12.976       13.034        13.097        13.396       13.485        13.581        13.683        13.789       13.897  
    a746=49.733        12.837         12.88        12.93        12.984       13.042        13.105        13.404       13.493        13.589         13.69        13.797       13.904  
    a747=49.7997       12.845        12.889       12.938        12.992       13.051        13.113        13.412       13.501        13.596        13.698        13.804       13.911  
    a748=49.8665       12.854        12.898       12.947        13.001       13.059        13.121         13.42       13.509        13.604        13.705        13.811       13.918  
    a749=49.9332       12.863        12.906       12.955        13.009       13.067         13.13        13.428       13.517        13.612        13.713        13.819       13.926  
    a750=50            12.871        12.915       12.964        13.018       13.076        13.138        13.436       13.524        13.619         13.72        13.826       13.933  

tb_pol_a: optimal asset choice for each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=0                    0             0            0            0             0             0      0.13351       0.26702       0.40053       0.53405       0.80107       1.0681  
    a2=0.0667557            0             0            0            0             0             0      0.20027       0.33378       0.46729        0.6008       0.86782       1.0681  
    a3=0.133511             0             0            0     0.066756      0.066756      0.066756      0.26702       0.40053       0.53405       0.66756       0.86782       1.1348  
    a4=0.200267      0.066756      0.066756     0.066756     0.066756      0.066756       0.13351      0.33378       0.46729        0.6008       0.73431       0.93458       1.2016  
    a5=0.267023      0.066756      0.066756      0.13351      0.13351       0.13351       0.13351      0.40053       0.46729       0.66756       0.80107        1.0013       1.2684  
    a6=0.333778       0.13351       0.13351      0.13351      0.20027       0.20027       0.20027      0.46729       0.53405       0.66756       0.86782        1.0681       1.3351  
    a7=0.400534       0.20027       0.20027      0.20027      0.20027       0.20027       0.26702      0.53405        0.6008       0.73431       0.93458        1.1348       1.4019  
    a8=0.46729        0.20027       0.20027      0.26702      0.26702       0.26702       0.33378      0.53405       0.66756       0.80107        1.0013        1.2016       1.4686  
    a9=0.534045       0.26702       0.26702      0.26702      0.33378       0.33378       0.33378       0.6008       0.73431       0.86782        1.0681        1.2684       1.5354  
    a10=0.600801      0.33378       0.33378      0.33378      0.40053       0.40053       0.40053      0.66756       0.80107       0.93458        1.1348        1.3351       1.6021  
    a11=0.667557      0.40053       0.40053      0.40053      0.40053       0.46729       0.46729      0.73431       0.86782        1.0013        1.2016        1.4019       1.6689  
    a12=0.734312      0.40053       0.46729      0.46729      0.46729       0.46729       0.53405      0.80107       0.93458        1.0681        1.2684        1.4686       1.7356  
    a13=0.801068      0.46729       0.46729      0.53405      0.53405       0.53405        0.6008      0.86782        1.0013        1.1348        1.3351        1.5354       1.8024  
    a14=0.867824      0.53405       0.53405      0.53405       0.6008        0.6008       0.66756      0.93458        1.0681        1.2016        1.4019        1.6021       1.8692  
    a15=0.934579       0.6008        0.6008       0.6008      0.66756       0.66756       0.66756       1.0013        1.1348        1.2684        1.4019        1.6689       1.9359  
    a16=1.00134       0.66756       0.66756      0.66756      0.66756       0.73431       0.73431       1.0681        1.1348        1.3351        1.4686        1.7356       2.0027  
    a17=1.06809       0.66756       0.73431      0.73431      0.73431       0.80107       0.80107       1.1348        1.2016        1.4019        1.5354        1.8024       2.0694  
    a18=1.13485       0.73431       0.73431      0.80107      0.80107       0.86782       0.86782       1.1348        1.2684        1.4686        1.6021        1.8692       2.1362  
    a19=1.2016        0.80107       0.80107      0.86782      0.86782       0.86782       0.93458       1.2016        1.3351        1.4686        1.6689        1.9359       2.1362  
    a20=1.26836       0.86782       0.86782      0.86782      0.93458       0.93458        1.0013       1.2684        1.4019        1.5354        1.7356        1.9359       2.2029  
    a21=1.33511       0.93458       0.93458      0.93458       1.0013        1.0013        1.0681       1.3351        1.4686        1.6021        1.8024        2.0027       2.2697  
    a22=1.40187        1.0013        1.0013       1.0013       1.0013        1.0681        1.1348       1.4019        1.5354        1.6689        1.8692        2.0694       2.3364  
    a23=1.46862        1.0013        1.0681       1.0681       1.0681        1.1348        1.1348       1.4686        1.6021        1.7356        1.9359        2.1362       2.4032  
    a24=1.53538        1.0681        1.1348       1.1348       1.1348        1.2016        1.2016       1.5354        1.6689        1.8024        2.0027        2.2029         2.47  
    a25=1.60214        1.1348        1.1348       1.2016       1.2016        1.2684        1.2684       1.6021        1.7356        1.8692        2.0694        2.2697       2.5367  
    a26=1.66889        1.2016        1.2016       1.2684       1.2684        1.3351        1.3351       1.6689        1.8024        1.9359        2.1362        2.3364       2.6035  
    a27=1.73565        1.2684        1.2684       1.3351       1.3351        1.3351        1.4019       1.7356        1.8692        2.0027        2.2029        2.4032       2.6702  
    a28=1.8024         1.3351        1.3351       1.3351       1.4019        1.4019        1.4686       1.8024        1.9359        2.0694        2.2697          2.47        2.737  
    a29=1.86916        1.4019        1.4019       1.4019       1.4686        1.4686        1.5354       1.8692        2.0027        2.1362        2.3364        2.5367       2.8037  
    a30=1.93591        1.4686        1.4686       1.4686       1.5354        1.5354        1.6021       1.8692        2.0027        2.2029        2.4032        2.6035       2.8705  
    a31=2.00267        1.4686        1.5354       1.5354       1.5354        1.6021        1.6689       1.9359        2.0694        2.2697        2.4032        2.6702       2.9372  
    a32=2.06943        1.5354        1.6021       1.6021       1.6021        1.6689        1.7356       2.0027        2.1362        2.3364          2.47         2.737        3.004  
    a33=2.13618        1.6021        1.6021       1.6689       1.6689        1.7356        1.7356       2.0694        2.2029        2.4032        2.5367        2.8037       3.0708  
    a34=2.20294        1.6689        1.6689       1.7356       1.7356        1.8024        1.8024       2.1362        2.2697          2.47        2.6035        2.8705       3.1375  
    a35=2.26969        1.7356        1.7356       1.8024       1.8024        1.8692        1.8692       2.2029        2.3364          2.47        2.6702        2.9372       3.2043  
    a36=2.33645        1.8024        1.8024       1.8692       1.8692        1.8692        1.9359       2.2697        2.4032        2.5367         2.737         3.004        3.271  
    a37=2.4032         1.8692        1.8692       1.8692       1.9359        1.9359        2.0027       2.3364          2.47        2.6035        2.8037        3.0708       3.3378  
    a38=2.46996        1.9359        1.9359       1.9359       2.0027        2.0027        2.0694       2.4032        2.5367        2.6702        2.8705        3.0708       3.4045  
    a39=2.53672        2.0027        2.0027       2.0027       2.0694        2.0694        2.1362         2.47        2.6035         2.737        2.9372        3.1375       3.4045  
    a40=2.60347        2.0027        2.0694       2.0694       2.1362        2.1362        2.2029       2.5367        2.6702        2.8037         3.004        3.2043       3.4713  
    a41=2.67023        2.0694        2.1362       2.1362       2.1362        2.2029        2.2697       2.6035         2.737        2.8705        3.0708         3.271       3.5381  
    a42=2.73698        2.1362        2.2029       2.2029       2.2029        2.2697        2.3364       2.6702        2.8037        2.9372        3.1375        3.3378       3.6048  
    a43=2.80374        2.2029        2.2029       2.2697       2.2697        2.3364        2.4032        2.737        2.8705         3.004        3.2043        3.4045       3.6716  
    a44=2.87049        2.2697        2.2697       2.3364       2.3364        2.4032          2.47       2.8037        2.9372        3.0708         3.271        3.4713       3.7383  
    a45=2.93725        2.3364        2.3364       2.4032       2.4032          2.47          2.47       2.8037        2.9372        3.1375        3.3378        3.5381       3.8051  
    a46=3.00401        2.4032        2.4032         2.47         2.47        2.5367        2.5367       2.8705         3.004        3.2043        3.4045        3.6048       3.8718  
    a47=3.07076          2.47          2.47         2.47       2.5367        2.6035        2.6035       2.9372        3.0708         3.271        3.4713        3.6716       3.9386  
    a48=3.13752        2.5367        2.5367       2.5367       2.6035        2.6035        2.6702        3.004        3.1375        3.3378        3.5381        3.7383       4.0053  
    a49=3.20427        2.6035        2.6035       2.6035       2.6702        2.6702         2.737       3.0708        3.2043        3.4045        3.5381        3.8051       4.0721  
    a50=3.27103        2.6035        2.6702       2.6702        2.737         2.737        2.8037       3.1375         3.271        3.4713        3.6048        3.8718       4.1389  
    a701=46.729        44.459        44.459       44.526       44.593        44.593         44.66       45.127         45.26        45.461        45.661        45.861       46.195  
    a702=46.7957       44.526        44.526       44.593        44.66         44.66        44.726       45.194        45.327        45.527        45.728        45.928       46.262  
    a703=46.8625       44.593        44.593        44.66        44.66        44.726        44.793        45.26        45.394        45.594        45.794        45.995       46.328  
    a704=46.9292        44.66         44.66       44.726       44.726        44.793         44.86       45.327        45.461        45.661        45.861        46.061       46.395  
    a705=46.996        44.726        44.726       44.793       44.793         44.86        44.927       45.394        45.527        45.728        45.928        46.128       46.462  
    a706=47.0628       44.793        44.793        44.86        44.86        44.927        44.993       45.461        45.594        45.794        45.995        46.195       46.529  
    a707=47.1295       44.793         44.86       44.927       44.927        44.993         45.06       45.461        45.661        45.794        46.061        46.262       46.595  
    a708=47.1963        44.86        44.927       44.993       44.993         45.06        45.127       45.527        45.728        45.861        46.128        46.328       46.662  
    a709=47.263        44.927        44.993        45.06        45.06        45.127        45.194       45.594        45.794        45.928        46.195        46.395       46.729  
    a710=47.3298       44.993         45.06       45.127       45.127        45.194         45.26       45.661        45.861        45.995        46.262        46.462       46.796  
    a711=47.3965        45.06        45.127       45.194       45.194         45.26        45.327       45.728        45.928        46.061        46.328        46.529       46.862  
    a712=47.4633       45.127        45.194       45.194        45.26        45.327        45.394       45.794        45.995        46.128        46.328        46.595       46.929  
    a713=47.53         45.194         45.26        45.26       45.327        45.394        45.461       45.861        46.061        46.195        46.395        46.662       46.929  
    a714=47.5968        45.26        45.327       45.327       45.394        45.461        45.527       45.928        46.128        46.262        46.462        46.729       46.996  
    a715=47.6636       45.327        45.394       45.394       45.461        45.527        45.594       45.995        46.195        46.328        46.529        46.796       47.063  
    a716=47.7303       45.394        45.461       45.461       45.527        45.594        45.661       46.061        46.262        46.395        46.595        46.862        47.13  
    a717=47.7971       45.461        45.527       45.527       45.594        45.661        45.728       46.128        46.328        46.462        46.662        46.929       47.196  
    a718=47.8638       45.527        45.594       45.594       45.661        45.728        45.794       46.195        46.328        46.529        46.729        46.996       47.263  
    a719=47.9306       45.594        45.661       45.661       45.728        45.794        45.861       46.262        46.395        46.595        46.796        47.063        47.33  
    a720=47.9973       45.661        45.728       45.728       45.794        45.861        45.928       46.328        46.462        46.662        46.862         47.13       47.397  
    a721=48.0641       45.728        45.794       45.794       45.861        45.928        45.995       46.395        46.529        46.729        46.929        47.196       47.463  
    a722=48.1308       45.794        45.861       45.861       45.928        45.995        46.061       46.462        46.595        46.796        46.996        47.263        47.53  
    a723=48.1976       45.861        45.928       45.928       45.995        46.061        46.128       46.529        46.662        46.862        47.063         47.33       47.597  
    a724=48.2644       45.928        45.995       45.995       46.061        46.128        46.195       46.595        46.729        46.929         47.13        47.397       47.664  
    a725=48.3311       45.995        46.061       46.061       46.128        46.195        46.262       46.662        46.796        46.996        47.196        47.463        47.73  
    a726=48.3979       46.061        46.061       46.128       46.195        46.262        46.328       46.729        46.862        47.063        47.263         47.53       47.797  
    a727=48.4646       46.128        46.128       46.195       46.262        46.328        46.395       46.796        46.929         47.13         47.33        47.597       47.864  
    a728=48.5314       46.195        46.195       46.262       46.328        46.395        46.462       46.862        46.996        47.196        47.397        47.664       47.931  
    a729=48.5981       46.262        46.262       46.328       46.395        46.462        46.529       46.929        47.063        47.263        47.463         47.73       47.997  
    a730=48.6649       46.328        46.328       46.395       46.462        46.529        46.595       46.996         47.13         47.33         47.53        47.797       48.064  
    a731=48.7316       46.395        46.395       46.462       46.529        46.595        46.662       47.063        47.196        47.397        47.597        47.864       48.131  
    a732=48.7984       46.462        46.462       46.529       46.595        46.662        46.729        47.13        47.263        47.463        47.664        47.931       48.198  
    a733=48.8652       46.529        46.529       46.595       46.662        46.662        46.796       47.196         47.33         47.53         47.73        47.997       48.264  
    a734=48.9319       46.595        46.595       46.662       46.729        46.729        46.796       47.263        47.397        47.597        47.797        48.064       48.331  
    a735=48.9987       46.662        46.662       46.729       46.796        46.796        46.862        47.33        47.463        47.664        47.864        48.131       48.398  
    a736=49.0654       46.729        46.729       46.796       46.862        46.862        46.929       47.397         47.53         47.73        47.931        48.198       48.465  
    a737=49.1322       46.796        46.796       46.862       46.929        46.929        46.996       47.463        47.597        47.797        47.997        48.198       48.531  
    a738=49.1989       46.862        46.862       46.929       46.929        46.996        47.063        47.53        47.664        47.864        48.064        48.264       48.598  
    a739=49.2657       46.929        46.929       46.996       46.996        47.063         47.13       47.597         47.73        47.931        48.131        48.331       48.665  
    a740=49.3324       46.996        46.996       47.063       47.063         47.13        47.196       47.664        47.797        47.997        48.198        48.398       48.732  
    a741=49.3992       47.063        47.063        47.13        47.13        47.196        47.263        47.73        47.864        48.064        48.264        48.465       48.798  
    a742=49.466        47.063         47.13       47.196       47.196        47.263         47.33       47.797        47.931        48.131        48.331        48.531       48.865  
    a743=49.5327        47.13        47.196       47.263       47.263         47.33        47.397       47.797        47.997        48.131        48.398        48.598       48.932  
    a744=49.5995       47.196        47.263        47.33        47.33        47.397        47.463       47.864        48.064        48.198        48.465        48.665       48.999  
    a745=49.6662       47.263         47.33       47.397       47.397        47.463         47.53       47.931        48.131        48.264        48.531        48.732       49.065  
    a746=49.733         47.33        47.397       47.463       47.463         47.53        47.597       47.997        48.198        48.331        48.598        48.798       49.132  
    a747=49.7997       47.397        47.463        47.53        47.53        47.597        47.664       48.064        48.264        48.398        48.665        48.865       49.199  
    a748=49.8665       47.463         47.53        47.53       47.597        47.664         47.73       48.131        48.331        48.465        48.665        48.932       49.266  
    a749=49.9332        47.53        47.597       47.597       47.664         47.73        47.797       48.198        48.398        48.531        48.732        48.999       49.332  
    a750=50            47.597        47.664       47.664        47.73        47.797        47.864       48.264        48.465        48.598        48.798        49.065       49.332  

Simulate Save/Borrow No Default

Default not allowed, but borrowing is allowed

[param_map, support_map] = ffs_abz_set_default_param(it_param_set);

% allow for borrowing, when using a very large negative value for fl_b_bd
% that means the natural borrowing constraint will bind.
param_map('fl_b_bd') = -100;
param_map('bl_default') = false;

% shared parameters
param_map('fl_a_min') = 0;
param_map('fl_a_max') = fl_a_max;
param_map('it_a_n') = it_a_n;
param_map('fl_r_save') = fl_r_save;
param_map('fl_r_borr') = fl_r_borr;
param_map('fl_w') = fl_w;

% solution
param_map('it_z_n') = it_z_n;
param_map('it_maxiter_val') = it_maxiter_val;

% Display Parameters
support_map('bl_display') = bl_display;
support_map('bl_post') = bl_post;
support_map('bl_display_final') = bl_display_final;

% Call Program
ff_abz_vf_vecsv(param_map, support_map);

% Snap
snapnow;

close all;
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_a_n): percentage of state space points conditional on shock where the policy function is changing across iterations
                 valgap       polgap        z1           z2          z3          z4          z5          z6          z7           z8          z9         z10         z11         z12         z13          z14          z15   
                _________    ________    _________    ________    ________    ________    ________    ________    _________    ________    ________    ________    ________    ________    ________    _________    _________

    iter=1         9999.1      947.37       1.0013      1.0013      1.0013      1.0013      1.0013      1.0013       1.0013      1.0013      1.0013      1.0013      1.0013      1.0013      1.0013       1.0013       1.0013
    iter=2         1059.4      1836.8            1           1      1.0013      1.0013      1.0013      1.0013       1.0013           1           1      1.0013      1.0013      1.0013      1.0013       1.0013       1.0013
    iter=3         200.92      612.48      0.99467       0.996     0.99733     0.99733     0.99733     0.99867      0.99733     0.99867           1           1      1.0013      1.0013      1.0013       1.0013       1.0013
    iter=4         88.977      306.38      0.98933     0.99067     0.99067       0.992       0.992     0.99333      0.99333     0.99467     0.99733     0.99867           1      1.0013      1.0013       1.0013       1.0013
    iter=5         74.957       183.6      0.98267     0.98267     0.98267     0.98533       0.984       0.988      0.99067     0.99067       0.992       0.996     0.99733           1      1.0013       1.0013       1.0013
    iter=6         64.281      122.17      0.97067     0.97067       0.972     0.97467       0.976     0.97867      0.97867     0.98267     0.98667       0.988       0.992     0.99467     0.99867            1       1.0013
    iter=7         55.533      86.695      0.96133     0.96267       0.964     0.96533       0.968     0.96933      0.97067       0.976        0.98       0.984     0.98667       0.992       0.996      0.99867            1
    iter=8         48.231      64.761      0.94533       0.948     0.94933     0.95067     0.95467     0.95867      0.96133       0.964     0.96933       0.976        0.98       0.984       0.988      0.99333      0.99867
    iter=9         42.067      50.139        0.924       0.932     0.93467     0.94267     0.94133     0.94533      0.95067     0.95467     0.95733     0.96133       0.968       0.972        0.98      0.98667      0.99333
    iter=10        36.824       39.88      0.91733     0.91733     0.92267     0.92267     0.92533       0.928      0.93067     0.93867     0.94667     0.95067     0.95733     0.96133     0.97067      0.97867      0.98533
    iter=11        32.339      32.423      0.89333     0.90133     0.89733         0.9     0.90933     0.91333         0.92     0.92267     0.93333     0.93467       0.944       0.956     0.95867      0.97067      0.97333
    iter=12        28.486      26.785      0.87333     0.87333       0.884     0.88933       0.892     0.89467          0.9     0.90267     0.90933        0.92     0.92933     0.93333     0.94667      0.95333        0.964
    iter=13        25.169      22.408      0.85333     0.85867     0.85733     0.86133       0.872     0.87467      0.87867       0.884     0.89467     0.90267     0.91733        0.92     0.92667      0.93733        0.948
    iter=14        22.304      19.017      0.83333     0.83333     0.83867     0.84667     0.84133     0.85467      0.86267     0.87067       0.876     0.87733       0.892       0.904       0.912         0.92      0.92933
    iter=15        19.826      16.313      0.79867     0.80667       0.812     0.81733     0.82267       0.828      0.83333       0.836     0.84667     0.86133     0.86133       0.876     0.88933          0.9      0.91067
    iter=16         17.68      14.111        0.776        0.78     0.78267     0.79067     0.79333     0.79867      0.80667        0.82     0.81867     0.83067     0.84133     0.84933     0.86267      0.87333      0.88933
    iter=17        15.821      12.344      0.74667       0.748     0.75467       0.756       0.768     0.77333      0.77467     0.78267     0.80133     0.80533     0.81733       0.824     0.83467      0.85067        0.856
    iter=18        14.211      10.827      0.71333     0.71733     0.72533     0.73067     0.72933     0.74267        0.752        0.76     0.76133     0.77467     0.77867     0.79467     0.81333         0.82        0.832
    iter=19        12.817       9.568      0.68667     0.68533     0.68933     0.69733     0.70267     0.70667      0.72133     0.71867     0.73467       0.748     0.75333     0.76667     0.77333        0.788          0.8
    iter=20        11.609      8.4812      0.64267     0.64667     0.65867     0.65867     0.67067     0.67733      0.67867       0.692     0.70133     0.70267     0.72133     0.73067       0.744        0.752      0.76933
    iter=21        10.563        7.54      0.60133     0.61733     0.61333     0.62267     0.62533     0.63467        0.644     0.64933       0.656     0.67333        0.68     0.69467     0.71067        0.728      0.73867
    iter=22        9.6566      6.7059        0.568       0.568       0.576     0.58133       0.588       0.596        0.604        0.62        0.62     0.63067       0.644       0.652     0.66667      0.67867        0.692
    iter=23        8.8713      6.0208         0.52     0.53067       0.536     0.53867     0.54533       0.556        0.564       0.564     0.58133     0.59333     0.60133       0.616     0.62133         0.64      0.66133
    iter=24        8.1898      5.4204         0.48       0.476     0.48533     0.49867       0.504     0.50267      0.51733       0.528       0.536     0.54267     0.55867     0.57067     0.58533        0.592      0.61067
    iter=25        7.5969      4.8888      0.42933        0.44       0.436     0.44533     0.45733       0.464      0.46533     0.47867       0.488     0.49867       0.508     0.51867     0.53733        0.556      0.57067
    iter=26        7.0797      4.4278      0.39067     0.39333     0.40267     0.40133     0.40933     0.41467        0.424     0.42933       0.436       0.448     0.45867     0.47333       0.488      0.49867      0.51467
    iter=27        6.6267      4.0206        0.348     0.34533     0.36267     0.35467     0.36133     0.38267      0.38667     0.39333     0.40267         0.4     0.41867     0.42933        0.44      0.44933      0.45867
    iter=28        6.2277      3.6728      0.32533     0.32267     0.32267       0.328     0.34267     0.33867      0.33733       0.352     0.36133     0.37467       0.376       0.388       0.396      0.41467      0.42667
    iter=29        5.8742      3.3549         0.28       0.292       0.292     0.30667         0.3       0.304        0.316     0.32133     0.32667       0.336     0.34667     0.35467        0.36        0.372      0.38667
    iter=30        5.5588      3.0923         0.26        0.26     0.27333     0.26533        0.28       0.284        0.288     0.29467       0.292       0.308     0.31733     0.32267     0.32667        0.332        0.356
    iter=31        5.2752      2.8257      0.23867       0.244     0.24133       0.244     0.24667       0.252         0.26        0.26       0.276     0.27733     0.28133     0.28533     0.30667      0.31467      0.31867
    iter=32        5.0181       2.605        0.212       0.216       0.216       0.228     0.22533       0.232      0.23467     0.24133       0.244       0.252     0.25867     0.26933     0.26933      0.27733      0.29333
    iter=33        4.7831      2.4294      0.19733     0.19867         0.2     0.20533       0.208     0.20933        0.216        0.22       0.228     0.22667       0.232     0.23867     0.25333        0.264      0.26133
    iter=34        4.5666      2.3754      0.18133     0.17867     0.18667        0.18     0.18533       0.192      0.19867     0.19867       0.204       0.208     0.22533       0.228       0.224      0.23067      0.24933
    iter=35        4.3657      2.2559         0.16     0.17067     0.16133     0.17333       0.176     0.17467      0.17733     0.18133     0.19333     0.18667     0.19333       0.196     0.21467      0.22133      0.21733
    iter=36        4.1779      2.2063      0.14667     0.14667     0.15467       0.152       0.156     0.16533        0.164     0.16933       0.164     0.17867     0.17333       0.188     0.18267      0.18933      0.20667
    iter=37        4.0011      2.0389      0.13467     0.13733     0.13867     0.14667       0.144       0.144        0.144     0.14933     0.15467     0.16133     0.16533     0.16667     0.17867      0.18533      0.17867
    iter=38        3.8339      1.9072        0.124     0.13067       0.124       0.132     0.13333       0.128        0.136     0.13867     0.14667     0.14667     0.14533     0.15467     0.15867        0.164        0.168
    iter=39        3.6749      1.7911      0.11333       0.112     0.11867       0.112     0.12267     0.13067        0.128     0.13067       0.128     0.13067        0.14     0.14133     0.14267      0.14667         0.16
    iter=40         3.523      1.6313      0.10667     0.10533       0.108     0.11067     0.10933     0.11067      0.11467     0.12133       0.124     0.12267       0.132       0.132     0.13733        0.144      0.14267
    iter=41        3.3776      1.4592     0.090667    0.094667    0.093333       0.104    0.094667     0.10133      0.10267     0.10133       0.112       0.112     0.11333     0.11467       0.124      0.13067      0.13067
    iter=42        3.2379      1.3583     0.086667    0.085333    0.086667       0.088    0.093333    0.089333     0.090667    0.097333     0.10267     0.10533     0.10533     0.11067     0.10933        0.108      0.11733
    iter=43        3.1034      1.2572     0.082667        0.08    0.078667    0.081333    0.090667    0.089333     0.094667       0.088       0.088       0.088    0.094667         0.1    0.098667      0.10533      0.10933
    iter=44        2.9738      1.1789     0.073333    0.069333    0.077333    0.077333       0.072    0.081333     0.078667       0.088    0.082667    0.094667    0.094667       0.096         0.1      0.10133      0.10133
    iter=45        2.8486      1.0636     0.065333       0.068    0.070667       0.064       0.072    0.070667        0.072    0.074667    0.077333       0.076       0.084    0.078667    0.086667     0.090667     0.090667
    iter=46        2.7278     0.96743        0.056    0.061333    0.061333    0.065333    0.062667    0.062667        0.068    0.062667    0.073333    0.069333       0.068    0.077333    0.082667     0.081333        0.088
    iter=47         2.611     0.94454        0.056    0.061333    0.054667    0.062667    0.053333    0.058667     0.062667    0.061333    0.066667    0.069333    0.069333       0.068    0.065333     0.074667     0.077333
    iter=48        2.4982     0.86119     0.049333    0.049333    0.050667    0.053333    0.058667       0.056     0.053333    0.057333    0.057333    0.057333    0.058667    0.069333    0.070667     0.065333     0.073333
    iter=49        2.3891     0.82105        0.044    0.045333       0.048    0.046667    0.049333    0.053333     0.050667       0.056       0.052       0.056    0.057333    0.065333    0.057333     0.065333     0.066667
    iter=50        2.2838     0.76974     0.045333        0.04    0.042667    0.038667    0.053333       0.044     0.050667       0.052    0.050667    0.053333    0.057333    0.049333    0.057333     0.057333        0.056
    iter=111     0.075514    0.080008            0           0           0           0           0           0            0           0           0           0           0           0           0    0.0013333            0
    iter=112     0.071034           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=113     0.066817           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=114     0.062847    0.080008            0           0           0           0           0           0            0           0           0           0           0           0           0            0    0.0013333
    iter=115     0.059111           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=116     0.055595           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=117     0.052287           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=118     0.049174           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=119     0.046244           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=120     0.043488           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=121     0.040896           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=122     0.038456           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=123     0.036162           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=124     0.034003           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=125     0.031973           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=126     0.030063           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=127     0.028267    0.080008            0           0           0           0           0           0    0.0013333           0           0           0           0           0           0            0            0
    iter=128     0.026578           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=129     0.024989           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=130     0.023495           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=131      0.02209           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=132     0.020769           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=133     0.019526           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=134     0.018358    0.080008    0.0013333           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=135     0.017259           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=136     0.016226           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=137     0.015255           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=138     0.014342           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=139     0.013483           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=140     0.012675           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=141     0.011916           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=142     0.011202           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=143     0.010531           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=144    0.0099002           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=145     0.009307           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=146    0.0087492           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=147    0.0082249           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=148    0.0077319           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=149    0.0072685           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=150    0.0068328           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=151    0.0064232           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=152    0.0060381           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=153    0.0056761           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=154    0.0053358           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=155    0.0050159           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=156    0.0047151           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=157    0.0044324           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=158    0.0041666           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=159    0.0039168           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0
    iter=160    0.0036819           0            0           0           0           0           0           0            0           0           0           0           0           0           0            0            0

tb_val: V(a,z) value at each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-9.92598        -9999       -1322.5       -31.366      -22.873      -18.683        -15.87       -9.0125       -7.7164       -6.4977       -5.3381        -4.2393        -3.222
    a2=-9.84597       -72.91       -35.091       -26.488      -21.313      -17.815       -15.332       -8.8464       -7.5757       -6.3767       -5.2324        -4.1466       -3.1393
    a3=-9.76596      -41.951        -29.36       -23.575      -19.817      -17.059       -14.884       -8.6817        -7.438       -6.2578       -5.1283        -4.0548       -3.0573
    a4=-9.68596      -31.873       -26.435       -22.207      -18.987      -16.505        -14.48       -8.5221       -7.3029       -6.1406       -5.0257        -3.9641       -2.9761
    a5=-9.60595      -28.089       -24.155       -20.917      -18.249       -16.01       -14.109       -8.3668       -7.1704       -6.0253       -4.9244        -3.8745       -2.8957
    a6=-9.52594      -26.046       -22.708       -19.924      -17.565      -15.548       -13.765       -8.2152         -7.04       -5.9121       -4.8243        -3.7858       -2.8159
    a7=-9.44593       -24.28       -21.667        -19.16      -16.991      -15.111        -13.45        -8.067        -6.912       -5.8004       -4.7255         -3.698        -2.737
    a8=-9.36592      -23.016       -20.678       -18.499        -16.5      -14.723       -13.144       -7.9215       -6.7865       -5.6894        -4.628        -3.6111       -2.6588
    a9=-9.28592      -21.995       -19.881        -17.88      -16.053       -14.37       -12.854       -7.7788       -6.6621       -5.5799       -4.5317        -3.5251       -2.5813
    a10=-9.20591      -21.15       -19.199       -17.338      -15.621      -14.043       -12.582       -7.6392       -6.5395       -5.4721       -4.4365        -3.4399       -2.5045
    a11=-9.1259      -20.366       -18.604       -16.854      -15.227       -13.73       -12.325       -7.5026       -6.4188       -5.3658       -4.3423        -3.3551       -2.4284
    a12=-9.04589     -19.663       -18.046       -16.414      -14.862      -13.427       -12.079       -7.3685       -6.3003       -5.2611       -4.2492        -3.2713       -2.3528
    a13=-8.96588     -19.054       -17.527       -16.006      -14.524      -13.141       -11.843       -7.2372       -6.1838       -5.1577       -4.1571        -3.1882        -2.278
    a14=-8.88588     -18.503       -17.057       -15.609      -14.205      -12.869       -11.616        -7.108       -6.0692       -5.0556       -4.0657        -3.1061       -2.2037
    a15=-8.80587     -17.996       -16.622       -15.238      -13.903       -12.61       -11.395         -6.98       -5.9564       -4.9547        -3.975        -3.0246       -2.1302
    a16=-8.72586     -17.534       -16.221       -14.893      -13.606      -12.362       -11.178       -6.8545       -5.8451        -4.855       -3.8854        -2.9438       -2.0572
    a17=-8.64585      -17.08       -15.844       -14.566      -13.323      -12.124       -10.969       -6.7312       -5.7353       -4.7566       -3.7967        -2.8638       -1.9849
    a18=-8.56584     -16.657       -15.487       -14.258      -13.054      -11.895       -10.766       -6.6099       -5.6269       -4.6592       -3.7089        -2.7846       -1.9132
    a19=-8.48584     -16.264       -15.138       -13.964      -12.795      -11.671       -10.571       -6.4904       -5.5199        -4.563       -3.6219        -2.7061        -1.842
    a20=-8.40583     -15.898        -14.81       -13.683      -12.548      -11.451       -10.381       -6.3725       -5.4141       -4.4679       -3.5358        -2.6283       -1.7713
    a21=-8.32582     -15.546       -14.496       -13.407       -12.31       -11.24       -10.196       -6.2561       -5.3097       -4.3736       -3.4506        -2.5512       -1.7009
    a22=-8.24581     -15.215       -14.199       -13.142       -12.08      -11.035       -10.017       -6.1413       -5.2065       -4.2805       -3.3662        -2.4748       -1.6311
    a23=-8.1658      -14.898       -13.913       -12.886      -11.858      -10.836       -9.8424        -6.028       -5.1045       -4.1885       -3.2828        -2.3991       -1.5619
    a24=-8.0858      -14.596       -13.641       -12.641      -11.642      -10.643        -9.672       -5.9162       -5.0039       -4.0975       -3.2001         -2.324       -1.4931
    a25=-8.00579     -14.299       -13.378       -12.404      -11.429      -10.456       -9.5052       -5.8059       -4.9045       -4.0075       -3.1182        -2.2496       -1.4248
    a26=-7.92578     -14.013       -13.125       -12.175      -11.222      -10.273       -9.3397       -5.6972       -4.8059       -3.9184       -3.0371        -2.1757       -1.3571
    a27=-7.84577      -13.74       -12.879       -11.954      -11.022      -10.095       -9.1779         -5.59       -4.7082       -3.8297       -2.9568        -2.1024       -1.2899
    a28=-7.76576     -13.477       -12.637        -11.74      -10.828      -9.9213       -9.0195       -5.4843       -4.6118        -3.742       -2.8772        -2.0297       -1.2232
    a29=-7.68576     -13.225       -12.405       -11.531      -10.638       -9.751       -8.8639         -5.38       -4.5163       -3.6552       -2.7983        -1.9576        -1.157
    a30=-7.60575     -12.979       -12.179       -11.329      -10.452       -9.584       -8.7116       -5.2768        -4.422       -3.5692         -2.72        -1.8861       -1.0913
    a31=-7.52574     -12.742        -11.96       -11.129      -10.272      -9.4188       -8.5623        -5.175       -4.3288       -3.4842       -2.6424        -1.8152       -1.0261
    a32=-7.44573     -12.512       -11.747       -10.934      -10.096      -9.2573       -8.4158       -5.0737       -4.2366       -3.3999       -2.5656        -1.7448      -0.96134
    a33=-7.36572      -12.29       -11.541       -10.744      -9.9244       -9.099       -8.2721       -4.9738       -4.1455       -3.3164       -2.4894         -1.675      -0.89707
    a34=-7.28572     -12.074        -11.34       -10.559      -9.7562       -8.944       -8.1309       -4.8751       -4.0553       -3.2337       -2.4138        -1.6058      -0.83328
    a35=-7.20571     -11.861       -11.145       -10.378      -9.5912      -8.7918       -7.9923       -4.7776        -3.966       -3.1518       -2.3389        -1.5369      -0.76991
    a36=-7.1257      -11.652       -10.954         -10.2      -9.4298      -8.6426       -7.8562       -4.6813       -3.8776       -3.0706       -2.2646        -1.4685      -0.70696
    a37=-7.04569      -11.45       -10.767       -10.027      -9.2696      -8.4962       -7.7224       -4.5858         -3.79       -2.9902       -2.1908        -1.4005      -0.64447
    a38=-6.96568     -11.252       -10.585       -9.8579      -9.1126      -8.3527        -7.591       -4.4914       -3.7033       -2.9105       -2.1174        -1.3331      -0.58238
    a39=-6.88568      -11.06       -10.406       -9.6925      -8.9588      -8.2118       -7.4618        -4.398       -3.6175       -2.8314       -2.0446        -1.2662      -0.52071
    a40=-6.80567     -10.873        -10.23       -9.5304      -8.8079      -8.0734       -7.3341       -4.3055       -3.5324       -2.7531       -1.9725        -1.1997      -0.45947
    a41=-6.72566     -10.689       -10.057       -9.3715      -8.6599      -7.9372       -7.2076        -4.214       -3.4481       -2.6755       -1.9009        -1.1338      -0.39865
    a42=-6.64565     -10.509       -9.8885       -9.2154      -8.5144      -7.8032       -7.0828       -4.1234       -3.3646       -2.5986       -1.8298        -1.0682      -0.33824
    a43=-6.56564     -10.334       -9.7229       -9.0625      -8.3715      -7.6716         -6.96       -4.0336       -3.2819       -2.5223       -1.7593        -1.0032      -0.27824
    a44=-6.48564     -10.162       -9.5609       -8.9124      -8.2313      -7.5419        -6.839       -3.9448          -3.2       -2.4466       -1.6894       -0.93865      -0.21864
    a45=-6.40563     -9.9936        -9.402       -8.7633      -8.0934      -7.4141       -6.7194       -3.8568       -3.1189       -2.3716       -1.6199       -0.87455      -0.15943
    a46=-6.32562     -9.8288       -9.2462       -8.6169      -7.9576       -7.287       -6.6015       -3.7698       -3.0384       -2.2972        -1.551       -0.81091      -0.10062
    a47=-6.24561     -9.6672       -9.0933        -8.473       -7.824      -7.1617       -6.4854       -3.6836       -2.9587       -2.2234       -1.4826       -0.74773     -0.042193
    a48=-6.1656      -9.5086       -8.9431       -8.3316      -7.6927      -7.0385       -6.3708       -3.5982       -2.8797       -2.1502       -1.4147         -0.685      0.015846
    a49=-6.0856      -9.3513       -8.7957       -8.1927      -7.5635       -6.917       -6.2576       -3.5137        -2.801       -2.0776       -1.3474        -0.6227      0.073571
    a50=-6.00559     -9.1968       -8.6511       -8.0562       -7.436      -6.7972       -6.1457         -3.43        -2.723       -2.0055       -1.2805       -0.56083       0.13105
    a701=45.9996       12.43        12.476        12.528       12.585       12.646        12.712        13.027        13.121        13.221        13.328          13.44        13.553
    a702=46.0796      12.441        12.487        12.539       12.596       12.657        12.723        13.037        13.131        13.231        13.338         13.449        13.562
    a703=46.1596      12.452        12.498         12.55       12.606       12.668        12.733        13.047        13.141        13.241        13.347         13.459        13.571
    a704=46.2396      12.463        12.508         12.56       12.617       12.678        12.744        13.057        13.151         13.25        13.357         13.468         13.58
    a705=46.3196      12.474        12.519        12.571       12.628       12.689        12.754        13.067         13.16         13.26        13.366         13.477        13.589
    a706=46.3996      12.484         12.53        12.582       12.638       12.699        12.765        13.077         13.17         13.27        13.376         13.487        13.599
    a707=46.4796      12.495        12.541        12.592       12.649        12.71        12.775        13.087         13.18        13.279        13.385         13.496        13.608
    a708=46.5597      12.506        12.551        12.603       12.659        12.72        12.785        13.097         13.19        13.289        13.395         13.505        13.617
    a709=46.6397      12.517        12.562        12.614        12.67       12.731        12.796        13.107        13.199        13.299        13.404         13.514        13.626
    a710=46.7197      12.528        12.573        12.624        12.68       12.741        12.806        13.117        13.209        13.308        13.413         13.524        13.635
    a711=46.7997      12.538        12.584        12.635       12.691       12.751        12.816        13.127        13.219        13.318        13.423         13.533        13.644
    a712=46.8797      12.549        12.594        12.645       12.702       12.762        12.827        13.136        13.229        13.327        13.432         13.542        13.653
    a713=46.9597       12.56        12.605        12.656       12.712       12.772        12.837        13.146        13.238        13.337        13.442         13.551        13.662
    a714=47.0397      12.571        12.616        12.667       12.723       12.783        12.847        13.156        13.248        13.346        13.451         13.561        13.671
    a715=47.1197      12.581        12.626        12.677       12.733       12.793        12.858        13.166        13.258        13.356         13.46          13.57         13.68
    a716=47.1997      12.592        12.637        12.688       12.743       12.803        12.868        13.176        13.267        13.365         13.47         13.579        13.689
    a717=47.2797      12.603        12.647        12.698       12.754       12.814        12.878        13.185        13.277        13.375        13.479         13.588        13.698
    a718=47.3597      12.613        12.658        12.709       12.764       12.824        12.888        13.195        13.286        13.384        13.488         13.597        13.707
    a719=47.4397      12.624        12.669        12.719       12.775       12.834        12.898        13.205        13.296        13.394        13.498         13.606        13.716
    a720=47.5198      12.635        12.679         12.73       12.785       12.845        12.909        13.215        13.306        13.403        13.507         13.616        13.725
    a721=47.5998      12.645         12.69         12.74       12.795       12.855        12.919        13.224        13.315        13.413        13.516         13.625        13.734
    a722=47.6798      12.656          12.7        12.751       12.806       12.865        12.929        13.234        13.325        13.422        13.525         13.634        13.743
    a723=47.7598      12.666        12.711        12.761       12.816       12.875        12.939        13.244        13.334        13.431        13.535         13.643        13.752
    a724=47.8398      12.677        12.721        12.771       12.826       12.886        12.949        13.253        13.344        13.441        13.544         13.652        13.761
    a725=47.9198      12.687        12.732        12.782       12.837       12.896        12.959        13.263        13.353         13.45        13.553         13.661         13.77
    a726=47.9998      12.698        12.742        12.792       12.847       12.906        12.969        13.273        13.363        13.459        13.562          13.67        13.779
    a727=48.0798      12.708        12.752        12.802       12.857       12.916        12.979        13.282        13.372        13.469        13.571         13.679        13.788
    a728=48.1598      12.719        12.763        12.813       12.867       12.926         12.99        13.292        13.382        13.478        13.581         13.688        13.797
    a729=48.2398      12.729        12.773        12.823       12.878       12.936            13        13.301        13.391        13.487         13.59         13.697        13.805
    a730=48.3198       12.74        12.784        12.833       12.888       12.947         13.01        13.311        13.401        13.497        13.599         13.706        13.814
    a731=48.3998       12.75        12.794        12.844       12.898       12.957         13.02         13.32         13.41        13.506        13.608         13.715        13.823
    a732=48.4798      12.761        12.804        12.854       12.908       12.967         13.03         13.33        13.419        13.515        13.617         13.724        13.832
    a733=48.5599      12.771        12.815        12.864       12.918       12.977         13.04         13.34        13.429        13.524        13.626         13.733        13.841
    a734=48.6399      12.781        12.825        12.874       12.929       12.987         13.05        13.349        13.438        13.534        13.635         13.742        13.849
    a735=48.7199      12.792        12.835        12.885       12.939       12.997        13.059        13.359        13.448        13.543        13.645         13.751        13.858
    a736=48.7999      12.802        12.846        12.895       12.949       13.007        13.069        13.368        13.457        13.552        13.654          13.76        13.867
    a737=48.8799      12.812        12.856        12.905       12.959       13.017        13.079        13.377        13.466        13.561        13.663         13.769        13.876
    a738=48.9599      12.823        12.866        12.915       12.969       13.027        13.089        13.387        13.476        13.571        13.672         13.778        13.885
    a739=49.0399      12.833        12.876        12.925       12.979       13.037        13.099        13.396        13.485         13.58        13.681         13.786        13.893
    a740=49.1199      12.843        12.887        12.936       12.989       13.047        13.109        13.406        13.494        13.589         13.69         13.795        13.902
    a741=49.1999      12.854        12.897        12.946       12.999       13.057        13.119        13.415        13.503        13.598        13.699         13.804        13.911
    a742=49.2799      12.864        12.907        12.956       13.009       13.067        13.129        13.425        13.513        13.607        13.708         13.813        13.919
    a743=49.3599      12.874        12.917        12.966       13.019       13.077        13.139        13.434        13.522        13.616        13.717         13.822        13.928
    a744=49.4399      12.884        12.927        12.976       13.029       13.087        13.148        13.443        13.531        13.625        13.726         13.831        13.937
    a745=49.52        12.895        12.937        12.986       13.039       13.097        13.158        13.453         13.54        13.634        13.735          13.84        13.945
    a746=49.6         12.905        12.947        12.996       13.049       13.106        13.168        13.462         13.55        13.644        13.744         13.848        13.954
    a747=49.68        12.915        12.958        13.006       13.059       13.116        13.178        13.471        13.559        13.653        13.753         13.857        13.963
    a748=49.76        12.925        12.968        13.016       13.069       13.126        13.187        13.481        13.568        13.662        13.761         13.866        13.971
    a749=49.84        12.935        12.978        13.026       13.079       13.136        13.197         13.49        13.577        13.671         13.77         13.875         13.98
    a750=49.92        12.945        12.988        13.036       13.089       13.146        13.207        13.499        13.586         13.68        13.779         13.883        13.988

tb_pol_a: optimal asset choice for each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-9.92598       -9.926        -9.926        -9.846       -9.846       -9.846        -9.846       -9.6059       -9.5259       -9.3659       -9.2059       -8.9659       -8.7259 
    a2=-9.84597       -9.846        -9.846        -9.846       -9.766       -9.766        -9.766       -9.5259       -9.4459       -9.2859       -9.1259       -8.8859       -8.6459 
    a3=-9.76596       -9.846        -9.766        -9.766       -9.766       -9.766        -9.766       -9.5259       -9.3659       -9.2059       -9.0459       -8.8059       -8.5658 
    a4=-9.68596       -9.766        -9.766        -9.686       -9.686       -9.686        -9.686       -9.4459       -9.2859       -9.1259       -8.9659       -8.7259       -8.4858 
    a5=-9.60595       -9.686        -9.686        -9.686       -9.686      -9.6059       -9.6059       -9.3659       -9.2059       -9.0459       -8.8859       -8.6459       -8.4058 
    a6=-9.52594      -9.6059       -9.6059       -9.6059      -9.6059      -9.6059       -9.5259       -9.2859       -9.1259       -8.9659       -8.8059       -8.5658       -8.3258 
    a7=-9.44593      -9.6059       -9.6059       -9.5259      -9.5259      -9.5259       -9.4459       -9.2059       -9.0459       -8.9659       -8.7259       -8.4858       -8.2458 
    a8=-9.36592      -9.5259       -9.5259       -9.5259      -9.4459      -9.4459       -9.4459       -9.1259       -8.9659       -8.8859       -8.6459       -8.4058       -8.1658 
    a9=-9.28592      -9.4459       -9.4459       -9.4459      -9.4459      -9.3659       -9.3659       -9.0459       -8.9659       -8.8059       -8.5658       -8.3258       -8.0858 
    a10=-9.20591     -9.3659       -9.3659       -9.3659      -9.3659      -9.2859       -9.2859       -8.9659       -8.8859       -8.7259       -8.4858       -8.3258       -8.0058 
    a11=-9.1259      -9.3659       -9.2859       -9.2859      -9.2859      -9.2859       -9.2059       -8.8859       -8.8059       -8.6459       -8.4058       -8.2458       -7.9258 
    a12=-9.04589     -9.2859       -9.2859       -9.2059      -9.2059      -9.2059       -9.1259       -8.8059       -8.7259       -8.5658       -8.3258       -8.1658       -7.8458 
    a13=-8.96588     -9.2059       -9.2059       -9.2059      -9.1259      -9.1259       -9.0459       -8.7259       -8.6459       -8.4858       -8.2458       -8.0858       -7.7658 
    a14=-8.88588     -9.1259       -9.1259       -9.1259      -9.0459      -9.0459       -8.9659       -8.7259       -8.5658       -8.4058       -8.2458       -8.0058       -7.6858 
    a15=-8.80587     -9.0459       -9.0459       -9.0459      -9.0459      -8.9659       -8.9659       -8.6459       -8.4858       -8.3258       -8.1658       -7.9258       -7.6057 
    a16=-8.72586     -8.9659       -8.9659       -8.9659      -8.9659      -8.8859       -8.8859       -8.5658       -8.4058       -8.2458       -8.0858       -7.8458       -7.5257 
    a17=-8.64585     -8.9659       -8.8859       -8.8859      -8.8859      -8.8059       -8.8059       -8.4858       -8.3258       -8.1658       -8.0058       -7.7658       -7.4457 
    a18=-8.56584     -8.8859       -8.8859       -8.8059      -8.8059      -8.7259       -8.7259       -8.4058       -8.2458       -8.0858       -7.9258       -7.6858       -7.3657 
    a19=-8.48584     -8.8059       -8.8059       -8.7259      -8.7259      -8.7259       -8.6459       -8.3258       -8.1658       -8.0058       -7.8458       -7.6057       -7.2857 
    a20=-8.40583     -8.7259       -8.7259       -8.6459      -8.6459      -8.6459       -8.5658       -8.2458       -8.0858       -7.9258       -7.7658       -7.5257       -7.2857 
    a21=-8.32582     -8.6459       -8.6459       -8.6459      -8.5658      -8.5658       -8.4858       -8.1658       -8.0058       -7.8458       -7.6858       -7.4457       -7.2057 
    a22=-8.24581     -8.5658       -8.5658       -8.5658      -8.4858      -8.4858       -8.4058       -8.0858       -7.9258       -7.7658       -7.6057       -7.3657       -7.1257 
    a23=-8.1658      -8.4858       -8.4858       -8.4858      -8.4058      -8.4058       -8.3258       -8.0058       -7.8458       -7.6858       -7.5257       -7.2857       -7.0457 
    a24=-8.0858      -8.4858       -8.4058       -8.4058      -8.4058      -8.3258       -8.2458       -7.9258       -7.7658       -7.6057       -7.4457       -7.2057       -6.9657 
    a25=-8.00579     -8.4058       -8.3258       -8.3258      -8.3258      -8.2458       -8.2458       -7.8458       -7.6858       -7.5257       -7.3657       -7.1257       -6.8857 
    a26=-7.92578     -8.3258       -8.2458       -8.2458      -8.2458      -8.1658       -8.1658       -7.7658       -7.6858       -7.4457       -7.2857       -7.0457       -6.8057 
    a27=-7.84577     -8.2458       -8.2458       -8.1658      -8.1658      -8.0858       -8.0858       -7.6858       -7.6057       -7.4457       -7.2057       -6.9657       -6.7257 
    a28=-7.76576     -8.1658       -8.1658       -8.0858      -8.0858      -8.0058       -8.0058       -7.6057       -7.5257       -7.3657       -7.1257       -6.8857       -6.6457 
    a29=-7.68576     -8.0858       -8.0858       -8.0058      -8.0058      -7.9258       -7.9258       -7.5257       -7.4457       -7.2857       -7.0457       -6.8057       -6.5656 
    a30=-7.60575     -8.0058       -8.0058       -7.9258      -7.9258      -7.9258       -7.8458       -7.4457       -7.3657       -7.2057       -6.9657       -6.7257       -6.4856 
    a31=-7.52574     -7.9258       -7.9258       -7.9258      -7.8458      -7.8458       -7.7658       -7.4457       -7.2857       -7.1257       -6.8857       -6.6457       -6.4056 
    a32=-7.44573     -7.8458       -7.8458       -7.8458      -7.7658      -7.7658       -7.6858       -7.3657       -7.2057       -7.0457       -6.8057       -6.5656       -6.3256 
    a33=-7.36572     -7.7658       -7.7658       -7.7658      -7.6858      -7.6858       -7.6057       -7.2857       -7.1257       -6.9657       -6.7257       -6.4856       -6.2456 
    a34=-7.28572     -7.6858       -7.6858       -7.6858      -7.6057      -7.6057       -7.5257       -7.2057       -7.0457       -6.8857       -6.6457       -6.4056       -6.1656 
    a35=-7.20571     -7.6858       -7.6057       -7.6057      -7.5257      -7.5257       -7.4457       -7.1257       -6.9657       -6.8057       -6.5656       -6.4056       -6.0856 
    a36=-7.1257      -7.6057       -7.5257       -7.5257      -7.4457      -7.4457       -7.3657       -7.0457       -6.8857       -6.7257       -6.4856       -6.3256       -6.0056 
    a37=-7.04569     -7.5257       -7.4457       -7.4457      -7.4457      -7.3657       -7.2857       -6.9657       -6.8057       -6.6457       -6.4856       -6.2456       -5.9256 
    a38=-6.96568     -7.4457       -7.3657       -7.3657      -7.3657      -7.2857       -7.2057       -6.8857       -6.7257       -6.5656       -6.4056       -6.1656       -5.8456 
    a39=-6.88568     -7.3657       -7.3657       -7.2857      -7.2857      -7.2057       -7.1257       -6.8057       -6.6457       -6.4856       -6.3256       -6.0856       -5.7656 
    a40=-6.80567     -7.2857       -7.2857       -7.2057      -7.2057      -7.1257       -7.1257       -6.7257       -6.5656       -6.4056       -6.2456       -6.0056       -5.6856 
    a41=-6.72566     -7.2057       -7.2057       -7.1257      -7.1257      -7.0457       -7.0457       -6.6457       -6.4856       -6.3256       -6.1656       -5.9256       -5.6055 
    a42=-6.64565     -7.1257       -7.1257       -7.0457      -7.0457      -6.9657       -6.9657       -6.5656       -6.4056       -6.2456       -6.0856       -5.8456       -5.5255 
    a43=-6.56564     -7.0457       -7.0457       -6.9657      -6.9657      -6.8857       -6.8857       -6.4856       -6.3256       -6.1656       -6.0056       -5.7656       -5.4455 
    a44=-6.48564     -6.9657       -6.9657       -6.8857      -6.8857      -6.8057       -6.8057       -6.4056       -6.2456       -6.0856       -5.9256       -5.6856       -5.3655 
    a45=-6.40563     -6.8857       -6.8857       -6.8857      -6.8057      -6.7257       -6.7257       -6.3256       -6.1656       -6.0056       -5.8456       -5.6055       -5.2855 
    a46=-6.32562     -6.8057       -6.8057       -6.8057      -6.7257      -6.7257       -6.6457       -6.2456       -6.0856       -5.9256       -5.7656       -5.5255       -5.2055 
    a47=-6.24561     -6.7257       -6.7257       -6.7257      -6.6457      -6.6457       -6.5656       -6.1656       -6.0056       -5.8456       -5.6856       -5.4455       -5.1255 
    a48=-6.1656      -6.6457       -6.6457       -6.6457      -6.5656      -6.5656       -6.4856       -6.0856       -6.0056       -5.7656       -5.6055       -5.3655       -5.0455 
    a49=-6.0856      -6.6457       -6.5656       -6.5656      -6.4856      -6.4856       -6.4056       -6.0056       -5.9256       -5.6856       -5.5255       -5.2855       -5.0455 
    a50=-6.00559     -6.5656       -6.4856       -6.4856      -6.4056      -6.4056       -6.3256       -5.9256       -5.8456       -5.6055       -5.4455       -5.2055       -4.9655 
    a701=45.9996      43.679        43.679        43.759       43.759       43.839        43.919        44.319        44.479        44.639        44.879         45.12         45.44 
    a702=46.0796      43.759        43.759        43.839       43.839       43.919        43.999        44.399        44.559        44.719        44.959          45.2         45.52 
    a703=46.1596      43.839        43.839        43.919       43.919       43.999        44.079        44.479        44.639        44.799         45.04         45.28          45.6 
    a704=46.2396      43.919        43.919        43.999       43.999       44.079        44.159        44.559        44.719        44.879         45.12         45.36         45.68 
    a705=46.3196      43.999        43.999        44.079       44.079       44.159        44.239        44.639        44.799        44.959          45.2         45.44         45.76 
    a706=46.3996      44.079        44.079        44.159       44.159       44.239        44.319        44.719        44.879         45.04         45.28         45.52         45.84 
    a707=46.4796      44.159        44.159        44.239       44.239       44.319        44.399        44.799        44.959         45.12         45.36          45.6         45.92 
    a708=46.5597      44.239        44.239        44.319       44.319       44.399        44.479        44.879         45.04          45.2         45.44         45.68            46 
    a709=46.6397      44.319        44.319        44.399       44.399       44.479        44.559        44.959         45.12         45.28         45.52         45.76         46.08 
    a710=46.7197      44.399        44.399        44.479       44.479       44.559        44.639         45.04          45.2         45.36          45.6         45.84         46.16 
    a711=46.7997      44.479        44.479        44.559       44.559       44.639        44.719         45.12         45.28         45.44         45.68         45.92         46.16 
    a712=46.8797      44.559        44.559        44.639       44.639       44.719        44.799          45.2         45.36         45.52         45.76            46         46.24 
    a713=46.9597      44.639        44.639        44.639       44.719       44.799        44.879         45.28         45.44          45.6         45.84         46.08         46.32 
    a714=47.0397      44.639        44.719        44.719       44.799       44.879        44.959         45.36         45.52         45.68         45.92         46.16          46.4 
    a715=47.1197      44.719        44.799        44.799       44.879       44.959         45.04         45.44          45.6         45.76            46         46.24         46.48 
    a716=47.1997      44.799        44.879        44.879       44.959        45.04         45.12         45.52         45.68         45.84         46.08         46.32         46.56 
    a717=47.2797      44.879        44.959        44.959        45.04        45.12          45.2          45.6         45.76         45.92         46.16          46.4         46.64 
    a718=47.3597      44.959         45.04         45.04        45.12         45.2         45.28         45.68         45.84            46         46.24         46.48         46.72 
    a719=47.4397       45.04         45.12         45.12         45.2        45.28         45.36         45.76         45.92         46.08         46.32         46.56          46.8 
    a720=47.5198       45.12          45.2          45.2        45.28        45.36         45.36         45.84            46         46.16          46.4         46.64         46.88 
    a721=47.5998        45.2         45.28         45.28        45.36        45.44         45.44         45.92         46.08         46.24          46.4         46.72         46.96 
    a722=47.6798       45.28         45.36         45.36        45.44        45.52         45.52            46         46.16         46.32         46.48          46.8         47.04 
    a723=47.7598       45.36         45.44         45.44        45.52         45.6          45.6         46.08         46.24          46.4         46.56         46.88         47.12 
    a724=47.8398       45.44         45.52         45.52         45.6        45.68         45.68         46.16         46.32         46.48         46.64         46.88          47.2 
    a725=47.9198       45.52          45.6          45.6        45.68        45.68         45.76         46.24         46.32         46.56         46.72         46.96         47.28 
    a726=47.9998        45.6         45.68         45.68        45.76        45.76         45.84         46.32          46.4         46.64          46.8         47.04         47.36 
    a727=48.0798       45.68         45.76         45.76        45.84        45.84         45.92          46.4         46.48         46.72         46.88         47.12         47.44 
    a728=48.1598       45.76         45.84         45.84        45.92        45.92            46          46.4         46.56          46.8         46.96          47.2         47.52 
    a729=48.2398       45.84         45.92         45.92           46           46         46.08         46.48         46.64         46.88         47.04         47.28          47.6 
    a730=48.3198       45.92         45.92            46        46.08        46.08         46.16         46.56         46.72         46.96         47.12         47.36         47.68 
    a731=48.3998          46            46         46.08        46.16        46.16         46.24         46.64          46.8         47.04          47.2         47.44         47.76 
    a732=48.4798       46.08         46.08         46.16        46.24        46.24         46.32         46.72         46.88         47.12         47.28         47.52         47.84 
    a733=48.5599       46.16         46.16         46.24        46.32        46.32          46.4          46.8         46.96          47.2         47.36          47.6         47.92 
    a734=48.6399       46.24         46.24         46.32         46.4         46.4         46.48         46.88         47.04         47.28         47.44         47.68            48 
    a735=48.7199       46.32         46.32          46.4         46.4        46.48         46.56         46.96         47.12         47.28         47.52         47.76         48.08 
    a736=48.7999        46.4          46.4         46.48        46.48        46.56         46.64         47.04          47.2         47.36          47.6         47.84         48.16 
    a737=48.8799       46.48         46.48         46.56        46.56        46.64         46.72         47.12         47.28         47.44         47.68         47.92         48.24 
    a738=48.9599       46.56         46.56         46.64        46.64        46.72          46.8          47.2         47.36         47.52         47.76            48         48.32 
    a739=49.0399       46.64         46.64         46.72        46.72         46.8         46.88         47.28         47.44          47.6         47.84         48.08          48.4 
    a740=49.1199       46.72         46.72          46.8         46.8        46.88         46.96         47.36         47.52         47.68         47.92         48.16         48.48 
    a741=49.1999        46.8          46.8         46.88        46.88        46.96         47.04         47.44          47.6         47.76            48         48.24         48.56 
    a742=49.2799       46.88         46.88         46.96        46.96        47.04         47.12         47.52         47.68         47.84         48.08         48.32         48.64 
    a743=49.3599       46.96         46.96         47.04        47.04        47.12          47.2          47.6         47.76         47.92         48.16          48.4         48.72 
    a744=49.4399       47.04         47.04         47.12        47.12         47.2         47.28         47.68         47.84            48         48.24         48.48          48.8 
    a745=49.52         47.12         47.12          47.2         47.2        47.28         47.36         47.76         47.92         48.08         48.32         48.56         48.88 
    a746=49.6           47.2          47.2         47.28        47.28        47.36         47.44         47.84            48         48.16          48.4         48.64         48.96 
    a747=49.68         47.28         47.28         47.36        47.36        47.44         47.52         47.92         48.08         48.24         48.48         48.72         49.04 
    a748=49.76         47.36         47.36         47.44        47.44        47.52          47.6            48         48.16         48.32         48.56          48.8         49.04 
    a749=49.84         47.44         47.44         47.44        47.52         47.6         47.68         48.08         48.24          48.4         48.64         48.88         49.12 
    a750=49.92         47.52         47.52         47.52         47.6        47.68         47.76         48.16         48.32         48.48         48.72         48.96          49.2 

Simulate Save/Borrow, Can Default: cmin = 0.00001, choose not to default

Default is allowed, borrowing is allowed, very low minimum consumption value when default happens.

[param_map, support_map] = ffs_abz_set_default_param(it_param_set);

% allow for borrowing, when using a very large negative value for fl_b_bd
% that means the natural borrowing constraint will bind.
param_map('fl_b_bd') = -20;
param_map('bl_default') = true;
param_map('fl_c_min') = 0.00001;

% shared parameters
param_map('fl_a_min') = 0;
param_map('fl_a_max') = fl_a_max;
param_map('it_a_n') = it_a_n;
param_map('fl_r_save') = fl_r_save;
param_map('fl_r_borr') = fl_r_borr;
param_map('fl_w') = fl_w;

% solution
param_map('it_z_n') = it_z_n;
param_map('it_maxiter_val') = it_maxiter_val;

% Display Parameters
support_map('bl_display') = bl_display;
support_map('bl_post') = bl_post;
support_map('bl_display_final') = bl_display_final;

% Call Program
ff_abz_vf_vecsv(param_map, support_map);

% Snap
snapnow;

close all;
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_a_n): percentage of state space points conditional on shock where the policy function is changing across iterations
                 valgap       polgap        z1          z2           z3          z4          z5           z6          z7          z8          z9         z10         z11         z12         z13         z14          z15   
                _________    ________    ________    _________    ________    ________    _________    ________    ________    ________    ________    ________    ________    ________    ________    ________    _________

    iter=1         2191.7        2013           1            1           1           1            1           1           1           1           1           1           1           1           1           1            1
    iter=2         1341.6        2147     0.99333      0.99333     0.99467       0.996      0.99733     0.99867           1           1           1           1           1           1           1           1            1
    iter=3         763.63      717.13       0.988      0.98933     0.98933     0.99067        0.992     0.99467     0.99733     0.99867           1           1           1           1           1           1            1
    iter=4         464.71      358.44     0.98267      0.98533       0.984     0.98533        0.988     0.99067     0.99467     0.99467     0.99867           1           1           1           1           1            1
    iter=5          306.4      214.47     0.97733      0.97867     0.97867     0.98133        0.984     0.98667       0.988       0.992     0.99467     0.99733           1           1           1           1            1
    iter=6         217.29      142.96       0.972      0.97333       0.972       0.976      0.97867     0.98267       0.984     0.98933       0.992     0.99467     0.99733     0.99733     0.99733           1            1
    iter=7         164.02      102.06     0.96267        0.964     0.96667       0.968        0.972     0.97733     0.97733     0.98133     0.98533     0.98933     0.99467     0.99733     0.99867           1            1
    iter=8         130.13      76.004     0.95333      0.95867     0.95867     0.95867      0.96267     0.96667     0.96933     0.97467     0.97467       0.984     0.98533       0.988     0.99333       0.996      0.99867
    iter=9         107.23      58.923     0.94133      0.94133     0.94667     0.94933      0.94933     0.95067     0.95733        0.96     0.96667     0.96933     0.97733     0.98267       0.984     0.98933      0.99333
    iter=10        90.864      47.022     0.92267        0.932     0.93067     0.93333      0.93733       0.944       0.944     0.94933     0.95333     0.96133       0.964     0.96933     0.97867     0.98267      0.98533
    iter=11        78.631       38.24       0.908      0.91333       0.912       0.916      0.92533     0.92667       0.932     0.93733     0.93867     0.94133       0.948       0.956     0.96133     0.96933      0.97467
    iter=12        69.135      31.618       0.892      0.89067     0.89867         0.9          0.9     0.90667     0.91333        0.92       0.924       0.932       0.936     0.94533     0.95333        0.96        0.964
    iter=13        61.542      26.613     0.87333      0.87733     0.87733     0.88267      0.88533     0.88933     0.89733     0.89733       0.904     0.91467     0.91867     0.92667     0.93733       0.944      0.94933
    iter=14         55.32      22.647     0.84533      0.85067     0.85333        0.86      0.86267     0.86933     0.87067     0.87733     0.89067     0.88933         0.9     0.90933     0.91733     0.92267         0.94
    iter=15        50.127      19.458     0.82933      0.83467     0.83067     0.84133      0.84267     0.84533       0.852       0.856       0.864     0.87467        0.88       0.884     0.89733       0.904      0.91067
    iter=16        45.721      16.912     0.80267          0.8     0.81333       0.812      0.81867     0.82133       0.832     0.83467     0.83733     0.84533     0.85733       0.868       0.872       0.888      0.89733
    iter=17        41.934       14.82     0.77333      0.78533     0.77733     0.78667      0.78933     0.80667     0.80133     0.80667        0.82     0.83067       0.832        0.84     0.85067     0.85867      0.86667
    iter=18        38.643       13.04     0.74133      0.74667     0.75733       0.756        0.764     0.76667     0.77333       0.776       0.784     0.79333     0.79867     0.81467       0.828       0.836        0.844
    iter=19        35.754      11.552        0.72         0.72     0.72533     0.72533      0.73333     0.73333       0.744     0.75467     0.75733       0.764        0.78     0.78667     0.79333         0.8      0.81467
    iter=20        33.199      10.266     0.67867      0.68533     0.68667     0.69733      0.70133     0.71067     0.70933       0.716     0.72667     0.73733     0.73867     0.74667       0.756     0.77333        0.788
    iter=21         30.92      9.1754       0.652      0.64533     0.66133     0.65333        0.668     0.66933       0.676        0.68       0.688     0.69867     0.70933        0.72       0.736     0.73867        0.752
    iter=22        28.876      8.2365       0.604        0.612     0.61067     0.62667      0.62267     0.63467     0.64267       0.648     0.65467     0.66267     0.67333     0.68133     0.68933       0.704         0.72
    iter=23        27.029      7.4316       0.572      0.57067     0.58267       0.584      0.59333       0.588     0.59467       0.608       0.616       0.624     0.63333       0.644       0.656     0.66933        0.676
    iter=24        25.353      6.7153     0.52267        0.536       0.532        0.54      0.54933     0.55333     0.56267     0.56267     0.57067     0.58667     0.58933     0.60267       0.612     0.62133        0.636
    iter=25        23.823      6.1118     0.48533      0.48533       0.488     0.49733      0.49467       0.512     0.51333       0.524     0.53467     0.53867       0.544       0.556       0.568     0.58133        0.596
    iter=26         22.42      5.5978       0.432      0.44533       0.448     0.45067      0.45733     0.45733     0.46933     0.47467     0.47733       0.492     0.50533     0.51733       0.532     0.53867        0.548
    iter=27         21.13       5.129     0.39733          0.4     0.40933     0.40667      0.41733       0.424       0.424     0.42933        0.44     0.45333       0.456     0.46667     0.46933       0.488      0.50267
    iter=28        19.938      4.7146     0.36133        0.364       0.372     0.37333        0.384       0.384     0.38933         0.4       0.404     0.40667     0.42133       0.428     0.43867       0.444      0.45867
    iter=29        18.834      4.3315        0.34      0.33733       0.332     0.34533      0.34267     0.34533       0.356     0.36133     0.37333     0.36667     0.38267       0.388       0.404       0.408        0.416
    iter=30        17.807      4.0064     0.30133        0.312     0.31467     0.31467      0.31733       0.328       0.332       0.332     0.33733       0.348       0.352     0.35733     0.36533     0.38133      0.38933
    iter=31         16.85      3.6458     0.28133      0.27733     0.29067       0.288      0.29733     0.29067     0.29733     0.30133       0.304       0.316     0.31467     0.32533       0.328     0.34267      0.35733
    iter=32        15.956      3.4078     0.25733      0.26133       0.256     0.26933        0.264       0.272     0.27067     0.28533     0.28533     0.28933     0.30267     0.30933       0.316       0.316        0.316
    iter=33        15.119      3.1569     0.23867        0.236       0.244     0.23733        0.252     0.25467       0.256     0.24933       0.264     0.27333       0.268     0.27467     0.28533     0.28933      0.30533
    iter=34        14.333      3.0251     0.21467      0.22667     0.21867       0.228      0.22267     0.22933       0.236       0.252     0.24533     0.23867     0.25733       0.256       0.264       0.268      0.27333
    iter=35        13.595      2.8224         0.2          0.2     0.20667     0.21333        0.212       0.216     0.21333     0.21333        0.22     0.23333     0.23067     0.23733     0.24133     0.25467      0.26133
    iter=36        12.899      2.7369     0.18933      0.18667       0.184     0.19067      0.19067     0.19467     0.20667     0.20533       0.216       0.212     0.22133       0.224       0.228       0.228      0.22667
    iter=37        12.244      2.5362     0.17733      0.17333        0.18       0.176        0.188     0.17867        0.18       0.188     0.17867     0.19467     0.19067       0.204     0.20133        0.22        0.228
    iter=38        11.625      2.4585     0.15333      0.15733       0.168     0.16533      0.16533     0.17333     0.17333     0.17333     0.18133     0.17733     0.18533     0.18267     0.19333     0.19467      0.19867
    iter=39         11.04      2.3471     0.14667      0.15867     0.14933     0.15467      0.14933     0.15733        0.16       0.164     0.17067     0.17067     0.17333     0.18133     0.18133       0.184      0.18933
    iter=40        10.487      2.1275     0.14267      0.12667     0.13733     0.13867      0.14533       0.144     0.14667       0.148     0.14267       0.152     0.15467       0.156     0.16533       0.172        0.172
    iter=41        9.9635       2.038        0.12        0.128       0.136     0.12533        0.136     0.13333     0.13867       0.136     0.14133     0.14667     0.14933     0.15067     0.15867       0.148      0.15467
    iter=42        9.4674      1.9378     0.12133        0.124     0.11733     0.12667      0.12267     0.12667     0.13067     0.13067     0.13867       0.132     0.13733       0.144     0.14267     0.15333      0.15867
    iter=43        8.9971      1.7765     0.11067        0.112     0.10667       0.116        0.112       0.116       0.116     0.12267     0.11867     0.11867     0.12933     0.12933     0.13333     0.13733      0.14133
    iter=44        8.5509      1.6371         0.1      0.10533     0.10667     0.10667        0.108     0.10667     0.10533     0.10933       0.112     0.12133       0.112     0.11733     0.12133     0.12933        0.128
    iter=45        8.1273      1.5651       0.092     0.093333         0.1    0.094667      0.10133     0.10533       0.104       0.104     0.10667       0.112     0.11467       0.116     0.12133       0.116      0.12133
    iter=46        7.7251      1.4987    0.090667        0.088    0.093333    0.093333     0.090667    0.098667       0.096     0.10267     0.10667    0.093333     0.11067     0.11067       0.104       0.112        0.116
    iter=47        7.3431      1.3835    0.078667        0.084       0.076    0.086667     0.081333    0.082667    0.094667    0.090667    0.089333    0.094667       0.092    0.097333         0.1     0.10267        0.108
    iter=48          6.98      1.3036    0.082667     0.081333        0.08    0.082667     0.082667    0.078667        0.08    0.082667       0.084       0.088    0.085333    0.090667    0.090667    0.098667     0.094667
    iter=49        6.6349      1.2187    0.070667     0.070667    0.069333    0.069333        0.076       0.076       0.076    0.078667    0.074667        0.08       0.084    0.082667    0.086667    0.082667        0.092
    iter=50        6.3068      1.1637       0.072        0.068    0.074667       0.068        0.068       0.068    0.070667       0.072    0.073333    0.078667    0.073333       0.076    0.082667       0.088     0.082667
    iter=145      0.03145    0.093458           0            0           0           0    0.0013333           0           0           0           0           0           0           0           0           0            0
    iter=146       0.0296           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=147     0.027857    0.093458           0            0           0           0    0.0013333           0           0           0           0           0           0           0           0           0            0
    iter=148     0.026216           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=149      0.02467           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=150     0.023214    0.093458           0            0           0           0            0           0           0           0           0           0           0           0           0           0    0.0013333
    iter=151     0.021843           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=152     0.020553           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=153     0.019338           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=154     0.018194    0.093458           0    0.0013333           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=155     0.017117           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=156     0.016103           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=157     0.015149           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=158     0.014251           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=159     0.013406           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=160      0.01261           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=161     0.011861           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=162     0.011157           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=163     0.010494           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=164      0.00987           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=165    0.0092831           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=166    0.0087308           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=167    0.0082112           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=168    0.0077224    0.093458           0            0           0           0    0.0013333           0           0           0           0           0           0           0           0           0            0
    iter=169    0.0072625           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=170    0.0068298           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=171    0.0064228           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=172      0.00604           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=173    0.0056799           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=174    0.0053411           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=175    0.0050225           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=176    0.0047228           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=177    0.0044409           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=178    0.0041758           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=179    0.0039264           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=180    0.0036919           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=181    0.0034714           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=182     0.003264           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=183    0.0030689           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=184    0.0028855           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=185     0.002713           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=186    0.0025508           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=187    0.0023983           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=188    0.0022548           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=189    0.0021199           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=190    0.0019931           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=191    0.0018739           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=192    0.0017617           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=193    0.0016563           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0
    iter=194    0.0015572           0           0            0           0           0            0           0           0           0           0           0           0           0           0           0            0

tb_val: V(a,z) value at each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20           -631.21       -631.02       -630.81      -630.59      -630.35       -318.91       -58.747       -44.743       -35.042       -28.172        -23.04       -19.107 
    a2=-19.9065      -631.21       -631.02       -630.81      -630.59      -415.33       -258.64       -55.995       -43.063       -34.007        -27.49        -22.57       -18.758 
    a3=-19.8131      -631.21       -631.02       -630.81      -496.64      -341.84       -221.28       -53.506       -41.513       -33.037       -26.841       -22.119       -18.421 
    a4=-19.7196      -631.21       -631.02       -552.88      -426.87      -291.08       -194.85       -51.242       -40.084       -32.127       -26.221       -21.676       -18.093 
    a5=-19.6262       -597.7       -581.75       -501.77       -368.7      -254.67       -174.33       -49.179        -38.76       -31.268       -25.627       -21.247       -17.775 
    a6=-19.5327      -585.73       -553.58       -447.08      -323.99      -226.26        -157.7       -47.288       -37.529       -30.455       -25.061       -20.835       -17.465 
    a7=-19.4393      -562.39       -513.11        -399.1      -287.97      -203.23       -143.85       -45.548        -36.38       -29.684       -24.518       -20.436       -17.164 
    a8=-19.3458      -530.66        -450.9       -357.26      -258.55      -183.97       -132.03         -43.9       -35.303       -28.952           -24       -20.051       -16.871 
    a9=-19.2523       -487.2       -408.02       -323.14      -233.37      -167.41       -121.86       -42.346        -34.29       -28.255       -23.499       -19.679       -16.585 
    a10=-19.1589     -455.83       -370.26        -292.5      -210.97      -153.32       -112.95       -40.905       -33.337       -27.593       -23.019        -19.32       -16.307 
    a11=-19.0654     -421.75       -332.71       -263.44       -192.2      -140.99        -105.1       -39.563       -32.435       -26.958       -22.558       -18.971       -16.036 
    a12=-18.972      -382.76       -301.59       -239.33      -175.73       -130.1       -98.173       -38.311       -31.582       -26.351       -22.116       -18.633       -15.771 
    a13=-18.8785     -348.41       -274.99       -218.25      -160.98      -120.56       -92.005       -37.135        -30.77       -25.772       -21.689       -18.306       -15.512 
    a14=-18.785      -319.69        -249.9       -198.87      -148.14      -112.11        -86.49        -36.03       -29.999       -25.209       -21.275       -17.988       -15.259 
    a15=-18.6916     -291.37       -227.67       -181.98      -136.81      -104.57       -81.546       -34.988       -29.266       -24.666       -20.869       -17.679       -15.012 
    a16=-18.5981     -265.07       -208.27       -167.14      -126.68       -97.85       -77.092       -34.002       -28.571       -24.144       -20.478       -17.377       -14.771 
    a17=-18.5047     -242.11       -190.88       -153.81      -117.67      -91.834       -73.064       -33.066       -27.907       -23.644         -20.1       -17.084       -14.534 
    a18=-18.4112     -221.65       -175.25       -141.93      -109.65      -86.424       -69.408       -32.185       -27.273       -23.166       -19.734       -16.798       -14.302 
    a19=-18.3178     -202.89       -161.34       -131.38      -102.46      -81.547       -66.075       -31.349       -26.652       -22.706       -19.379        -16.52       -14.075 
    a20=-18.2243     -186.05       -148.94       -121.94      -96.005      -77.134       -63.012       -30.554       -26.059       -22.264       -19.035       -16.248        -13.85 
    a21=-18.1308     -171.09       -137.87        -113.5        -90.2      -73.118       -60.191       -29.803       -25.495       -21.837       -18.701       -15.981       -13.629 
    a22=-18.0374     -157.73       -127.93       -105.92      -84.957      -69.455       -57.606       -29.092       -24.955       -21.425       -18.377        -15.72       -13.412 
    a23=-17.9439     -145.69       -119.03       -99.115      -80.212      -66.116       -55.228       -28.417       -24.437       -21.028       -18.062       -15.462       -13.199 
    a24=-17.8505      -134.9       -111.05       -92.991       -75.91      -63.067       -52.963       -27.774        -23.94       -20.643       -17.754        -15.21        -12.99 
    a25=-17.757      -125.27       -103.88       -87.465      -72.003      -60.256       -50.845       -27.162       -23.464       -20.271       -17.454       -14.962       -12.784 
    a26=-17.6636     -116.62       -97.416        -82.47      -68.436      -57.667       -48.881       -26.578       -23.006        -19.91       -17.161       -14.721       -12.583 
    a27=-17.5701     -108.84       -91.588       -77.944      -65.174      -55.282       -47.063       -26.017       -22.565       -19.559       -16.875       -14.483       -12.386 
    a28=-17.4766     -101.84       -86.323       -73.833      -62.188      -53.086       -45.381       -25.468       -22.139       -19.218       -16.596       -14.251       -12.191 
    a29=-17.3832     -95.547       -81.552       -70.092      -59.452      -51.061       -43.822       -24.943       -21.728       -18.887       -16.322       -14.024       -12.001 
    a30=-17.2897     -89.864       -77.222       -66.683      -56.942      -49.191       -42.376       -24.438       -21.329       -18.563       -16.055       -13.801       -11.813 
    a31=-17.1963     -84.723       -73.288       -63.571      -54.636      -47.444       -41.033       -23.954       -20.944       -18.248       -15.794       -13.583       -11.629 
    a32=-17.1028     -80.069       -69.706       -60.726      -52.514      -45.775       -39.778       -23.488        -20.57        -17.94        -15.54       -13.369       -11.448 
    a33=-17.0093     -75.849       -66.438       -58.121      -50.553      -44.224       -38.597       -23.038       -20.205       -17.636        -15.29       -13.159       -11.269 
    a34=-16.9159     -72.013       -63.449       -55.728      -48.728      -42.772       -37.489       -22.604       -19.851       -17.338       -15.046       -12.953       -11.093 
    a35=-16.8224      -68.52       -60.708       -53.517      -47.036      -41.417       -36.447       -22.183       -19.505       -17.049       -14.804       -12.751       -10.919 
    a36=-16.729      -65.331       -58.193        -51.48       -45.46       -40.15       -35.467       -21.775       -19.169       -16.766       -14.568       -12.552       -10.748 
    a37=-16.6355     -62.418       -55.875       -49.594      -43.993      -38.964       -34.543       -21.378       -18.841        -16.49       -14.336       -12.357        -10.58 
    a38=-16.5421     -59.747       -53.737       -47.846      -42.624      -37.853       -33.672       -20.992       -18.517        -16.22       -14.109       -12.165       -10.414 
    a39=-16.4486     -57.292       -51.761       -46.223      -41.344       -36.81       -32.848       -20.616       -18.201       -15.957       -13.887       -11.976       -10.251 
    a40=-16.3551     -55.034       -49.931       -44.715      -40.147      -35.829       -32.067       -20.251       -17.893         -15.7       -13.669        -11.79        -10.09 
    a41=-16.2617     -52.952       -48.233       -43.309      -38.989      -34.905       -31.323       -19.896       -17.594       -15.449       -13.455       -11.607        -9.931 
    a42=-16.1682     -51.026       -46.634       -41.997      -37.896      -34.031        -30.61       -19.551       -17.302       -15.202       -13.245       -11.427       -9.7743 
    a43=-16.0748     -49.244       -45.107       -40.771      -36.869      -33.198       -29.927       -19.216       -17.017       -14.961       -13.039        -11.25       -9.6196 
    a44=-15.9813      -47.59       -43.685       -39.612      -35.894      -32.404       -29.272        -18.89       -16.739       -14.726       -12.836       -11.075        -9.467 
    a45=-15.8879     -46.047       -42.351        -38.52       -34.97      -31.647       -28.644       -18.572       -16.467       -14.495       -12.637       -10.903       -9.3165 
    a46=-15.7944     -44.604       -41.099       -37.488      -34.095      -30.924       -28.031       -18.263       -16.202       -14.268       -12.442       -10.734       -9.1675 
    a47=-15.7009     -43.247       -39.919       -36.511      -33.262      -30.234       -27.439       -17.962       -15.943       -14.046       -12.249       -10.565       -9.0199 
    a48=-15.6075     -41.976       -38.808       -35.586       -32.47      -29.571       -26.868       -17.664        -15.69       -13.829        -12.06       -10.399       -8.8741 
    a49=-15.514      -40.781        -37.76       -34.707      -31.713      -28.936       -26.319       -17.374       -15.442       -13.615       -11.874       -10.236       -8.7301 
    a50=-15.4206     -39.655        -36.77       -33.871      -30.991      -28.326        -25.79       -17.091         -15.2       -13.405        -11.69       -10.074       -8.5881 
    a701=45.4206       12.38        12.426        12.478       12.535       12.597        12.663         12.98        13.074        13.175        13.282        13.394        13.508 
    a702=45.514       12.392        12.438        12.491       12.548       12.609        12.676        12.992        13.085        13.186        13.293        13.405        13.518 
    a703=45.6075      12.405        12.451        12.503        12.56       12.622        12.688        13.003        13.097        13.197        13.304        13.416        13.529 
    a704=45.7009      12.418        12.464        12.516       12.573       12.634          12.7        13.015        13.109        13.209        13.316        13.427         13.54 
    a705=45.7944      12.431        12.476        12.528       12.585       12.647        12.712        13.027         13.12         13.22        13.327        13.438        13.551 
    a706=45.8879      12.443        12.489        12.541       12.598       12.659        12.725        13.038        13.131        13.231        13.338        13.449        13.561 
    a707=45.9813      12.456        12.502        12.553        12.61       12.671        12.737         13.05        13.143        13.243        13.349         13.46        13.572 
    a708=46.0748      12.469        12.514        12.566       12.623       12.683        12.749        13.061        13.154        13.254         13.36        13.471        13.583 
    a709=46.1682      12.481        12.527        12.578       12.635       12.696        12.761        13.073        13.166        13.265        13.371        13.482        13.593 
    a710=46.2617      12.494        12.539        12.591       12.647       12.708        12.773        13.085        13.177        13.276        13.382        13.493        13.604 
    a711=46.3551      12.507        12.552        12.603        12.66        12.72        12.785        13.096        13.188        13.288        13.393        13.503        13.615 
    a712=46.4486      12.519        12.564        12.616       12.672       12.732        12.797        13.108          13.2        13.299        13.404        13.514        13.625 
    a713=46.5421      12.532        12.577        12.628       12.684       12.745        12.809        13.119        13.211         13.31        13.415        13.525        13.636 
    a714=46.6355      12.544        12.589         12.64       12.696       12.757        12.821        13.131        13.222        13.321        13.426        13.536        13.647 
    a715=46.729       12.557        12.602        12.653       12.709       12.769        12.833        13.142        13.234        13.332        13.437        13.546        13.657 
    a716=46.8224      12.569        12.614        12.665       12.721       12.781        12.845        13.153        13.245        13.343        13.448        13.557        13.668 
    a717=46.9159      12.582        12.627        12.677       12.733       12.793        12.857        13.165        13.256        13.354        13.459        13.568        13.678 
    a718=47.0093      12.594        12.639         12.69       12.745       12.805        12.869        13.176        13.268        13.365         13.47        13.579        13.689 
    a719=47.1028      12.607        12.651        12.702       12.757       12.817        12.881        13.188        13.279        13.376         13.48        13.589        13.699 
    a720=47.1963      12.619        12.664        12.714       12.769       12.829        12.893        13.199         13.29        13.387        13.491          13.6         13.71 
    a721=47.2897      12.631        12.676        12.726       12.782       12.841        12.905         13.21        13.301        13.398        13.502        13.611         13.72 
    a722=47.3832      12.644        12.688        12.739       12.794       12.853        12.917        13.222        13.312        13.409        13.513        13.621        13.731 
    a723=47.4766      12.656          12.7        12.751       12.806       12.865        12.929        13.233        13.323         13.42        13.524        13.632        13.741 
    a724=47.5701      12.668        12.713        12.763       12.818       12.877         12.94        13.244        13.334        13.431        13.534        13.642        13.751 
    a725=47.6636      12.681        12.725        12.775        12.83       12.889        12.952        13.255        13.346        13.442        13.545        13.653        13.762 
    a726=47.757       12.693        12.737        12.787       12.842       12.901        12.964        13.267        13.357        13.453        13.556        13.664        13.772 
    a727=47.8505      12.705        12.749        12.799       12.854       12.913        12.976        13.278        13.368        13.464        13.567        13.674        13.783 
    a728=47.9439      12.717        12.761        12.811       12.866       12.924        12.987        13.289        13.379        13.475        13.577        13.685        13.793 
    a729=48.0374       12.73        12.773        12.823       12.877       12.936        12.999          13.3         13.39        13.486        13.588        13.695        13.803 
    a730=48.1308      12.742        12.785        12.835       12.889       12.948        13.011        13.311        13.401        13.497        13.599        13.706        13.814 
    a731=48.2243      12.754        12.798        12.847       12.901        12.96        13.022        13.322        13.412        13.507        13.609        13.716        13.824 
    a732=48.3178      12.766         12.81        12.859       12.913       12.971        13.034        13.334        13.423        13.518         13.62        13.727        13.834 
    a733=48.4112      12.778        12.822        12.871       12.925       12.983        13.046        13.345        13.434        13.529        13.631        13.737        13.844 
    a734=48.5047       12.79        12.834        12.883       12.937       12.995        13.057        13.356        13.445         13.54        13.641        13.747        13.855 
    a735=48.5981      12.802        12.846        12.895       12.949       13.007        13.069        13.367        13.455        13.551        13.652        13.758        13.865 
    a736=48.6916      12.814        12.858        12.907        12.96       13.018         13.08        13.378        13.466        13.561        13.662        13.768        13.875 
    a737=48.785       12.826        12.869        12.918       12.972        13.03        13.092        13.389        13.477        13.572        13.673        13.779        13.885 
    a738=48.8785      12.838        12.881         12.93       12.984       13.042        13.103          13.4        13.488        13.583        13.683        13.789        13.895 
    a739=48.972        12.85        12.893        12.942       12.996       13.053        13.115        13.411        13.499        13.593        13.694        13.799        13.906 
    a740=49.0654      12.862        12.905        12.954       13.007       13.065        13.126        13.422         13.51        13.604        13.704         13.81        13.916 
    a741=49.1589      12.874        12.917        12.966       13.019       13.076        13.138        13.433        13.521        13.615        13.715         13.82        13.926 
    a742=49.2523      12.886        12.929        12.977       13.031       13.088        13.149        13.444        13.531        13.625        13.725         13.83        13.936 
    a743=49.3458      12.898        12.941        12.989       13.042       13.099        13.161        13.455        13.542        13.636        13.736         13.84        13.946 
    a744=49.4393       12.91        12.952        13.001       13.054       13.111        13.172        13.465        13.553        13.646        13.746        13.851        13.956 
    a745=49.5327      12.922        12.964        13.012       13.065       13.122        13.183        13.476        13.564        13.657        13.757        13.861        13.966 
    a746=49.6262      12.933        12.976        13.024       13.077       13.134        13.195        13.487        13.574        13.668        13.767        13.871        13.976 
    a747=49.7196      12.945        12.988        13.036       13.088       13.145        13.206        13.498        13.585        13.678        13.777        13.881        13.986 
    a748=49.8131      12.957        12.999        13.047         13.1       13.157        13.217        13.509        13.596        13.689        13.788        13.891        13.996 
    a749=49.9065      12.969        13.011        13.059       13.111       13.168        13.229         13.52        13.606        13.699        13.798        13.902        14.006 
    a750=50            12.98        13.023        13.071       13.123       13.179         13.24         13.53        13.617         13.71        13.808        13.912        14.016 

tb_pol_a: optimal asset choice for each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20                 0             0             0            0            0           -20       -19.533       -19.439       -19.252       -19.065       -18.785       -18.598 
    a2=-19.9065            0             0             0            0          -20       -19.907       -19.439       -19.346       -19.159       -18.972       -18.692       -18.505 
    a3=-19.8131            0             0             0          -20      -19.907       -19.813       -19.346       -19.252       -19.065       -18.879       -18.598       -18.411 
    a4=-19.7196            0             0           -20      -19.907      -19.813        -19.72       -19.252       -19.159       -18.972       -18.785       -18.598       -18.318 
    a5=-19.6262          -20           -20       -19.907      -19.813       -19.72       -19.626       -19.159       -19.065       -18.879       -18.692       -18.505       -18.224 
    a6=-19.5327      -19.907       -19.907       -19.813       -19.72      -19.626       -19.533       -19.065       -18.972       -18.785       -18.598       -18.411       -18.131 
    a7=-19.4393      -19.813       -19.813        -19.72      -19.626      -19.533       -19.439       -18.972       -18.879       -18.692       -18.505       -18.318       -18.037 
    a8=-19.3458       -19.72       -19.626       -19.626      -19.533      -19.439       -19.346       -18.972       -18.785       -18.598       -18.411       -18.224       -17.944 
    a9=-19.2523      -19.626       -19.533       -19.533      -19.439      -19.346       -19.252       -18.879       -18.692       -18.505       -18.318       -18.131        -17.85 
    a10=-19.1589     -19.533       -19.439       -19.439      -19.346      -19.252       -19.159       -18.785       -18.598       -18.411       -18.224       -18.037       -17.757 
    a11=-19.0654     -19.439       -19.346       -19.346      -19.252      -19.159       -19.065       -18.692       -18.505       -18.318       -18.131       -17.944       -17.664 
    a12=-18.972      -19.346       -19.252       -19.252      -19.159      -19.065       -18.972       -18.598       -18.411       -18.224       -18.037        -17.85        -17.57 
    a13=-18.8785     -19.252       -19.159       -19.159      -19.065      -18.972       -18.879       -18.505       -18.318       -18.131       -17.944       -17.757       -17.477 
    a14=-18.785      -19.159       -19.065       -19.065      -18.972      -18.879       -18.785       -18.411       -18.224       -18.131       -17.944       -17.664       -17.383 
    a15=-18.6916     -19.065       -18.972       -18.972      -18.879      -18.785       -18.692       -18.318       -18.131       -18.037        -17.85        -17.57        -17.29 
    a16=-18.5981     -18.972       -18.879       -18.879      -18.785      -18.692       -18.598       -18.224       -18.037       -17.944       -17.757       -17.477       -17.196 
    a17=-18.5047     -18.879       -18.785       -18.785      -18.692      -18.598       -18.505       -18.131       -17.944        -17.85       -17.664       -17.383       -17.103 
    a18=-18.4112     -18.785       -18.692       -18.692      -18.598      -18.505       -18.411       -18.037        -17.85       -17.757        -17.57        -17.29       -17.009 
    a19=-18.3178     -18.692       -18.598       -18.598      -18.505      -18.411       -18.318       -17.944        -17.85       -17.664       -17.477       -17.196       -16.916 
    a20=-18.2243     -18.598       -18.505       -18.505      -18.411      -18.318       -18.224        -17.85       -17.757        -17.57       -17.383       -17.103       -16.916 
    a21=-18.1308     -18.505       -18.411       -18.411      -18.318      -18.224       -18.131       -17.757       -17.664       -17.477        -17.29       -17.009       -16.822 
    a22=-18.0374     -18.411       -18.318       -18.318      -18.224      -18.131       -18.037       -17.664        -17.57       -17.383       -17.196       -17.009       -16.729 
    a23=-17.9439     -18.318       -18.224       -18.224      -18.131      -18.037       -17.944        -17.57       -17.477        -17.29       -17.103       -16.916       -16.636 
    a24=-17.8505     -18.224       -18.131       -18.131      -18.037      -17.944       -17.944       -17.477       -17.383       -17.196       -17.009       -16.822       -16.542 
    a25=-17.757      -18.131       -18.037       -18.037      -17.944       -17.85        -17.85       -17.383        -17.29       -17.103       -16.916       -16.729       -16.449 
    a26=-17.6636     -18.037       -17.944       -17.944       -17.85      -17.757       -17.757        -17.29       -17.196       -17.009       -16.822       -16.636       -16.355 
    a27=-17.5701     -17.944        -17.85        -17.85      -17.757      -17.664       -17.664        -17.29       -17.103       -16.916       -16.729       -16.542       -16.262 
    a28=-17.4766      -17.85       -17.757       -17.757      -17.664       -17.57        -17.57       -17.196       -17.009       -16.822       -16.636       -16.449       -16.168 
    a29=-17.3832     -17.757       -17.664       -17.664       -17.57      -17.477       -17.477       -17.103       -16.916       -16.729       -16.542       -16.355       -16.075 
    a30=-17.2897     -17.664        -17.57        -17.57      -17.477      -17.383       -17.383       -17.009       -16.822       -16.636       -16.449       -16.262       -15.981 
    a31=-17.1963      -17.57       -17.477       -17.477      -17.383      -17.383        -17.29       -16.916       -16.729       -16.542       -16.355       -16.168       -15.888 
    a32=-17.1028     -17.477       -17.383       -17.383       -17.29       -17.29       -17.196       -16.822       -16.636       -16.449       -16.262       -16.075       -15.794 
    a33=-17.0093     -17.383        -17.29        -17.29      -17.196      -17.196       -17.103       -16.729       -16.542       -16.449       -16.168       -15.981       -15.701 
    a34=-16.9159      -17.29       -17.196       -17.196      -17.103      -17.103       -17.009       -16.636       -16.449       -16.355       -16.168       -15.888       -15.607 
    a35=-16.8224     -17.196       -17.103       -17.103      -17.009      -17.009       -16.916       -16.542       -16.355       -16.262       -16.075       -15.794       -15.514 
    a36=-16.729      -17.103       -17.009       -17.009      -16.916      -16.916       -16.822       -16.449       -16.262       -16.168       -15.981       -15.701       -15.421 
    a37=-16.6355     -17.009       -16.916       -16.916      -16.822      -16.822       -16.729       -16.355       -16.262       -16.075       -15.888       -15.607       -15.327 
    a38=-16.5421     -16.916       -16.822       -16.822      -16.729      -16.729       -16.636       -16.262       -16.168       -15.981       -15.794       -15.514       -15.234 
    a39=-16.4486     -16.822       -16.729       -16.729      -16.636      -16.636       -16.542       -16.168       -16.075       -15.888       -15.701       -15.421        -15.14 
    a40=-16.3551     -16.729       -16.636       -16.636      -16.542      -16.542       -16.449       -16.075       -15.981       -15.794       -15.607       -15.327       -15.047 
    a41=-16.2617     -16.636       -16.542       -16.542      -16.542      -16.449       -16.355       -15.981       -15.888       -15.701       -15.514       -15.234       -14.953 
    a42=-16.1682     -16.542       -16.542       -16.449      -16.449      -16.355       -16.262       -15.888       -15.794       -15.607       -15.421        -15.14        -14.86 
    a43=-16.0748     -16.449       -16.449       -16.355      -16.355      -16.262       -16.168       -15.794       -15.701       -15.514       -15.327       -15.047       -14.766 
    a44=-15.9813     -16.355       -16.355       -16.262      -16.262      -16.168       -16.075       -15.701       -15.607       -15.421       -15.234       -14.953       -14.673 
    a45=-15.8879     -16.262       -16.262       -16.168      -16.168      -16.075       -15.981       -15.607       -15.514       -15.327        -15.14        -14.86       -14.579 
    a46=-15.7944     -16.168       -16.168       -16.075      -16.075      -15.981       -15.981       -15.514       -15.421       -15.234       -15.047       -14.766       -14.579 
    a47=-15.7009     -16.075       -16.075       -15.981      -15.981      -15.888       -15.888       -15.421       -15.327        -15.14       -14.953       -14.766       -14.486 
    a48=-15.6075     -15.981       -15.981       -15.888      -15.888      -15.794       -15.794       -15.421       -15.234       -15.047        -14.86       -14.673       -14.393 
    a49=-15.514      -15.888       -15.888       -15.794      -15.794      -15.701       -15.701       -15.327        -15.14       -14.953       -14.766       -14.579       -14.299 
    a50=-15.4206     -15.794       -15.794       -15.701      -15.701      -15.607       -15.607       -15.234       -15.047        -14.86       -14.673       -14.486       -14.206 
    a701=45.4206      43.084        43.084        43.178       43.178       43.271        43.364        43.738        43.925        44.112        44.299        44.579         44.86 
    a702=45.514       43.178        43.178        43.271       43.271       43.364        43.458        43.832        44.019        44.206        44.393        44.673        44.953 
    a703=45.6075      43.271        43.271        43.364       43.364       43.458        43.551        43.925        44.112        44.299        44.486        44.766        45.047 
    a704=45.7009      43.364        43.364        43.458       43.458       43.551        43.645        44.019        44.206        44.393        44.579         44.86         45.14 
    a705=45.7944      43.458        43.458        43.551       43.551       43.645        43.738        44.112        44.299        44.486        44.673        44.953        45.234 
    a706=45.8879      43.551        43.551        43.645       43.645       43.738        43.832        44.206        44.393        44.579        44.766        45.047        45.327 
    a707=45.9813      43.645        43.645        43.738       43.738       43.832        43.925        44.299        44.486        44.673         44.86         45.14        45.421 
    a708=46.0748      43.738        43.738        43.832       43.832       43.925        44.019        44.393        44.579        44.766        44.953         45.14        45.514 
    a709=46.1682      43.832        43.832        43.925       43.925       44.019        44.019        44.486        44.673         44.86        45.047        45.234        45.607 
    a710=46.2617      43.925        43.925        44.019       44.019       44.112        44.112        44.579        44.766        44.953         45.14        45.327        45.701 
    a711=46.3551      44.019        44.019        44.112       44.112       44.206        44.206        44.673         44.86        45.047        45.234        45.421        45.794 
    a712=46.4486      44.112        44.112        44.206       44.206       44.299        44.299        44.766        44.953        45.047        45.327        45.514        45.794 
    a713=46.5421      44.206        44.206        44.299       44.299       44.393        44.393         44.86        45.047         45.14        45.421        45.607        45.888 
    a714=46.6355      44.299        44.299        44.299       44.393       44.486        44.486        44.953        45.047        45.234        45.514        45.701        45.981 
    a715=46.729       44.393        44.393        44.393       44.486       44.579        44.579        45.047         45.14        45.327        45.607        45.794        46.075 
    a716=46.8224      44.486        44.486        44.486       44.579       44.673        44.673         45.14        45.234        45.421        45.701        45.888        46.168 
    a717=46.9159      44.579        44.579        44.579       44.673       44.766        44.766        45.234        45.327        45.514        45.794        45.981        46.262 
    a718=47.0093      44.673        44.673        44.673       44.766        44.86         44.86        45.327        45.421        45.607        45.888        46.075        46.355 
    a719=47.1028      44.766        44.766        44.766        44.86        44.86        44.953        45.421        45.514        45.701        45.981        46.168        46.449 
    a720=47.1963      44.766         44.86         44.86       44.953       44.953        45.047        45.514        45.607        45.794        46.075        46.262        46.542 
    a721=47.2897       44.86        44.953        44.953       45.047       45.047         45.14        45.607        45.701        45.888        46.075        46.355        46.636 
    a722=47.3832      44.953        45.047        45.047        45.14        45.14        45.234        45.701        45.794        45.981        46.168        46.449        46.729 
    a723=47.4766      45.047         45.14         45.14       45.234       45.234        45.327        45.794        45.888        46.075        46.262        46.542        46.822 
    a724=47.5701       45.14        45.234        45.234       45.327       45.327        45.421        45.888        45.981        46.168        46.355        46.636        46.916 
    a725=47.6636      45.234        45.327        45.327       45.421       45.421        45.514        45.981        46.075        46.262        46.449        46.729        47.009 
    a726=47.757       45.327        45.421        45.421       45.514       45.514        45.607        46.075        46.168        46.355        46.542        46.822        47.103 
    a727=47.8505      45.421        45.514        45.514       45.607       45.607        45.701        46.075        46.262        46.449        46.636        46.916        47.196 
    a728=47.9439      45.514        45.607        45.607       45.701       45.701        45.794        46.168        46.355        46.542        46.729        47.009         47.29 
    a729=48.0374      45.607        45.701        45.701       45.794       45.794        45.888        46.262        46.449        46.636        46.822        47.103        47.383 
    a730=48.1308      45.701        45.794        45.794       45.888       45.888        45.981        46.355        46.542        46.729        46.916        47.196        47.477 
    a731=48.2243      45.794        45.888        45.888       45.981       45.981        46.075        46.449        46.636        46.822        47.009         47.29         47.57 
    a732=48.3178      45.888        45.981        45.981       46.075       46.075        46.168        46.542        46.729        46.916        47.103        47.383        47.664 
    a733=48.4112      45.981        46.075        46.075       46.075       46.168        46.262        46.636        46.822        47.009        47.196        47.477        47.757 
    a734=48.5047      46.075        46.075        46.168       46.168       46.262        46.355        46.729        46.916        47.103         47.29         47.57         47.85 
    a735=48.5981      46.168        46.168        46.262       46.262       46.355        46.449        46.822        47.009        47.196        47.383        47.664        47.944 
    a736=48.6916      46.262        46.262        46.355       46.355       46.449        46.542        46.916        47.103         47.29        47.477        47.757        48.037 
    a737=48.785       46.355        46.355        46.449       46.449       46.542        46.636        47.009        47.196        47.383         47.57         47.85        48.131 
    a738=48.8785      46.449        46.449        46.542       46.542       46.636        46.729        47.103         47.29        47.477        47.664        47.944        48.224 
    a739=48.972       46.542        46.542        46.636       46.636       46.729        46.822        47.196        47.383         47.57        47.757        48.037        48.318 
    a740=49.0654      46.636        46.636        46.729       46.729       46.822        46.916         47.29        47.477        47.664         47.85        48.131        48.411 
    a741=49.1589      46.729        46.729        46.822       46.822       46.916        47.009        47.383         47.57        47.757        47.944        48.224        48.505 
    a742=49.2523      46.822        46.822        46.916       46.916       47.009        47.103        47.477        47.664         47.85        48.037        48.318        48.598 
    a743=49.3458      46.916        46.916        47.009       47.009       47.103        47.196         47.57        47.757        47.944        48.131        48.411        48.692 
    a744=49.4393      47.009        47.009        47.103       47.103       47.196         47.29        47.664         47.85        48.037        48.224        48.505        48.785 
    a745=49.5327      47.103        47.103        47.196       47.196        47.29        47.383        47.757        47.944        48.131        48.318        48.505        48.879 
    a746=49.6262      47.196        47.196         47.29        47.29       47.383        47.383         47.85        48.037        48.224        48.411        48.598        48.972 
    a747=49.7196       47.29         47.29        47.383       47.383       47.477        47.477        47.944        48.131        48.318        48.505        48.692        49.065 
    a748=49.8131      47.383        47.383        47.477       47.477        47.57         47.57        48.037        48.224        48.411        48.598        48.785        49.159 
    a749=49.9065      47.477        47.477         47.57        47.57       47.664        47.664        48.131        48.318        48.411        48.692        48.879        49.252 
    a750=50            47.57         47.57        47.664       47.664       47.757        47.757        48.224        48.411        48.505        48.785        48.972        49.252 

Simulate Save/Borrow, Can Default: cmin = 0.001, default takes place

Default is allowed, borrowing is allowed, minimum consumption = 0.01, higher than previous.

[param_map, support_map] = ffs_abz_set_default_param(it_param_set);

% allow for borrowing, when using a very large negative value for fl_b_bd
% that means the natural borrowing constraint will bind.
param_map('fl_b_bd') = -20;
param_map('bl_default') = 1;
param_map('fl_c_min') = 0.001;

% shared parameters
param_map('fl_a_min') = 0;
param_map('fl_a_max') = fl_a_max;
param_map('it_a_n') = it_a_n;
param_map('fl_r_save') = fl_r_save;
param_map('fl_r_borr') = fl_r_borr;
param_map('fl_w') = fl_w;

% solution
param_map('it_z_n') = it_z_n;
param_map('it_maxiter_val') = it_maxiter_val;

% Display Parameters
support_map('bl_display') = bl_display;
support_map('bl_post') = bl_post;
support_map('bl_display_final') = bl_display_final;


% Call Program
ff_abz_vf_vecsv(param_map, support_map);

% Snap
snapnow;

close all;
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_a_n): percentage of state space points conditional on shock where the policy function is changing across iterations
                  valgap       polgap        z1           z2          z3          z4          z5          z6          z7           z8          z9         z10         z11          z12         z13         z14         z15   
                __________    ________    _________    ________    ________    ________    ________    ________    _________    ________    ________    ________    ________    _________    ________    ________    ________

    iter=1          248.07        2013            1           1           1           1           1           1            1           1           1           1           1            1           1           1           1
    iter=2           176.1      2147.1      0.99467     0.99467     0.99467       0.996     0.99733     0.99733            1           1           1           1           1            1           1           1           1
    iter=3          134.64      717.15      0.99067     0.98933     0.99067       0.992     0.99333     0.99333      0.99733     0.99733           1           1           1            1           1           1           1
    iter=4          110.32      358.52      0.98667     0.98267     0.98533     0.99067       0.988     0.99067      0.99333     0.99467       0.996     0.99867           1            1           1           1           1
    iter=5          93.706      214.47         0.98     0.97867        0.98     0.98267     0.98267     0.98533        0.988     0.99067     0.99333     0.99733     0.99867            1           1           1           1
    iter=6          81.143      143.06      0.97733     0.97333       0.976     0.97467       0.976        0.98         0.98     0.98667     0.98667       0.992     0.99467        0.996     0.99867           1           1
    iter=7          71.213      102.06        0.964     0.96267     0.96933     0.96667     0.96667       0.972      0.97467       0.976     0.98267     0.98533     0.98933      0.99467       0.996           1           1
    iter=8          63.167      76.001      0.95333       0.952     0.95867       0.956        0.96     0.96133      0.96267       0.968     0.96933     0.97733     0.98133      0.98533     0.98933     0.99333       0.996
    iter=9          56.518      58.919        0.944        0.94     0.94933       0.944     0.94667     0.94533        0.952     0.95733     0.96133       0.968     0.97333      0.97867     0.98133       0.988     0.99333
    iter=10         50.954      47.018      0.92267       0.928     0.92667     0.92933     0.92933     0.93733         0.94       0.944     0.94933     0.95467     0.96133      0.96667     0.97467     0.98267       0.984
    iter=11         46.291      38.236          0.9     0.91067       0.908     0.90933     0.92133       0.924      0.93067     0.93333     0.93733     0.93867       0.948        0.952        0.96     0.96667     0.97333
    iter=12         42.327      31.615        0.892       0.888       0.896       0.896     0.89867       0.904      0.90933     0.91467        0.92     0.92667     0.93067         0.94     0.95067     0.95867     0.96133
    iter=13         38.914      27.481      0.87067       0.872     0.87067       0.876     0.88133     0.88667      0.89067     0.89467     0.89733     0.90933       0.916      0.92267     0.93333     0.93867     0.95067
    iter=14         35.941      22.643      0.84267     0.85467     0.84933     0.85733        0.86     0.86933        0.868     0.87333     0.88533     0.88667     0.89467      0.90533       0.916        0.92     0.93467
    iter=15         33.332      19.452        0.824     0.83733     0.82933     0.83733       0.844     0.84133      0.85067     0.85333        0.86     0.87067       0.876      0.88267     0.89067     0.90533       0.912
    iter=16         31.022      16.907      0.79733     0.80667     0.80667     0.80933     0.81467     0.81733      0.82533     0.83067     0.83733     0.84267     0.85333      0.86267     0.87333     0.88267     0.89333
    iter=17         28.973      14.814      0.77067       0.776       0.772       0.784     0.78667     0.80133          0.8     0.80267       0.812       0.824     0.82667      0.83733     0.84667     0.85867     0.86267
    iter=18         27.145      13.037      0.73867     0.74667       0.752     0.75067     0.76133       0.764        0.768       0.772       0.784     0.79067     0.79733        0.812     0.82533     0.82933     0.84667
    iter=19           25.5      11.548      0.71467     0.71467     0.72267     0.72667       0.728       0.728         0.74     0.75067       0.752        0.76       0.776      0.78133     0.78933         0.8     0.81067
    iter=20         24.012      10.261      0.67733     0.68267        0.68       0.696     0.69867       0.708        0.708     0.71067     0.72533     0.73333     0.73733      0.74533     0.75467     0.77067       0.788
    iter=21         22.658      9.1683      0.64533     0.64133     0.66133     0.65067     0.66533     0.66267        0.672     0.67467       0.684       0.696     0.70667        0.716     0.72933       0.736       0.748
    iter=22          21.42      8.2283      0.60267     0.60933     0.60667       0.624     0.61867       0.632         0.64       0.648     0.65467     0.65867       0.668         0.68     0.68933     0.70267       0.716
    iter=23          20.28      7.4233      0.56933     0.56533     0.58133       0.584     0.58933       0.588      0.59067     0.60533     0.60933        0.62     0.63067         0.64     0.65333     0.66667     0.67467
    iter=24         19.227      6.7076      0.52133     0.53333     0.52933     0.53467     0.54667     0.54933      0.55867     0.55867     0.56667     0.58533       0.588      0.60133     0.60667        0.62     0.63467
    iter=25         18.249      6.1059      0.48267     0.48133     0.48267     0.49867     0.49067     0.51067        0.508     0.51867     0.53333       0.536     0.54133      0.55333     0.56667     0.57867       0.596
    iter=26         17.337      5.5933      0.43067        0.44     0.44667       0.448       0.456     0.45333      0.46933     0.47067     0.47467     0.48933     0.50133      0.51333     0.52933       0.536     0.54667
    iter=27         16.485      5.1273        0.396     0.39733     0.40933     0.40267     0.41467     0.41867         0.42     0.42933     0.43867     0.45067       0.456        0.464     0.46667     0.48667         0.5
    iter=28         15.686      4.7088         0.36        0.36     0.36667       0.372        0.38     0.38267      0.38933     0.39733     0.40133       0.404       0.416        0.428       0.436     0.44133     0.45467
    iter=29         14.934      4.3272      0.33333       0.336       0.332       0.344     0.33733       0.344      0.35333        0.36     0.37067     0.36533        0.38      0.38667     0.39867     0.40667     0.41867
    iter=30         14.224      3.9989      0.30133       0.308     0.31467     0.31467     0.31733     0.32533      0.33067     0.33067       0.336     0.34667     0.35067        0.352     0.36533       0.376     0.38533
    iter=31         13.553      3.6377      0.28133       0.276     0.28667     0.28533     0.29467     0.29067      0.29333     0.29867         0.3       0.312     0.31333      0.32267     0.32667       0.344     0.35467
    iter=32         12.918      3.3981      0.25467     0.25867       0.256     0.26533     0.26533     0.26667      0.26933     0.28267     0.28133     0.28667         0.3      0.30667       0.312       0.312       0.316
    iter=33         12.315      3.1535         0.24     0.23467        0.24     0.23733     0.24933       0.252      0.25333     0.25067     0.26267       0.272       0.264      0.27733       0.284     0.28933         0.3
    iter=34         11.742      3.0204      0.21067     0.22533     0.21733     0.22667     0.21867       0.228        0.236       0.244     0.23867     0.23867     0.25733      0.24933     0.25867     0.26533       0.272
    iter=35         11.197      2.8239          0.2       0.196       0.204     0.20933       0.208       0.212      0.20933     0.21467     0.22133     0.22667       0.224        0.236       0.244       0.252     0.25733
    iter=36         10.678      2.7394      0.18533     0.18267       0.184     0.19067     0.19067     0.19333      0.20267     0.20133       0.212     0.20933     0.22133      0.22267     0.22267     0.22667       0.228
    iter=37         10.184      2.5389      0.17467     0.17067       0.176     0.17067     0.18533       0.176         0.18     0.18667     0.17733     0.19333       0.188      0.20133         0.2       0.216     0.22533
    iter=38         9.7131      2.4536      0.15467     0.15867     0.16267       0.164     0.16533     0.16933        0.168       0.172     0.17867     0.17467       0.184      0.18133       0.192     0.19067       0.196
    iter=39         9.2636      2.3388      0.14267       0.156     0.14667     0.15333       0.144       0.156      0.16133        0.16     0.16933     0.16933     0.16933      0.17733        0.18     0.18267       0.188
    iter=40         8.8344      2.1133      0.13867       0.124        0.14     0.13733     0.14133     0.14267      0.14267     0.14933     0.14133     0.14933     0.15467      0.15467     0.16267     0.17067       0.172
    iter=41         8.4247      2.0288        0.124     0.12667       0.136     0.12533     0.13733       0.132      0.13733       0.132        0.14     0.14533     0.14933      0.14667     0.15467       0.148     0.15067
    iter=42         8.0332      1.9262      0.11467     0.12533       0.112     0.12133     0.11867     0.12533      0.12533     0.12933     0.13733       0.128     0.13467         0.14     0.14267       0.148     0.15467
    iter=43         7.6591      1.7641      0.11067     0.10667     0.10667     0.11467     0.11467       0.112        0.116     0.11867     0.11467        0.12       0.124      0.12933     0.12933        0.14        0.14
    iter=44         7.3017      1.6376          0.1    0.098667     0.10267     0.10533       0.104     0.10533        0.104     0.11067       0.112     0.11733     0.11467      0.11733        0.12     0.12533     0.12533
    iter=45         6.9601      1.5491        0.092    0.094667    0.098667    0.093333    0.097333     0.10267      0.10133    0.098667     0.10267     0.10533     0.11067      0.11067       0.116       0.112        0.12
    iter=46         6.6336       1.493     0.081333    0.085333    0.090667    0.089333    0.089333    0.097333        0.096     0.10133       0.104    0.098667     0.10533        0.108       0.108     0.11067     0.11467
    iter=47         6.3215      1.3822     0.082667    0.085333    0.074667    0.081333        0.08    0.082667        0.092    0.089333       0.088    0.089333       0.092     0.097333       0.096         0.1     0.10533
    iter=48         6.0233      1.2881     0.073333    0.077333    0.078667    0.082667    0.078667    0.074667        0.076    0.078667        0.08       0.088    0.085333     0.089333    0.086667     0.10133       0.096
    iter=49         5.7382      1.2188     0.073333    0.069333       0.072    0.069333    0.074667       0.076     0.077333    0.078667    0.077333        0.08       0.084     0.078667       0.088    0.081333       0.088
    iter=50         5.4658      1.1563     0.069333    0.065333    0.066667    0.065333    0.070667    0.065333     0.065333    0.073333       0.072    0.074667    0.069333     0.078667        0.08    0.082667    0.081333
    iter=151      0.016508           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=152      0.015509    0.093458    0.0013333           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=153      0.014572           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=154      0.013691           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=155      0.012863           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=156      0.012086    0.093458            0           0           0           0           0           0            0           0           0           0           0    0.0013333           0           0           0
    iter=157      0.011356           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=158       0.01067           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=159      0.010026           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=160     0.0094204           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=161     0.0088519           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=162     0.0083178           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=163     0.0078161           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=164     0.0073448           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=165      0.006902           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=166      0.006486           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=167     0.0060952           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=168     0.0057281           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=169     0.0053831           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=170      0.005059           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=171     0.0047545           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=172     0.0044684           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=173     0.0041995           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=174     0.0039469    0.093458            0           0           0           0           0           0    0.0013333           0           0           0           0            0           0           0           0
    iter=175     0.0037095           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=176     0.0034865           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=177     0.0032769           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=178       0.00308           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=179     0.0028949           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=180     0.0027209           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=181     0.0025575           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=182     0.0024039           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=183     0.0022595           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=184     0.0021238           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=185     0.0019963           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=186     0.0018765           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=187     0.0017639           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=188      0.001658           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=189     0.0015585           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=190      0.001465           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=191     0.0013771           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=192     0.0012945           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=193     0.0012168           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=194     0.0011438           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=195     0.0010752           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=196     0.0010107           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=197    0.00095012           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=198    0.00089314           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=199    0.00083958           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0
    iter=200    0.00078923           0            0           0           0           0           0           0            0           0           0           0           0            0           0           0           0

tb_val: V(a,z) value at each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20           -61.869       -61.688       -61.484      -61.265      -61.034       -60.793        -32.96       -28.849       -25.197       -21.947       -19.026       -16.465 
    a2=-19.9065      -61.869       -61.688       -61.484      -61.265      -61.034       -54.858       -32.284       -28.331       -24.778       -21.609       -18.745       -16.228 
    a3=-19.8131      -61.869       -61.688       -61.484      -61.265       -58.12       -52.532       -31.641       -27.823       -24.372       -21.276       -18.469       -15.995 
    a4=-19.7196      -61.869       -61.688       -61.484      -59.818      -56.093       -50.818        -31.03       -27.333       -23.978       -20.951       -18.199       -15.766 
    a5=-19.6262      -61.869       -61.688       -60.352      -58.389      -54.392       -49.235       -30.447        -26.86       -23.595       -20.633       -17.934       -15.541 
    a6=-19.5327      -61.385       -60.296       -59.207      -57.044      -52.843       -47.813       -29.888       -26.404       -23.221       -20.322       -17.673       -15.319 
    a7=-19.4393      -60.051       -59.411       -58.526       -55.67      -51.378       -46.509       -29.352       -25.962       -22.857       -20.017       -17.417         -15.1 
    a8=-19.3458      -59.371       -58.893       -57.622      -54.289      -49.999        -45.31       -28.836       -25.533       -22.502       -19.719       -17.166       -14.885 
    a9=-19.2523      -58.942       -58.542        -56.44      -52.951      -48.715       -44.194       -28.336       -25.115       -22.155       -19.427       -16.919       -14.673 
    a10=-19.1589     -58.639       -57.914       -55.152      -51.714      -47.525       -43.143       -27.853        -24.71       -21.817        -19.14       -16.676       -14.463 
    a11=-19.0654     -58.411       -56.722       -54.004      -50.524      -46.391       -42.151       -27.384       -24.316       -21.486       -18.859       -16.436       -14.257 
    a12=-18.972      -57.735       -55.663         -52.9      -49.375      -45.309       -41.214       -26.926       -23.932       -21.162       -18.583       -16.201       -14.054 
    a13=-18.8785     -56.712       -54.698       -51.807      -48.257      -44.284       -40.323       -26.479       -23.558       -20.845       -18.313       -15.969       -13.854 
    a14=-18.785      -55.894       -53.743       -50.724      -47.182      -43.306       -39.475       -26.044       -23.193       -20.535       -18.046       -15.741       -13.657 
    a15=-18.6916     -55.125       -52.761       -49.649      -46.144      -42.373       -38.663       -25.622       -22.836        -20.23       -17.785       -15.517       -13.463 
    a16=-18.5981     -54.312       -51.739        -48.61       -45.15      -41.478       -37.885       -25.211       -22.488       -19.932       -17.527       -15.296       -13.271 
    a17=-18.5047     -53.419       -50.725       -47.597      -44.192       -40.62       -37.138       -24.811       -22.147       -19.639       -17.274       -15.078       -13.082 
    a18=-18.4112     -52.447        -49.71       -46.621       -43.27      -39.795        -36.42       -24.421       -21.813       -19.351       -17.026       -14.864       -12.896 
    a19=-18.3178     -51.471        -48.74       -45.671      -42.379      -39.001       -35.728       -24.041       -21.486       -19.068       -16.781       -14.652       -12.712 
    a20=-18.2243     -50.536       -47.787       -44.747      -41.519      -38.236       -35.061       -23.669       -21.165       -18.791       -16.541       -14.444       -12.531 
    a21=-18.1308     -49.605       -46.849       -43.848      -40.688      -37.499       -34.417       -23.305        -20.85       -18.518       -16.304       -14.239       -12.353 
    a22=-18.0374     -48.659       -45.925       -42.975      -39.886      -36.787       -33.794       -22.949       -20.541        -18.25       -16.071       -14.036       -12.177 
    a23=-17.9439      -47.71       -45.016        -42.13      -39.111        -36.1       -33.191       -22.599       -20.238       -17.986       -15.841       -13.836       -12.002 
    a24=-17.8505     -46.785       -44.134       -41.312      -38.361      -35.434       -32.608       -22.256        -19.94       -17.727       -15.616       -13.638       -11.829 
    a25=-17.757      -45.888       -43.278       -40.517      -37.635       -34.79       -32.041        -21.92       -19.648       -17.472       -15.393       -13.444       -11.659 
    a26=-17.6636     -45.008       -42.443       -39.745      -36.932      -34.166       -31.491       -21.591       -19.361       -17.222       -15.174       -13.252       -11.491 
    a27=-17.5701     -44.141       -41.627       -38.995       -36.25      -33.561       -30.955       -21.269       -19.079       -16.975       -14.959       -13.063       -11.325 
    a28=-17.4766      -43.29       -40.831       -38.268       -35.59      -32.972       -30.433       -20.952       -18.802       -16.733       -14.747       -12.877       -11.161 
    a29=-17.3832     -42.463       -40.059       -37.564      -34.949      -32.401       -29.924       -20.642        -18.53       -16.493       -14.538       -12.693       -10.999 
    a30=-17.2897     -41.662       -39.311       -36.879      -34.326      -31.844       -29.423       -20.337       -18.262       -16.257       -14.332       -12.512       -10.839 
    a31=-17.1963      -40.88       -38.582       -36.211      -33.721      -31.303       -28.935       -20.037       -17.999       -16.024       -14.129       -12.333       -10.681 
    a32=-17.1028     -40.116       -37.872       -35.557      -33.132      -30.776       -28.459       -19.743        -17.74       -15.795       -13.929       -12.157       -10.526 
    a33=-17.0093     -39.372       -37.181       -34.921       -32.56      -30.261       -27.994       -19.454       -17.485        -15.57       -13.733       -11.983       -10.372 
    a34=-16.9159      -38.65        -36.51       -34.303      -32.002      -29.759        -27.54        -19.17       -17.233       -15.349       -13.539       -11.811        -10.22 
    a35=-16.8224     -37.948       -35.859       -33.702      -31.459       -29.27       -27.096       -18.892       -16.986       -15.131       -13.348       -11.642       -10.069 
    a36=-16.729      -37.261       -35.224       -33.116      -30.929      -28.792       -26.663       -18.619       -16.743       -14.917       -13.159       -11.475       -9.9209 
    a37=-16.6355      -36.59       -34.604       -32.545      -30.412      -28.326       -26.239       -18.351       -16.504       -14.706       -12.972        -11.31       -9.7741 
    a38=-16.5421     -35.935       -34.001       -31.989      -29.909       -27.87       -25.825       -18.088        -16.27       -14.498       -12.787       -11.147        -9.629 
    a39=-16.4486     -35.297       -33.414       -31.447      -29.417      -27.425       -25.421       -17.829       -16.039       -14.293       -12.605       -10.986       -9.4855 
    a40=-16.3551     -34.676       -32.842       -30.919      -28.938      -26.988       -25.025       -17.575       -15.811       -14.091       -12.426       -10.828       -9.3436 
    a41=-16.2617     -34.073       -32.285       -30.404      -28.469      -26.559       -24.638       -17.325       -15.588       -13.893       -12.249       -10.671       -9.2032 
    a42=-16.1682     -33.484       -31.741       -29.901      -28.012       -26.14       -24.259        -17.08       -15.368       -13.697       -12.075       -10.516       -9.0644 
    a43=-16.0748     -32.909        -31.21        -29.41      -27.566      -25.731       -23.888       -16.838       -15.151       -13.503       -11.903       -10.362        -8.927 
    a44=-15.9813     -32.349       -30.693       -28.932      -27.129      -25.329       -23.525       -16.601       -14.937       -13.313       -11.733       -10.211       -8.7912 
    a45=-15.8879     -31.802       -30.188       -28.464      -26.701      -24.937       -23.169       -16.367       -14.727       -13.125       -11.565       -10.061       -8.6567 
    a46=-15.7944      -31.27       -29.695       -28.007      -26.284      -24.553       -22.821       -16.136        -14.52        -12.94       -11.399       -9.9135       -8.5236 
    a47=-15.7009     -30.751       -29.214        -27.56      -25.875      -24.177        -22.48       -15.908       -14.316       -12.758       -11.236       -9.7673       -8.3918 
    a48=-15.6075     -30.244       -28.744       -27.124      -25.476      -23.809       -22.145       -15.683       -14.115       -12.578       -11.075       -9.6226       -8.2614 
    a49=-15.514      -29.749       -28.285       -26.698      -25.084      -23.449       -21.817       -15.463       -13.917       -12.401       -10.915       -9.4795       -8.1322 
    a50=-15.4206     -29.266       -27.836        -26.28      -24.702      -23.096       -21.496       -15.245       -13.722       -12.226       -10.757       -9.3379       -8.0043 
    a701=45.4206      12.388        12.434        12.486       12.543       12.605        12.671        12.987        13.081        13.181        13.289        13.401        13.514 
    a702=45.514       12.401        12.447        12.499       12.556       12.617        12.683        12.999        13.092        13.193          13.3        13.412        13.525 
    a703=45.6075      12.413        12.459        12.511       12.568        12.63        12.695         13.01        13.104        13.204        13.311        13.423        13.535 
    a704=45.7009      12.426        12.472        12.524       12.581       12.642        12.708        13.022        13.115        13.215        13.322        13.433        13.546 
    a705=45.7944      12.439        12.485        12.536       12.593       12.654         12.72        13.034        13.127        13.227        13.333        13.444        13.557 
    a706=45.8879      12.452        12.497        12.549       12.606       12.667        12.732        13.045        13.138        13.238        13.344        13.455        13.567 
    a707=45.9813      12.464         12.51        12.561       12.618       12.679        12.744        13.057         13.15        13.249        13.355        13.466        13.578 
    a708=46.0748      12.477        12.522        12.574        12.63       12.691        12.756        13.068        13.161         13.26        13.366        13.477        13.589 
    a709=46.1682      12.489        12.535        12.586       12.643       12.703        12.768         13.08        13.172        13.272        13.377        13.488        13.599 
    a710=46.2617      12.502        12.547        12.599       12.655       12.716        12.781        13.091        13.184        13.283        13.388        13.499         13.61 
    a711=46.3551      12.515         12.56        12.611       12.667       12.728        12.793        13.103        13.195        13.294        13.399         13.51        13.621 
    a712=46.4486      12.527        12.572        12.623        12.68        12.74        12.805        13.114        13.207        13.305         13.41         13.52        13.631 
    a713=46.5421       12.54        12.585        12.636       12.692       12.752        12.817        13.126        13.218        13.316        13.421        13.531        13.642 
    a714=46.6355      12.552        12.597        12.648       12.704       12.764        12.829        13.137        13.229        13.328        13.432        13.542        13.652 
    a715=46.729       12.565         12.61        12.661       12.716       12.776        12.841        13.149         13.24        13.339        13.443        13.553        13.663 
    a716=46.8224      12.577        12.622        12.673       12.728       12.788        12.853         13.16        13.252         13.35        13.454        13.563        13.674 
    a717=46.9159       12.59        12.634        12.685       12.741         12.8        12.865        13.172        13.263        13.361        13.465        13.574        13.684 
    a718=47.0093      12.602        12.647        12.697       12.753       12.812        12.877        13.183        13.274        13.372        13.476        13.585        13.695 
    a719=47.1028      12.614        12.659         12.71       12.765       12.824        12.888        13.194        13.285        13.383        13.487        13.595        13.705 
    a720=47.1963      12.627        12.671        12.722       12.777       12.836          12.9        13.206        13.296        13.394        13.497        13.606        13.716 
    a721=47.2897      12.639        12.684        12.734       12.789       12.848        12.912        13.217        13.308        13.405        13.508        13.617        13.726 
    a722=47.3832      12.652        12.696        12.746       12.801        12.86        12.924        13.228        13.319        13.416        13.519        13.627        13.736 
    a723=47.4766      12.664        12.708        12.758       12.813       12.872        12.936        13.239         13.33        13.427         13.53        13.638        13.747 
    a724=47.5701      12.676         12.72         12.77       12.825       12.884        12.948        13.251        13.341        13.438        13.541        13.648        13.757 
    a725=47.6636      12.688        12.732        12.782       12.837       12.896        12.959        13.262        13.352        13.449        13.551        13.659        13.768 
    a726=47.757       12.701        12.745        12.794       12.849       12.908        12.971        13.273        13.363        13.459        13.562        13.669        13.778 
    a727=47.8505      12.713        12.757        12.806       12.861        12.92        12.983        13.284        13.374         13.47        13.573         13.68        13.788 
    a728=47.9439      12.725        12.769        12.819       12.873       12.932        12.994        13.296        13.385        13.481        13.583        13.691        13.799 
    a729=48.0374      12.737        12.781        12.831       12.885       12.943        13.006        13.307        13.396        13.492        13.594        13.701        13.809 
    a730=48.1308      12.749        12.793        12.842       12.897       12.955        13.018        13.318        13.407        13.503        13.605        13.711        13.819 
    a731=48.2243      12.761        12.805        12.854       12.908       12.967        13.029        13.329        13.418        13.514        13.615        13.722         13.83 
    a732=48.3178      12.774        12.817        12.866        12.92       12.979        13.041         13.34        13.429        13.524        13.626        13.732         13.84 
    a733=48.4112      12.786        12.829        12.878       12.932        12.99        13.053        13.351         13.44        13.535        13.637        13.743         13.85 
    a734=48.5047      12.798        12.841         12.89       12.944       13.002        13.064        13.362        13.451        13.546        13.647        13.753         13.86 
    a735=48.5981       12.81        12.853        12.902       12.956       13.014        13.076        13.373        13.462        13.557        13.658        13.764         13.87 
    a736=48.6916      12.822        12.865        12.914       12.967       13.025        13.087        13.384        13.473        13.567        13.668        13.774        13.881 
    a737=48.785       12.834        12.877        12.926       12.979       13.037        13.099        13.395        13.483        13.578        13.679        13.784        13.891 
    a738=48.8785      12.846        12.889        12.937       12.991       13.049         13.11        13.406        13.494        13.589        13.689        13.795        13.901 
    a739=48.972       12.858        12.901        12.949       13.003        13.06        13.122        13.417        13.505        13.599          13.7        13.805        13.911 
    a740=49.0654       12.87        12.912        12.961       13.014       13.072        13.133        13.428        13.516         13.61         13.71        13.815        13.921 
    a741=49.1589      12.881        12.924        12.973       13.026       13.083        13.145        13.439        13.527        13.621        13.721        13.825        13.931 
    a742=49.2523      12.893        12.936        12.984       13.038       13.095        13.156         13.45        13.537        13.631        13.731        13.836        13.941 
    a743=49.3458      12.905        12.948        12.996       13.049       13.106        13.167        13.461        13.548        13.642        13.742        13.846        13.951 
    a744=49.4393      12.917         12.96        13.008       13.061       13.118        13.179        13.472        13.559        13.652        13.752        13.856        13.962 
    a745=49.5327      12.929        12.971        13.019       13.072       13.129         13.19        13.483         13.57        13.663        13.762        13.866        13.972 
    a746=49.6262      12.941        12.983        13.031       13.084       13.141        13.202        13.493         13.58        13.673        13.773        13.877        13.982 
    a747=49.7196      12.952        12.995        13.043       13.095       13.152        13.213        13.504        13.591        13.684        13.783        13.887        13.992 
    a748=49.8131      12.964        13.006        13.054       13.107       13.163        13.224        13.515        13.602        13.694        13.793        13.897        14.002 
    a749=49.9065      12.976        13.018        13.066       13.118       13.175        13.235        13.526        13.612        13.705        13.804        13.907        14.012 
    a750=50           12.988         13.03        13.077        13.13       13.186        13.247        13.537        13.623        13.715        13.814        13.917        14.022 

tb_pol_a: optimal asset choice for each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20                 0             0             0            0            0             0        -19.72       -19.533       -19.439       -19.159       -18.972       -18.692 
    a2=-19.9065            0             0             0            0            0           -20       -19.626       -19.439       -19.346       -19.159       -18.879       -18.598 
    a3=-19.8131            0             0             0            0          -20       -19.907       -19.533       -19.439       -19.252       -19.065       -18.785       -18.505 
    a4=-19.7196            0             0             0          -20      -19.907       -19.813       -19.439       -19.346       -19.159       -18.972       -18.692       -18.411 
    a5=-19.6262            0             0           -20          -20      -19.813       -19.813       -19.346       -19.252       -19.065       -18.879       -18.598       -18.318 
    a6=-19.5327          -20           -20           -20      -19.813      -19.813        -19.72       -19.252       -19.159       -18.972       -18.785       -18.505       -18.224 
    a7=-19.4393          -20           -20       -19.907       -19.72       -19.72       -19.626       -19.159       -19.065       -18.879       -18.692       -18.411       -18.131 
    a8=-19.3458          -20           -20       -19.813      -19.626      -19.626       -19.533       -19.065       -18.972       -18.785       -18.598       -18.318       -18.037 
    a9=-19.2523          -20           -20       -19.626      -19.533      -19.533       -19.439       -18.972       -18.879       -18.692       -18.505       -18.224       -17.944 
    a10=-19.1589         -20       -19.626       -19.533      -19.533      -19.439       -19.346       -18.879       -18.785       -18.598       -18.411       -18.131        -17.85 
    a11=-19.0654         -20       -19.533       -19.439      -19.439      -19.346       -19.252       -18.785       -18.692       -18.505       -18.318       -18.037       -17.757 
    a12=-18.972      -19.533       -19.439       -19.346      -19.346      -19.252       -19.159       -18.785       -18.598       -18.411       -18.224       -17.944       -17.664 
    a13=-18.8785     -19.439       -19.346       -19.252      -19.252      -19.159       -19.065       -18.692       -18.505       -18.318       -18.131        -17.85        -17.57 
    a14=-18.785      -19.346       -19.252       -19.159      -19.159      -19.065       -18.972       -18.598       -18.411       -18.224       -18.037       -17.757       -17.477 
    a15=-18.6916     -19.252       -19.159       -19.065      -19.065      -18.972       -18.879       -18.505       -18.318       -18.131       -17.944       -17.664       -17.383 
    a16=-18.5981     -19.159       -19.065       -18.972      -18.972      -18.879       -18.785       -18.411       -18.224       -18.037        -17.85        -17.57        -17.29 
    a17=-18.5047     -19.065       -18.972       -18.879      -18.879      -18.785       -18.692       -18.318       -18.131       -17.944       -17.757       -17.477       -17.196 
    a18=-18.4112     -18.879       -18.879       -18.785      -18.785      -18.692       -18.598       -18.224       -18.037        -17.85       -17.664       -17.383       -17.103 
    a19=-18.3178     -18.879       -18.785       -18.692      -18.692      -18.598       -18.505       -18.131       -17.944       -17.757        -17.57        -17.29       -17.009 
    a20=-18.2243     -18.785       -18.692       -18.598      -18.598      -18.505       -18.411       -18.037        -17.85       -17.664       -17.477       -17.196       -16.916 
    a21=-18.1308     -18.598       -18.598       -18.505      -18.505      -18.411       -18.318       -17.944       -17.757        -17.57       -17.383       -17.196       -16.822 
    a22=-18.0374     -18.505       -18.505       -18.411      -18.411      -18.318       -18.224        -17.85       -17.664       -17.477        -17.29       -17.103       -16.729 
    a23=-17.9439     -18.411       -18.411       -18.318      -18.318      -18.224       -18.131       -17.757        -17.57       -17.383       -17.196       -17.009       -16.729 
    a24=-17.8505     -18.318       -18.318       -18.224      -18.224      -18.131       -18.037       -17.664       -17.477        -17.29       -17.103       -16.916       -16.636 
    a25=-17.757      -18.224       -18.224       -18.131      -18.131      -18.037       -17.944        -17.57       -17.383       -17.196       -17.009       -16.822       -16.542 
    a26=-17.6636     -18.131       -18.131       -18.037      -18.037      -17.944        -17.85       -17.477        -17.29       -17.103       -16.916       -16.729       -16.449 
    a27=-17.5701     -18.037       -18.037       -17.944      -17.944       -17.85       -17.757       -17.383       -17.196       -17.009       -16.822       -16.636       -16.355 
    a28=-17.4766     -17.944       -17.944        -17.85       -17.85      -17.757       -17.664        -17.29       -17.103       -16.916       -16.729       -16.542       -16.262 
    a29=-17.3832      -17.85        -17.85       -17.757      -17.757      -17.664       -17.664       -17.196       -17.009       -16.916       -16.636       -16.449       -16.168 
    a30=-17.2897     -17.757       -17.757       -17.664      -17.664       -17.57        -17.57       -17.103       -16.916       -16.822       -16.542       -16.355       -16.075 
    a31=-17.1963     -17.664       -17.664       -17.664       -17.57      -17.477       -17.477       -17.009       -16.822       -16.729       -16.449       -16.262       -15.981 
    a32=-17.1028      -17.57        -17.57        -17.57      -17.477      -17.383       -17.383       -16.916       -16.729       -16.636       -16.355       -16.168       -15.888 
    a33=-17.0093     -17.477       -17.477       -17.477      -17.383       -17.29        -17.29       -16.822       -16.729       -16.542       -16.262       -16.075       -15.794 
    a34=-16.9159     -17.383       -17.383       -17.383       -17.29      -17.196       -17.196       -16.729       -16.636       -16.449       -16.168       -15.981       -15.701 
    a35=-16.8224      -17.29        -17.29        -17.29      -17.196      -17.103       -17.103       -16.636       -16.542       -16.355       -16.075       -15.888       -15.607 
    a36=-16.729       -17.29       -17.196       -17.196      -17.103      -17.009       -17.009       -16.542       -16.449       -16.262       -16.075       -15.794       -15.514 
    a37=-16.6355     -17.196       -17.103       -17.103      -17.009      -16.916       -16.916       -16.449       -16.355       -16.168       -15.981       -15.701       -15.421 
    a38=-16.5421     -17.103       -17.009       -17.009      -16.916      -16.822       -16.822       -16.355       -16.262       -16.075       -15.888       -15.607       -15.327 
    a39=-16.4486     -17.009       -16.916       -16.916      -16.822      -16.729       -16.729       -16.262       -16.168       -15.981       -15.794       -15.514       -15.234 
    a40=-16.3551     -16.916       -16.822       -16.822      -16.729      -16.729       -16.636       -16.168       -16.075       -15.888       -15.701       -15.421        -15.14 
    a41=-16.2617     -16.822       -16.729       -16.729      -16.636      -16.636       -16.542       -16.075       -15.981       -15.794       -15.607       -15.327       -15.047 
    a42=-16.1682     -16.729       -16.636       -16.636      -16.542      -16.542       -16.449       -15.981       -15.888       -15.701       -15.514       -15.234       -14.953 
    a43=-16.0748     -16.636       -16.542       -16.542      -16.449      -16.449       -16.355       -15.888       -15.794       -15.607       -15.421        -15.14        -14.86 
    a44=-15.9813     -16.542       -16.449       -16.449      -16.355      -16.355       -16.262       -15.794       -15.701       -15.514       -15.327       -15.047       -14.766 
    a45=-15.8879     -16.449       -16.355       -16.355      -16.262      -16.262       -16.168       -15.701       -15.607       -15.421       -15.234       -14.953       -14.673 
    a46=-15.7944     -16.355       -16.262       -16.262      -16.168      -16.168       -16.075       -15.701       -15.514       -15.327        -15.14        -14.86       -14.579 
    a47=-15.7009     -16.262       -16.168       -16.168      -16.075      -16.075       -15.981       -15.607       -15.421       -15.234       -15.047       -14.766       -14.486 
    a48=-15.6075     -16.168       -16.075       -16.075      -15.981      -15.981       -15.888       -15.514       -15.327        -15.14       -14.953       -14.673       -14.393 
    a49=-15.514      -16.075       -15.981       -15.981      -15.888      -15.888       -15.794       -15.421       -15.234       -15.047        -14.86       -14.579       -14.299 
    a50=-15.4206     -15.981       -15.888       -15.888      -15.794      -15.794       -15.701       -15.327        -15.14       -14.953       -14.766       -14.486       -14.206 
    a701=45.4206      43.084        43.084        43.178       43.178       43.271        43.364        43.738        43.925        44.112        44.299        44.579         44.86 
    a702=45.514       43.178        43.178        43.271       43.271       43.364        43.458        43.832        44.019        44.206        44.393        44.673        44.953 
    a703=45.6075      43.271        43.271        43.364       43.364       43.458        43.551        43.925        44.112        44.299        44.486        44.766        45.047 
    a704=45.7009      43.364        43.364        43.458       43.458       43.551        43.645        44.019        44.206        44.393        44.579         44.86         45.14 
    a705=45.7944      43.458        43.458        43.551       43.551       43.645        43.738        44.112        44.299        44.486        44.673        44.953        45.234 
    a706=45.8879      43.551        43.551        43.645       43.645       43.738        43.832        44.206        44.393        44.579        44.766        44.953        45.327 
    a707=45.9813      43.645        43.645        43.738       43.738       43.832        43.832        44.299        44.486        44.673         44.86        45.047        45.421 
    a708=46.0748      43.738        43.738        43.832       43.832       43.925        43.925        44.393        44.579        44.766        44.953         45.14        45.514 
    a709=46.1682      43.832        43.832        43.925       43.925       44.019        44.019        44.486        44.673         44.86        45.047        45.234        45.607 
    a710=46.2617      43.925        43.925        44.019       44.019       44.112        44.112        44.579        44.766         44.86         45.14        45.327        45.607 
    a711=46.3551      44.019        44.019        44.112       44.112       44.206        44.206        44.673         44.86        44.953        45.234        45.421        45.701 
    a712=46.4486      44.112        44.112        44.112       44.206       44.299        44.299        44.766         44.86        45.047        45.327        45.514        45.794 
    a713=46.5421      44.206        44.206        44.206       44.299       44.393        44.393         44.86        44.953         45.14        45.421        45.607        45.888 
    a714=46.6355      44.299        44.299        44.299       44.393       44.486        44.486        44.953        45.047        45.234        45.514        45.701        45.981 
    a715=46.729       44.393        44.393        44.393       44.486       44.579        44.579        45.047         45.14        45.327        45.607        45.794        46.075 
    a716=46.8224      44.486        44.486        44.486       44.579       44.673        44.673         45.14        45.234        45.421        45.701        45.888        46.168 
    a717=46.9159      44.579        44.579        44.579       44.673       44.673        44.766        45.234        45.327        45.514        45.794        45.981        46.262 
    a718=47.0093      44.579        44.673        44.673       44.766       44.766         44.86        45.327        45.421        45.607        45.888        46.075        46.355 
    a719=47.1028      44.673        44.766        44.766        44.86        44.86        44.953        45.421        45.514        45.701        45.888        46.168        46.449 
    a720=47.1963      44.766         44.86         44.86       44.953       44.953        45.047        45.514        45.607        45.794        45.981        46.262        46.542 
    a721=47.2897       44.86        44.953        44.953       45.047       45.047         45.14        45.607        45.701        45.888        46.075        46.355        46.636 
    a722=47.3832      44.953        45.047        45.047        45.14        45.14        45.234        45.701        45.794        45.981        46.168        46.449        46.729 
    a723=47.4766      45.047         45.14         45.14       45.234       45.234        45.327        45.794        45.888        46.075        46.262        46.542        46.822 
    a724=47.5701       45.14        45.234        45.234       45.327       45.327        45.421        45.888        45.981        46.168        46.355        46.636        46.916 
    a725=47.6636      45.234        45.327        45.327       45.421       45.421        45.514        45.888        46.075        46.262        46.449        46.729        47.009 
    a726=47.757       45.327        45.421        45.421       45.514       45.514        45.607        45.981        46.168        46.355        46.542        46.822        47.103 
    a727=47.8505      45.421        45.514        45.514       45.607       45.607        45.701        46.075        46.262        46.449        46.636        46.916        47.196 
    a728=47.9439      45.514        45.607        45.607       45.701       45.701        45.794        46.168        46.355        46.542        46.729        47.009         47.29 
    a729=48.0374      45.607        45.701        45.701       45.794       45.794        45.888        46.262        46.449        46.636        46.822        47.103        47.383 
    a730=48.1308      45.701        45.794        45.794       45.888       45.888        45.981        46.355        46.542        46.729        46.916        47.196        47.477 
    a731=48.2243      45.794        45.888        45.888       45.888       45.981        46.075        46.449        46.636        46.822        47.009         47.29         47.57 
    a732=48.3178      45.888        45.888        45.981       45.981       46.075        46.168        46.542        46.729        46.916        47.103        47.383        47.664 
    a733=48.4112      45.981        45.981        46.075       46.075       46.168        46.262        46.636        46.822        47.009        47.196        47.477        47.757 
    a734=48.5047      46.075        46.075        46.168       46.168       46.262        46.355        46.729        46.916        47.103         47.29         47.57         47.85 
    a735=48.5981      46.168        46.168        46.262       46.262       46.355        46.449        46.822        47.009        47.196        47.383        47.664        47.944 
    a736=48.6916      46.262        46.262        46.355       46.355       46.449        46.542        46.916        47.103         47.29        47.477        47.757        48.037 
    a737=48.785       46.355        46.355        46.449       46.449       46.542        46.636        47.009        47.196        47.383         47.57         47.85        48.131 
    a738=48.8785      46.449        46.449        46.542       46.542       46.636        46.729        47.103         47.29        47.477        47.664        47.944        48.224 
    a739=48.972       46.542        46.542        46.636       46.636       46.729        46.822        47.196        47.383         47.57        47.757        48.037        48.318 
    a740=49.0654      46.636        46.636        46.729       46.729       46.822        46.916         47.29        47.477        47.664         47.85        48.131        48.411 
    a741=49.1589      46.729        46.729        46.822       46.822       46.916        47.009        47.383         47.57        47.757        47.944        48.224        48.505 
    a742=49.2523      46.822        46.822        46.916       46.916       47.009        47.103        47.477        47.664         47.85        48.037        48.318        48.598 
    a743=49.3458      46.916        46.916        47.009       47.009       47.103        47.196         47.57        47.757        47.944        48.131        48.411        48.692 
    a744=49.4393      47.009        47.009        47.103       47.103       47.196        47.196        47.664         47.85        48.037        48.224        48.411        48.785 
    a745=49.5327      47.103        47.103        47.196       47.196        47.29         47.29        47.757        47.944        48.131        48.318        48.505        48.879 
    a746=49.6262      47.196        47.196         47.29        47.29       47.383        47.383         47.85        48.037        48.224        48.411        48.598        48.972 
    a747=49.7196       47.29         47.29        47.383       47.383       47.477        47.477        47.944        48.131        48.224        48.505        48.692        49.065 
    a748=49.8131      47.383        47.383        47.477       47.477        47.57         47.57        48.037        48.224        48.318        48.598        48.785        49.065 
    a749=49.9065      47.477        47.477        47.477        47.57       47.664        47.664        48.131        48.318        48.411        48.692        48.879        49.159 
    a750=50            47.57         47.57         47.57       47.664       47.757        47.757        48.224        48.318        48.505        48.785        48.972        49.252 

Simulate Save/Borrow, Can Default: cmin = 1, degenerate, borrow to max

Default is allowed, borrowing is allowed, minimum consumption = 1, very high. Always defaulting, distribution degenerate.

[param_map, support_map] = ffs_abz_set_default_param(it_param_set);

% allow for borrowing, when using a very large negative value for fl_b_bd
% that means the natural borrowing constraint will bind.
param_map('fl_b_bd') = -20;
param_map('bl_default') = 1;
param_map('fl_c_min') = 1;

% shared parameters
param_map('fl_a_min') = 0;
param_map('fl_a_max') = fl_a_max;
param_map('it_a_n') = it_a_n;
param_map('fl_r_save') = fl_r_save;
param_map('fl_r_borr') = fl_r_borr;
param_map('fl_w') = fl_w;

% solution
param_map('it_z_n') = it_z_n;
param_map('it_maxiter_val') = it_maxiter_val;

% Display Parameters
support_map('bl_display') = bl_display;
support_map('bl_post') = bl_post;
support_map('bl_display_final') = bl_display_final;


% Call Program
ff_abz_vf_vecsv(param_map, support_map);

% Snap
snapnow;

close all;
clear all;
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_a_n): percentage of state space points conditional on shock where the policy function is changing across iterations
                  valgap       polgap       z1         z2         z3         z4         z5         z6         z7         z8          z9          z10        z11        z12        z13        z14        z15  
                __________    ________    _______    _______    _______    _______    _______    _______    _______    _______    _________    _______    _______    _______    _______    _______    _______

    iter=1          168.91      2000.8          1          1          1          1          1          1          1          1            1          1          1          1          1          1          1
    iter=2          132.51      2187.4    0.98133    0.98133    0.98267    0.98267      0.984    0.98533    0.98667    0.98933      0.99067    0.99333      0.996    0.99867          1          1          1
    iter=3          112.54      728.22    0.92133    0.92267      0.924    0.92533      0.928    0.93067    0.93333      0.936      0.93867    0.94267      0.948    0.95333    0.95867    0.96533      0.972
    iter=4          99.007      506.97    0.85733       0.86    0.86267    0.86533      0.868      0.872      0.876    0.88133      0.88667      0.892        0.9    0.90533      0.916    0.92533      0.936
    iter=5          86.901      317.25      0.836      0.836    0.83867    0.83867       0.84       0.84    0.84267      0.844      0.84533      0.848      0.852    0.85733    0.86133    0.86667      0.872
    iter=6          77.259      207.69       0.76       0.76       0.76       0.76    0.76133    0.76267    0.76267    0.76133      0.76533      0.768      0.772    0.77867    0.78667    0.79333    0.80267
    iter=7          70.196      164.12    0.69467    0.69067    0.69067    0.69067      0.692    0.69333    0.69467      0.696        0.696    0.69867    0.71067       0.72    0.73467    0.74267    0.75067
    iter=8          64.984      112.89    0.62533      0.624      0.624    0.62667      0.632      0.632    0.63867    0.64667        0.648      0.664    0.67867    0.70933    0.72533      0.728      0.732
    iter=9          60.205      156.02      0.568    0.57067      0.576    0.57867    0.58667    0.59867      0.608    0.61467        0.628    0.66667    0.69333       0.72      0.748    0.73467    0.73333
    iter=10         55.755      123.02      0.536    0.54933      0.556    0.55867    0.57467      0.588    0.60667      0.636      0.64933       0.68    0.69867    0.71333      0.728      0.736    0.73333
    iter=11         52.435      121.09    0.51733    0.52533    0.53067      0.548      0.564    0.58133    0.59733      0.624      0.63733    0.65867      0.656      0.684      0.704        0.7    0.69733
    iter=12         49.921      96.381    0.49333    0.50267    0.51467      0.524    0.54667    0.56267    0.56933      0.588          0.6      0.628    0.63467      0.656      0.676    0.68533      0.692
    iter=13         46.957      131.72    0.50667      0.512      0.516    0.51867       0.52      0.532       0.56    0.57467      0.58933    0.60533      0.624    0.64933    0.67867    0.67867      0.684
    iter=14         43.533       100.3    0.48667    0.49333    0.49333    0.50667    0.52133      0.536    0.55333    0.56933      0.59333    0.62533    0.64533      0.676    0.68667      0.704    0.69867
    iter=15         40.942      103.31    0.46133      0.464      0.472       0.48    0.49467    0.51333    0.53733    0.56133        0.584    0.61333    0.61733    0.64933      0.668    0.68267    0.68667
    iter=16         39.023      80.904    0.40667    0.43067    0.44267    0.44933    0.47333    0.49467       0.52    0.54533         0.56    0.58667    0.60933    0.63467      0.644       0.68      0.664
    iter=17         36.694       108.2       0.44    0.45333    0.45333    0.45733    0.47333    0.48667        0.5      0.512      0.54133      0.564    0.59067    0.62267      0.644      0.656    0.66533
    iter=18         33.994      81.847    0.44267    0.44933    0.46667    0.46667      0.476        0.5      0.516    0.53733        0.548    0.59733      0.596       0.62    0.64267      0.652    0.68133
    iter=19         31.971      88.975    0.40533    0.41867    0.43067      0.448      0.456    0.48133    0.48267    0.51467      0.52267      0.552    0.56933    0.60267    0.62933      0.652    0.65467
    iter=20         30.503      65.662    0.37067    0.39467    0.39333    0.39467      0.416    0.43333       0.46    0.48267      0.49333    0.54533    0.55333    0.59867    0.62933    0.62933    0.63067
    iter=21         28.666       88.16    0.36933    0.38267    0.39467    0.40133    0.41067      0.424    0.44267      0.464      0.48133    0.51733      0.544      0.588    0.61867    0.62133    0.63067
    iter=22         26.544      68.177    0.38933    0.39733    0.41867      0.424      0.444    0.46533    0.48133      0.516      0.51067    0.55733      0.584    0.60267       0.62    0.62267    0.63733
    iter=23         24.967       70.17      0.356    0.36267      0.384      0.392    0.41867    0.43333      0.472       0.48      0.49867    0.53067    0.53867    0.57467    0.59333      0.632       0.62
    iter=24         23.835      53.973    0.32267    0.34667    0.35333      0.372      0.372      0.408    0.43467      0.448      0.46533    0.50267    0.52133      0.548      0.588    0.60933    0.60667
    iter=25          22.39      70.429    0.30933      0.324    0.33733    0.35067    0.35467       0.38    0.40267    0.40933      0.42667    0.46667    0.50267    0.54133    0.57067      0.584    0.61467
    iter=26         20.726      55.195    0.34133    0.35067    0.37067    0.37333    0.39333       0.42      0.444    0.47733      0.48667    0.52933      0.552    0.55867    0.58667    0.60267      0.608
    iter=27         19.498      56.602    0.29333    0.31467      0.332    0.35333    0.35867      0.372    0.41867    0.43467      0.47067        0.5    0.51733    0.54133      0.576    0.60933    0.59067
    iter=28         18.619      43.292    0.27867      0.304    0.32133      0.324    0.34133    0.38667    0.40133    0.42667         0.44    0.48533    0.49733      0.528    0.55467    0.57333      0.568
    iter=29         17.486      55.446      0.256    0.27467    0.28933    0.30133      0.332    0.34933    0.38267      0.392        0.404      0.448    0.47467    0.51067    0.54133      0.552    0.57333
    iter=30         16.184      44.836    0.29333    0.30667    0.31867    0.34267    0.35733      0.376    0.41467    0.43867         0.46      0.488      0.516    0.52267      0.556    0.56667      0.556
    iter=31         15.226      42.721    0.25467    0.28267      0.304      0.308      0.332    0.35333    0.38133    0.41333        0.424      0.468    0.48933    0.50667    0.53467      0.564    0.57067
    iter=32         14.541      34.734    0.23467       0.26    0.27333      0.284    0.30533    0.32667       0.36    0.37467      0.42667      0.444    0.47333    0.48667      0.512    0.52667    0.57333
    iter=33         13.655      49.847      0.212    0.22267    0.23867      0.252    0.27333        0.3    0.32267    0.34267        0.384    0.40267    0.44667    0.47067      0.504    0.52267       0.54
    iter=34         12.637      37.633    0.24133      0.268    0.28533    0.30133    0.32533      0.344      0.376        0.4      0.43333       0.46    0.46933    0.51067       0.52      0.528       0.52
    iter=35         11.891      38.389    0.21733      0.248      0.256      0.264    0.29067      0.324      0.332    0.37467      0.39333    0.42133      0.448    0.47867    0.52533    0.52267    0.56267
    iter=36         11.355      29.498    0.20267    0.21733       0.24    0.25733    0.27733    0.29467    0.31467    0.35733        0.368    0.40267      0.432    0.47733      0.504    0.52267    0.50933
    iter=37         10.663      35.184      0.176    0.19333    0.20133    0.22133      0.244      0.264    0.29733    0.33067      0.31733    0.37333    0.39333    0.44267    0.47067    0.49333    0.50133
    iter=38          9.867      29.169      0.204      0.236       0.24    0.26667    0.27867    0.30533    0.33733    0.36133      0.38267    0.41467    0.44667    0.46267      0.472      0.504      0.492
    iter=39         9.2852      33.663    0.18667    0.20267    0.22267    0.23067    0.24933    0.27867    0.30933      0.328      0.37467      0.396    0.42667      0.464      0.468    0.49467      0.512
    iter=40         8.8665      22.039    0.17467    0.19333    0.20133    0.22133    0.24533    0.26267    0.29467    0.31333         0.34      0.384    0.41867    0.43733    0.44267       0.46      0.484
    iter=41         8.3259      32.125      0.148      0.172    0.18667    0.19733      0.224      0.248    0.25733    0.27867      0.29867    0.33467      0.372    0.40267    0.43067      0.464    0.46533
    iter=42         7.7043      26.262      0.176    0.19867    0.20533    0.22533    0.26667    0.28133      0.296      0.332      0.34533    0.37333       0.38      0.428    0.45467    0.45333    0.44933
    iter=43         7.2505      25.298    0.15733    0.17067      0.188      0.204    0.22267      0.248    0.26667    0.30133        0.324      0.356    0.36667    0.42533      0.448    0.47333        0.5
    iter=44         6.9229      18.636    0.14933    0.15867      0.184        0.2    0.22667      0.248      0.264      0.296      0.28267    0.34533    0.36267    0.40667    0.42133      0.448    0.45867
    iter=45          6.501      30.906       0.12    0.14133    0.14267    0.16933    0.19467    0.20933    0.21867      0.248      0.26667    0.29467    0.31867    0.34133    0.40267      0.404    0.45067
    iter=46         6.0155      23.841      0.148    0.17333    0.18267      0.204      0.216    0.24533      0.276      0.284      0.30933    0.33733      0.348      0.364    0.41067    0.41067    0.43067
    iter=47         5.6615      23.377      0.124       0.16    0.16933    0.18933    0.20133      0.212      0.236    0.25867      0.27733    0.30267    0.34933    0.37867    0.41867       0.42      0.436
    iter=48         5.4051      23.463    0.12667    0.14667      0.168       0.18    0.19067      0.212    0.22933    0.24533      0.26533    0.30267    0.31867      0.344        0.4    0.39867    0.42267
    iter=49          5.076      22.544    0.10533    0.12133      0.136    0.15467       0.16    0.18133    0.18933      0.228        0.228    0.25467    0.29733    0.30933      0.376    0.37333      0.396
    iter=50         4.6969      23.104      0.132    0.13867    0.15333    0.18267    0.18133    0.20533      0.228    0.25733      0.26933      0.296    0.32267    0.33867    0.36267    0.38133    0.34533
    iter=213    0.00019881    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=214    0.00018419           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=215    0.00017317    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=216    0.00016507           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=217    0.00015522    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=218    0.00014381           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=219     0.0001352    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=220    0.00012887           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=221    0.00012119    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=222    0.00011228           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=223    0.00010556    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=224    0.00010061           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=225    9.4617e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=226    8.7667e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=227    8.2412e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=228    7.8549e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=229    7.3872e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=230    6.8448e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=231    6.4343e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=232    6.1325e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=233    5.7675e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=234    5.3442e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=235    5.0235e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=236    4.7878e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=237    4.5029e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=238    4.1726e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=239    3.9221e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=240    3.7379e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=241    3.5156e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=242    3.2578e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=243    3.0621e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=244    2.9183e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=245    2.7448e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=246    2.5436e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=247    2.3907e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=248    2.2784e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=249     2.143e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=250    1.9859e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=251    1.8666e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=252    1.7788e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=253    1.6731e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=254    1.5506e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=255    1.4573e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=256    1.3887e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=257    1.3063e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=258    1.2106e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=259    1.1378e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=260    1.0842e-05           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0
    iter=261    1.0199e-05    0.093458          0          0          0          0          0          0          0          0    0.0013333          0          0          0          0          0          0
    iter=262    9.4521e-06           0          0          0          0          0          0          0          0          0            0          0          0          0          0          0          0

tb_val: V(a,z) value at each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20            15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a2=-19.9065       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a3=-19.8131       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a4=-19.7196       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a5=-19.6262       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a6=-19.5327       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a7=-19.4393       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a8=-19.3458       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a9=-19.2523       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a10=-19.1589      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a11=-19.0654      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a12=-18.972       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a13=-18.8785      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a14=-18.785       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a15=-18.6916      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a16=-18.5981      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a17=-18.5047      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a18=-18.4112      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a19=-18.3178      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.471  
    a20=-18.2243      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.472  
    a21=-18.1308      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.485  
    a22=-18.0374      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.449       15.498  
    a23=-17.9439      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426         15.45        15.51  
    a24=-17.8505      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.463       15.522  
    a25=-17.757       15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.426        15.476       15.534  
    a26=-17.6636      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.433        15.489       15.545  
    a27=-17.5701      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.404        15.447        15.501       15.556  
    a28=-17.4766      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.408         15.46        15.513       15.566  
    a29=-17.3832      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.382        15.422        15.472        15.524       15.576  
    a30=-17.2897      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.388        15.435        15.484        15.535       15.586  
    a31=-17.1963      15.228        15.238        15.25       15.263        15.277        15.292        15.362        15.402        15.448        15.496        15.545       15.595  
    a32=-17.1028      15.228        15.238        15.25       15.263        15.277        15.292        15.374        15.416        15.461        15.507        15.556       15.604  
    a33=-17.0093      15.228        15.238        15.25       15.263        15.277        15.292        15.388        15.429        15.473        15.518        15.566       15.613  
    a34=-16.9159      15.228        15.238        15.25       15.263        15.277        15.292        15.401        15.442        15.484        15.529        15.575       15.622  
    a35=-16.8224      15.228        15.238        15.25       15.263        15.277        15.292        15.414        15.454        15.495        15.539        15.584        15.63  
    a36=-16.729       15.228        15.238        15.25       15.263        15.277        15.296        15.427        15.465        15.506        15.549        15.594       15.638  
    a37=-16.6355      15.228        15.238        15.25       15.263        15.285        15.311        15.439        15.477        15.517        15.559        15.602       15.646  
    a38=-16.5421      15.228        15.238       15.254       15.276          15.3        15.326        15.451        15.488        15.527        15.568        15.611       15.654  
    a39=-16.4486      15.233        15.251        15.27       15.291        15.315         15.34        15.462        15.498        15.537        15.577        15.619       15.661  
    a40=-16.3551      15.249        15.266       15.285       15.306        15.329        15.353        15.473        15.509        15.546        15.586        15.627       15.669  
    a41=-16.2617      15.264         15.28       15.299        15.32        15.342        15.366        15.484        15.518        15.555        15.594        15.635       15.676  
    a42=-16.1682      15.278        15.295       15.313       15.333        15.355        15.379        15.494        15.528        15.564        15.603        15.643       15.683  
    a43=-16.0748      15.292        15.308       15.326       15.346        15.367        15.391        15.504        15.537        15.573        15.611         15.65        15.69  
    a44=-15.9813      15.305        15.321       15.339       15.358        15.379        15.402        15.513        15.546        15.581        15.619        15.657       15.696  
    a45=-15.8879      15.318        15.334       15.351        15.37        15.391        15.413        15.523        15.555         15.59        15.626        15.664       15.703  
    a46=-15.7944      15.331        15.346       15.363       15.381        15.402        15.424        15.532        15.564        15.598        15.634        15.671       15.709  
    a47=-15.7009      15.342        15.357       15.374       15.393        15.413        15.435         15.54        15.572        15.605        15.641        15.678       15.715  
    a48=-15.6075      15.354        15.369       15.385       15.403        15.423        15.445        15.549         15.58        15.613        15.648        15.684       15.721  
    a49=-15.514       15.365        15.379       15.396       15.414        15.433        15.454        15.557        15.588         15.62        15.655        15.691       15.727  
    a50=-15.4206      15.376         15.39       15.406       15.424        15.443        15.464        15.565        15.595        15.628        15.662        15.697       15.733  
    a701=45.4206      18.078         18.09       18.103       18.118        18.134        18.151        18.236        18.263        18.293        18.325        18.358       18.393  
    a702=45.514       18.082        18.093       18.107       18.121        18.137        18.154         18.24        18.267        18.296        18.328        18.362       18.396  
    a703=45.6075      18.085        18.097        18.11       18.125         18.14        18.158        18.243         18.27          18.3        18.332        18.365       18.399  
    a704=45.7009      18.089          18.1       18.113       18.128        18.144        18.161        18.247        18.274        18.303        18.335        18.369       18.403  
    a705=45.7944      18.092        18.104       18.117       18.131        18.147        18.164         18.25        18.277        18.307        18.338        18.372       18.406  
    a706=45.8879      18.096        18.107        18.12       18.135        18.151        18.168        18.254        18.281         18.31        18.342        18.375       18.409  
    a707=45.9813      18.099        18.111       18.124       18.138        18.154        18.171        18.257        18.284        18.314        18.345        18.379       18.413  
    a708=46.0748      18.102        18.114       18.127       18.142        18.157        18.174        18.261        18.288        18.317        18.349        18.382       18.416  
    a709=46.1682      18.106        18.117        18.13       18.145        18.161        18.178        18.264        18.291        18.321        18.352        18.385       18.419  
    a710=46.2617      18.109        18.121       18.134       18.148        18.164        18.181        18.267        18.295        18.324        18.355        18.389       18.423  
    a711=46.3551      18.113        18.124       18.137       18.152        18.167        18.184        18.271        18.298        18.327        18.359        18.392       18.426  
    a712=46.4486      18.116        18.128       18.141       18.155        18.171        18.188        18.274        18.301        18.331        18.362        18.395       18.429  
    a713=46.5421       18.12        18.131       18.144       18.158        18.174        18.191        18.278        18.305        18.334        18.366        18.399       18.433  
    a714=46.6355      18.123        18.134       18.147       18.162        18.177        18.194        18.281        18.308        18.338        18.369        18.402       18.436  
    a715=46.729       18.126        18.138       18.151       18.165        18.181        18.198        18.285        18.312        18.341        18.372        18.405       18.439  
    a716=46.8224       18.13        18.141       18.154       18.168        18.184        18.201        18.288        18.315        18.344        18.376        18.409       18.443  
    a717=46.9159      18.133        18.144       18.157       18.172        18.187        18.204        18.292        18.319        18.348        18.379        18.412       18.446  
    a718=47.0093      18.136        18.148       18.161       18.175        18.191        18.208        18.295        18.322        18.351        18.382        18.415       18.449  
    a719=47.1028       18.14        18.151       18.164       18.178        18.194        18.211        18.299        18.326        18.355        18.386        18.419       18.452  
    a720=47.1963      18.143        18.154       18.167       18.182        18.197        18.215        18.302        18.329        18.358        18.389        18.422       18.456  
    a721=47.2897      18.147        18.158       18.171       18.185        18.201        18.218        18.306        18.332        18.361        18.392        18.425       18.459  
    a722=47.3832       18.15        18.161       18.174       18.188        18.204        18.221        18.309        18.336        18.365        18.396        18.429       18.462  
    a723=47.4766      18.153        18.165       18.177       18.192        18.207        18.225        18.312        18.339        18.368        18.399        18.432       18.466  
    a724=47.5701      18.157        18.168       18.181       18.195        18.211        18.228        18.316        18.343        18.371        18.402        18.435       18.469  
    a725=47.6636       18.16        18.171       18.184       18.198        18.214        18.232        18.319        18.346        18.375        18.406        18.439       18.472  
    a726=47.757       18.163        18.174       18.187       18.202        18.218        18.235        18.323        18.349        18.378        18.409        18.442       18.476  
    a727=47.8505      18.167        18.178       18.191       18.205        18.221        18.238        18.326        18.353        18.382        18.412        18.445       18.479  
    a728=47.9439       18.17        18.181       18.194       18.208        18.224        18.242         18.33        18.356        18.385        18.416        18.449       18.482  
    a729=48.0374      18.173        18.184       18.197       18.212        18.228        18.245        18.333         18.36        18.388        18.419        18.452       18.485  
    a730=48.1308      18.176        18.188       18.201       18.215        18.231        18.249        18.336        18.363        18.392        18.422        18.455       18.489  
    a731=48.2243       18.18        18.191       18.204       18.218        18.235        18.252         18.34        18.366        18.395        18.426        18.458       18.492  
    a732=48.3178      18.183        18.194       18.207       18.222        18.238        18.256        18.343         18.37        18.398        18.429        18.462       18.495  
    a733=48.4112      18.186        18.198       18.211       18.225        18.241        18.259        18.347        18.373        18.402        18.432        18.465       18.499  
    a734=48.5047       18.19        18.201       18.214       18.229        18.245        18.263         18.35        18.376        18.405        18.436        18.468       18.502  
    a735=48.5981      18.193        18.204       18.217       18.232        18.248        18.266        18.353         18.38        18.408        18.439        18.472       18.505  
    a736=48.6916      18.196        18.208       18.221       18.236        18.252         18.27        18.357        18.383        18.412        18.442        18.475       18.509  
    a737=48.785         18.2        18.211       18.224       18.239        18.255        18.273         18.36        18.386        18.415        18.446        18.478       18.512  
    a738=48.8785      18.203        18.214       18.228       18.242        18.259        18.277        18.363         18.39        18.418        18.449        18.482       18.515  
    a739=48.972       18.206        18.218       18.231       18.246        18.262         18.28        18.367        18.393        18.421        18.452        18.485       18.519  
    a740=49.0654       18.21        18.221       18.234       18.249        18.266        18.284         18.37        18.396        18.425        18.455        18.488       18.522  
    a741=49.1589      18.213        18.224       18.238       18.253        18.269        18.287        18.374          18.4        18.428        18.459        18.491       18.525  
    a742=49.2523      18.216        18.228       18.241       18.256        18.273        18.291        18.377        18.403        18.431        18.462        18.495       18.528  
    a743=49.3458      18.219        18.231       18.245        18.26        18.276        18.294         18.38        18.406        18.435        18.465        18.498       18.532  
    a744=49.4393      18.223        18.235       18.248       18.263         18.28        18.298        18.384         18.41        18.438        18.469        18.501       18.535  
    a745=49.5327      18.226        18.238       18.252       18.267        18.283        18.301        18.387        18.413        18.441        18.472        18.505       18.538  
    a746=49.6262       18.23        18.242       18.255        18.27        18.287        18.304         18.39        18.416        18.445        18.475        18.508       18.542  
    a747=49.7196      18.233        18.245       18.259       18.274         18.29        18.308        18.394         18.42        18.448        18.478        18.511       18.545  
    a748=49.8131      18.237        18.249       18.262       18.277        18.294        18.311        18.397        18.423        18.451        18.482        18.515       18.548  
    a749=49.9065       18.24        18.252       18.266       18.281        18.297        18.315          18.4        18.426        18.454        18.485        18.518       18.552  
    a750=50           18.244        18.256       18.269       18.284        18.301        18.318        18.403        18.429        18.458        18.488        18.521       18.555  

tb_pol_a: optimal asset choice for each state space point
                    z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                    __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    a1=-20                 0             0            0            0             0             0             0             0             0             0             0            0  
    a2=-19.9065            0             0            0            0             0             0             0             0             0             0             0            0  
    a3=-19.8131            0             0            0            0             0             0             0             0             0             0             0            0  
    a4=-19.7196            0             0            0            0             0             0             0             0             0             0             0            0  
    a5=-19.6262            0             0            0            0             0             0             0             0             0             0             0            0  
    a6=-19.5327            0             0            0            0             0             0             0             0             0             0             0            0  
    a7=-19.4393            0             0            0            0             0             0             0             0             0             0             0            0  
    a8=-19.3458            0             0            0            0             0             0             0             0             0             0             0            0  
    a9=-19.2523            0             0            0            0             0             0             0             0             0             0             0            0  
    a10=-19.1589           0             0            0            0             0             0             0             0             0             0             0            0  
    a11=-19.0654           0             0            0            0             0             0             0             0             0             0             0            0  
    a12=-18.972            0             0            0            0             0             0             0             0             0             0             0            0  
    a13=-18.8785           0             0            0            0             0             0             0             0             0             0             0            0  
    a14=-18.785            0             0            0            0             0             0             0             0             0             0             0            0  
    a15=-18.6916           0             0            0            0             0             0             0             0             0             0             0            0  
    a16=-18.5981           0             0            0            0             0             0             0             0             0             0             0            0  
    a17=-18.5047           0             0            0            0             0             0             0             0             0             0             0            0  
    a18=-18.4112           0             0            0            0             0             0             0             0             0             0             0            0  
    a19=-18.3178           0             0            0            0             0             0             0             0             0             0             0            0  
    a20=-18.2243           0             0            0            0             0             0             0             0             0             0             0          -20  
    a21=-18.1308           0             0            0            0             0             0             0             0             0             0             0          -20  
    a22=-18.0374           0             0            0            0             0             0             0             0             0             0             0          -20  
    a23=-17.9439           0             0            0            0             0             0             0             0             0             0           -20          -20  
    a24=-17.8505           0             0            0            0             0             0             0             0             0             0           -20          -20  
    a25=-17.757            0             0            0            0             0             0             0             0             0             0           -20          -20  
    a26=-17.6636           0             0            0            0             0             0             0             0             0           -20           -20          -20  
    a27=-17.5701           0             0            0            0             0             0             0             0             0           -20           -20          -20  
    a28=-17.4766           0             0            0            0             0             0             0             0           -20           -20           -20          -20  
    a29=-17.3832           0             0            0            0             0             0             0             0           -20           -20           -20          -20  
    a30=-17.2897           0             0            0            0             0             0             0           -20           -20           -20           -20          -20  
    a31=-17.1963           0             0            0            0             0             0             0           -20           -20           -20           -20          -20  
    a32=-17.1028           0             0            0            0             0             0           -20           -20           -20           -20           -20          -20  
    a33=-17.0093           0             0            0            0             0             0           -20           -20           -20           -20           -20          -20  
    a34=-16.9159           0             0            0            0             0             0           -20           -20           -20           -20           -20          -20  
    a35=-16.8224           0             0            0            0             0             0           -20           -20           -20           -20           -20          -20  
    a36=-16.729            0             0            0            0             0           -20           -20           -20           -20           -20           -20          -20  
    a37=-16.6355           0             0            0            0           -20           -20           -20           -20           -20           -20           -20          -20  
    a38=-16.5421           0             0          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a39=-16.4486         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a40=-16.3551         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a41=-16.2617         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a42=-16.1682         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a43=-16.0748         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a44=-15.9813         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a45=-15.8879         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a46=-15.7944         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a47=-15.7009         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a48=-15.6075         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a49=-15.514          -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a50=-15.4206         -20           -20          -20          -20           -20           -20           -20           -20           -20           -20           -20          -20  
    a701=45.4206      37.757         37.85        37.85        37.85        37.944        37.944        38.598        38.879        39.065        39.252        39.533       39.813  
    a702=45.514        37.85        37.944       37.944       37.944        38.037        38.037        38.692        38.972        39.159        39.346        39.626       39.907  
    a703=45.6075      37.944        37.944       38.037       38.037        38.037        38.131        38.785        39.065        39.252        39.439         39.72       39.907  
    a704=45.7009      38.037        38.037       38.131       38.131        38.131        38.224        38.879        39.159        39.346        39.533         39.72           40  
    a705=45.7944      38.131        38.131       38.224       38.224        38.224        38.318        38.972        39.252        39.439        39.626        39.813       40.093  
    a706=45.8879      38.224        38.224       38.224       38.318        38.318        38.411        39.159        39.346        39.533         39.72        39.907       40.187  
    a707=45.9813      38.318        38.318       38.318       38.411        38.411        38.505        39.252        39.439        39.626        39.813            40        40.28  
    a708=46.0748      38.411        38.411       38.411       38.505        38.505        38.598        39.346        39.533         39.72        39.907        40.093       40.374  
    a709=46.1682      38.505        38.505       38.505       38.505        38.598        38.692        39.439        39.626        39.813            40        40.187       40.467  
    a710=46.2617      38.505        38.598       38.598       38.598        38.692        38.785        39.533         39.72        39.907        40.093         40.28       40.561  
    a711=46.3551      38.598        38.692       38.692       38.692        38.785        38.879        39.626        39.813            40        40.187        40.374       40.654  
    a712=46.4486      38.692        38.785       38.785       38.785        38.879        38.972         39.72        39.907        40.093         40.28        40.467       40.748  
    a713=46.5421      38.785        38.785       38.879       38.879        38.972        39.065        39.813            40        40.187        40.374        40.561       40.841  
    a714=46.6355      38.879        38.879       38.972       38.972        39.065        39.159        39.907        40.093        40.187        40.374        40.654       40.935  
    a715=46.729       38.972        38.972       39.065       39.065        39.159        39.252            40        40.187         40.28        40.467        40.748       41.028  
    a716=46.8224      39.065        39.065       39.065       39.159        39.252        39.346        40.093         40.28        40.374        40.561        40.841       41.121  
    a717=46.9159      39.159        39.159       39.159       39.252        39.346        39.439        40.187        40.374        40.467        40.654        40.935       41.215  
    a718=47.0093      39.252        39.252       39.252       39.346        39.439        39.533         40.28        40.467        40.561        40.748        41.028       41.308  
    a719=47.1028      39.346        39.346       39.346       39.439        39.533        39.626        40.374        40.467        40.654        40.841        41.121       41.402  
    a720=47.1963      39.346        39.439       39.439       39.533        39.626        39.813        40.467        40.561        40.748        40.935        41.215       41.495  
    a721=47.2897      39.439        39.533       39.533       39.626         39.72        39.907        40.561        40.654        40.841        41.028        41.308       41.589  
    a722=47.3832      39.533        39.626       39.626        39.72        39.813            40        40.654        40.748        40.935        41.121        41.402       41.682  
    a723=47.4766      39.626         39.72        39.72       39.813        39.907        40.093        40.748        40.841        41.028        41.215        41.495       41.776  
    a724=47.5701       39.72        39.813       39.813       39.907            40        40.187        40.841        40.935        41.121        41.308        41.589       41.869  
    a725=47.6636      39.813        39.813       39.907           40        40.187        40.374        40.935        41.028        41.215        41.402        41.682       41.963  
    a726=47.757       39.907        39.907           40       40.093         40.28        40.467        41.028        41.121        41.308        41.495        41.776       42.056  
    a727=47.8505          40            40       40.093       40.187        40.374        40.561        41.121        41.215        41.402        41.589        41.869        42.15  
    a728=47.9439      40.093        40.093       40.187        40.28        40.467        40.654        41.121        41.308        41.495        41.682        41.963       42.243  
    a729=48.0374      40.187        40.187        40.28       40.467        40.654        40.841        41.215        41.402        41.495        41.776        42.056       42.336  
    a730=48.1308       40.28         40.28       40.374       40.561        40.748        40.935        41.308        41.495        41.589        41.869         42.15        42.43  
    a731=48.2243      40.374        40.374       40.467       40.654        40.841        41.028        41.402        41.589        41.682        41.963        42.243       42.523  
    a732=48.3178      40.467        40.467       40.561       40.748        41.028        41.121        41.495        41.682        41.776        42.056        42.336       42.617  
    a733=48.4112      40.561        40.561       40.748       40.935        41.121        41.215        41.589        41.682        41.869         42.15         42.43        42.71  
    a734=48.5047      40.654        40.654       40.841       41.028        41.215        41.308        41.682        41.776        41.963        42.243        42.523       42.804  
    a735=48.5981      40.748        40.841       40.935       41.121        41.308        41.402        41.776        41.869        42.056        42.336        42.617       42.897  
    a736=48.6916      40.841        40.935       41.028       41.308        41.402        41.495        41.869        41.963         42.15         42.43         42.71       43.084  
    a737=48.785       40.935        41.028       41.215       41.402        41.495        41.589        41.963        42.056        42.243        42.523        42.804       43.178  
    a738=48.8785      41.028        41.121       41.308       41.495        41.589        41.682        42.056         42.15        42.336        42.617        42.897       43.271  
    a739=48.972       41.121        41.308       41.495       41.589        41.682        41.776         42.15        42.243         42.43         42.71        42.991       43.364  
    a740=49.0654      41.215        41.402       41.589       41.776        41.776        41.869        42.243        42.336        42.523        42.804        43.084       43.458  
    a741=49.1589      41.308        41.495       41.682       41.869        41.869        41.963        42.243         42.43        42.617        42.897        43.178       43.551  
    a742=49.2523      41.495        41.682       41.869       41.963        41.963        42.056        42.336        42.523         42.71        42.991        43.271       43.645  
    a743=49.3458      41.589        41.776       41.963       42.056        42.056         42.15         42.43        42.617        42.804        43.084        43.364       43.738  
    a744=49.4393      41.682        41.963       42.056        42.15         42.15        42.243        42.523         42.71        42.897        43.178        43.458       43.832  
    a745=49.5327      41.869        42.056        42.15       42.243        42.243        42.336        42.617        42.804        42.991        43.271        43.551       43.925  
    a746=49.6262      42.056         42.15       42.243       42.336        42.336         42.43         42.71        42.897        43.084        43.364        43.645       44.019  
    a747=49.7196       42.15        42.336       42.336        42.43         42.43        42.523        42.804        42.991        43.178        43.458        43.738       44.112  
    a748=49.8131      42.336         42.43        42.43       42.523        42.523        42.523        42.897        43.084        43.271        43.551        43.832       44.206  
    a749=49.9065      42.523        42.523       42.523       42.617        42.617        42.617        42.991        43.178        43.364        43.645        43.925       44.299  
    a750=50           42.617        42.617       42.617       42.617         42.71         42.71        43.084        43.271        43.458        43.738        44.019       44.393