1 2019 (Biden/Trump Checks) Full States EV and EC of Two Checks

This is the example vignette for function: snw_evuvw19_jaeemk_foc from the PrjOptiSNW Package. 2019 integrated over VU and VW, given optimal savings choices, unemployment shocks and various expectations.

Given 2020 JAEEMK (age, endogenous savings, education, income shock, marital status, kids count), what is the expected value for the planner given 2020 JAEEMK and transition between 2019 to 2020 JAEEMK given some stimulus check assignment based on 2019 information? (Stimulus amount set by WELF_CHECKS). This is similar to snw_evuvw19_jaeemk, except the solution here, under snw_evuvw19_jaeemk_foc, relies on First Order Conditions, and are hence faster.

Despite the name, this function supports solving the 2019 looking into 2020 as well as the 2007 looking into 2008 problems. The idea is that the planner only has information from 2019 and from 2007, and must allocate using those information. Stimulus, however, is given in 2020 and in 2008. So the planner needs to consider expected values in consumption or welfare given the transition probabilities of states in 2007 to 2008 and in 2019 to 2020. The snw_evuvw19_jmky file then aggregates the full state-space results to just JMKY state-space, which is the extend of information available to the planner.

1.1 Test SNW_EVUVW19_JAEEMK Defaults for 2019

Call the function with defaults parameters.

clear all;
% Solution types
st_biden_or_trump = 'bidenchk';
st_solu_type = 'bisec_vec';

% Solve the VFI Problem and get Value Function
mp_params = snw_mp_param('default_docdense');
% mp_params = snw_mp_param('default_dense');
mp_params('beta') = 0.95;
mp_params('st_biden_or_trump') = st_biden_or_trump;
% mp_params = snw_mp_param('default_dense');
mp_controls = snw_mp_control('default_test');

% set Unemployment Related Variables
mp_params('a2_covidyr') = mp_params('a2_covidyr_manna_heaven');
% mp_params('a2_covidyr') = mp_params('a2_covidyr_tax_fully_pay');

% Solve for Unemployment Values
mp_controls('bl_print_vfi') = false;
mp_controls('bl_print_vfi_verbose') = true;
mp_controls('bl_print_ds') = false;
mp_controls('bl_print_ds_verbose') = false;    
mp_controls('bl_print_precompute') = false;
mp_controls('bl_print_precompute_verbose') = false;
mp_controls('bl_print_a4chk') = false;
mp_controls('bl_print_a4chk_verbose') = false;
mp_controls('bl_print_evuvw20_jaeemk') = false;
mp_controls('bl_print_evuvw20_jaeemk_verbose') = false;

% Solve the Model to get V working and unemployed
[V_ss,ap_ss,cons_ss,mp_valpol_more_ss] = snw_vfi_main_bisec_vec(mp_params, mp_controls);

Completed SNW_VFI_MAIN_BISEC_VEC;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=519.5191
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                i    idx    ndim     numel      rowN      colN           sum         mean       std      coefvari      min          max    
                _    ___    ____    ________    ____    _________    ___________    _______    ______    ________    ________    __________

    V_VFI       1     1      6      4.37e+07     83     5.265e+05    -6.6619e+08    -15.245    21.865    -1.4343      -504.39    -0.0071775
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3967e+09     31.962    36.426     1.1397            0        160.24
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3276e+08     5.3263    8.4413     1.5848     0.036717        141.61

xxx TABLE:V_VFI xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -293.96    -293.57    -291.09    -285.44    -276.41      -4.3584      -4.2643      -4.1713      -4.0795      -3.9885
    r2     -284.42    -284.03    -281.55    -275.97    -267.24      -4.2519      -4.1612      -4.0717      -3.9832      -3.8955
    r3     -274.87    -274.48    -272.03    -266.62    -258.33      -4.1429      -4.0559      -3.9698      -3.8847      -3.8002
    r4     -265.22    -264.86    -262.58    -257.53    -249.74      -4.0309      -3.9475      -3.8649      -3.7833      -3.7017
    r5     -256.51    -256.17    -254.04     -249.3    -241.96      -3.9252      -3.8452      -3.7659      -3.6873      -3.6084
    r79    -13.642    -13.628    -13.535    -13.298    -12.896     -0.22092     -0.21058     -0.20086     -0.19173     -0.18315
    r80    -12.283    -12.269    -12.176    -11.939    -11.537     -0.16979     -0.16182      -0.1543     -0.14722     -0.14057
    r81    -10.605    -10.591    -10.498    -10.261    -9.8589     -0.11712     -0.11163     -0.10646     -0.10157     -0.09695
    r82    -8.3494    -8.3358    -8.2424    -8.0055    -7.6035    -0.065333    -0.062242     -0.05936    -0.056635    -0.054056
    r83    -5.0665    -5.0529    -4.9595    -4.7226    -4.3206    -0.020968    -0.019972    -0.019038    -0.018161    -0.017336

xxx TABLE:ap_VFI xxxxxxxxxxxxxxxxxx
           c1    c2        c3           c4           c5       c526496    c526497    c526498    c526499    c526500
           __    __    __________    _________    ________    _______    _______    _______    _______    _______

    r1     0     0     0.00051498    0.0066578    0.021589    112.13     117.67      123.4     129.31     135.72 
    r2     0     0     0.00051498    0.0057684    0.020245    112.17     117.71     123.43     129.34     135.76 
    r3     0     0     0.00020768    0.0041456    0.018539     112.2     117.73     123.45     129.37     135.78 
    r4     0     0     0.00010346    0.0041199    0.018307    112.86     118.39     124.11     130.03     136.44 
    r5     0     0     5.2907e-06    0.0041199    0.018091    113.53     119.07     124.79     130.71     137.12 
    r79    0     0              0            0           0    81.091     85.364     89.335     93.258     97.348 
    r80    0     0              0            0           0    76.124     79.747     83.431     86.986     90.578 
    r81    0     0              0            0           0    67.945     70.639     73.673     76.991     81.091 
    r82    0     0              0            0           0    50.126     53.467     56.302     57.884     60.587 
    r83    0     0              0            0           0         0          0          0          0          0 

xxx TABLE:cons_VFI xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036717    0.037251    0.040477    0.044486    0.049324    12.265      12.55     12.844     13.145     13.145 
    r2     0.036717    0.037251    0.040477    0.045375    0.050668    12.501     12.787     13.082     13.383     13.383 
    r3     0.036717    0.037251    0.040784    0.046998    0.052374    12.755     13.042     13.337     13.638     13.638 
    r4     0.038144    0.038678    0.042314    0.048449    0.054031        13     13.289     13.584     13.883     13.883 
    r5     0.039534    0.040068    0.043802    0.049839    0.055635    13.236     13.525     13.821     14.116     14.116 
    r79     0.19737     0.19791     0.20163     0.21175     0.23145    35.811     37.362     39.409       41.7     44.025 
    r80     0.19737     0.19791     0.20163     0.21175     0.23145    40.752     42.953     45.286     47.946     50.769 
    r81     0.19737     0.19791     0.20163     0.21175     0.23145    48.909     52.039     55.022     57.919     60.234 
    r82     0.19737     0.19791     0.20163     0.21175     0.23145     66.71     69.193     72.375     77.007      80.72 
    r83     0.19737     0.19791     0.20163     0.21175     0.23145    116.82     122.65     128.66     134.88     141.29 

inc_VFI = mp_valpol_more_ss('inc_VFI');
spouse_inc_VFI = mp_valpol_more_ss('spouse_inc_VFI');
total_inc_VFI = inc_VFI + spouse_inc_VFI;
% Solve employment, same as 2020, except with possible change in tax
mp_params('xi') = 1;
mp_params('b') = 0;
[V_emp_2020,~,cons_emp_2020,~] = snw_vfi_main_bisec_vec(mp_params, mp_controls, V_ss);

Completed SNW_VFI_MAIN_BISEC_VEC 1 Period Unemp Shock;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=512.4091
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                i    idx    ndim     numel      rowN      colN           sum         mean       std      coefvari      min          max    
                _    ___    ____    ________    ____    _________    ___________    _______    ______    ________    ________    __________

    V_VFI       1     1      6      4.37e+07     83     5.265e+05    -6.6619e+08    -15.245    21.865    -1.4343      -504.39    -0.0071775
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3967e+09     31.962    36.426     1.1397            0        160.24
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3276e+08     5.3263    8.4413     1.5848     0.036717        141.61

xxx TABLE:V_VFI xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -293.96    -293.57    -291.09    -285.44    -276.41      -4.3584      -4.2643      -4.1713      -4.0795      -3.9885
    r2     -284.42    -284.03    -281.55    -275.97    -267.24      -4.2519      -4.1612      -4.0717      -3.9832      -3.8955
    r3     -274.87    -274.48    -272.03    -266.62    -258.33      -4.1429      -4.0559      -3.9698      -3.8847      -3.8002
    r4     -265.22    -264.86    -262.58    -257.53    -249.74      -4.0309      -3.9475      -3.8649      -3.7833      -3.7017
    r5     -256.51    -256.17    -254.04     -249.3    -241.96      -3.9252      -3.8452      -3.7659      -3.6873      -3.6084
    r79    -13.642    -13.628    -13.535    -13.298    -12.896     -0.22092     -0.21058     -0.20086     -0.19173     -0.18315
    r80    -12.283    -12.269    -12.176    -11.939    -11.537     -0.16979     -0.16182      -0.1543     -0.14722     -0.14057
    r81    -10.605    -10.591    -10.498    -10.261    -9.8589     -0.11712     -0.11163     -0.10646     -0.10157     -0.09695
    r82    -8.3494    -8.3358    -8.2424    -8.0055    -7.6035    -0.065333    -0.062242     -0.05936    -0.056635    -0.054056
    r83    -5.0665    -5.0529    -4.9595    -4.7226    -4.3206    -0.020968    -0.019972    -0.019038    -0.018161    -0.017336

xxx TABLE:ap_VFI xxxxxxxxxxxxxxxxxx
           c1    c2        c3           c4           c5       c526496    c526497    c526498    c526499    c526500
           __    __    __________    _________    ________    _______    _______    _______    _______    _______

    r1     0     0     0.00051498    0.0066578    0.021589    112.13     117.67      123.4     129.31     135.72 
    r2     0     0     0.00051498    0.0057684    0.020245    112.17     117.71     123.43     129.34     135.76 
    r3     0     0     0.00020768    0.0041456    0.018539     112.2     117.73     123.45     129.37     135.78 
    r4     0     0     0.00010346    0.0041199    0.018307    112.86     118.39     124.11     130.03     136.44 
    r5     0     0     5.2907e-06    0.0041199    0.018091    113.53     119.07     124.79     130.71     137.12 
    r79    0     0              0            0           0    81.091     85.364     89.335     93.258     97.348 
    r80    0     0              0            0           0    76.124     79.747     83.431     86.986     90.578 
    r81    0     0              0            0           0    67.945     70.639     73.673     76.991     81.091 
    r82    0     0              0            0           0    50.126     53.467     56.302     57.884     60.587 
    r83    0     0              0            0           0         0          0          0          0          0 

xxx TABLE:cons_VFI xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036717    0.037251    0.040477    0.044486    0.049324    12.265      12.55     12.844     13.145     13.145 
    r2     0.036717    0.037251    0.040477    0.045375    0.050668    12.501     12.787     13.082     13.383     13.383 
    r3     0.036717    0.037251    0.040784    0.046998    0.052374    12.755     13.042     13.337     13.638     13.638 
    r4     0.038144    0.038678    0.042314    0.048449    0.054031        13     13.289     13.584     13.883     13.883 
    r5     0.039534    0.040068    0.043802    0.049839    0.055635    13.236     13.525     13.821     14.116     14.116 
    r79     0.19737     0.19791     0.20163     0.21175     0.23145    35.811     37.362     39.409       41.7     44.025 
    r80     0.19737     0.19791     0.20163     0.21175     0.23145    40.752     42.953     45.286     47.946     50.769 
    r81     0.19737     0.19791     0.20163     0.21175     0.23145    48.909     52.039     55.022     57.919     60.234 
    r82     0.19737     0.19791     0.20163     0.21175     0.23145     66.71     69.193     72.375     77.007      80.72 
    r83     0.19737     0.19791     0.20163     0.21175     0.23145    116.82     122.65     128.66     134.88     141.29 

% Solve unemployment, different income than under ss due to income losses
mp_params('xi') = 0.50;
mp_params('b') = 0.50;
[V_unemp_2020,~,cons_unemp_2020,~] = snw_vfi_main_bisec_vec(mp_params, mp_controls, V_ss);

Completed SNW_VFI_MAIN_BISEC_VEC 1 Period Unemp Shock;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=510.0916
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                i    idx    ndim     numel      rowN      colN           sum         mean       std      coefvari      min          max    
                _    ___    ____    ________    ____    _________    ___________    _______    ______    ________    ________    __________

    V_VFI       1     1      6      4.37e+07     83     5.265e+05    -6.7567e+08    -15.462    22.251    -1.4391      -524.15    -0.0071775
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3783e+09     31.541     36.36     1.1528            0        151.82
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3114e+08     5.2893    8.4402     1.5957     0.027723        141.04

xxx TABLE:V_VFI xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1      -302.8    -302.11    -297.97     -290.4    -280.12      -4.3991      -4.3032      -4.2086      -4.1151       -4.023
    r2     -293.25    -292.57    -288.43    -280.86     -270.8      -4.2921      -4.1998      -4.1086      -4.0185      -3.9297
    r3      -283.7    -283.02    -278.88    -271.34    -261.75      -4.1826       -4.094      -4.0063      -3.9196       -3.834
    r4     -273.72    -273.09    -269.23    -262.13     -253.1      -4.0721       -3.987      -3.9028      -3.8196      -3.7373
    r5      -264.7    -264.11    -260.51    -253.79    -245.27      -3.9679      -3.8861      -3.8051       -3.725      -3.6456
    r79    -13.642    -13.628    -13.535    -13.298    -12.896     -0.22191     -0.21148     -0.20167     -0.19245      -0.1838
    r80    -12.283    -12.269    -12.176    -11.939    -11.537     -0.17053     -0.16249      -0.1549     -0.14776     -0.14105
    r81    -10.605    -10.591    -10.498    -10.261    -9.8589     -0.11764     -0.11208     -0.10686     -0.10194    -0.097291
    r82    -8.3494    -8.3358    -8.2424    -8.0055    -7.6035    -0.065608    -0.062497    -0.059592    -0.056839    -0.054243
    r83    -5.0665    -5.0529    -4.9595    -4.7226    -4.3206    -0.021056    -0.020052    -0.019111    -0.018227    -0.017397

xxx TABLE:ap_VFI xxxxxxxxxxxxxxxxxx
           c1    c2    c3        c4           c5       c526496    c526497    c526498    c526499    c526500
           __    __    __    __________    ________    _______    _______    _______    _______    _______

    r1     0     0     0      0.0011815    0.013905    109.98     115.52     121.26     127.18     133.29 
    r2     0     0     0     0.00090277    0.013905    109.95     115.49     121.22     127.14     133.26 
    r3     0     0     0     0.00051498    0.013905     109.9     115.45     121.18      127.1     133.21 
    r4     0     0     0     0.00051498    0.013905    110.34     115.88     121.61     127.53     133.65 
    r5     0     0     0     0.00048777    0.013905    110.79     116.33     122.06     127.98      134.1 
    r79    0     0     0              0           0    80.974     84.852     88.823     92.746     96.836 
    r80    0     0     0              0           0    75.619     79.241     82.926     86.481     90.439 
    r81    0     0     0              0           0    67.445     70.139     73.173     76.669     81.091 
    r82    0     0     0              0           0    50.126     53.467     55.806     57.389     60.587 
    r83    0     0     0              0           0         0          0          0          0          0 

xxx TABLE:cons_VFI xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.027723    0.028258    0.031999    0.040974    0.048028    11.989     12.265      12.55     12.844     13.145 
    r2     0.027723    0.028258    0.031999    0.041253    0.048028    12.223     12.501     12.787     13.082     13.383 
    r3     0.027723    0.028258    0.031999    0.041641    0.048028    12.476     12.755     13.042     13.337     13.638 
    r4     0.028805    0.029339    0.033081    0.042722    0.049108     12.72         13     13.289     13.584     13.883 
    r5     0.029859    0.030394    0.034135    0.043802    0.050161    12.955     13.236     13.525     13.821     14.116 
    r79     0.19737     0.19791     0.20163     0.21175     0.23145    35.417     37.362     39.409       41.7     44.025 
    r80     0.19737     0.19791     0.20163     0.21175     0.23145    40.752     42.953     45.286     47.946     50.402 
    r81     0.19737     0.19791     0.20163     0.21175     0.23145    48.909     52.039     55.022     57.741     59.734 
    r82     0.19737     0.19791     0.20163     0.21175     0.23145    66.215     68.697     72.375     77.007     80.224 
    r83     0.19737     0.19791     0.20163     0.21175     0.23145    116.33     122.15     128.17     134.39      140.8 

[Phi_true] = snw_ds_main(mp_params, mp_controls, ap_ss, cons_emp_2020, mp_valpol_more_ss);

Completed SNW_DS_MAIN;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=1473.2344

% Get Matrixes
cl_st_precompute_list = {'a', ...
    'inc', 'inc_unemp', 'spouse_inc', 'spouse_inc_unemp', 'ref_earn_wageind_grid',...
    'ar_z_ctr_amz'};
% cl_st_precompute_list = {'a', ...
%     'inc', 'inc_unemp', 'spouse_inc', 'spouse_inc_unemp', 'ref_earn_wageind_grid',...
%     'ap_idx_lower_ss', 'ap_idx_higher_ss', 'ap_idx_lower_weight_ss'};
mp_controls('bl_print_precompute_verbose') = false;
[mp_precompute_res] = snw_hh_precompute(mp_params, mp_controls, cl_st_precompute_list, ap_ss, Phi_true);

Wage quintile cutoffs=0.4645     0.71528      1.0335      1.5632
Completed SNW_HH_PRECOMPUTE;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=279.4135

1.2 Solve for 2019 Evuvw With 0 and 2 Checks

Solve for 0 and 2 checks, by finding the increase to asset state-space that is equivalent to the check increase, so that the problem can be solved without increasing the state-space.

% Call Function
welf_checks = 0;
[ev19_jaeemk_check0, ec19_jaeemk_check0, ev20_jaeemk_check0, ec20_jaeemk_check0] = snw_evuvw19_jaeemk_foc(...
    welf_checks, st_solu_type, mp_params, mp_controls, ...
    V_emp_2020, ap_ss, cons_emp_2020, V_unemp_2020, cons_unemp_2020, mp_precompute_res);

Completed SNW_A4CHK_WRK_BISEC_VEC;SNW_MP_PARAM=bidenchk;welf_checks=0;TR=0.0015999;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=70.3965
Completed SNW_A4CHK_UNEMP_BISEC_VEC;welf_checks=0;TR=0.0015999;xi=0.5;b=0.5;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=69.7891
Completed SNW_EVUVW20_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=8.3561
Completed SNW_EVUVW19_JAEEMK_FOC;st_biden_or_trump=bidenchk;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=13.292
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                   i    idx    ndim      numel       rowN      colN           sum         mean       std      coefvari      min          max    
                   _    ___    ____    __________    ____    _________    ___________    _______    ______    ________    ________    __________

    ec19_jaeemk    1     1      6      4.3173e+07     82     5.265e+05     1.9673e+08     4.5568    5.3248     1.1685     0.036494        64.526
    ec20_jaeemk    2     2      6        4.37e+07     83     5.265e+05     2.3259e+08     5.3225    8.4421     1.5861     0.033462        141.61
    ev19_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -6.4971e+08    -15.049    21.201    -1.4088       -473.7      -0.01597
    ev20_jaeemk    4     4      6        4.37e+07     83     5.265e+05     -6.683e+08    -15.293    21.999    -1.4385      -511.54    -0.0071775

xxx TABLE:ec19_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036494    0.036494    0.037029    0.041925    0.048857    12.017     12.289     12.569     12.857     13.165 
    r2     0.036494    0.036494    0.037029    0.041745    0.049665    12.261     12.534     12.815     13.104     13.411 
    r3     0.037912    0.037912    0.038127    0.041994    0.050655    12.495      12.77     13.052     13.341     13.647 
    r4     0.039293    0.039293    0.039401    0.043382    0.052052    12.753     13.028     13.311     13.599     13.902 
    r5     0.040635    0.040635     0.04064    0.044725    0.053494    13.002     13.278      13.56     13.846     14.145 
    r78     0.19737     0.19737     0.19737     0.19737     0.19791     27.77     28.769      29.78     30.961     32.408 
    r79     0.19737     0.19737     0.19737     0.19737     0.19737    30.426     31.659     32.732     33.953     35.512 
    r80     0.19737     0.19737     0.19737     0.19737     0.19737    33.678     35.498     37.364     38.952     40.187 
    r81     0.19737     0.19737     0.19737     0.19737     0.19737    40.112     41.394     43.173     45.605     48.455 
    r82     0.19737     0.19737     0.19737     0.19737     0.19737    52.096     55.537     58.457     60.087     62.871 

xxx TABLE:ec20_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.033462    0.033996    0.037408    0.043215    0.048855    12.242     12.527     12.819      13.12     13.145 
    r2     0.033462    0.033996    0.037408    0.043883    0.049712    12.478     12.763     13.057     13.358     13.383 
    r3     0.033462    0.033996    0.037604    0.045059    0.050801    12.731     13.018     13.313     13.613     13.638 
    r4     0.034763    0.035298    0.038972    0.046376    0.052249    12.977     13.265      13.56     13.858     13.883 
    r5     0.036032    0.036566    0.040303    0.047654    0.053654    13.213     13.501     13.796     14.092     14.116 
    r79     0.19737     0.19791     0.20163     0.21175     0.23145    35.811     37.362     39.409       41.7     44.025 
    r80     0.19737     0.19791     0.20163     0.21175     0.23145    40.752     42.953     45.286     47.946     50.769 
    r81     0.19737     0.19791     0.20163     0.21175     0.23145    48.909     52.039     55.022     57.919     60.234 
    r82     0.19737     0.19791     0.20163     0.21175     0.23145     66.71     69.193     72.375     77.007      80.72 
    r83     0.19737     0.19791     0.20163     0.21175     0.23145    116.82     122.65     128.66     134.88     141.29 

xxx TABLE:ev19_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -284.04    -284.04    -283.59    -279.25    -271.39      -4.3825       -4.288      -4.1947      -4.1025      -4.0066
    r2     -273.99    -273.99    -273.54    -269.79    -262.27      -4.2743      -4.1834      -4.0935      -4.0047      -3.9122
    r3     -263.81    -263.81    -263.65     -260.8    -253.57      -4.1639      -4.0766      -3.9902      -3.9047      -3.8157
    r4     -254.62    -254.62    -254.55    -251.83    -245.12        -4.05      -3.9664      -3.8835      -3.8015      -3.7155
    r5     -246.32    -246.32    -246.31     -243.7    -237.45      -3.9424      -3.8621      -3.7826      -3.7036      -3.6205
    r78    -13.649    -13.649    -13.649    -13.649    -13.635     -0.27318     -0.26108     -0.24974     -0.23894     -0.22858
    r79     -12.29     -12.29     -12.29     -12.29     -12.29     -0.21858     -0.20783     -0.19878     -0.19059     -0.18275
    r80    -10.611    -10.611    -10.611    -10.611    -10.611     -0.16128     -0.15409     -0.14735     -0.14136     -0.13575
    r81    -8.3555    -8.3555    -8.3555    -8.3555    -8.3555     -0.10114    -0.097402    -0.093444    -0.089432    -0.084914
    r82    -5.0715    -5.0715    -5.0715    -5.0715    -5.0715    -0.044205    -0.041465    -0.039418    -0.038353    -0.036628

xxx TABLE:ev20_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -297.16    -296.66    -293.58    -287.23    -277.75      -4.3618      -4.2675      -4.1744      -4.0824      -3.9914
    r2     -287.62    -287.12    -284.04    -277.74    -268.53      -4.2552      -4.1645      -4.0747      -3.9861      -3.8983
    r3     -278.06    -277.57    -274.51    -268.33    -259.57      -4.1462       -4.059      -3.9728      -3.8876       -3.803
    r4      -268.3    -267.84    -264.99    -259.19    -250.96      -4.0343      -3.9508      -3.8681      -3.7863      -3.7047
    r5     -259.47    -259.05    -256.38    -250.92    -243.16      -3.9288      -3.8486      -3.7691      -3.6904      -3.6115
    r79    -13.642    -13.628    -13.535    -13.298    -12.896     -0.22092     -0.21058     -0.20086     -0.19173     -0.18315
    r80    -12.283    -12.269    -12.176    -11.939    -11.537     -0.16979     -0.16182      -0.1543     -0.14722     -0.14057
    r81    -10.605    -10.591    -10.498    -10.261    -9.8589     -0.11712     -0.11163     -0.10646     -0.10157     -0.09695
    r82    -8.3494    -8.3358    -8.2424    -8.0055    -7.6035    -0.065333    -0.062242     -0.05936    -0.056635    -0.054056
    r83    -5.0665    -5.0529    -4.9595    -4.7226    -4.3206    -0.020968    -0.019972    -0.019038    -0.018161    -0.017336

% Call Function
welf_checks = 2;
[ev19_jaeemk_check2, ec19_jaeemk_check2, ev20_jaeemk_check2, ec20_jaeemk_check2] = snw_evuvw19_jaeemk_foc(...
    welf_checks, st_solu_type, mp_params, mp_controls, ...
    V_emp_2020,  ap_ss, cons_emp_2020, V_unemp_2020, cons_unemp_2020, mp_precompute_res);

Completed SNW_A4CHK_WRK_BISEC_VEC;SNW_MP_PARAM=bidenchk;welf_checks=2;TR=0.0015999;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=71.415
Completed SNW_A4CHK_UNEMP_BISEC_VEC;welf_checks=2;TR=0.0015999;xi=0.5;b=0.5;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=71.216
Completed SNW_EVUVW20_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=7.9626
Completed SNW_EVUVW19_JAEEMK_FOC;st_biden_or_trump=bidenchk;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=13.4174
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                   i    idx    ndim      numel       rowN      colN           sum         mean       std      coefvari      min          max    
                   _    ___    ____    __________    ____    _________    ___________    _______    ______    ________    ________    __________

    ec19_jaeemk    1     1      6      4.3173e+07     82     5.265e+05     1.9675e+08     4.5574    5.3248     1.1684     0.039362        64.529
    ec20_jaeemk    2     2      6        4.37e+07     83     5.265e+05     2.3261e+08      5.323    8.4422      1.586     0.036428        141.62
    ev19_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -6.4916e+08    -15.036    21.153    -1.4068      -468.51     -0.015969
    ev20_jaeemk    4     4      6        4.37e+07     83     5.265e+05    -6.6772e+08     -15.28    21.948    -1.4364      -505.55    -0.0071773

xxx TABLE:ec19_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.039371    0.039371     0.03984    0.043617      0.0497    12.017     12.289     12.569     12.858     13.165 
    r2     0.039522    0.039522    0.040022    0.043796    0.050541    12.261     12.534     12.815     13.104     13.411 
    r3     0.040961    0.040961    0.041164    0.044279    0.051563    12.496      12.77     13.052     13.342     13.647 
    r4     0.042361    0.042361    0.042463    0.045683     0.05298    12.753     13.028     13.311     13.599     13.902 
    r5     0.043704    0.043704    0.043709     0.04707    0.054441    13.002     13.278     13.561     13.846     14.145 
    r78     0.20057     0.20057     0.20057     0.20057     0.20111    27.771      28.77     29.781     30.962     32.409 
    r79     0.20057     0.20057     0.20057     0.20057     0.20057    30.427      31.66     32.733     33.955     35.514 
    r80     0.20057     0.20057     0.20057     0.20057     0.20057     33.68       35.5     37.365     38.953     40.188 
    r81     0.20057     0.20057     0.20057     0.20057     0.20057    40.114     41.396     43.176     45.607     48.456 
    r82     0.20057     0.20057     0.20057     0.20057     0.20057    52.099      55.54      58.46      60.09     62.874 

xxx TABLE:ec20_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036428    0.036915    0.039238    0.044128    0.049481    12.243     12.527      12.82      13.12     13.145 
    r2     0.036428    0.036915    0.039449    0.044827    0.050406    12.478     12.763     13.057     13.358     13.383 
    r3     0.036567    0.037083    0.039954    0.045988    0.051564    12.732     13.018     13.313     13.613     13.638 
    r4     0.037916    0.038441    0.041306    0.047327    0.053041    12.977     13.265      13.56     13.858     13.883 
    r5      0.03923    0.039763     0.04262    0.048625    0.054472    13.213     13.502     13.797     14.092     14.116 
    r79     0.20057     0.20111     0.20483     0.21495     0.23328    35.812     37.363      39.41     41.702     44.026 
    r80     0.20057     0.20111     0.20483     0.21495     0.23328    40.753     42.954     45.288     47.948      50.77 
    r81     0.20057     0.20111     0.20483     0.21495     0.23328    48.911     52.041     55.024      57.92     60.235 
    r82     0.20057     0.20111     0.20483     0.21495     0.23352    66.711     69.194     72.378     77.009     80.722 
    r83     0.20057     0.20111     0.20483     0.21495     0.23465    116.83     122.65     128.67     134.88      141.3 

xxx TABLE:ev19_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -281.59    -281.59    -281.18    -277.52    -270.11      -4.3824       -4.288      -4.1946      -4.1024      -4.0066
    r2     -271.55    -271.55    -271.16    -268.06    -261.04      -4.2742      -4.1833      -4.0934      -4.0046      -3.9121
    r3     -261.56    -261.56    -261.41    -259.11    -252.39      -4.1639      -4.0766      -3.9902      -3.9047      -3.8156
    r4     -252.52    -252.52    -252.45    -250.24       -244      -4.0499      -3.9663      -3.8835      -3.8014      -3.7155
    r5     -244.35    -244.35    -244.35    -242.21    -236.39      -3.9423      -3.8621      -3.7825      -3.7036      -3.6204
    r78    -13.568    -13.568    -13.568    -13.568    -13.555     -0.27317     -0.26107     -0.24974     -0.23893     -0.22857
    r79    -12.209    -12.209    -12.209    -12.209    -12.209     -0.21857     -0.20783     -0.19877     -0.19059     -0.18274
    r80    -10.531    -10.531    -10.531    -10.531    -10.531     -0.16127     -0.15408     -0.14735     -0.14135     -0.13575
    r81    -8.2749    -8.2749    -8.2749    -8.2749    -8.2749     -0.10114    -0.097398     -0.09344    -0.089428    -0.084911
    r82     -4.991     -4.991     -4.991     -4.991     -4.991    -0.044202    -0.041463    -0.039416    -0.038351    -0.036626

xxx TABLE:ev20_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -294.47    -294.03    -291.58     -285.7    -276.56      -4.3618      -4.2675      -4.1743      -4.0824      -3.9914
    r2     -284.93    -284.49    -282.06    -276.25    -267.39      -4.2552      -4.1644      -4.0747      -3.9861      -3.8983
    r3     -275.39    -274.95    -272.56    -266.91    -258.48      -4.1462       -4.059      -3.9728      -3.8875       -3.803
    r4     -265.81     -265.4    -263.16    -257.86    -249.93      -4.0343      -3.9507      -3.8681      -3.7862      -3.7046
    r5     -257.15    -256.77    -254.66    -249.67    -242.18      -3.9287      -3.8486      -3.7691      -3.6904      -3.6115
    r79    -13.561    -13.548     -13.46    -13.233    -12.841     -0.22091     -0.21058     -0.20085     -0.19173     -0.18315
    r80    -12.203    -12.189    -12.101    -11.874    -11.482     -0.16978     -0.16181      -0.1543     -0.14722     -0.14057
    r81    -10.524    -10.511    -10.423    -10.196    -9.8048     -0.11712     -0.11163     -0.10645     -0.10157    -0.096948
    r82    -8.2689    -8.2556    -8.1674    -7.9402    -7.5499    -0.065331    -0.062241    -0.059358    -0.056634    -0.054054
    r83    -4.9861    -4.9727    -4.8846    -4.6573    -4.2682    -0.020967    -0.019972    -0.019038     -0.01816    -0.017336

Differences between Checks in Expected Value and Expected Consumption

mn_V_U_gain_check = ev19_jaeemk_check2 - ev19_jaeemk_check0;
mn_MPC_U_gain_share_check = (ec19_jaeemk_check2 - ec19_jaeemk_check0)./(welf_checks*mp_params('TR'));

1.3 Param Results Define Frames

Define the matrix dimensions names and dimension vector values. Policy and Value Functions share the same ND dimensional structure.

% Grids: 
age_grid = 18:99;
agrid = mp_params('agrid')';
eta_H_grid = mp_params('eta_H_grid')';
eta_S_grid = mp_params('eta_S_grid')';
ar_st_eta_HS_grid = string(cellstr([num2str(eta_H_grid', 'hz=%3.2f;'), num2str(eta_S_grid', 'wz=%3.2f')]));
edu_grid = [0,1];
marry_grid = [0,1];
kids_grid = (1:1:mp_params('n_kidsgrid'))';
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
cl_mp_datasetdesc = {};
cl_mp_datasetdesc{1} = containers.Map({'name', 'labval'}, {'age', age_grid});
cl_mp_datasetdesc{2} = containers.Map({'name', 'labval'}, {'savings', agrid});
cl_mp_datasetdesc{3} = containers.Map({'name', 'labval'}, {'eta', 1:length(eta_H_grid)});
cl_mp_datasetdesc{4} = containers.Map({'name', 'labval'}, {'edu', edu_grid});
cl_mp_datasetdesc{5} = containers.Map({'name', 'labval'}, {'marry', marry_grid});
cl_mp_datasetdesc{6} = containers.Map({'name', 'labval'}, {'kids', kids_grid});

1.4 Analyze Difference in V and C with Check

The difference between V and V with Check, marginal utility gain given the check.

% Generate some Data
mp_support_graph = containers.Map('KeyType', 'char', 'ValueType', 'any');
mp_support_graph('cl_st_xtitle') = {'Savings States, a'};
mp_support_graph('st_legend_loc') = 'eastoutside';
mp_support_graph('bl_graph_logy') = true; % do not log
mp_support_graph('it_legend_select') = 21; % how many shock legends to show
mp_support_graph('cl_colors') = 'jet';

MEAN(MN_V_GAIN_CHECK(A,Z))

Tabulate value and policies along savings and shocks:

% Set
ar_permute = [1,4,5,6,3,2];
% Value Function
st_title = ['MEAN(MN_V_U_GAIN_CHECK(A,Z)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_v = ff_summ_nd_array(st_title, mn_V_U_gain_check, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(A,Z)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group     savings      mean_eta_1    mean_eta_2    mean_eta_3    mean_eta_4    mean_eta_5    mean_eta_6    mean_eta_7    mean_eta_8    mean_eta_9    mean_eta_10    mean_eta_11    mean_eta_12    mean_eta_13    mean_eta_14    mean_eta_15    mean_eta_16    mean_eta_17    mean_eta_18    mean_eta_19    mean_eta_20    mean_eta_21    mean_eta_22    mean_eta_23    mean_eta_24    mean_eta_25    mean_eta_26    mean_eta_27    mean_eta_28    mean_eta_29    mean_eta_30    mean_eta_31    mean_eta_32    mean_eta_33    mean_eta_34    mean_eta_35    mean_eta_36    mean_eta_37    mean_eta_38    mean_eta_39    mean_eta_40    mean_eta_41    mean_eta_42    mean_eta_43    mean_eta_44    mean_eta_45    mean_eta_46    mean_eta_47    mean_eta_48    mean_eta_49    mean_eta_50    mean_eta_51    mean_eta_52    mean_eta_53    mean_eta_54    mean_eta_55    mean_eta_56    mean_eta_57    mean_eta_58    mean_eta_59    mean_eta_60    mean_eta_61    mean_eta_62    mean_eta_63    mean_eta_64    mean_eta_65    mean_eta_66    mean_eta_67    mean_eta_68    mean_eta_69    mean_eta_70    mean_eta_71    mean_eta_72    mean_eta_73    mean_eta_74    mean_eta_75    mean_eta_76    mean_eta_77    mean_eta_78    mean_eta_79    mean_eta_80    mean_eta_81    mean_eta_82    mean_eta_83    mean_eta_84    mean_eta_85    mean_eta_86    mean_eta_87    mean_eta_88    mean_eta_89    mean_eta_90    mean_eta_91    mean_eta_92    mean_eta_93    mean_eta_94    mean_eta_95    mean_eta_96    mean_eta_97    mean_eta_98    mean_eta_99    mean_eta_100    mean_eta_101    mean_eta_102    mean_eta_103    mean_eta_104    mean_eta_105    mean_eta_106    mean_eta_107    mean_eta_108    mean_eta_109    mean_eta_110    mean_eta_111    mean_eta_112    mean_eta_113    mean_eta_114    mean_eta_115    mean_eta_116    mean_eta_117    mean_eta_118    mean_eta_119    mean_eta_120    mean_eta_121    mean_eta_122    mean_eta_123    mean_eta_124    mean_eta_125    mean_eta_126    mean_eta_127    mean_eta_128    mean_eta_129    mean_eta_130    mean_eta_131    mean_eta_132    mean_eta_133    mean_eta_134    mean_eta_135    mean_eta_136    mean_eta_137    mean_eta_138    mean_eta_139    mean_eta_140    mean_eta_141    mean_eta_142    mean_eta_143    mean_eta_144    mean_eta_145    mean_eta_146    mean_eta_147    mean_eta_148    mean_eta_149    mean_eta_150    mean_eta_151    mean_eta_152    mean_eta_153    mean_eta_154    mean_eta_155    mean_eta_156    mean_eta_157    mean_eta_158    mean_eta_159    mean_eta_160    mean_eta_161    mean_eta_162    mean_eta_163    mean_eta_164    mean_eta_165    mean_eta_166    mean_eta_167    mean_eta_168    mean_eta_169    mean_eta_170    mean_eta_171    mean_eta_172    mean_eta_173    mean_eta_174    mean_eta_175    mean_eta_176    mean_eta_177    mean_eta_178    mean_eta_179    mean_eta_180    mean_eta_181    mean_eta_182    mean_eta_183    mean_eta_184    mean_eta_185    mean_eta_186    mean_eta_187    mean_eta_188    mean_eta_189    mean_eta_190    mean_eta_191    mean_eta_192    mean_eta_193    mean_eta_194    mean_eta_195    mean_eta_196    mean_eta_197    mean_eta_198    mean_eta_199    mean_eta_200    mean_eta_201    mean_eta_202    mean_eta_203    mean_eta_204    mean_eta_205    mean_eta_206    mean_eta_207    mean_eta_208    mean_eta_209    mean_eta_210    mean_eta_211    mean_eta_212    mean_eta_213    mean_eta_214    mean_eta_215    mean_eta_216    mean_eta_217    mean_eta_218    mean_eta_219    mean_eta_220    mean_eta_221    mean_eta_222    mean_eta_223    mean_eta_224    mean_eta_225    mean_eta_226    mean_eta_227    mean_eta_228    mean_eta_229    mean_eta_230    mean_eta_231    mean_eta_232    mean_eta_233    mean_eta_234    mean_eta_235    mean_eta_236    mean_eta_237    mean_eta_238    mean_eta_239    mean_eta_240    mean_eta_241    mean_eta_242    mean_eta_243    mean_eta_244    mean_eta_245    mean_eta_246    mean_eta_247    mean_eta_248    mean_eta_249    mean_eta_250    mean_eta_251    mean_eta_252    mean_eta_253    mean_eta_254    mean_eta_255    mean_eta_256    mean_eta_257    mean_eta_258    mean_eta_259    mean_eta_260    mean_eta_261    mean_eta_262    mean_eta_263    mean_eta_264    mean_eta_265    mean_eta_266    mean_eta_267    mean_eta_268    mean_eta_269    mean_eta_270    mean_eta_271    mean_eta_272    mean_eta_273    mean_eta_274    mean_eta_275    mean_eta_276    mean_eta_277    mean_eta_278    mean_eta_279    mean_eta_280    mean_eta_281    mean_eta_282    mean_eta_283    mean_eta_284    mean_eta_285    mean_eta_286    mean_eta_287    mean_eta_288    mean_eta_289    mean_eta_290    mean_eta_291    mean_eta_292    mean_eta_293    mean_eta_294    mean_eta_295    mean_eta_296    mean_eta_297    mean_eta_298    mean_eta_299    mean_eta_300    mean_eta_301    mean_eta_302    mean_eta_303    mean_eta_304    mean_eta_305    mean_eta_306    mean_eta_307    mean_eta_308    mean_eta_309    mean_eta_310    mean_eta_311    mean_eta_312    mean_eta_313    mean_eta_314    mean_eta_315    mean_eta_316    mean_eta_317    mean_eta_318    mean_eta_319    mean_eta_320    mean_eta_321    mean_eta_322    mean_eta_323    mean_eta_324    mean_eta_325    mean_eta_326    mean_eta_327    mean_eta_328    mean_eta_329    mean_eta_330    mean_eta_331    mean_eta_332    mean_eta_333    mean_eta_334    mean_eta_335    mean_eta_336    mean_eta_337    mean_eta_338    mean_eta_339    mean_eta_340    mean_eta_341    mean_eta_342    mean_eta_343    mean_eta_344    mean_eta_345    mean_eta_346    mean_eta_347    mean_eta_348    mean_eta_349    mean_eta_350    mean_eta_351    mean_eta_352    mean_eta_353    mean_eta_354    mean_eta_355    mean_eta_356    mean_eta_357    mean_eta_358    mean_eta_359    mean_eta_360    mean_eta_361    mean_eta_362    mean_eta_363    mean_eta_364    mean_eta_365    mean_eta_366    mean_eta_367    mean_eta_368    mean_eta_369    mean_eta_370    mean_eta_371    mean_eta_372    mean_eta_373    mean_eta_374    mean_eta_375    mean_eta_376    mean_eta_377    mean_eta_378    mean_eta_379    mean_eta_380    mean_eta_381    mean_eta_382    mean_eta_383    mean_eta_384    mean_eta_385    mean_eta_386    mean_eta_387    mean_eta_388    mean_eta_389    mean_eta_390    mean_eta_391    mean_eta_392    mean_eta_393    mean_eta_394    mean_eta_395    mean_eta_396    mean_eta_397    mean_eta_398    mean_eta_399    mean_eta_400    mean_eta_401    mean_eta_402    mean_eta_403    mean_eta_404    mean_eta_405
    _____    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________

      1               0       0.56295       0.52208       0.47698       0.43181       0.38933        0.3507       0.31612       0.28529       0.25787       0.23347        0.21177        0.19245        0.17527        0.15998        0.14636        0.13425        0.12346        0.11385         0.1053       0.097679       0.090873       0.084802       0.079356       0.074493       0.070139       0.066256       0.062786       0.059699       0.056954       0.054491       0.052283       0.050304        0.04854        0.04697        0.04559       0.044361        0.04326       0.042291        0.04142       0.040649       0.039966       0.039354       0.038806       0.038312       0.037869       0.037469       0.037108       0.036785        0.03649       0.036223       0.035983       0.035763       0.035564       0.035384       0.035221       0.035071       0.034936       0.034812       0.034699       0.034597       0.034502       0.034417       0.034338       0.034265       0.034199       0.034138       0.034083       0.034032       0.033985       0.033942       0.033903       0.033867       0.033834       0.033804       0.033776       0.033752       0.033729       0.033708        0.03369       0.033674       0.033661        0.56295        0.52208        0.47698        0.43181        0.38933         0.3507        0.31612        0.28529        0.25787        0.23347        0.21177        0.19245        0.17527        0.15998        0.14636        0.13425        0.12346        0.11385          0.1053        0.097679        0.090873        0.084802        0.079356        0.074493        0.070139        0.066255        0.062783        0.059688        0.056937        0.054469        0.052258        0.050286        0.048519        0.046956        0.045577        0.044343         0.04325        0.042278        0.041409        0.040639        0.039955        0.039346        0.038798        0.038304        0.037863        0.037462        0.037103         0.03678        0.036485        0.036219        0.035978        0.035759         0.03556        0.035381        0.035218        0.035068        0.034933         0.03481        0.034697        0.034595        0.034501        0.034415        0.034336        0.034264        0.034198        0.034137        0.034082        0.034031        0.033984        0.033941        0.033902        0.033866        0.033833        0.033803        0.033776        0.033751        0.033728        0.033708         0.03369        0.033674        0.033661         0.53405         0.49483         0.45177         0.40879         0.36846         0.33188          0.2992         0.27012          0.2443         0.22137         0.20099         0.18289         0.16679         0.15247         0.13973         0.12838         0.11828         0.10928         0.10127        0.094118        0.087726        0.082008        0.076868        0.072269        0.068154        0.064483        0.061193        0.058266        0.055659        0.053318        0.051221        0.049342        0.047661        0.046165        0.044839        0.043655        0.042598         0.04166        0.040819        0.040072        0.039408        0.038814        0.038278        0.037797        0.037364        0.036973         0.03662        0.036303        0.036014        0.035752        0.035515        0.035299        0.035103        0.034926        0.034765        0.034618        0.034485        0.034363        0.034251        0.034151        0.034058        0.033973        0.033895        0.033823        0.033759        0.033699        0.033644        0.033594        0.033548        0.033506        0.033467        0.033432        0.033399        0.033369        0.033342        0.033318        0.033295        0.033275        0.033257        0.033241        0.033228         0.50159         0.46355         0.42168         0.37988         0.34072         0.30528         0.27369         0.24567         0.22087         0.19892         0.17949          0.1623         0.14709         0.13362          0.1217         0.11114          0.1018        0.093522        0.086196        0.079704        0.073935        0.068817        0.064248        0.060191        0.056581        0.053384        0.050543        0.048031        0.045813        0.043836        0.042078        0.040515        0.039124        0.037892        0.036807         0.03584        0.034978        0.034215         0.03353         0.03292        0.032378         0.03189         0.03145        0.031053        0.030696         0.03037        0.030075        0.029808        0.029564        0.029341        0.029139        0.028953        0.028784        0.028629        0.028488        0.028358        0.028239         0.02813         0.02803        0.027938        0.027853        0.027776        0.027705        0.027638        0.027578        0.027522        0.027472        0.027424        0.027381        0.027341        0.027304        0.027271         0.02724        0.027211        0.027185        0.027162         0.02714        0.027121        0.027103        0.027088        0.027076         0.49153         0.45367         0.41201         0.37043          0.3315         0.29629         0.26492         0.23713         0.21255         0.19082         0.17161         0.15462         0.13961         0.12634         0.11461         0.10424        0.095081        0.086982        0.079825        0.073497        0.067886         0.06292        0.058498        0.054582        0.051108         0.04804        0.045322        0.042927        0.040822        0.038952        0.037297        0.035831        0.034532        0.033386        0.032382        0.031492        0.030702        0.030006        0.029385        0.028833        0.028346         0.02791        0.027518        0.027165        0.026848         0.02656        0.026301        0.026067        0.025852        0.025658        0.025481        0.025319        0.025171        0.025037        0.024914        0.024801        0.024698        0.024603        0.024516        0.024437        0.024363        0.024296        0.024234        0.024176        0.024124        0.024075         0.02403        0.023989        0.023951        0.023916        0.023884        0.023854        0.023827        0.023802        0.023779        0.023758        0.023739        0.023722        0.023707        0.023694        0.023682 
      2      0.00051498       0.56295       0.52208       0.47698       0.43181       0.38933        0.3507       0.31612       0.28529       0.25787       0.23347        0.21176        0.19245        0.17526        0.15997        0.14635        0.13423        0.12345        0.11385         0.1053       0.097676       0.090868       0.084794       0.079348       0.074483        0.07013       0.066248       0.062778       0.059692       0.056947       0.054486       0.052279         0.0503       0.048537       0.046967       0.045587       0.044358       0.043258       0.042289       0.041418       0.040648       0.039964       0.039353       0.038805       0.038311       0.037868       0.037468       0.037108       0.036784        0.03649       0.036223       0.035982       0.035763       0.035564       0.035384       0.035221       0.035071       0.034936       0.034812       0.034699       0.034597       0.034502       0.034417       0.034338       0.034265       0.034199       0.034138       0.034083       0.034032       0.033985       0.033942       0.033903       0.033867       0.033834       0.033804       0.033776       0.033752       0.033729       0.033708        0.03369       0.033674       0.033661        0.56295        0.52208        0.47698        0.43181        0.38933         0.3507        0.31612        0.28529        0.25787        0.23347        0.21176        0.19245        0.17526        0.15997        0.14635        0.13423        0.12345        0.11385          0.1053        0.097676        0.090868        0.084794        0.079348        0.074483         0.07013        0.066247        0.062775        0.059681         0.05693        0.054464        0.052253        0.050282        0.048516        0.046953        0.045575        0.044341        0.043248        0.042276        0.041407        0.040638        0.039954        0.039345        0.038797        0.038304        0.037862        0.037462        0.037102        0.036779        0.036485        0.036218        0.035978        0.035759         0.03556        0.035381        0.035218        0.035068        0.034933         0.03481        0.034697        0.034595        0.034501        0.034415        0.034336        0.034264        0.034198        0.034137        0.034082        0.034031        0.033984        0.033941        0.033902        0.033866        0.033833        0.033803        0.033776        0.033751        0.033728        0.033708         0.03369        0.033674        0.033661         0.53391          0.4947         0.45165         0.40867         0.36836         0.33178          0.2991         0.27003         0.24421         0.22128         0.20091          0.1828         0.16671          0.1524         0.13967         0.12832         0.11822         0.10923         0.10122         0.09408        0.087691        0.081974        0.076836        0.072236        0.068123        0.064453        0.061166        0.058241        0.055636        0.053298        0.051203        0.049325        0.047645        0.046151        0.044826        0.043643        0.042587        0.041649        0.040808        0.040061        0.039398        0.038804        0.038269        0.037788        0.037356        0.036964        0.036612        0.036294        0.036005        0.035743        0.035507        0.035291        0.035095        0.034918        0.034757         0.03461        0.034477        0.034355        0.034243        0.034143         0.03405        0.033965        0.033887        0.033816        0.033751        0.033691        0.033637        0.033586         0.03354        0.033498        0.033459        0.033424        0.033391        0.033362        0.033334         0.03331        0.033287        0.033267        0.033249        0.033233         0.03322         0.50158         0.46354         0.42167         0.37988         0.34072         0.30527         0.27368         0.24567         0.22086         0.19891         0.17948         0.16229         0.14707          0.1336         0.12168         0.11113         0.10178        0.093511        0.086187        0.079696        0.073926        0.068805        0.064235        0.060177        0.056569        0.053372         0.05053         0.04802        0.045803        0.043827         0.04207        0.040508        0.039117        0.037886        0.036801        0.035835        0.034973        0.034209        0.033525        0.032915        0.032373        0.031886        0.031446        0.031049        0.030692        0.030366        0.030071        0.029805         0.02956        0.029338        0.029135         0.02895         0.02878        0.028626        0.028485        0.028354        0.028236        0.028127        0.028026        0.027935         0.02785        0.027773        0.027702        0.027635        0.027575        0.027519        0.027468        0.027421        0.027378        0.027338        0.027301        0.027268        0.027237        0.027208        0.027182        0.027159        0.027137        0.027118          0.0271        0.027085        0.027073         0.49153         0.45367           0.412         0.37043          0.3315         0.29629         0.26492         0.23713         0.21255         0.19082          0.1716         0.15462          0.1396         0.12633          0.1146         0.10423        0.095071        0.086975        0.079821        0.073493        0.067881        0.062913        0.058489        0.054572        0.051099        0.048032        0.045313         0.04292        0.040815        0.038947        0.037292        0.035827        0.034528        0.033383         0.03238         0.03149          0.0307        0.030004        0.029383        0.028832        0.028345        0.027909        0.027516        0.027164        0.026847        0.026559          0.0263        0.026066        0.025852        0.025657         0.02548        0.025319        0.025171        0.025037        0.024914        0.024801        0.024698        0.024603        0.024516        0.024437        0.024363        0.024296        0.024233        0.024176        0.024123        0.024074         0.02403        0.023988        0.023951        0.023916        0.023883        0.023854        0.023827        0.023802        0.023779        0.023758        0.023739        0.023722        0.023707        0.023693        0.023682 
      3       0.0041199       0.56193       0.52054         0.475       0.42987       0.38768       0.34937       0.31503        0.2844       0.25712       0.23284        0.21124        0.19202        0.17491        0.15967         0.1461        0.13402        0.12326        0.11368        0.10514       0.097521        0.09072       0.084655        0.07922       0.074372       0.070032       0.066165       0.062706       0.059635       0.056895       0.054441       0.052238       0.050261       0.048504       0.046937       0.045562       0.044335       0.043238       0.042272       0.041404       0.040636       0.039954       0.039343       0.038797       0.038304       0.037862       0.037463       0.037103        0.03678       0.036485       0.036219       0.035979        0.03576       0.035561       0.035382       0.035218       0.035069       0.034934        0.03481       0.034697       0.034595         0.0345       0.034415       0.034336       0.034263       0.034198       0.034137       0.034081        0.03403       0.033984       0.033941       0.033901       0.033866       0.033833       0.033803       0.033775        0.03375       0.033727       0.033707       0.033689       0.033673        0.03366        0.56193        0.52054          0.475        0.42987        0.38768        0.34937        0.31503         0.2844        0.25712        0.23284        0.21124        0.19202        0.17491        0.15967         0.1461        0.13402        0.12326        0.11368         0.10514        0.097521         0.09072        0.084655         0.07922        0.074372        0.070032        0.066164        0.062702        0.059623        0.056877        0.054417        0.052213        0.050244        0.048481        0.046926        0.045547        0.044317        0.043228        0.042258        0.041393        0.040625        0.039943        0.039335        0.038788        0.038297        0.037856        0.037456        0.037097        0.036775         0.03648        0.036215        0.035974        0.035756        0.035557        0.035378        0.035215        0.035066        0.034931        0.034808        0.034695        0.034593        0.034499        0.034413        0.034334        0.034262        0.034196        0.034136         0.03408        0.034029        0.033983         0.03394        0.033901        0.033865        0.033832        0.033802        0.033775         0.03375        0.033727        0.033707        0.033688        0.033673        0.033659         0.53202         0.49235         0.44891         0.40601         0.36603          0.3298         0.29738         0.26852         0.24287         0.22008         0.19985         0.18186         0.16588         0.15166         0.13901         0.12775         0.11772         0.10878          0.1008        0.093679         0.08732        0.081636        0.076534        0.071968        0.067878        0.064226        0.060956        0.058056        0.055466        0.053147        0.051067        0.049197        0.047525        0.046041        0.044724        0.043549        0.042498        0.041565         0.04073        0.039986        0.039326        0.038734        0.038201        0.037722        0.037291        0.036901        0.036549        0.036233        0.035944        0.035683        0.035447        0.035232        0.035036         0.03486        0.034699        0.034552        0.034419        0.034297        0.034186        0.034085        0.033992        0.033908         0.03383        0.033759        0.033694        0.033634         0.03358        0.033529        0.033483        0.033441        0.033402        0.033367        0.033335        0.033305        0.033278        0.033253        0.033231         0.03321        0.033192        0.033177        0.033164          0.5005         0.46194         0.41963         0.37788         0.33902         0.30389         0.27255         0.24472         0.22007         0.19824         0.17892         0.16182         0.14668         0.13327         0.12139         0.11087         0.10156        0.093308        0.085997        0.079508        0.073746        0.068635        0.064078        0.060037        0.056442        0.053261        0.050432        0.047937        0.045726        0.043758        0.042007        0.040446         0.03906        0.037835        0.036752        0.035789         0.03493         0.03417        0.033489        0.032881        0.032341        0.031855        0.031416        0.031021        0.030664        0.030339        0.030045        0.029779        0.029535        0.029313        0.029111        0.028926        0.028756        0.028602        0.028461        0.028331        0.028213        0.028104        0.028003        0.027912        0.027827         0.02775        0.027679        0.027613        0.027553        0.027497        0.027446        0.027398        0.027355        0.027315        0.027279        0.027245        0.027214        0.027186         0.02716        0.027136        0.027115        0.027095        0.027078        0.027063         0.02705          0.4905         0.45212         0.41002         0.36848         0.32985         0.29495         0.26383         0.23623          0.2118         0.19019         0.17108         0.15419         0.13925         0.12603         0.11435         0.10402         0.09488        0.086803        0.079661        0.073335         0.06773        0.062771        0.058359        0.054459        0.050998        0.047946         0.04524         0.04286        0.040762        0.038901        0.037252        0.035788        0.034494        0.033354        0.032352        0.031465        0.030679        0.029986        0.029367        0.028818        0.028333        0.027898        0.027507        0.027156         0.02684        0.026552        0.026293         0.02606        0.025846        0.025652        0.025475        0.025314        0.025166        0.025032         0.02491        0.024797        0.024694        0.024599        0.024512        0.024433        0.024359        0.024292         0.02423        0.024172         0.02412        0.024071        0.024027        0.023985        0.023947        0.023912         0.02388        0.023851        0.023823        0.023798        0.023776        0.023755        0.023736        0.023719        0.023703         0.02369        0.023679 
      4        0.013905       0.46781        0.4349       0.40085       0.36671       0.33426       0.30434       0.27716       0.25264       0.23064       0.21092        0.19318        0.17719        0.16279        0.14983        0.13816        0.12762        0.11808        0.10946         0.1017       0.094707       0.088438       0.082794       0.077711       0.073143       0.069038       0.065348       0.062037       0.059083       0.056429       0.054044       0.051903       0.049969       0.048247        0.04671       0.045355       0.044142       0.043062       0.042103       0.041244       0.040484       0.039808       0.039202       0.038661       0.038172       0.037732       0.037335       0.036977       0.036656       0.036363       0.036098       0.035859       0.035641       0.035443       0.035264       0.035102       0.034953       0.034818       0.034695       0.034582        0.03448       0.034386       0.034301       0.034222       0.034149       0.034084       0.034023       0.033968       0.033917        0.03387       0.033827       0.033788       0.033752       0.033719       0.033689       0.033662       0.033637       0.033614       0.033594       0.033575        0.03356       0.033546        0.46781         0.4349        0.40085        0.36671        0.33426        0.30434        0.27716        0.25264        0.23064        0.21092        0.19318        0.17719        0.16279        0.14983        0.13816        0.12762        0.11808        0.10946          0.1017        0.094707        0.088438        0.082794        0.077711        0.073143        0.069037        0.065346         0.06203        0.059069        0.056407        0.054021         0.05188        0.049954        0.048223        0.046701        0.045337        0.044126        0.043051         0.04209        0.041235        0.040473        0.039798        0.039195        0.038652        0.038164        0.037726        0.037328        0.036972        0.036651        0.036358        0.036094        0.035855        0.035638         0.03544        0.035261        0.035099         0.03495        0.034815        0.034692         0.03458        0.034478        0.034384        0.034299         0.03422        0.034148        0.034082        0.034022        0.033966        0.033916        0.033869        0.033826        0.033787        0.033751        0.033719        0.033689        0.033661        0.033636        0.033614        0.033593        0.033575        0.033559        0.033546         0.43586         0.40478         0.37294         0.34114         0.31101         0.28327         0.25811         0.23545         0.21515         0.19698         0.18065         0.16594          0.1527          0.1408         0.13008         0.12039         0.11163         0.10371        0.096571         0.09015        0.084376        0.079172        0.074475        0.070242        0.066437        0.063004        0.059918        0.057154         0.05467        0.052441        0.050438        0.048626        0.047008        0.045569        0.044281        0.043134        0.042107         0.04119         0.04037        0.039638        0.038989        0.038405         0.03788        0.037407         0.03698        0.036594        0.036246        0.035932        0.035646        0.035387        0.035152        0.034939        0.034744        0.034569        0.034409        0.034262         0.03413        0.034009        0.033898        0.033797        0.033705        0.033621        0.033543        0.033472        0.033407        0.033347        0.033293        0.033243        0.033197        0.033155        0.033116        0.033081        0.033048        0.033019        0.032992        0.032967        0.032945        0.032924        0.032906        0.032891        0.032878         0.40623         0.37614         0.34533         0.31457         0.28546         0.25872         0.23454         0.21283         0.19346         0.17619         0.16074         0.14688         0.13445         0.12332         0.11335         0.10437        0.096287           0.089        0.082466        0.076608         0.07138        0.066692        0.062489         0.05873        0.055372         0.05237        0.049691        0.047316        0.045193        0.043299        0.041612        0.040094        0.038742        0.037549        0.036484        0.035538        0.034694        0.033943        0.033271        0.032671        0.032138        0.031657        0.031223        0.030832        0.030477        0.030155        0.029863        0.029598        0.029356        0.029135        0.028935        0.028751        0.028582        0.028429        0.028288        0.028159        0.028041        0.027932        0.027832        0.027741        0.027657         0.02758        0.027509        0.027443        0.027383        0.027327        0.027276        0.027229        0.027186        0.027146        0.027109        0.027076        0.027045        0.027017        0.026991        0.026967        0.026946        0.026926        0.026909        0.026894        0.026881         0.39637         0.36647         0.33585         0.30531         0.27642         0.24991         0.22595         0.20446         0.18531         0.16825         0.15301         0.13935         0.12712         0.11618          0.1064        0.097603        0.089694        0.082579        0.076211        0.070514         0.06544        0.060902        0.056842        0.053221        0.049996        0.047121        0.044563        0.042303        0.040292        0.038504        0.036918        0.035496        0.034235        0.033126        0.032142        0.031271        0.030499        0.029815        0.029205        0.028663        0.028184        0.027754        0.027367        0.027019        0.026705        0.026421        0.026164        0.025932        0.025719        0.025526        0.025351        0.025191        0.025044        0.024911        0.024789        0.024676        0.024573        0.024479        0.024392        0.024313         0.02424        0.024173        0.024111        0.024053        0.024001        0.023952        0.023908        0.023866        0.023829        0.023794        0.023762        0.023732        0.023705         0.02368        0.023657        0.023636        0.023617          0.0236        0.023585        0.023572        0.023561 
      5        0.032959       0.36797       0.34609       0.32201       0.29764       0.27416       0.25219       0.23194       0.21339       0.19647       0.18106        0.16704        0.15429         0.1427        0.13217        0.12263          0.114         0.1062       0.099117       0.092688       0.086852       0.081557       0.076782       0.072449       0.068526        0.06497       0.061745       0.058839       0.056202       0.053819       0.051667       0.049711       0.047951       0.046357       0.044945        0.04368       0.042541       0.041535       0.040621       0.039803       0.039075       0.038422       0.037837        0.03731       0.036835       0.036406       0.036016       0.035666        0.03535       0.035061         0.0348       0.034564       0.034348       0.034152       0.033975       0.033813       0.033666       0.033532       0.033409       0.033298       0.033196       0.033102       0.033017       0.032939       0.032867       0.032801       0.032741       0.032685       0.032635       0.032588       0.032545       0.032506       0.032471       0.032438       0.032408        0.03238       0.032356       0.032333       0.032312       0.032294       0.032278       0.032265        0.36797        0.34609        0.32201        0.29764        0.27416        0.25219        0.23194        0.21339        0.19647        0.18106        0.16704        0.15429         0.1427        0.13217        0.12263          0.114         0.1062       0.099117        0.092688        0.086852        0.081557        0.076782        0.072449        0.068526        0.064969        0.061739        0.058825        0.056179        0.053796        0.051643        0.049696        0.047926        0.046344         0.04493        0.043661        0.042531         0.04152        0.040608        0.039794        0.039063        0.038412        0.037829        0.037301        0.036828        0.036398         0.03601         0.03566        0.035344        0.035057        0.034796        0.034559        0.034344        0.034149        0.033972         0.03381        0.033663        0.033529        0.033407        0.033296        0.033194        0.033101        0.033016        0.032937        0.032865          0.0328        0.032739        0.032684        0.032633        0.032587        0.032545        0.032506         0.03247        0.032437        0.032407         0.03238        0.032355        0.032332        0.032312        0.032294        0.032278        0.032265         0.33227         0.31241         0.29072         0.26886         0.24787         0.22825         0.21017         0.19364         0.17858         0.16487         0.15242         0.14109          0.1308         0.12145         0.11298         0.10531        0.098364        0.092062        0.086332        0.081115        0.076373        0.072083        0.068183        0.064647        0.061434        0.058518        0.055889        0.053502        0.051345        0.049395        0.047616        0.046006        0.044555        0.043252        0.042081        0.041027        0.040083        0.039229        0.038461        0.037771        0.037154        0.036597        0.036094        0.035639        0.035226        0.034852        0.034514        0.034207        0.033928        0.033674        0.033444        0.033234        0.033043        0.032869        0.032711        0.032567        0.032436        0.032316        0.032206        0.032106        0.032014         0.03193        0.031853        0.031782        0.031718        0.031658        0.031604        0.031554        0.031509        0.031467        0.031428        0.031393        0.031361        0.031331        0.031304         0.03128        0.031257        0.031237        0.031219        0.031203         0.03119         0.30608         0.28705         0.26621         0.24522         0.22509         0.20632         0.18907         0.17334         0.15906         0.14612         0.13439         0.12377         0.11416         0.10547        0.097629        0.090575        0.084225        0.078485        0.073291        0.068592        0.064342        0.060527        0.057077        0.053968        0.051162        0.048628        0.046357        0.044305         0.04246        0.040806        0.039306        0.037955        0.036745        0.035665        0.034697        0.033829        0.033054        0.032352         0.03172        0.031153        0.030644        0.030183        0.029765        0.029388        0.029043         0.02873        0.028445        0.028185        0.027948        0.027731        0.027533        0.027352        0.027186        0.027034        0.026895        0.026766         0.02665        0.026542        0.026443        0.026352        0.026268        0.026192        0.026121        0.026055        0.025995         0.02594        0.025889        0.025842        0.025799        0.025759        0.025723        0.025689        0.025658         0.02563        0.025604        0.025581        0.025559         0.02554        0.025523        0.025508        0.025495         0.29651         0.27764           0.257         0.23622          0.2163         0.19774         0.18071         0.16519         0.15112         0.13838         0.12685         0.11643         0.10701        0.098502        0.090846         0.08397        0.077792        0.072218        0.067186        0.062643        0.058543        0.054874        0.051565        0.048591        0.045914        0.043504        0.041352        0.039414        0.037678        0.036127        0.034727         0.03347        0.032348        0.031352        0.030463        0.029668        0.028964        0.028328        0.027757        0.027247        0.026792         0.02638        0.026009        0.025675         0.02537        0.025094        0.024844        0.024616        0.024409        0.024219        0.024047        0.023889        0.023744        0.023612        0.023491        0.023379        0.023278        0.023184        0.023098         0.02302        0.022946         0.02288        0.022818        0.022761        0.022709         0.02266        0.022616        0.022575        0.022537        0.022502         0.02247        0.022441        0.022414        0.022389        0.022366        0.022345        0.022326        0.022309        0.022294        0.022281         0.02227 
      6        0.064373       0.29936       0.28324       0.26551       0.24731       0.22949       0.21256       0.19668       0.18198       0.16845       0.15601        0.14461        0.13419        0.12468          0.116        0.10809        0.10089       0.094314       0.088347       0.082929       0.078028       0.073572       0.069541       0.065869       0.062524       0.059482       0.056711       0.054182       0.051879       0.049796        0.04789       0.046161       0.044577       0.043151        0.04186       0.040692       0.039652       0.038704        0.03785       0.037084       0.036396       0.035775       0.035219       0.034714       0.034258       0.033844       0.033468        0.03313       0.032821       0.032541       0.032286       0.032054       0.031842       0.031651       0.031475       0.031316       0.031171       0.031038       0.030916       0.030806       0.030705       0.030612       0.030528       0.030449       0.030378       0.030313       0.030252       0.030198       0.030147       0.030101       0.030058       0.030019       0.029984       0.029951       0.029921       0.029894       0.029869       0.029847       0.029826       0.029808       0.029792       0.029779        0.29639        0.28051        0.26311        0.24527        0...

% Consumption
st_title = ['MEAN(MN_MPC_U_GAIN_CHECK(A,Z)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_c = ff_summ_nd_array(st_title, mn_MPC_U_gain_share_check, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(A,Z)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group     savings      mean_eta_1    mean_eta_2    mean_eta_3    mean_eta_4    mean_eta_5    mean_eta_6    mean_eta_7    mean_eta_8    mean_eta_9    mean_eta_10    mean_eta_11    mean_eta_12    mean_eta_13    mean_eta_14    mean_eta_15    mean_eta_16    mean_eta_17    mean_eta_18    mean_eta_19    mean_eta_20    mean_eta_21    mean_eta_22    mean_eta_23    mean_eta_24    mean_eta_25    mean_eta_26    mean_eta_27    mean_eta_28    mean_eta_29    mean_eta_30    mean_eta_31    mean_eta_32    mean_eta_33    mean_eta_34    mean_eta_35    mean_eta_36    mean_eta_37    mean_eta_38    mean_eta_39    mean_eta_40    mean_eta_41    mean_eta_42    mean_eta_43    mean_eta_44    mean_eta_45    mean_eta_46    mean_eta_47    mean_eta_48    mean_eta_49    mean_eta_50    mean_eta_51    mean_eta_52    mean_eta_53    mean_eta_54    mean_eta_55    mean_eta_56    mean_eta_57    mean_eta_58    mean_eta_59    mean_eta_60    mean_eta_61    mean_eta_62    mean_eta_63    mean_eta_64    mean_eta_65    mean_eta_66    mean_eta_67    mean_eta_68    mean_eta_69    mean_eta_70    mean_eta_71    mean_eta_72    mean_eta_73    mean_eta_74    mean_eta_75    mean_eta_76    mean_eta_77    mean_eta_78    mean_eta_79    mean_eta_80    mean_eta_81    mean_eta_82    mean_eta_83    mean_eta_84    mean_eta_85    mean_eta_86    mean_eta_87    mean_eta_88    mean_eta_89    mean_eta_90    mean_eta_91    mean_eta_92    mean_eta_93    mean_eta_94    mean_eta_95    mean_eta_96    mean_eta_97    mean_eta_98    mean_eta_99    mean_eta_100    mean_eta_101    mean_eta_102    mean_eta_103    mean_eta_104    mean_eta_105    mean_eta_106    mean_eta_107    mean_eta_108    mean_eta_109    mean_eta_110    mean_eta_111    mean_eta_112    mean_eta_113    mean_eta_114    mean_eta_115    mean_eta_116    mean_eta_117    mean_eta_118    mean_eta_119    mean_eta_120    mean_eta_121    mean_eta_122    mean_eta_123    mean_eta_124    mean_eta_125    mean_eta_126    mean_eta_127    mean_eta_128    mean_eta_129    mean_eta_130    mean_eta_131    mean_eta_132    mean_eta_133    mean_eta_134    mean_eta_135    mean_eta_136    mean_eta_137    mean_eta_138    mean_eta_139    mean_eta_140    mean_eta_141    mean_eta_142    mean_eta_143    mean_eta_144    mean_eta_145    mean_eta_146    mean_eta_147    mean_eta_148    mean_eta_149    mean_eta_150    mean_eta_151    mean_eta_152    mean_eta_153    mean_eta_154    mean_eta_155    mean_eta_156    mean_eta_157    mean_eta_158    mean_eta_159    mean_eta_160    mean_eta_161    mean_eta_162    mean_eta_163    mean_eta_164    mean_eta_165    mean_eta_166    mean_eta_167    mean_eta_168    mean_eta_169    mean_eta_170    mean_eta_171    mean_eta_172    mean_eta_173    mean_eta_174    mean_eta_175    mean_eta_176    mean_eta_177    mean_eta_178    mean_eta_179    mean_eta_180    mean_eta_181    mean_eta_182    mean_eta_183    mean_eta_184    mean_eta_185    mean_eta_186    mean_eta_187    mean_eta_188    mean_eta_189    mean_eta_190    mean_eta_191    mean_eta_192    mean_eta_193    mean_eta_194    mean_eta_195    mean_eta_196    mean_eta_197    mean_eta_198    mean_eta_199    mean_eta_200    mean_eta_201    mean_eta_202    mean_eta_203    mean_eta_204    mean_eta_205    mean_eta_206    mean_eta_207    mean_eta_208    mean_eta_209    mean_eta_210    mean_eta_211    mean_eta_212    mean_eta_213    mean_eta_214    mean_eta_215    mean_eta_216    mean_eta_217    mean_eta_218    mean_eta_219    mean_eta_220    mean_eta_221    mean_eta_222    mean_eta_223    mean_eta_224    mean_eta_225    mean_eta_226    mean_eta_227    mean_eta_228    mean_eta_229    mean_eta_230    mean_eta_231    mean_eta_232    mean_eta_233    mean_eta_234    mean_eta_235    mean_eta_236    mean_eta_237    mean_eta_238    mean_eta_239    mean_eta_240    mean_eta_241    mean_eta_242    mean_eta_243    mean_eta_244    mean_eta_245    mean_eta_246    mean_eta_247    mean_eta_248    mean_eta_249    mean_eta_250    mean_eta_251    mean_eta_252    mean_eta_253    mean_eta_254    mean_eta_255    mean_eta_256    mean_eta_257    mean_eta_258    mean_eta_259    mean_eta_260    mean_eta_261    mean_eta_262    mean_eta_263    mean_eta_264    mean_eta_265    mean_eta_266    mean_eta_267    mean_eta_268    mean_eta_269    mean_eta_270    mean_eta_271    mean_eta_272    mean_eta_273    mean_eta_274    mean_eta_275    mean_eta_276    mean_eta_277    mean_eta_278    mean_eta_279    mean_eta_280    mean_eta_281    mean_eta_282    mean_eta_283    mean_eta_284    mean_eta_285    mean_eta_286    mean_eta_287    mean_eta_288    mean_eta_289    mean_eta_290    mean_eta_291    mean_eta_292    mean_eta_293    mean_eta_294    mean_eta_295    mean_eta_296    mean_eta_297    mean_eta_298    mean_eta_299    mean_eta_300    mean_eta_301    mean_eta_302    mean_eta_303    mean_eta_304    mean_eta_305    mean_eta_306    mean_eta_307    mean_eta_308    mean_eta_309    mean_eta_310    mean_eta_311    mean_eta_312    mean_eta_313    mean_eta_314    mean_eta_315    mean_eta_316    mean_eta_317    mean_eta_318    mean_eta_319    mean_eta_320    mean_eta_321    mean_eta_322    mean_eta_323    mean_eta_324    mean_eta_325    mean_eta_326    mean_eta_327    mean_eta_328    mean_eta_329    mean_eta_330    mean_eta_331    mean_eta_332    mean_eta_333    mean_eta_334    mean_eta_335    mean_eta_336    mean_eta_337    mean_eta_338    mean_eta_339    mean_eta_340    mean_eta_341    mean_eta_342    mean_eta_343    mean_eta_344    mean_eta_345    mean_eta_346    mean_eta_347    mean_eta_348    mean_eta_349    mean_eta_350    mean_eta_351    mean_eta_352    mean_eta_353    mean_eta_354    mean_eta_355    mean_eta_356    mean_eta_357    mean_eta_358    mean_eta_359    mean_eta_360    mean_eta_361    mean_eta_362    mean_eta_363    mean_eta_364    mean_eta_365    mean_eta_366    mean_eta_367    mean_eta_368    mean_eta_369    mean_eta_370    mean_eta_371    mean_eta_372    mean_eta_373    mean_eta_374    mean_eta_375    mean_eta_376    mean_eta_377    mean_eta_378    mean_eta_379    mean_eta_380    mean_eta_381    mean_eta_382    mean_eta_383    mean_eta_384    mean_eta_385    mean_eta_386    mean_eta_387    mean_eta_388    mean_eta_389    mean_eta_390    mean_eta_391    mean_eta_392    mean_eta_393    mean_eta_394    mean_eta_395    mean_eta_396    mean_eta_397    mean_eta_398    mean_eta_399    mean_eta_400    mean_eta_401    mean_eta_402    mean_eta_403    mean_eta_404    mean_eta_405
    _____    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________

      1               0     0.81275       0.81268       0.81262       0.81251       0.81229       0.81192       0.81144       0.81092       0.81047        0.81017        0.81011        0.81038        0.81108        0.81226         0.8138        0.81538        0.81659        0.81719        0.81719        0.81644         0.8146          0.812        0.80816        0.80271         0.7965        0.78949        0.78174        0.77388        0.76593        0.75842        0.75085        0.74253        0.73442        0.72645        0.71873        0.71053        0.70201        0.69347        0.68462        0.67566        0.66662         0.6575        0.64821        0.63854        0.62851        0.61843        0.60845        0.59832        0.58817        0.57847        0.56919         0.5599        0.55094        0.54232        0.53372        0.52562        0.51752        0.50969        0.50202        0.49472        0.48741        0.47969        0.47305        0.46662        0.46003        0.45369        0.44762         0.4418         0.4366        0.43148        0.42698        0.42304        0.41952        0.41633        0.41373        0.41122        0.40872        0.40648        0.40414        0.40197        0.40025        0.81275        0.81268        0.81262        0.81251        0.81229        0.81192        0.81144        0.81092        0.81047        0.81017        0.81011        0.81038        0.81108        0.81226         0.8138        0.81538        0.81659        0.81719        0.81719         0.81644          0.8146           0.812         0.80816         0.80271          0.7965         0.78956         0.78171         0.77356         0.76638         0.75853         0.75031          0.7424         0.73429         0.72624         0.71837         0.71005          0.7018         0.69315         0.68441         0.67558         0.66638          0.6573         0.64805         0.63821         0.62826         0.61826         0.60811         0.59789         0.58792         0.57832         0.56882         0.55945         0.55057          0.5419         0.53322         0.52518         0.51687         0.50916         0.50147         0.49415         0.48651         0.47913          0.4725         0.46579         0.45929         0.45273         0.44673         0.44107          0.4357         0.43078         0.42653         0.42253         0.41906         0.41613         0.41338         0.41099         0.40859          0.40636          0.4039         0.40193         0.40025        0.80883         0.80769         0.80686         0.80639         0.80624         0.80633         0.80656         0.80696         0.80743         0.80791         0.80845         0.80901          0.8097         0.81046          0.8112         0.81171         0.81166         0.81133         0.81064          0.8092         0.80655         0.80302         0.79854         0.79309          0.7877         0.78216         0.77604         0.76953         0.76229         0.75422         0.74556           0.737         0.72876         0.72071         0.71272         0.70468         0.69641         0.68788         0.67904         0.66988          0.6606         0.65119         0.64159         0.63164          0.6216         0.61152         0.60151         0.59151         0.58146         0.57141         0.56156         0.55179         0.54221         0.53318         0.52427         0.51592         0.50766          0.4998         0.49212         0.48466         0.47708          0.4696         0.46285         0.45658          0.4505         0.44461         0.43948         0.43489         0.43067          0.4265         0.42272         0.41956         0.41678         0.41423         0.41178         0.40945         0.40705          0.40474         0.40279         0.40092         0.39955        0.62457         0.62348         0.62258         0.62195          0.6216         0.62145         0.62142         0.62142         0.62144         0.62146         0.62147         0.62147          0.6214         0.62123         0.62089         0.62032          0.6194         0.61805         0.61621         0.61361          0.6099         0.60561         0.60055         0.59467         0.58896         0.58321         0.57706         0.57071         0.56411         0.55728         0.55015         0.54311         0.53596         0.52903         0.52239         0.51552         0.50852         0.50139         0.49412         0.48654         0.47878         0.47101         0.46327         0.45545         0.44767         0.43996         0.43242         0.42506         0.41783          0.4109         0.40424         0.39773         0.39163           0.386         0.38048         0.37564         0.37084         0.36661         0.36258         0.35889         0.35529          0.3518         0.34888         0.34631         0.34381         0.34152         0.33945         0.33755         0.33573         0.33382         0.33205         0.33035         0.32877         0.32729         0.32597         0.32482         0.32359           0.3224         0.32135         0.32039         0.31971        0.56794         0.56709         0.56636         0.56586          0.5656         0.56554         0.56558         0.56569         0.56582         0.56597         0.56614          0.5663         0.56642         0.56646         0.56635         0.56601         0.56533         0.56421          0.5626         0.56022         0.55672         0.55263         0.54778          0.5421         0.53659         0.53103         0.52509         0.51893         0.51253         0.50594         0.49909         0.49238          0.4856         0.47905         0.47279         0.46631         0.45971           0.453         0.44615         0.43902         0.43173         0.42445         0.41717         0.40981         0.40253         0.39534         0.38834         0.38154         0.37483         0.36846         0.36238         0.35646         0.35093         0.34589         0.34102         0.33682         0.33265         0.32907         0.32569         0.32266         0.31971         0.31686         0.31456         0.31259         0.31065         0.30888         0.30735         0.30599         0.30472         0.30335         0.30209         0.30087          0.2998         0.29877         0.29782         0.29705         0.29623          0.29545         0.29477         0.29417         0.29379  
      2      0.00051498     0.81275       0.81268       0.81262       0.81251       0.81229       0.81192       0.81144       0.81092       0.81047        0.81017         0.8101        0.81037        0.81107        0.81225         0.8138        0.81538        0.81659        0.81719        0.81717        0.81641        0.81453        0.81197        0.80811        0.80266        0.79652        0.78949        0.78169         0.7738        0.76579        0.75831        0.75073        0.74238        0.73432        0.72638        0.71874        0.71049        0.70202        0.69341        0.68454        0.67555        0.66659        0.65743        0.64821        0.63847        0.62845        0.61838        0.60841        0.59824        0.58804        0.57837         0.5691        0.55982        0.55089        0.54228        0.53369        0.52561        0.51749        0.50966        0.50196        0.49467        0.48736        0.47966        0.47305        0.46662        0.46001        0.45366        0.44762        0.44178        0.43658        0.43148        0.42697        0.42303        0.41951        0.41633        0.41373        0.41122        0.40871        0.40648        0.40413        0.40196        0.40024        0.81275        0.81268        0.81262        0.81251        0.81229        0.81192        0.81144        0.81092        0.81047        0.81017         0.8101        0.81037        0.81107        0.81225         0.8138        0.81538        0.81659        0.81719        0.81717         0.81641         0.81453         0.81197         0.80811         0.80266         0.79652         0.78956         0.78166         0.77349         0.76627          0.7584         0.75017         0.74226         0.73419         0.72618         0.71837         0.71002         0.70181         0.69308         0.68434         0.67546         0.66635         0.65723         0.64803         0.63814         0.62819         0.61821         0.60808         0.59781         0.58779         0.57821         0.56872         0.55937         0.55052         0.54188         0.53318         0.52517         0.51684         0.50912         0.50141          0.4941         0.48646          0.4791          0.4725         0.46578         0.45927         0.45271         0.44672         0.44106         0.43568         0.43076         0.42651         0.42251         0.41905         0.41612         0.41338         0.41098         0.40858          0.40635         0.40389         0.40193         0.40025        0.80853         0.80736         0.80652         0.80605          0.8059         0.80598         0.80621         0.80661         0.80706         0.80753         0.80805         0.80862         0.80931         0.81008         0.81081         0.81133         0.81129         0.81094         0.81022         0.80877         0.80614         0.80266         0.79817         0.79271         0.78739         0.78172         0.77557         0.76906         0.76182         0.75383         0.74517         0.73653         0.72832         0.72038         0.71251         0.70445         0.69624         0.68765         0.67881         0.66963         0.66045           0.651         0.64144         0.63143          0.6214         0.61132         0.60133         0.59132         0.58126         0.57124         0.56139         0.55159         0.54203         0.53303         0.52413         0.51581         0.50754         0.49965         0.49194         0.48449         0.47691         0.46946         0.46271         0.45644         0.45037         0.44449         0.43936         0.43477         0.43055         0.42639          0.4226         0.41946         0.41668         0.41413         0.41168         0.40934         0.40694          0.40463         0.40269         0.40082         0.39945        0.62452         0.62343         0.62253          0.6219         0.62155          0.6214         0.62137         0.62138         0.62139          0.6214         0.62142         0.62141         0.62135         0.62118         0.62084         0.62027         0.61936         0.61801         0.61615         0.61354          0.6098         0.60554         0.60045         0.59458         0.58894         0.58316         0.57696         0.57059         0.56394         0.55712         0.54998         0.54293         0.53583         0.52893         0.52236         0.51544          0.5085          0.5013         0.49402         0.48639         0.47871         0.47091         0.46322         0.45535         0.44758         0.43987         0.43234         0.42495         0.41767         0.41076         0.40411         0.39762         0.39154         0.38593         0.38043          0.3756         0.37079         0.36654          0.3625         0.35881         0.35522         0.35175         0.34886         0.34627         0.34378         0.34148         0.33941         0.33751         0.33569         0.33378         0.33201         0.33031         0.32873         0.32726         0.32594         0.32479         0.32356          0.32237         0.32132         0.32036         0.31968        0.56794         0.56709         0.56636         0.56586          0.5656         0.56553         0.56558         0.56568         0.56581         0.56597         0.56613         0.56629         0.56641         0.56645         0.56634           0.566         0.56533         0.56422         0.56259         0.56019         0.55665         0.55259         0.54772         0.54204         0.53661         0.53103         0.52504         0.51885          0.5124         0.50581         0.49896         0.49224         0.48551         0.47898          0.4728         0.46627         0.45972         0.45294         0.44608         0.43891          0.4317         0.42439         0.41716         0.40975         0.40247         0.39529          0.3883         0.38146         0.37471         0.36835         0.36228         0.35638         0.35087         0.34586         0.34099         0.33681         0.33263         0.32903         0.32565         0.32262         0.31966         0.31684         0.31457         0.31258         0.31064         0.30887         0.30734         0.30598         0.30471         0.30334         0.30208         0.30086          0.2998         0.29877         0.29781         0.29705         0.29623          0.29545         0.29477         0.29416         0.29378  
      3       0.0041199     0.81254       0.81219        0.8118        0.8115       0.81123       0.81087       0.81042       0.80995       0.80955        0.80931        0.80932        0.80965        0.81041        0.81164        0.81321         0.8148        0.81602        0.81661        0.81654        0.81558        0.81357        0.81103        0.80699        0.80169        0.79564        0.78842        0.78044        0.77261        0.76462        0.75732        0.74988        0.74162        0.73378        0.72609        0.71831        0.71005        0.70142        0.69271         0.6838        0.67489        0.66603        0.65679        0.64751        0.63778        0.62783        0.61756         0.6074        0.59705        0.58699        0.57736        0.56813        0.55917        0.55013        0.54173        0.53328        0.52524        0.51714        0.50931        0.50156        0.49438        0.48689        0.47935        0.47294        0.46647        0.45983        0.45347        0.44747        0.44158        0.43634        0.43131        0.42679        0.42289        0.41935         0.4162        0.41362         0.4111        0.40859        0.40636        0.40401        0.40186        0.40019        0.81254        0.81219         0.8118         0.8115        0.81123        0.81087        0.81042        0.80995        0.80955        0.80931        0.80932        0.80965        0.81041        0.81164        0.81321         0.8148        0.81602        0.81661        0.81654         0.81558         0.81357         0.81103         0.80699         0.80169         0.79566         0.78849         0.78031          0.7723         0.76523         0.75728         0.74932          0.7415         0.73367         0.72586         0.71793         0.70963          0.7012         0.69236         0.68367         0.67483         0.66577          0.6566         0.64727         0.63747         0.62756         0.61738         0.60701         0.59668         0.58674         0.57718         0.56779         0.55869         0.54974         0.54135         0.53275          0.5248         0.51652          0.5088         0.50105         0.49374         0.48598         0.47876         0.47228         0.46559         0.45905         0.45254         0.44648         0.44088          0.4355         0.43057          0.4263         0.42229         0.41887         0.41598         0.41325         0.41087         0.40848          0.40623         0.40378         0.40181         0.40015        0.80567         0.80414         0.80293         0.80224         0.80201         0.80208         0.80227         0.80269         0.80311         0.80359         0.80414          0.8048         0.80553          0.8064         0.80712          0.8076         0.80765          0.8074         0.80659         0.80498          0.8024         0.79904         0.79452         0.78928           0.784         0.77784         0.77121         0.76471         0.75783         0.75029         0.74207         0.73343         0.72499         0.71718         0.70965         0.70185         0.69363         0.68505         0.67637          0.6673         0.65822         0.64879         0.63912         0.62915         0.61905         0.60874          0.5985         0.58848         0.57865         0.56889         0.55911         0.54957            0.54         0.53132         0.52259         0.51446         0.50613         0.49811         0.49045         0.48298         0.47523         0.46798          0.4614         0.45514         0.44903         0.44322         0.43816         0.43355          0.4293         0.42517         0.42141         0.41833         0.41554         0.41303         0.41057         0.40823          0.4058          0.40352          0.4016         0.39977         0.39837        0.62394         0.62258         0.62135         0.62053         0.62013            0.62         0.62001         0.62006         0.62013         0.62021         0.62031         0.62037         0.62037         0.62024         0.61994         0.61938         0.61848         0.61713         0.61521          0.6124         0.60854         0.60429         0.59904         0.59331         0.58777          0.5818         0.57543          0.5691         0.56257         0.55579         0.54889          0.5419         0.53504         0.52836         0.52169         0.51478         0.50766         0.50033         0.49308         0.48546         0.47787         0.47002         0.46224         0.45444         0.44673         0.43882         0.43108         0.42357          0.4164          0.4095         0.40293         0.39671         0.39054         0.38517         0.37978         0.37503         0.37027         0.36597         0.36195          0.3583         0.35455         0.35124         0.34852         0.34591         0.34344         0.34116         0.33908         0.33717          0.3353         0.33344         0.33165         0.32996          0.3284         0.32696         0.32564         0.32449         0.32327          0.32207         0.32104         0.32007         0.31941         0.5677         0.56658         0.56552         0.56483         0.56452         0.56446         0.56455          0.5647         0.56488         0.56509         0.56533         0.56556         0.56574         0.56582         0.56574         0.56541         0.56474         0.56362         0.56194         0.55934         0.55568         0.55164         0.54659         0.54106         0.53571         0.52994         0.52377         0.51763         0.51129         0.50475         0.49813         0.49147         0.48498         0.47868         0.47238         0.46586         0.45914         0.45223          0.4454         0.43824         0.43113         0.42376         0.41643         0.40909         0.40187         0.39448         0.38729         0.38032         0.37367         0.36733         0.36134          0.3557         0.35011         0.34533         0.34058         0.33646         0.33234         0.32868         0.32532         0.32232         0.31921         0.31654         0.31445         0.31243         0.31051         0.30875         0.30721         0.30585         0.30452          0.3032         0.30192         0.30071         0.29966         0.29866         0.29771         0.29694         0.29613          0.29534         0.29467         0.29406         0.29369  
      4        0.013905     0.74117       0.73709       0.73619       0.73592         0.736       0.73628       0.73677       0.73763        0.7391        0.74131        0.74415        0.74755         0.7515        0.75604        0.76092        0.76564        0.76975        0.77301        0.77537        0.77672        0.77695        0.77671        0.77506        0.77265        0.76846        0.76323        0.75719        0.75084         0.7442        0.73838        0.73168        0.72447        0.71707        0.70965        0.70186        0.69374        0.68537        0.67675        0.66757         0.6588         0.6501        0.64168        0.63298        0.62363         0.6138        0.60405        0.59425         0.5842        0.57482        0.56574        0.55686        0.54838        0.54001         0.5318        0.52383        0.51592        0.50808        0.50061        0.49287        0.48585        0.47831        0.47114        0.46467        0.45827        0.45162        0.44531        0.43938        0.43364        0.42826        0.42313        0.41857        0.41472        0.41124         0.4082        0.40565        0.40312        0.40058        0.39839        0.39602        0.39395        0.39222        0.74117        0.73709        0.73619        0.73592          0.736        0.73628        0.73677        0.73763         0.7391        0.74131        0.74415        0.74755         0.7515        0.75604        0.76092        0.76564        0.76975        0.77301        0.77537         0.77672         0.77695         0.77671         0.77506         0.77265         0.76845         0.76328         0.75688         0.75069         0.74464         0.73804          0.7313         0.72429         0.71699         0.70938          0.7014         0.69341         0.68503         0.67632         0.66744         0.65861         0.64982         0.64151         0.63262          0.6232         0.61355         0.60373         0.59385         0.58393          0.5746         0.56547         0.55659         0.54793         0.53957         0.53123         0.52328         0.51533         0.50756          0.5001          0.4924         0.48514         0.47759         0.47059         0.46392         0.45724         0.45066         0.44446         0.43838         0.43283          0.4274         0.42246         0.41809         0.41407         0.41075         0.40793         0.40532         0.40289         0.40052          0.39818         0.39582         0.39383         0.39222         0.7246         0.71919         0.71743         0.71678         0.71694         0.71764         0.71889         0.72052         0.72278         0.72563         0.72903         0.73281         0.73681         0.74093         0.74499          0.7484         0.75148         0.75397         0.75579         0.75676         0.75652         0.75584         0.75405         0.75204         0.74873         0.74475         0.74015         0.73498         0.72943         0.72347         0.71651          0.7086         0.70038         0.69198         0.68372         0.67566          0.6674         0.65899         0.65036         0.64178         0.63324         0.62481         0.61606         0.60681         0.59722         0.58755         0.57802         0.56844         0.55942         0.55053          0.5416         0.53291         0.52443         0.51608         0.50799         0.49991         0.49188         0.48422         0.47656          0.4692         0.46162         0.45472         0.44825         0.44225         0.43613         0.43053         0.42555          0.4211          0.4168         0.41262         0.40887         0.40591         0.40314         0.40075         0.39823         0.39585         0.39342          0.39119         0.38929         0.38747         0.38613        0.55164         0.54656         0.54482         0.54403           0.544          0.5445         0.54545         0.54684          0.5488         0.55135         0.55428         0.55742         0.56061         0.56381         0.56683         0.56942         0.57142         0.57273         0.57326         0.57277         0.57113         0.56919         0.56633         0.56351         0.55982         0.55586         0.55144         0.54657         0.54136         0.53597         0.53017         0.52399         0.51769         0.51124         0.50462         0.49791         0.49089         0.48371         0.47621         0.46872         0.46131         0.45423         0.44706         0.43966          0.4321         0.42462         0.41737         0.41018         0.40362         0.39726         0.39111          0.3853         0.37982          0.3746         0.36977          0.3651         0.36072         0.35668         0.35271         0.34924         0.34555          0.3425         0.33977         0.33724         0.33477         0.33259         0.33063         0.32879         0.32678         0.32487         0.32304         0.32137         0.31984         0.31848         0.31722         0.31604         0.31482          0.31364         0.31262         0.31166         0.31101        0.49629         0.49143         0.48986         0.48919         0.48925         0.48982         0.49085         0.49232         0.49438         0.49705         0.50012         0.50341         0.50678         0.51017          0.5134          0.5162         0.51843         0.51997         0.52072         0.52044         0.51901         0.51728         0.51462         0.51198         0.50849         0.50471         0.50048         0.49579         0.49078         0.48561         0.48009         0.47423          0.4683         0.46223         0.45598         0.44965         0.44303         0.43626         0.42919         0.42216         0.41523         0.40862          0.4019         0.39496         0.38788         0.38092         0.37422         0.36756         0.36152         0.35571         0.35013         0.34489         0.33999         0.33536         0.33116         0.32712         0.32338         0.31997         0.31666         0.31385         0.31078         0.30837         0.30625         0.30429         0.30237         0.30071         0.29928         0.29798         0.29653         0.29514         0.29382         0.29264         0.29161         0.29067         0.28976         0.28898         0.28816          0.28738         0.28671         0.28611         0.28575  
      5        0.032959     0.65341        0.6534       0.65431       0.65624       0.65879       0.66152       0.66419       0.66666       0.66891         0.6709        0.67266        0.67423        0.67579        0.67755         0.6796        0.68188        0.68415        0.68585        0.68658        0.68746        0.68777        0.68825         0.6881        0.68661        0.68375        0.67964        0.67492        0.66963        0.66513        0.66044        0.65499        0.64925        0.64345         0.6377        0.63198        0.62611        0.62038        0.61414        0.60793        0.60177        0.59557        0.58923        0.58269        0.57543        0.56814        0.56086        0.55355        0.54603        0.53855        0.53112        0.52373        0.51658        0.50937        0.50203        0.49488        0.48775        0.48061        0.47357        0.46647        0.45943        0.45238        0.44567        0.43919        0.43279        0.42632        0.42024        0.41426        0.40821        0.40284        0.39776        0.39331        0.38953         0.3861        0.38328        0.38067        0.37826        0.37572        0.37346         0.3711        0.36916        0.36741        0.65341         0.6534        0.65431        0.65624        0.65879        0.66152        0.66419        0.66666        0.66891         0.6709        0.67266        0.67423        0.67579        0.67755         0.6796        0.68188        0.68415        0.68585        0.68658         0.68746         0.68777         0.68825          0.6881          0.6866         0.68382         0.67941         0.67469         0.67015         0.66515         0.66001         0.65471         0.64913         0.64322         0.63735         0.63152         0.62581         0.61997         0.61394         0.60777         0.60152         0.59524         0.58899         0.58211         0.57498         0.56781         0.56046         0.55302         0.54565         0.53824          0.5307         0.52332         0.51613         0.50889         0.50146         0.49429         0.48711         0.47997         0.47302         0.46579         0.45868         0.45158         0.44512         0.43839         0.43169         0.42534         0.41915          0.4129         0.40711         0.40191         0.39713         0.39266         0.38901         0.38559         0.38296          0.3804         0.37807         0.37551          0.37315         0.37095         0.36894         0.36737        0.62019         0.61892         0.61912         0.62096         0.62386         0.62731         0.63088          0.6344         0.63779         0.64096         0.64365         0.64588         0.64768         0.64894         0.65027         0.65162         0.65294         0.65411         0.65445         0.65473         0.65448         0.65454         0.65441         0.65344         0.65166         0.64913          0.6461         0.64256         0.63862         0.63409         0.62875         0.62283         0.61662         0.61039         0.60433         0.59827         0.59231         0.58637         0.58053         0.57475         0.56886          0.5626         0.55592          0.5489         0.54182         0.53491         0.52823          0.5215         0.51463         0.50756         0.50037         0.49314          0.4859          0.4785         0.47136         0.46423         0.45722         0.45027         0.44321         0.43636         0.42951         0.42336         0.41728         0.41119         0.40552         0.40029         0.39553         0.39091         0.38656         0.38254          0.3791          0.3763         0.37355         0.37131         0.36877          0.3664         0.36386          0.36167         0.35986          0.3581          0.3568        0.46212         0.46113         0.46121         0.46264         0.46508         0.46806         0.47119         0.47421         0.47696         0.47932         0.48119         0.48252         0.48335         0.48379         0.48401         0.48417         0.48434         0.48411         0.48301         0.48205          0.4805         0.47929         0.47795         0.47606         0.47372         0.47088         0.46775         0.46437         0.46078         0.45682         0.45232         0.44754         0.44274         0.43811         0.43364         0.42918         0.42469         0.42005         0.41529         0.41047         0.40559          0.4006          0.3955         0.39032         0.38522         0.38027          0.3755         0.37081         0.36615         0.36147         0.35685          0.3524         0.34814         0.34376         0.33973         0.33585         0.33221          0.3287          0.3251         0.32191         0.31871         0.31601         0.31342         0.31089         0.30872         0.30666         0.30473          0.3027          0.3007          0.2988         0.29695         0.29549         0.29393         0.29269         0.29144         0.29032           0.289          0.28784         0.28688         0.28593          0.2853        0.40843         0.40765         0.40789         0.40943         0.41194         0.41498         0.41818         0.42127          0.4241         0.42656         0.42854         0.43001         0.43099          0.4316           0.432         0.43236         0.43275         0.43273         0.43185          0.4311         0.42976         0.42874         0.42758         0.42587         0.42371         0.42105         0.41809         0.41488         0.41147         0.40773          0.4035         0.39904         0.39459         0.39034         0.38624         0.38215         0.37806         0.37384         0.36953         0.36517         0.36075         0.35622         0.35156         0.34683          0.3422         0.33776         0.33353         0.32937         0.32521         0.32108         0.31702         0.31314         0.30944         0.30565         0.30224         0.29899         0.29597         0.29309         0.29013         0.28758           0.285         0.28291          0.2809         0.27894         0.27728         0.27575         0.27437         0.27288         0.27143         0.27006         0.26869         0.26771         0.26662         0.26578         0.26489         0.26415         0.26323          0.26245         0.26184         0.26125          0.2609  
      6        0.064373      0.5566       0.55625       0.55661       0.55771       0.55943       0.56158       0.56413       0.56698        0.5701        0.57357        0.57744        0.58181         0.5867        0.59209        0.59763        0.60273        0.60678        0.61054        0.61366        0.61671        0.61896        0.62051        0.62085        0.61961        0.61671        0.61246        0.60728        0.60284        0.59851        0.59406         0.5893        0.58448        0.57947        0.57436        0.56944        0.56487        0.55997        0.55499        0.55009        0.54528        0.54053        0.53595        0.53081        0.52531        0.51966        0.51373        0.50749        0.50117        0.49483        0.48836        0.48189        0.47546        0.46916         0.4626        0.45604         0.4495        0.44279        0.43619        0.42958        0.42311        0.41643        0.41024         0.4039        0.39759        0.39138        0.38489        0.37876        0.37297        0.36763        0.36278        0.35862        0.35485         0.3516        0.34891        0.34639         0.3438        0.34147        0.33924        0.33674        0.33492        0.33329        0.55569        0.55512        0.55534        0.55654        ...

Graph Mean Values:

st_title = ['MEAN(MN\_V\_U\_GAIN\_CHECK(A,Z)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_V\_U\_GAIN\_CHECK(a,z))'};
ff_graph_grid((tb_az_v{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);

Graph Mean Consumption (MPC: Share of Check Consumed):

st_title = ['MEAN(MN\_MPC\_U\_GAIN\_CHECK(A,Z)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_MPC\_U\_GAIN\_CHECK(a,z))'};
ff_graph_grid((tb_az_c{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);

1.5 Analyze Marginal Value and MPC over Y(a,eta), Conditional On Kids, Marry, Age, Education

Income is generated by savings and shocks, what are the income levels generated by all the shock and savings points conditional on kids, marital status, age and educational levels. Plot on the Y axis MPC, and plot on the X axis income levels, use colors to first distinguish between different a levels, then use colors to distinguish between different eta levles.

Set Up date, Select Age 37vn

, unmarried, no kids, lower education:

% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
% 38 year old, unmarried, no kids, lower educated
% Only Household Head Shock Matters so select up to 'n_eta_H_grid'
mn_total_inc_jemk = total_inc_VFI(19,:,1:mp_params('n_eta_H_grid'),1,1,1);
mn_V_W_gain_check_use = ev19_jaeemk_check2 - ev19_jaeemk_check0;
mn_C_W_gain_check_use = ec19_jaeemk_check2 - ec19_jaeemk_check0;

Select Age, Education, Marital, Kids Count:s

% Selections
it_age = 21; % +18
it_marital = 1; % 1 = unmarried
it_kids = 1; % 1 = kids is zero
it_educ = 1; % 1 = lower education
% Select: NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
mn_C_W_gain_check_jemk = mn_C_W_gain_check_use(it_age, :, 1:mp_params('n_eta_H_grid'), it_educ, it_marital, it_kids);
mn_V_W_gain_check_jemk = mn_V_W_gain_check_use(it_age, :, 1:mp_params('n_eta_H_grid'), it_educ, it_marital, it_kids);
% Reshape, so shock is the first dim, a is the second
mt_total_inc_jemk = permute(mn_total_inc_jemk,[3,2,1]);
mt_C_W_gain_check_jemk = permute(mn_C_W_gain_check_jemk,[3,2,1]);
mt_C_W_gain_check_jemk(mt_C_W_gain_check_jemk<=1e-10) = 1e-10;
mt_V_W_gain_check_jemk = permute(mn_V_W_gain_check_jemk,[3,2,1]);
mt_V_W_gain_check_jemk(mt_V_W_gain_check_jemk<=1e-10) = 1e-10;
% Generate meshed a and shock grid
[mt_eta_H, mt_a] = ndgrid(eta_H_grid(1:mp_params('n_eta_H_grid')), agrid);

1.6 Marginal Value Gains, Color as Shock, Conditional on Age, Marital, Kids, and Education

How do shocks and a impact marginal value. First plot one asset level, variation comes only from increasingly higher shocks:

figure();
it_a = 1;
scatter((mt_total_inc_jemk(:,it_a)), (mt_V_W_gain_check_jemk(:,it_a)), 100);
title({'MN\_V\_W\_GAIN\_CHECK(Y(A, eta)), Lowest A, J38M0E0K0', ...
    'Each Circle is A Different Shock Level'});
xlabel('Y(a,eta) = Spouse + Household head Income Joint');
ylabel('MN\_V\_W\_GAIN\_CHECK(A, eta)');
grid on;
grid minor;

figure();
it_shock = 1;
scatter(log(mt_total_inc_jemk(:,it_a)), log(mt_V_W_gain_check_jemk(:,it_a)), 100);
title({'MN\_V\_W\_GAIN\_CHECK(Y(A, eta)), Lowest A, J38M0E0K0', ...
    'Each Circle is A Different Shock Level'});
xlabel(' of Y(a,eta) = Spouse + Household head Income Joint');
ylabel(' of MN\_V\_W\_GAIN\_CHECK(A, eta)');
grid on;
grid minor;

Plot all asset levels:

figure();
scatter((mt_total_inc_jemk(:)), (mt_V_W_gain_check_jemk(:)), 100, mt_a(:));
title({'(MN\_V\_W\_GAIN\_CHECK(Y,eta)), All A (Savings) Levels, J38M0E0K0', ...
    'Color Represent different A Savings State, Circle-Group=Shock'});
xlabel('income(a,eps)');
ylabel('MN\_V\_W\_GAIN\_CHECK(EM,J)');
grid on;
grid minor;

figure();
scatter((mt_total_inc_jemk(:)), log(mt_V_W_gain_check_jemk(:)), 100, mt_a(:));
title({'(MN\_V\_W\_GAIN\_CHECK(Y,eta)), All A (Savings) Levels, J38M0E0K0', ...
    'Color Represent different A Savings State, Circle-Group=Shock'});
xlabel('income(a,eps)');
ylabel('log of (MN\_V\_W\_GAIN\_CHECK(EM,J))');
xlim([0,7]);
grid on;
grid minor;

1.7 Marginal Consumption Gains, Color as Shock, Conditional on Age, Marital, Kids, and Education

How do shocks and a impact marginal value. First plot one asset level, variation comes only from increasingly higher shocks:

figure();
it_a = 50;
scatter(log(mt_total_inc_jemk(:,it_a)), mt_C_W_gain_check_jemk(:,it_a), 100);
title({'MN\_C\_W\_GAIN\_CHECK(Y(A, eta)), Given A Savings Level, J38M0E0K0', ...
    'Each Circle is A Different shock Level'});
xlabel('Y(a,eta) = Spouse + Household head Income Joint');
ylabel('MN\_C\_W\_GAIN\_CHECK(A, eta)');
grid on;
grid minor;

Plot all asset levels:

figure();
scatter((mt_total_inc_jemk(:)), (mt_C_W_gain_check_jemk(:)), 100, mt_a(:));
title({'(MN\_C\_W\_GAIN\_CHECK(Y,eta)), All A (Savings) Levels, J38M0E0K0', ...
    'Color Represent different A Savings State, Circle-Group=Shock'});
xlabel('income(a,eps)');
ylabel('MN\_C\_W\_GAIN\_CHECK(EM,J)');
grid on;
grid minor;

figure();
scatter(log(mt_total_inc_jemk(:)), log(mt_C_W_gain_check_jemk(:)), 100, mt_a(:));
title({'(MN\_C\_W\_GAIN\_CHECK(Y,eta)), All A (Savings) Levels, J38M0E0K0', ...
    'Color Represent different A Savings State, Circle-Group=Shock'});
xlabel('log of income(a,eps)');
ylabel('log of (MN\_V\_W\_GAIN\_CHECK(EM,J))');
grid on;
grid minor;

1.8 Analyze Kids and Marriage and Age

Aggregating over education, savings, and shocks, what are the differential effects of Marriage and Age.

% Generate some Data
mp_support_graph = containers.Map('KeyType', 'char', 'ValueType', 'any');
ar_row_grid = [...
    "k0M0", "K1M0", "K2M0", "K3M0", "K4M0", ...
    "k0M1", "K1M1", "K2M1", "K3M1", "K4M1"];
mp_support_graph('cl_st_xtitle') = {'Age'};
mp_support_graph('st_legend_loc') = 'best';
mp_support_graph('bl_graph_logy') = true; % do not log
mp_support_graph('st_rounding') = '6.2f'; % format shock legend
mp_support_graph('cl_scatter_shapes') = {...
    'o', 'd' ,'s', 'x', '*', ...
    'o', 'd', 's', 'x', '*'};
mp_support_graph('cl_colors') = {...
    'red', 'red', 'red', 'red', 'red'...
    'blue', 'blue', 'blue', 'blue', 'blue'};

MEAN(VAL(KM,J)), MEAN(AP(KM,J)), MEAN(C(KM,J))

Tabulate value and policies:

% Set
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,4,1,6,5];
% Value Function
st_title = ['MEAN(MN_V_U_GAIN_CHECK(KM,J)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_v = ff_summ_nd_array(st_title, mn_V_U_gain_check, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(KM,J)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99
    _____    ____    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________

      1       1        0        0.030027       0.029309       0.027141       0.024832       0.022901       0.021272       0.019891       0.018713       0.017702       0.016834       0.016083       0.015432       0.014829        0.01434       0.013913       0.013543       0.013223       0.012943       0.012703       0.012495       0.012319       0.012169        0.01203       0.011926       0.011843       0.011777       0.011728       0.011694       0.011675       0.011669       0.011675       0.011691        0.01174       0.011777       0.011824       0.011879       0.011944       0.012018       0.012101       0.012193       0.012294       0.012405       0.012704       0.012848       0.013007        0.01315      0.0085154       0.013263       0.013157       0.013049       0.012939       0.012827       0.012712       0.012596       0.012478       0.012356       0.012228       0.012098       0.011965       0.011829       0.011689       0.011546       0.011404       0.011258       0.011119       0.010982       0.010838       0.010698       0.010546       0.010403        0.01028       0.010189       0.010124       0.010065       0.010015      0.0099828       0.009948      0.0099106      0.0098247      0.0097034      0.0094359      0.0088823 
      2       2        0         0.04151        0.04055       0.037518       0.034247       0.031504       0.029182       0.027206       0.025512        0.02405       0.022786       0.021685       0.020724        0.01983       0.019095       0.018445       0.017876       0.017374       0.016931       0.016542       0.016197       0.015897       0.015634       0.015384       0.015186       0.015014       0.014868       0.014743       0.014641       0.014558       0.014495       0.014447       0.014414       0.014429       0.014427       0.014438       0.014463       0.014502       0.014556       0.014623       0.014706       0.014805        0.01492       0.015293       0.015416       0.015494       0.015756      0.0095565       0.015406       0.015268       0.015129       0.014986       0.014843         0.0147       0.014555       0.014406       0.014254       0.014099       0.013942       0.013791        0.01364       0.013485       0.013326       0.013169       0.013012       0.012853       0.012689       0.012536       0.012395       0.012264       0.012143       0.012026       0.011928       0.011837       0.011751        0.01167       0.011603       0.011519       0.011445       0.011367       0.011256       0.011084       0.010706 
      3       3        0        0.048832       0.047813       0.043942       0.040179       0.037025       0.034356       0.032083       0.030135       0.028454          0.027       0.025735       0.024629       0.023596        0.02275       0.022001       0.021345       0.020766       0.020254       0.019805       0.019406       0.019058       0.018753       0.018461        0.01823        0.01803        0.01786       0.017713       0.017593       0.017496       0.017422       0.017366       0.017326       0.017346       0.017346        0.01736       0.017392       0.017442        0.01751       0.017598       0.017705       0.017834       0.017984       0.018458       0.018611       0.018707       0.018914       0.011051       0.018353       0.018204       0.018056       0.017908        0.01776       0.017613       0.017467       0.017321       0.017175       0.017026       0.016875       0.016721       0.016567        0.01641       0.016244       0.016078       0.015919       0.015772       0.015646       0.015535       0.015419        0.01532       0.015234       0.015126       0.015014       0.014911       0.014816       0.014721       0.014639       0.014546       0.014462         0.0144       0.014334       0.014253       0.013897 
      4       4        0        0.055554       0.054443       0.050039       0.045784       0.042216       0.039197       0.036627       0.034424       0.032522       0.030878       0.029446       0.028194       0.027023       0.026065       0.025217       0.024474       0.023818       0.023238       0.022728       0.022276       0.021881       0.021535       0.021204       0.020941       0.020715       0.020522       0.020356       0.020221       0.020112        0.02003       0.019969       0.019927       0.019955       0.019959       0.019981       0.020025       0.020089       0.020176       0.020286        0.02042       0.020577       0.020758       0.021313       0.021496       0.021588       0.021738       0.012533       0.021155          0.021       0.020837       0.020676       0.020513       0.020354       0.020196       0.020038       0.019881       0.019722       0.019561         0.0194        0.01924       0.019077       0.018915       0.018756       0.018611       0.018483       0.018357       0.018239       0.018127       0.018043        0.01797       0.017887       0.017835       0.017764       0.017671       0.017587       0.017496         0.0174       0.017292       0.017196       0.017109       0.016937       0.016458 
      5       5        0          0.0609        0.05977       0.054981        0.05038       0.046522       0.043258       0.040479         0.0381       0.036047       0.034273       0.032728        0.03138       0.030117       0.029086       0.028175       0.027377       0.026674       0.026053       0.025508       0.025026       0.024606       0.024239       0.023887       0.023611       0.023373       0.023172       0.023001       0.022864       0.022755       0.022676       0.022619       0.022584       0.022628       0.022645       0.022682       0.022743       0.022829       0.022938       0.023073       0.023234       0.023418       0.023623       0.024246       0.024462       0.024569       0.024665        0.01422       0.024149       0.023983       0.023818       0.023653       0.023486       0.023315       0.023144       0.022977       0.022807       0.022625       0.022438       0.022251        0.02206       0.021862       0.021667       0.021476       0.021302       0.021153       0.021028       0.020913       0.020809       0.020702       0.020603       0.020536       0.020477       0.020419       0.020389       0.020297        0.02021       0.020126       0.020012       0.019885       0.019715       0.019424       0.018754 
      6       1        1       0.0055093      0.0051081      0.0046334      0.0041967      0.0038272      0.0035138      0.0032482      0.0030214       0.002826      0.0026604      0.0025186      0.0023967      0.0022868      0.0021977      0.0021213      0.0020577      0.0020043      0.0019595      0.0019237      0.0018952       0.001874      0.0018594      0.0018487      0.0018455      0.0018477      0.0018549      0.0018667      0.0018836      0.0019052      0.0019316      0.0019623      0.0019973      0.0020407      0.0020862      0.0021361      0.0021914       0.002253      0.0023216      0.0023978      0.0024828      0.0025778      0.0026854      0.0028403      0.0029916      0.0031738      0.0034122      0.0033529      0.0049955      0.0050694      0.0051431      0.0052194      0.0052916      0.0053661      0.0054301      0.0054901      0.0055402      0.0055848      0.0056356      0.0056789       0.005721      0.0057542      0.0057711      0.0057766      0.0057866      0.0057926      0.0057911      0.0057977      0.0058043      0.0057973      0.0057917      0.0058024        0.00581      0.0058129      0.0058139      0.0058105       0.005795      0.0057756      0.0057569      0.0057168       0.005644      0.0055043      0.0050876 
      7       2        1       0.0077846      0.0072287      0.0065562      0.0059314      0.0054057       0.004957      0.0045732      0.0042424      0.0039584      0.0037147      0.0035041       0.003322      0.0031569      0.0030215      0.0029039      0.0028037      0.0027179      0.0026444       0.002583      0.0025316      0.0024904      0.0024581      0.0024311      0.0024142      0.0024044      0.0024013       0.002404      0.0024132      0.0024284      0.0024499      0.0024766      0.0025086      0.0025513       0.002596      0.0026462      0.0027026      0.0027658       0.002837      0.0029167      0.0030065      0.0031076      0.0032217      0.0033927      0.0035514       0.003745      0.0039929      0.0037261      0.0054827      0.0055588      0.0056381      0.0057147       0.005787        0.00586      0.0059272      0.0059894      0.0060446      0.0060929      0.0061416      0.0061851      0.0062243      0.0062588      0.0062874      0.0063067      0.0063146      0.0063284      0.0063427      0.0063524       0.006363      0.0063708      0.0063786      0.0063844      0.0063834      0.0063722      0.0063611      0.0063558      0.0063449      0.0063382      0.0063362      0.0063158      0.0062538      0.0060994      0.0056831 
      8       3        1       0.0094266       0.008771      0.0079723      0.0072201      0.0065859        0.00605       0.005592      0.0051974      0.0048558      0.0045641      0.0043107      0.0040899      0.0038899      0.0037262      0.0035841      0.0034632      0.0033592      0.0032699       0.003195      0.0031321      0.0030814      0.0030412      0.0030073      0.0029859      0.0029729      0.0029679      0.0029698      0.0029795      0.0029963      0.0030205      0.0030508       0.003087      0.0031366      0.0031881      0.0032462      0.0033118      0.0033848      0.0034658      0.0035564      0.0036584      0.0037726      0.0039016      0.0040981      0.0042665      0.0044662       0.004721      0.0041592      0.0060341      0.0061194       0.006206      0.0062961      0.0063795       0.006452      0.0065282       0.006603      0.0066724      0.0067375      0.0067958      0.0068507      0.0068955      0.0069368      0.0069739      0.0070164      0.0070534      0.0070811      0.0071109      0.0071379      0.0071608       0.007185      0.0072089      0.0072279      0.0072449      0.0072526      0.0072443      0.0072346      0.0072389      0.0072434      0.0072504      0.0072508      0.0072066      0.0070563      0.0066186 
      9       4        1        0.011763       0.010976       0.009988      0.0090498      0.0082597      0.0075823      0.0070052      0.0065149      0.0060924      0.0057284      0.0054115      0.0051359       0.004885      0.0046786      0.0044983      0.0043428      0.0042088      0.0040934      0.0039962      0.0039138      0.0038467      0.0037926      0.0037461      0.0037148       0.003694      0.0036828      0.0036801      0.0036868      0.0037019      0.0037259      0.0037571      0.0037956      0.0038503       0.003907      0.0039714      0.0040451      0.0041281      0.0042207      0.0043237      0.0044382      0.0045642      0.0047035      0.0049227      0.0051019      0.0053003      0.0055752      0.0046227       0.006588      0.0066854      0.0067809      0.0068835       0.006983       0.007066      0.0071472      0.0072346      0.0073127      0.0073934       0.007465      0.0075307      0.0075818      0.0076364      0.0076853      0.0077356      0.0077884       0.007826      0.0078662      0.0079038      0.0079391      0.0079714      0.0080066      0.0080392       0.008063      0.0080851      0.0080883      0.0080829      0.0080879      0.0081008      0.0081148      0.0081216      0.0080842      0.0079255      0.0074239 
     10       5        1        0.014764       0.013879       0.012683       0.011539       0.010569      0.0097415      0.0090357      0.0084328      0.0079076      0.0074528      0.0070597      0.0067197      0.0064092      0.0061527      0.0059289      0.0057377      0.0055731      0.0054304      0.0053093      0.0052059      0.0051214       0.005053      0.0049936      0.0049536      0.0049266      0.0049116       0.004907      0.0049141      0.0049317      0.0049606       0.004998      0.0050437      0.0051103      0.0051785      0.0052556      0.0053432      0.0054414      0.0055508      0.0056714      0.0058042      0.0059502      0.0061109      0.0063731      0.0065676       0.006767      0.0070405      0.0054025      0.0076466      0.0077504      0.0078575      0.0079642      0.0080715      0.0081735      0.0082656      0.0083622      0.0084476      0.0085347        0.00862      0.0087037      0.0087772      0.0088411      0.0088981      0.0089496      0.0090014       0.009053      0.0091078      0.0091614      0.0091995      0.0092334      0.0092628      0.0092881      0.0092978      0.0093159      0.0093294       0.009333       0.009338      0.0093573      0.0093794      0.0093858      0.0093361      0.0091418      0.0085346 

% Consumption Function
st_title = ['MEAN(MN_MPC_U_GAIN_CHECK(KM,J)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_c = ff_summ_nd_array(st_title, mn_MPC_U_gain_share_check, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(KM,J)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99
    _____    ____    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________

      1       1        0        0.08445       0.099691        0.10757        0.10468        0.10247        0.09965        0.09741       0.095527       0.093623       0.091892       0.090154       0.088739       0.087311       0.086115        0.08499       0.084006       0.083079       0.082282       0.081537       0.080836       0.080248       0.079709       0.079059       0.078607       0.078174       0.077796        0.07737       0.077125       0.076846       0.076677       0.076527       0.076343       0.076503       0.076557       0.076673       0.076787       0.077086       0.077425        0.07791       0.078485       0.079407       0.080457         0.0824       0.084365       0.087481       0.094952       0.092305        0.12621        0.12944         0.1328        0.13505        0.13787        0.14154        0.14469        0.14767        0.15085        0.15426        0.15798        0.16194        0.16617        0.17076        0.17607        0.18199        0.18846        0.19394        0.20045        0.20762        0.21545        0.22386         0.2339        0.24389        0.25578        0.26982        0.28582        0.30005        0.32039        0.34043        0.37145        0.40929        0.47417        0.60078        0.99996  
      2       2        0       0.096015        0.11123        0.12103        0.11789        0.11535        0.11281        0.11077        0.10899        0.10711        0.10568        0.10438        0.10311        0.10202          0.101        0.10009       0.099404        0.09885       0.098204       0.097716       0.097131        0.09667       0.096213       0.095684       0.095194       0.094792       0.094384       0.093861       0.093426       0.092982       0.092606       0.092296       0.091971       0.091678       0.091357       0.091281       0.091236       0.091198       0.091167       0.091323       0.091562       0.092204       0.092943       0.094372       0.095504       0.097988        0.10505        0.10427        0.15293        0.15565        0.15849        0.16071         0.1634        0.16662         0.1695        0.17224         0.1752        0.17841        0.18199        0.18627        0.19092        0.19585        0.20018         0.2056        0.21146        0.21672        0.22241        0.22925        0.23669        0.24403        0.25367        0.26367        0.27493        0.28735        0.30222         0.3168         0.3348        0.35646        0.38633        0.42569         0.4917        0.61445        0.99996  
      3       3        0        0.10769        0.12614        0.13451        0.13081        0.12755         0.1248        0.12226        0.11997        0.11796         0.1162        0.11449        0.11318        0.11175        0.11058        0.10963        0.10875        0.10812        0.10743        0.10696        0.10643         0.1061        0.10554        0.10506        0.10487        0.10446        0.10405        0.10378        0.10342        0.10302        0.10277        0.10254        0.10222        0.10188        0.10156        0.10142        0.10129        0.10124        0.10123        0.10132        0.10152        0.10189        0.10252        0.10375        0.10468        0.10704        0.11382        0.11521        0.16666        0.16925        0.17192        0.17472        0.17772        0.18089        0.18417        0.18762        0.19128         0.1952        0.19939        0.20382        0.20802        0.21258        0.21667        0.22209        0.22818        0.23498        0.24258        0.25104        0.25918        0.26726        0.27739        0.28859        0.30033        0.31121        0.32554        0.34177        0.35709        0.37991        0.40687        0.44606        0.50672        0.63028        0.99996  
      4       4        0        0.11389        0.13321        0.14167         0.1377        0.13399        0.13108         0.1279        0.12577         0.1234        0.12129        0.11966        0.11804        0.11644        0.11524        0.11427        0.11339         0.1127        0.11197        0.11136        0.11085        0.11043        0.11026        0.10959        0.10936        0.10923        0.10876        0.10843        0.10821        0.10796        0.10765        0.10735        0.10703        0.10684        0.10656        0.10628        0.10608        0.10589         0.1058        0.10571        0.10589         0.1061        0.10647        0.10761        0.10852        0.11095        0.11782        0.11998        0.16955         0.1721         0.1747        0.17748        0.18043        0.18357        0.18689        0.19038         0.1941        0.19806        0.20231        0.20649        0.21004        0.21434        0.21947        0.22529          0.232        0.23958        0.24783        0.25651        0.26376        0.27385        0.28438        0.29566        0.30646        0.31782        0.33224        0.34695        0.36233        0.38262        0.40867        0.44565         0.5032        0.62212        0.99996  
      5       5        0         0.1198        0.14051        0.14851          0.144        0.13992        0.13604        0.13275        0.12962        0.12684        0.12463        0.12268        0.12082        0.11872        0.11755        0.11619        0.11504        0.11416        0.11325        0.11268        0.11207        0.11155        0.11113        0.11057        0.11048        0.11015        0.10975        0.10947        0.10941        0.10915        0.10887        0.10858        0.10832        0.10826         0.1081        0.10781        0.10767         0.1074        0.10711        0.10704        0.10718        0.10728        0.10777        0.10877        0.10981        0.11236        0.11948         0.1218        0.16892        0.17132        0.17379        0.17644        0.17928        0.18224        0.18533        0.18867        0.19228        0.19608        0.20018        0.20346        0.20694        0.21151        0.21669        0.22274        0.22969        0.23742        0.24574        0.25379        0.26171        0.27175         0.2824        0.29396        0.30453        0.31606        0.32999        0.34461        0.35924        0.37934        0.40265        0.43714        0.49296        0.61567        0.99996  
      6       1        1       0.096558        0.10433         0.1066        0.10427         0.1019       0.099557       0.098102       0.097522       0.097081       0.095566       0.093428       0.091874       0.092459       0.093417       0.091898       0.089768       0.088045       0.087173        0.08656        0.08601       0.085105       0.084154       0.084782        0.08461       0.084097       0.083204       0.082998       0.082193       0.081829       0.081319       0.081086       0.080815       0.080745       0.079415       0.077751       0.077194       0.078398       0.079215       0.079316       0.079516       0.079809       0.080296          0.082       0.082377       0.082501       0.086278       0.087444        0.11208        0.11365        0.11716        0.13057        0.12351        0.12456        0.12351        0.11613         0.1158        0.11867        0.13422         0.1397         0.1504        0.15155         0.1456        0.14216        0.16137        0.17041        0.16873        0.18875        0.19714         0.2047        0.21959        0.22874        0.23434        0.25244        0.26681        0.27985        0.29245        0.31665        0.34687        0.38617        0.45644        0.58838        0.99997  
      7       2        1        0.10023        0.10921        0.11152        0.10928        0.10824        0.10482        0.10232        0.10056        0.09941        0.09927       0.098584        0.09889       0.098775       0.097406        0.09579       0.094708       0.094126        0.09402       0.094432       0.094323       0.093865       0.093326       0.093042       0.092616        0.09213       0.091751       0.091018       0.090857       0.090299       0.089769       0.089684       0.089652       0.089479       0.089204       0.088447       0.087546       0.087124        0.08708       0.086926       0.086883       0.086875       0.087163       0.088422       0.089466       0.091391       0.094293        0.09618        0.11992        0.12075        0.12604        0.12685        0.12207        0.12832        0.12933        0.13387        0.13354        0.13299        0.14116        0.14514        0.15625        0.15432        0.15871        0.16181        0.17404        0.18445        0.18313        0.19864        0.20685        0.21785         0.2297        0.23933        0.24686        0.26217        0.27244        0.28881        0.30234        0.32432        0.35531        0.39677        0.46372        0.59673        0.99997  
      8       3        1        0.10587        0.11747         0.1188        0.11732        0.11596        0.11315        0.11096        0.10893        0.10726        0.10515        0.10317        0.10255        0.10132        0.10082        0.10008       0.098567       0.098437        0.09897       0.099784       0.099628       0.099134        0.09871       0.098012       0.097524       0.097391       0.097105       0.096767       0.096315       0.095716       0.095608        0.09528       0.095098       0.094663       0.094396       0.094057        0.09363       0.093408       0.093298         0.0935        0.09368        0.09413       0.094661       0.095748       0.096683       0.097761        0.10176        0.10338        0.12959        0.12617        0.13269        0.12959        0.12596        0.12763        0.13462        0.14222        0.14651        0.14802        0.15023        0.14898         0.1581        0.16054        0.16735        0.18014        0.18844        0.19862         0.2033        0.20918        0.21787        0.23169        0.24062        0.24929         0.2627        0.27431        0.28021         0.2995        0.31657        0.33714        0.36768        0.40878        0.47211        0.60366        0.99997  
      9       4        1        0.11202        0.12194        0.12444         0.1225        0.11996        0.11812        0.11595         0.1145        0.11218        0.11012        0.10841        0.10715        0.10583        0.10401        0.10198         0.1013        0.10076         0.1015         0.1015        0.10093        0.10047        0.10012       0.099886        0.09956       0.099327       0.099145       0.098947        0.09855       0.098183       0.097772       0.097575       0.097613       0.097758       0.097703       0.097616       0.097518       0.097348       0.097092       0.097481        0.09793       0.098201       0.098494       0.099439        0.10061         0.1021        0.10706        0.10741        0.13587        0.12993        0.13641        0.13698          0.133        0.12733        0.13602         0.1419        0.14867        0.15587        0.15543        0.15205        0.15807        0.16822        0.16813        0.17991        0.19475        0.20332         0.2111        0.21437        0.22285        0.23438        0.24594        0.25326        0.26817        0.27842        0.28684        0.30135         0.3198        0.34381        0.37132        0.41039         0.4715        0.60523        0.99997  
     10       5        1        0.12325        0.13304        0.13672        0.13148        0.12849        0.12885        0.12336        0.12119        0.11968        0.11776        0.11609        0.11385        0.11243        0.11093        0.11004        0.10894        0.10802        0.10772        0.10762        0.10669         0.1063        0.10591        0.10507        0.10464        0.10412        0.10363        0.10344        0.10265        0.10212         0.1017        0.10117        0.10033        0.10047        0.10037        0.10033        0.10004       0.099694       0.099752       0.099979         0.1005        0.10104        0.10147         0.1026        0.10487        0.10655        0.11225         0.1116        0.13006        0.12966         0.1363        0.13835        0.14372         0.1413        0.14415        0.14403        0.14868        0.15812        0.15755        0.16005         0.1675         0.1753        0.17933        0.18721        0.19714         0.2052        0.21528        0.22102        0.22701        0.23763        0.24899         0.2571        0.26842        0.28056        0.29193        0.29951        0.31944         0.3424        0.36854        0.40866        0.47058        0.60244        0.99997  

Graph Mean Values:

st_title = ['MEAN(MN\_V\_U\_GAIN\_CHECK(KM,J)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_V\_U\_GAIN\_CHECK(KM,J))'};
ff_graph_grid((tb_az_v{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Consumption (MPC: Share of Check Consumed):

st_title = ['MEAN(MN\_MPC\_U\_GAIN\_CHECK(KM,J)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_MPC\_U\_GAIN\_CHECK(KM,J))'};
ff_graph_grid((tb_az_c{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

1.9 Analyze Education and Marriage

Aggregating over education, savings, and shocks, what are the differential effects of Marriage and Age.

% Generate some Data
mp_support_graph = containers.Map('KeyType', 'char', 'ValueType', 'any');
ar_row_grid = ["E0M0", "E1M0", "E0M1", "E1M1"];
mp_support_graph('cl_st_xtitle') = {'Age'};
mp_support_graph('st_legend_loc') = 'best';
mp_support_graph('bl_graph_logy') = true; % do not log
mp_support_graph('st_rounding') = '6.2f'; % format shock legend
mp_support_graph('cl_scatter_shapes') = {'*', 'p', '*','p' };
mp_support_graph('cl_colors') = {'red', 'red', 'blue', 'blue'};

MEAN(VAL(EM,J)), MEAN(AP(EM,J)), MEAN(C(EM,J))

Tabulate value and policies:

% Set
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,6,1,4,5];
% Value Function
st_title = ['MEAN(MN_V_U_GAIN_CHECK(EM,J)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_v = ff_summ_nd_array(st_title, mn_V_U_gain_check, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(EM,J)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    edu    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99
    _____    ___    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________

      1       0       0         0.04847        0.04767       0.045314       0.042735       0.040445         0.0384       0.036575        0.03494        0.03347        0.03215       0.030963       0.029888       0.028844       0.027974       0.027184       0.026473        0.02583        0.02525       0.024727       0.024251       0.023827       0.023447       0.023077       0.022776       0.022511       0.022278       0.022077       0.021905       0.021761       0.021645       0.021554       0.021485       0.021492       0.021478       0.021484       0.021513       0.021568       0.021646       0.021749       0.021876       0.022027         0.0222       0.022762       0.022946        0.02303       0.023106       0.013015        0.02112       0.020957       0.020793       0.020627       0.020459       0.020294       0.020127        0.01996        0.01979       0.019614       0.019434       0.019255       0.019074       0.018887       0.018698       0.018511        0.01833       0.018164       0.018007       0.017861       0.017725       0.017596       0.017476       0.017358       0.017266       0.017192       0.017122       0.017031       0.016944       0.016859       0.016771       0.016665       0.016509       0.016255       0.015688 
      2       1       0         0.04626       0.045083       0.040135       0.035433       0.031622       0.028506        0.02594       0.023813        0.02204       0.020558       0.019308       0.018255       0.017314        0.01656       0.015917       0.015373       0.014912       0.014517       0.014187       0.013909       0.013677       0.013484       0.013309       0.013181        0.01308       0.013001        0.01294         0.0129       0.012877       0.012872       0.012876       0.012892       0.012947       0.012984       0.013031       0.013088       0.013155       0.013233       0.013323       0.013427       0.013544       0.013676       0.014043       0.014187       0.014316       0.014583      0.0093356       0.015811       0.015687       0.015563       0.015438       0.015312       0.015184       0.015057       0.014928       0.014799       0.014666       0.014531       0.014397       0.014261       0.014122       0.013982       0.013842       0.013711       0.013588       0.013473       0.013363       0.013255       0.013154       0.013065       0.012984       0.012911       0.012831       0.012754       0.012685       0.012628       0.012556       0.012478       0.012405       0.012338       0.012199       0.011791 
      3       0       1        0.010726       0.010058      0.0092963      0.0085699      0.0079386      0.0073873      0.0069068      0.0064864      0.0061151      0.0057902      0.0055051      0.0052527      0.0050203      0.0048273      0.0046577      0.0045111      0.0043835      0.0042736      0.0041793      0.0040985      0.0040326      0.0039795      0.0039334       0.003903      0.0038829      0.0038727      0.0038719      0.0038801      0.0038972      0.0039231      0.0039575      0.0039989       0.004058      0.0041201      0.0041902        0.00427      0.0043598      0.0044607      0.0045731      0.0046981      0.0048372      0.0049921      0.0052317      0.0054317      0.0056559      0.0059524      0.0050037      0.0071342      0.0072325      0.0073311        0.00743      0.0075311      0.0076251      0.0077121      0.0078041      0.0078827      0.0079502      0.0080159      0.0080893      0.0081529      0.0082034      0.0082428      0.0082783      0.0083092      0.0083402       0.008376      0.0084091      0.0084337      0.0084522      0.0084679      0.0084881      0.0085056      0.0085212      0.0085223      0.0085153      0.0085096      0.0085017      0.0084969       0.008487      0.0084319      0.0082566       0.007676 
      4       1       1       0.0089734      0.0083275      0.0074368      0.0066048      0.0059203      0.0053506       0.004875      0.0044772       0.004141       0.003858      0.0036168       0.003413      0.0032309      0.0030834      0.0029569      0.0028509      0.0027618      0.0026855      0.0026235      0.0025729      0.0025329      0.0025022      0.0024772      0.0024626      0.0024553      0.0024547      0.0024591      0.0024708      0.0024882      0.0025123      0.0025405       0.002574      0.0026177      0.0026622      0.0027121      0.0027676      0.0028294      0.0028976      0.0029733      0.0030579      0.0031518      0.0032571      0.0034191      0.0035599       0.003725      0.0039443      0.0035017      0.0051646      0.0052409      0.0053192      0.0054012      0.0054739      0.0055419      0.0056072      0.0056676      0.0057243      0.0057872      0.0058473      0.0058903      0.0059271      0.0059675      0.0060035      0.0060356      0.0060686      0.0060922      0.0061115      0.0061322       0.006153      0.0061709      0.0061915      0.0062087       0.006214      0.0062143      0.0062125      0.0062115      0.0062123      0.0062244      0.0062381      0.0062294       0.006178      0.0060344      0.0056631 

% Consumption
st_title = ['MEAN(MN_MPC_U_GAIN_CHECK(EM,J)), welf_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR'))];
tb_az_c = ff_summ_nd_array(st_title, mn_MPC_U_gain_share_check, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(EM,J)), welf_checks=2, TR=0.0015999  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    edu    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99
    _____    ___    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________

      1       0       0       0.092366        0.10262         0.1087        0.10789        0.10721        0.10648        0.10595        0.10548        0.10482         0.1045        0.10413        0.10373        0.10319         0.1029        0.10259        0.10231        0.10215        0.10186        0.10168        0.10129        0.10105        0.10083        0.10037        0.10017       0.099856       0.099493       0.099122       0.098772       0.098544       0.098168       0.097873       0.097473         0.0973       0.097134       0.097019       0.096902       0.096878       0.096891        0.09701       0.097355       0.097838        0.09857       0.099922        0.10119        0.10376        0.11118        0.11133        0.15488        0.15726        0.15974        0.16223        0.16538        0.16893        0.17215        0.17528        0.17867        0.18235        0.18632        0.19029        0.19423         0.1987        0.20339        0.20908        0.21553        0.22225        0.22938        0.23715        0.24503        0.25362        0.26362        0.27435        0.28571        0.29799        0.31287        0.32782        0.34503        0.36619         0.3937        0.43104        0.49201        0.61519        0.99996  
      2       1       0        0.11637         0.1417        0.15261        0.14614         0.1405        0.13527        0.13049        0.12647        0.12275        0.11938        0.11641        0.11382        0.11131        0.10929        0.10748        0.10593        0.10462         0.1034        0.10241        0.10163        0.10094        0.10031       0.099617       0.099233       0.098868       0.098406       0.098041       0.097863       0.097441       0.097259       0.097042       0.096879       0.096768       0.096522       0.096366       0.096322       0.096249       0.096199       0.096313       0.096502       0.096913       0.097494       0.098837       0.099966        0.10256        0.10928        0.11009        0.15883        0.16184        0.16494        0.16753         0.1701        0.17301        0.17608        0.17935        0.18281        0.18646        0.19042         0.1945         0.1986        0.20332        0.20824        0.21401        0.22038        0.22681        0.23423        0.24214        0.24969        0.25868        0.26907        0.27995        0.29111        0.30291        0.31746        0.33225        0.34851        0.36932        0.39669        0.43449        0.49549        0.61813        0.99996  
      3       0       1       0.098134        0.10328         0.1058        0.10505        0.10409        0.10299        0.10242        0.10262        0.10209        0.10093        0.10032        0.10038        0.10043       0.099923       0.099065       0.098389       0.097804       0.097063       0.096795       0.096238       0.095807       0.095208       0.094867       0.094803       0.094436       0.094111        0.09378       0.093171       0.092735       0.092494       0.092193       0.091841       0.091665       0.091361       0.091382       0.091178       0.091734        0.09206        0.09213       0.092555       0.092901       0.093512         0.0944       0.095233       0.095811        0.10076        0.10175        0.12531         0.1192        0.12214        0.12535        0.12678        0.12716        0.13414        0.13897        0.13823         0.1346        0.14417        0.15539        0.16295         0.1591        0.15953        0.16925        0.18128        0.19069        0.19783        0.20618        0.21221        0.22061        0.22971        0.24106        0.25759        0.27272        0.28158         0.2927        0.30583        0.32679        0.35837        0.40095        0.47177        0.59988        0.99997  
      4       1       1        0.11704        0.13112        0.13343        0.12889        0.12573        0.12281        0.11786        0.11446        0.11215        0.11022        0.10755        0.10535        0.10389        0.10271        0.10085       0.098923       0.097953        0.09869       0.099161       0.098797       0.098142       0.097681       0.097449       0.096775       0.096391       0.095822       0.095488       0.095054       0.094524       0.093972       0.093724       0.093562        0.09358       0.093075       0.091896       0.091193       0.090655       0.090515       0.090751        0.09085       0.091123       0.091322       0.092882       0.094368        0.09631       0.099898        0.10066         0.1257        0.12886         0.1373        0.13959        0.13252         0.1325        0.13291        0.13229        0.13904        0.15087        0.15126        0.14298        0.15318        0.16487        0.16811        0.17124        0.18501        0.19411        0.19478         0.2066        0.21648         0.2299        0.24422        0.25003        0.25461        0.26644        0.27771        0.29491         0.3144        0.33893        0.36552        0.40336        0.46198        0.59869        0.99997  

Graph Mean Values:

st_title = ['MEAN(MN\_V\_U\_GAIN\_CHECK(EM,J)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_V\_U\_GAIN\_CHECK(EM,J))'};
ff_graph_grid((tb_az_v{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Consumption (MPC: Share of Check Consumed):

st_title = ['MEAN(MN\_MPC\_U\_GAIN\_CHECK(EM,J)), welf\_checks=' num2str(welf_checks) ', TR=' num2str(mp_params('TR')) ''];
mp_support_graph('cl_st_graph_title') = {st_title};
mp_support_graph('cl_st_ytitle') = {'MEAN(MN\_MPC\_U\_GAIN\_CHECK(EM,J))'};
ff_graph_grid((tb_az_c{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);