1 2019 Full States EV and EC of One Check

This is the example vignette for function: snw_evuvw19_jaeemk from the PrjOptiSNW Package. 2019 integrated over VU and VW, given optimal savings choices, unemployment shocks and various expectations.

1.1 Test SNW_EVUVW19_JAEEMK Defaults

Call the function with defaults.

clear all;
st_solu_type = 'bisec_vec';

% Solve the VFI Problem and get Value Function
mp_params = snw_mp_param('default_docdense');
mp_params('beta') = 0.95;
% 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=488.7831
----------------------------------------
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    -1.2728e+08    -2.9126    20.655    -7.0915      -485.24    16.447
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3962e+09      31.95    36.423       1.14            0    160.21
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3374e+08     5.3487    8.4439     1.5787     0.036717    141.66

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

    r1     -274.81    -274.42    -271.94    -266.29    -257.26     14.439     14.533     14.626     14.718     14.809
    r2     -265.29     -264.9    -262.43    -256.84    -248.12     14.494     14.585     14.674     14.763      14.85
    r3     -255.77    -255.38    -252.93    -247.53    -239.24      14.55     14.636     14.723     14.808     14.892
    r4     -246.16     -245.8    -243.52    -238.46    -230.68     14.606     14.689     14.772     14.853     14.935
    r5     -237.48    -237.14    -235.01    -230.26    -222.92     14.654     14.734     14.813     14.891      14.97
    r79    -9.6662     -9.655    -9.5783    -9.3823    -9.0457     2.4698     2.4801     2.4898     2.4989     2.5075
    r80    -8.7031    -8.6919    -8.6152    -8.4192    -8.0826      2.253      2.261     2.2685     2.2755     2.2822
    r81    -7.5138    -7.5026    -7.4258    -7.2298    -6.8933     1.9749     1.9803     1.9855     1.9904      1.995
    r82    -5.9155    -5.9043    -5.8275    -5.6315     -5.295      1.582     1.5851      1.588     1.5907     1.5933
    r83    -3.5892     -3.578    -3.5012    -3.3052    -2.9687    0.97904    0.98004    0.98097    0.98185    0.98267

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     117.66     123.39      129.3     135.72 
    r2     0     0     0.00051498    0.0057684    0.020245    112.16      117.7     123.42     129.34     135.75 
    r3     0     0     0.00020768    0.0041456    0.018539    112.19     117.72     123.45     129.36     135.77 
    r4     0     0     0.00010346    0.0041199    0.018307    112.85     118.38     124.11     130.02     136.44 
    r5     0     0     5.2907e-06    0.0041199    0.018091    113.53     119.06     124.78      130.7     137.11 
    r79    0     0              0            0           0    81.091     85.373     89.342     93.265     97.358 
    r80    0     0              0            0           0    76.137     79.759     83.442     86.995     90.589 
    r81    0     0              0            0           0    67.958     70.652     73.689     77.006     81.091 
    r82    0     0              0            0           0    50.126     53.467     56.319     57.902     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    12.272     12.557     12.851     13.152     13.152 
    r2     0.036717    0.037251    0.040477    0.045375    0.050668    12.508     12.794     13.089     13.391     13.391 
    r3     0.036717    0.037251    0.040784    0.046998    0.052374    12.762      13.05     13.345     13.646     13.646 
    r4     0.038144    0.038678    0.042314    0.048449    0.054031    13.008     13.297     13.593     13.891     13.891 
    r5     0.039534    0.040068    0.043802    0.049839    0.055635    13.245     13.534      13.83     14.125     14.125 
    r79      0.2179     0.21844     0.22216     0.23228     0.25197    35.858       37.4     39.448      41.74     44.062 
    r80      0.2179     0.21844     0.22216     0.23228     0.25197    40.785     42.986     45.321     47.983     50.804 
    r81      0.2179     0.21844     0.22216     0.23228     0.25197    48.942     52.071     55.052      57.95     60.279 
    r82      0.2179     0.21844     0.22216     0.23228     0.25197    66.755     69.238     72.404     77.036     80.765 
    r83      0.2179     0.21844     0.22216     0.23228     0.25197    116.87     122.69     128.71     134.92     141.34 

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=482.1886
----------------------------------------
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    -1.2728e+08    -2.9126    20.655    -7.0915      -485.24    16.447
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3962e+09      31.95    36.423       1.14            0    160.21
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3374e+08     5.3487    8.4439     1.5787     0.036717    141.66

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

    r1     -274.81    -274.42    -271.94    -266.29    -257.26     14.439     14.533     14.626     14.718     14.809
    r2     -265.29     -264.9    -262.43    -256.84    -248.12     14.494     14.585     14.674     14.763      14.85
    r3     -255.77    -255.38    -252.93    -247.53    -239.24      14.55     14.636     14.723     14.808     14.892
    r4     -246.16     -245.8    -243.52    -238.46    -230.68     14.606     14.689     14.772     14.853     14.935
    r5     -237.48    -237.14    -235.01    -230.26    -222.92     14.654     14.734     14.813     14.891      14.97
    r79    -9.6662     -9.655    -9.5783    -9.3823    -9.0457     2.4698     2.4801     2.4898     2.4989     2.5075
    r80    -8.7031    -8.6919    -8.6152    -8.4192    -8.0826      2.253      2.261     2.2685     2.2755     2.2822
    r81    -7.5138    -7.5026    -7.4258    -7.2298    -6.8933     1.9749     1.9803     1.9855     1.9904      1.995
    r82    -5.9155    -5.9043    -5.8275    -5.6315     -5.295      1.582     1.5851      1.588     1.5907     1.5933
    r83    -3.5892     -3.578    -3.5012    -3.3052    -2.9687    0.97904    0.98004    0.98097    0.98185    0.98267

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     117.66     123.39      129.3     135.72 
    r2     0     0     0.00051498    0.0057684    0.020245    112.16      117.7     123.42     129.34     135.75 
    r3     0     0     0.00020768    0.0041456    0.018539    112.19     117.72     123.45     129.36     135.77 
    r4     0     0     0.00010346    0.0041199    0.018307    112.85     118.38     124.11     130.02     136.44 
    r5     0     0     5.2907e-06    0.0041199    0.018091    113.53     119.06     124.78      130.7     137.11 
    r79    0     0              0            0           0    81.091     85.373     89.342     93.265     97.358 
    r80    0     0              0            0           0    76.137     79.759     83.442     86.995     90.589 
    r81    0     0              0            0           0    67.958     70.652     73.689     77.006     81.091 
    r82    0     0              0            0           0    50.126     53.467     56.319     57.902     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    12.272     12.557     12.851     13.152     13.152 
    r2     0.036717    0.037251    0.040477    0.045375    0.050668    12.508     12.794     13.089     13.391     13.391 
    r3     0.036717    0.037251    0.040784    0.046998    0.052374    12.762      13.05     13.345     13.646     13.646 
    r4     0.038144    0.038678    0.042314    0.048449    0.054031    13.008     13.297     13.593     13.891     13.891 
    r5     0.039534    0.040068    0.043802    0.049839    0.055635    13.245     13.534      13.83     14.125     14.125 
    r79      0.2179     0.21844     0.22216     0.23228     0.25197    35.858       37.4     39.448      41.74     44.062 
    r80      0.2179     0.21844     0.22216     0.23228     0.25197    40.785     42.986     45.321     47.983     50.804 
    r81      0.2179     0.21844     0.22216     0.23228     0.25197    48.942     52.071     55.052      57.95     60.279 
    r82      0.2179     0.21844     0.22216     0.23228     0.25197    66.755     69.238     72.404     77.036     80.765 
    r83      0.2179     0.21844     0.22216     0.23228     0.25197    116.87     122.69     128.71     134.92     141.34 

% 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=484.2447
----------------------------------------
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    -1.3655e+08    -3.1246    21.031    -6.7306         -505    16.431
    ap_VFI      2     2      6      4.37e+07     83     5.265e+05     1.3778e+09     31.529    36.357     1.1531            0    151.79
    cons_VFI    3     3      6      4.37e+07     83     5.265e+05     2.3211e+08     5.3114    8.4428     1.5895     0.027723    141.08

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

    r1     -283.64    -282.96    -278.82    -271.25    -260.97     14.399     14.494     14.589     14.682     14.774
    r2     -274.13    -273.45    -269.31    -261.74    -251.67     14.454     14.546     14.637     14.727     14.816
    r3     -264.61    -263.93    -259.79    -252.24    -242.65      14.51     14.598     14.686     14.773     14.858
    r4     -254.66    -254.03    -250.17    -243.06    -234.04     14.565      14.65     14.734     14.817     14.899
    r5     -245.67    -245.08    -241.48    -234.76    -226.24     14.611     14.693     14.774     14.854     14.933
    r79    -9.6662     -9.655    -9.5783    -9.3823    -9.0457     2.4688     2.4792      2.489     2.4982     2.5068
    r80    -8.7031    -8.6919    -8.6152    -8.4192    -8.0826     2.2523     2.2603     2.2679      2.275     2.2817
    r81    -7.5138    -7.5026    -7.4258    -7.2298    -6.8933     1.9743     1.9799     1.9851       1.99     1.9947
    r82    -5.9155    -5.9043    -5.8275    -5.6315     -5.295     1.5817     1.5848     1.5878     1.5905     1.5931
    r83    -3.5892     -3.578    -3.5012    -3.3052    -2.9687    0.97895    0.97995    0.98089    0.98178    0.98261

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

    r1     0     0     0      0.0011815    0.013905    109.97     115.52     121.25     127.17     133.28 
    r2     0     0     0     0.00090277    0.013905    109.94     115.49     121.22     127.14     133.25 
    r3     0     0     0     0.00051498    0.013905     109.9     115.44     121.17     127.09      133.2 
    r4     0     0     0     0.00051498    0.013905    110.33     115.88      121.6     127.52     133.64 
    r5     0     0     0     0.00048777    0.013905    110.78     116.32     122.05     127.97     134.09 
    r79    0     0     0              0           0    80.977     84.854     88.823     92.746     96.839 
    r80    0     0     0              0           0    75.625     79.248      82.93     86.483     90.439 
    r81    0     0     0              0           0    67.452     70.146     73.182     76.669     81.091 
    r82    0     0     0              0           0    50.126     53.467     55.817       57.4     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    11.996     12.272     12.557     12.851     13.152 
    r2     0.027723    0.028258    0.031999    0.041253    0.048028     12.23     12.508     12.794     13.089     13.391 
    r3     0.027723    0.028258    0.031999    0.041641    0.048028    12.483     12.762      13.05     13.345     13.646 
    r4     0.028805    0.029339    0.033081    0.042722    0.049108    12.728     13.008     13.297     13.593     13.891 
    r5     0.029859    0.030394    0.034135    0.043802    0.050161    12.963     13.245     13.534      13.83     14.125 
    r79      0.2179     0.21844     0.22216     0.23228     0.25197    35.453       37.4     39.448      41.74     44.062 
    r80      0.2179     0.21844     0.22216     0.23228     0.25197    40.785     42.986     45.321     47.983     50.442 
    r81      0.2179     0.21844     0.22216     0.23228     0.25197    48.942     52.071     55.052      57.78     59.773 
    r82      0.2179     0.21844     0.22216     0.23228     0.25197    66.254     68.736     72.404     77.036     80.263 
    r83      0.2179     0.21844     0.22216     0.23228     0.25197    116.37     122.19     128.21     134.43     140.84 

[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=1911.1684

% Get Matrixes
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=358.215

1.2 Solve for 2019 Evuvw With 0 and 2 Checks

% Call Function
welf_checks = 0;
[ev19_jaeemk_check0, ec19_jaeemk_check0, ev20_jaeemk_check0, ec20_jaeemk_check0] = snw_evuvw19_jaeemk(...
    welf_checks, st_solu_type, mp_params, mp_controls, ...
    V_emp_2020, cons_emp_2020, V_unemp_2020, cons_unemp_2020, mp_precompute_res);

Completed SNW_A4CHK_WRK_BISEC_VEC;welf_checks=0;TR=0.0017225;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=68.836
Completed SNW_A4CHK_UNEMP_BISEC_VEC;welf_checks=0;TR=0.0017225;xi=0.5;b=0.5;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=69.8961
Completed SNW_EVUVW20_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=8.2469
Completed SNW_EVUVW19_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=5058.1482
----------------------------------------
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     1.9762e+08     4.5774    5.3272     1.1638     0.036494    64.569
    ec20_jaeemk    2     2      6        4.37e+07     83     5.265e+05     2.3357e+08     5.3448    8.4447       1.58     0.033462    141.66
    ev19_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -1.2119e+08    -2.8072    20.003    -7.1255      -454.58    16.358
    ev20_jaeemk    4     4      6        4.37e+07     83     5.265e+05    -1.2937e+08    -2.9604    20.785     -7.021      -492.39    16.445

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    12.024     12.296     12.576     12.864     13.138 
    r2     0.036494    0.036494    0.037029    0.041745    0.049665    12.268     12.541     12.822     13.111     13.382 
    r3     0.037912    0.037912    0.038127    0.041994    0.050655    12.503     12.777      13.06     13.349     13.618 
    r4     0.039293    0.039293    0.039401    0.043382    0.052052    12.761     13.036     13.319     13.607     13.842 
    r5     0.040635    0.040635     0.04064    0.044725    0.053494     13.01     13.286     13.569     13.855     14.055 
    r78      0.2179      0.2179      0.2179      0.2179      0.2179    27.797     28.793     29.808     30.995     32.447 
    r79      0.2179      0.2179      0.2179      0.2179      0.2179    30.454     31.684     32.756     33.984     35.551 
    r80      0.2179      0.2179      0.2179      0.2179      0.2179    33.715     35.537     37.399      38.98     40.213 
    r81      0.2179      0.2179      0.2179      0.2179      0.2179     40.14     41.425     43.212     45.644     48.477 
    r82      0.2179      0.2179      0.2179      0.2179      0.2179    52.118     55.559     58.496     60.127     62.893 

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    12.249     12.534     12.827     13.127     13.152 
    r2     0.033462    0.033996    0.037408    0.043883    0.049712    12.485     12.771     13.065     13.366     13.391 
    r3     0.033462    0.033996    0.037604    0.045059    0.050801    12.739     13.026     13.321     13.621     13.646 
    r4     0.034763    0.035298    0.038972    0.046376    0.052249    12.985     13.273     13.568     13.866     13.891 
    r5     0.036032    0.036566    0.040303    0.047654    0.053654    13.221      13.51     13.805     14.101     14.125 
    r79      0.2179     0.21844     0.22216     0.23228     0.25197    35.858       37.4     39.448      41.74     44.062 
    r80      0.2179     0.21844     0.22216     0.23228     0.25197    40.785     42.986     45.321     47.983     50.804 
    r81      0.2179     0.21844     0.22216     0.23228     0.25197    48.942     52.071     55.052      57.95     60.279 
    r82      0.2179     0.21844     0.22216     0.23228     0.25197    66.755     69.238     72.404     77.036     80.765 
    r83      0.2179     0.21844     0.22216     0.23228     0.25197    116.87     122.69     128.71     134.92     141.34 

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

    r1     -264.92    -264.92    -264.47    -260.13    -252.27     14.364     14.458     14.551     14.643     14.728
    r2      -254.9     -254.9    -254.45     -250.7    -243.18     14.418     14.509     14.599     14.688     14.769
    r3     -244.75    -244.75    -244.59    -241.74    -234.51     14.473      14.56     14.646     14.732      14.81
    r4      -235.6     -235.6    -235.52     -232.8    -226.09     14.529     14.612     14.695     14.777     14.844
    r5     -227.32    -227.32    -227.32     -224.7    -218.45     14.576     14.656     14.736     14.814      14.87
    r78    -9.6725    -9.6725    -9.6725    -9.6725    -9.6725     2.4176     2.4297      2.441     2.4518     2.4621
    r79    -8.7092    -8.7092    -8.7092    -8.7092    -8.7092     2.2043      2.215     2.2241     2.2322     2.2401
    r80    -7.5196    -7.5196    -7.5196    -7.5196    -7.5196     1.9308      1.938     1.9447     1.9507     1.9562
    r81    -5.9209    -5.9209    -5.9209    -5.9209    -5.9209     1.5463       1.55     1.5539      1.558     1.5624
    r82    -3.5937    -3.5937    -3.5937    -3.5937    -3.5937    0.95581    0.95855    0.96061    0.96167    0.96338

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

    r1     -278.01    -277.51    -274.43    -268.08     -258.6     14.436      14.53     14.623     14.715     14.806
    r2     -268.49       -268    -264.92    -258.61    -249.41     14.491     14.582     14.671      14.76     14.847
    r3     -258.97    -258.47    -255.41    -249.23    -240.47     14.546     14.633     14.719     14.805     14.889
    r4     -249.24    -248.78    -245.93    -240.13    -231.89     14.602     14.686     14.768      14.85     14.932
    r5     -240.44    -240.01    -237.35    -231.89    -224.12      14.65      14.73      14.81     14.888     14.967
    r79    -9.6662     -9.655    -9.5783    -9.3823    -9.0457     2.4698     2.4801     2.4898     2.4989     2.5075
    r80    -8.7031    -8.6919    -8.6152    -8.4192    -8.0826      2.253      2.261     2.2685     2.2755     2.2822
    r81    -7.5138    -7.5026    -7.4258    -7.2298    -6.8933     1.9749     1.9803     1.9855     1.9904      1.995
    r82    -5.9155    -5.9043    -5.8275    -5.6315     -5.295      1.582     1.5851      1.588     1.5907     1.5933
    r83    -3.5892     -3.578    -3.5012    -3.3052    -2.9687    0.97904    0.98004    0.98097    0.98185    0.98267

% Call Function
welf_checks = 2;
[ev19_jaeemk_check2, ec19_jaeemk_check2, ev20_jaeemk_check2, ec20_jaeemk_check2] = snw_evuvw19_jaeemk(...
    welf_checks, st_solu_type, mp_params, mp_controls, ...
    V_emp_2020, cons_emp_2020, V_unemp_2020, cons_unemp_2020, mp_precompute_res);

Completed SNW_A4CHK_WRK_BISEC_VEC;welf_checks=2;TR=0.0017225;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=69.6483
Completed SNW_A4CHK_UNEMP_BISEC_VEC;welf_checks=2;TR=0.0017225;xi=0.5;b=0.5;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=69.632
Completed SNW_EVUVW20_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=7.8042
Completed SNW_EVUVW19_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=4864.3569
----------------------------------------
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     1.9765e+08      4.578    5.3272     1.1636     0.039577    64.573
    ec20_jaeemk    2     2      6        4.37e+07     83     5.265e+05     2.3359e+08     5.3454    8.4448     1.5798     0.036651    141.67
    ev19_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -1.2064e+08    -2.7944     19.95    -7.1392         -449    16.358
    ev20_jaeemk    4     4      6        4.37e+07     83     5.265e+05    -1.2878e+08     -2.947    20.729    -7.0341      -485.95    16.445

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

    r1     0.039586    0.039586    0.040055    0.043746    0.049764    12.024     12.296     12.576     12.865     13.138 
    r2     0.039751    0.039751    0.040251    0.043953    0.050609    12.268     12.541     12.822     13.111     13.382 
    r3     0.041192    0.041192    0.041395    0.044454    0.051633    12.503     12.777      13.06     13.349     13.618 
    r4     0.042594    0.042594    0.042696    0.045859    0.053051    12.761     13.036     13.319     13.607     13.843 
    r5     0.043937    0.043937    0.043942     0.04725    0.054513     13.01     13.286     13.569     13.855     14.055 
    r78     0.22135     0.22135     0.22135     0.22135     0.22135    27.797     28.794     29.809     30.996     32.448 
    r79     0.22135     0.22135     0.22135     0.22135     0.22135    30.455     31.685     32.757     33.985     35.552 
    r80     0.22135     0.22135     0.22135     0.22135     0.22135    33.717     35.539     37.401     38.981     40.214 
    r81     0.22135     0.22135     0.22135     0.22135     0.22135    40.142     41.427     43.215     45.646     48.479 
    r82     0.22135     0.22135     0.22135     0.22135     0.22135    52.121     55.563       58.5      60.13     62.897 

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

    r1     0.036651    0.037139    0.039378    0.044197    0.049529     12.25     12.534     12.827     13.127     13.152 
    r2     0.036651    0.037139    0.039605    0.044899    0.050459    12.485     12.771     13.065     13.366     13.391 
    r3     0.036804    0.037319    0.040134    0.046059    0.051622    12.739     13.026     13.321     13.621     13.646 
    r4     0.038157    0.038682    0.041485      0.0474    0.053101    12.985     13.273     13.568     13.867     13.891 
    r5     0.039474    0.040008    0.042798    0.048699    0.054535    13.221      13.51     13.805     14.101     14.125 
    r79     0.22135     0.22188     0.22561     0.23572     0.25394    35.859     37.401     39.449     41.741     44.063 
    r80     0.22135     0.22188     0.22561     0.23572     0.25397    40.787     42.988     45.322     47.984     50.805 
    r81     0.22135     0.22188     0.22561     0.23572     0.25434    48.944     52.073     55.054     57.951      60.28 
    r82     0.22135     0.22188     0.22561     0.23572     0.25469    66.757      69.24     72.406     77.038     80.767 
    r83     0.22135     0.22188     0.22561     0.23572     0.25541    116.87     122.69     128.71     134.93     141.34 

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

    r1     -262.28    -262.28    -261.88    -258.26    -250.89     14.364     14.458     14.551     14.643     14.728
    r2     -252.28    -252.28    -251.88    -248.84    -241.85     14.418     14.509     14.599     14.688     14.769
    r3     -242.33    -242.33    -242.18    -239.92    -233.24     14.473      14.56     14.646     14.732      14.81
    r4     -233.33    -233.33    -233.27    -231.09    -224.88     14.529     14.612     14.695     14.777     14.844
    r5     -225.21    -225.21     -225.2     -223.1    -217.31     14.576     14.656     14.736     14.814      14.87
    r78    -9.6013    -9.6013    -9.6013    -9.6013    -9.6013     2.4176     2.4297      2.441     2.4518     2.4621
    r79    -8.6379    -8.6379    -8.6379    -8.6379    -8.6379     2.2043      2.215     2.2241     2.2322     2.2401
    r80    -7.4483    -7.4483    -7.4483    -7.4483    -7.4483     1.9308      1.938     1.9447     1.9507     1.9563
    r81    -5.8497    -5.8497    -5.8497    -5.8497    -5.8497     1.5463       1.55     1.5539      1.558     1.5624
    r82    -3.5225    -3.5225    -3.5225    -3.5225    -3.5225    0.95582    0.95855    0.96061    0.96167    0.96339

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

    r1     -275.12    -274.68    -272.28    -266.43    -257.32     14.436      14.53     14.623     14.715     14.806
    r2      -265.6    -265.16    -262.78    -257.01    -248.18     14.491     14.582     14.671      14.76     14.847
    r3     -256.09    -255.66    -253.32    -247.71    -239.31     14.546     14.633      14.72     14.805     14.889
    r4     -246.56    -246.15    -243.96    -238.69    -230.79     14.603     14.686     14.769      14.85     14.932
    r5     -237.94    -237.56     -235.5    -230.54    -223.08      14.65      14.73      14.81     14.888     14.967
    r79     -9.595     -9.584    -9.5115    -9.3234    -8.9958     2.4698     2.4801     2.4898     2.4989     2.5075
    r80    -8.6319    -8.6209    -8.5484    -8.3603    -8.0332      2.253      2.261     2.2685     2.2756     2.2822
    r81    -7.4426    -7.4316    -7.3591     -7.171    -6.8443     1.9749     1.9803     1.9855     1.9904      1.995
    r82    -5.8443    -5.8333    -5.7608    -5.5727    -5.2463      1.582     1.5851      1.588     1.5907     1.5933
    r83     -3.518     -3.507    -3.4345    -3.2464    -2.9207    0.97904    0.98004    0.98097    0.98185    0.98267

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=0.0017225  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
    _____    __________    __________    __________    __________    __________    __________    __________    __________    __________    __________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    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____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    ____________    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      1               0        0.5996       0.55567       0.50718       0.45861       0.41293        0.3714       0.33421       0.30106       0.27156       0.24532        0.22197         0.2012        0.18271        0.16626        0.15161        0.13857        0.12696        0.11662        0.10742       0.099215       0.091906        0.08538       0.079541       0.074304       0.069608       0.065406       0.061654       0.058316       0.055346       0.052696       0.050316       0.048187       0.046287       0.044604       0.043113       0.041801       0.040628       0.039583       0.038661       0.037838       0.037111       0.036463       0.035881        0.03536       0.034891        0.03447       0.034091       0.033749       0.033441       0.033161       0.032908       0.032679       0.032471       0.032284       0.032113       0.031957       0.031817       0.031688       0.031571       0.031465       0.031366       0.031277       0.031196        0.03112       0.031052       0.030989       0.030931       0.030878        0.03083       0.030785       0.030744       0.030707       0.030673       0.030642       0.030613       0.030587       0.030563       0.030542       0.030523       0.030506       0.030493         0.5996        0.55567        0.50718        0.45861        0.41293         0.3714        0.33421        0.30106        0.27156        0.24532        0.22197         0.2012        0.18271        0.16626        0.15161        0.13857        0.12696        0.11662         0.10742        0.099215        0.091906         0.08538        0.079541        0.074304        0.069608        0.065406        0.061653        0.058314        0.055338        0.052683        0.050297        0.048165         0.04627        0.044585        0.043102        0.041787        0.040613        0.039574        0.038649        0.037829        0.037101        0.036454        0.035875        0.035352        0.034885        0.034464        0.034085        0.033744        0.033436        0.033157        0.032904        0.032675        0.032468        0.032281         0.03211        0.031955        0.031814        0.031686        0.031569        0.031462        0.031365        0.031276        0.031194        0.031119        0.031051        0.030988         0.03093        0.030877        0.030829        0.030784        0.030744        0.030706        0.030672        0.030641        0.030613        0.030587        0.030563        0.030542        0.030523        0.030506        0.030492         0.56866          0.5265          0.4802         0.43399         0.39063          0.3513         0.31615         0.28488         0.25711         0.23244         0.21053         0.19105         0.17374         0.15834         0.14463         0.13242         0.12154         0.11186         0.10324         0.09555        0.088683        0.082541        0.077032        0.072086        0.067648        0.063672        0.060118        0.056946        0.054121        0.051598        0.049326        0.047298        0.045489        0.043878        0.042452        0.041184        0.040055        0.039048        0.038153        0.037357         0.03665         0.03602        0.035453        0.034944        0.034487        0.034074        0.033703        0.033368        0.033065        0.032791        0.032542        0.032316        0.032113        0.031928         0.03176        0.031607        0.031468        0.031341        0.031225        0.031121        0.031024        0.030936        0.030856        0.030781        0.030714        0.030652        0.030595        0.030543        0.030495        0.030451        0.030411        0.030374        0.030341         0.03031        0.030281        0.030256        0.030232        0.030211        0.030192        0.030176        0.030163         0.53474         0.49384         0.44883          0.4039         0.36179         0.32368         0.28971         0.25958         0.23291          0.2093          0.1884         0.16991         0.15354         0.13905         0.12623         0.11487         0.10481        0.095907        0.088019        0.081033         0.07484        0.069341        0.064446        0.060079        0.056184         0.05272        0.049646        0.046927        0.044522        0.042391        0.040489        0.038801        0.037305        0.035981        0.034814        0.033782        0.032863        0.032045         0.03132        0.030673        0.030097        0.029583        0.029119        0.028701        0.028324        0.027982        0.027674        0.027393        0.027138        0.026906        0.026695        0.026502        0.026326        0.026165        0.026018        0.025883         0.02576        0.025647        0.025543        0.025448         0.02536         0.02528        0.025206        0.025138        0.025075        0.025017        0.024965        0.024916        0.024871        0.024829        0.024791        0.024756        0.024724        0.024695        0.024668        0.024643         0.02462          0.0246        0.024582        0.024566        0.024553         0.52429          0.4836         0.43881         0.39411         0.35225         0.31439         0.28066         0.25078         0.22434         0.20097         0.18031         0.16204         0.14589         0.13161         0.11899         0.10784        0.097977        0.089261        0.081555        0.074746        0.068725        0.063389        0.058652        0.054437        0.050688        0.047364        0.044423        0.041832        0.039547        0.037531        0.035739        0.034156         0.03276        0.031529         0.03045        0.029499        0.028657        0.027912        0.027255         0.02667        0.026153        0.025694        0.025281         0.02491        0.024577        0.024275        0.024004        0.023759        0.023536        0.023334        0.023149        0.022981        0.022828        0.022688        0.022561        0.022444        0.022337        0.022239        0.022149        0.022067        0.021991        0.021921        0.021857        0.021797        0.021743        0.021692        0.021646        0.021603        0.021564        0.021528        0.021494        0.021463        0.021435        0.021409        0.021385        0.021364        0.021344        0.021326         0.02131        0.021296        0.021285 
      2      0.00051498        0.5996       0.55567       0.50718       0.45861       0.41293        0.3714       0.33421       0.30106       0.27156       0.24532        0.22197        0.20119         0.1827        0.16625         0.1516        0.13856        0.12695        0.11662        0.10741       0.099214       0.091904       0.085375       0.079534       0.074295         0.0696       0.065398       0.061646       0.058309        0.05534       0.052691       0.050311       0.048183       0.046283       0.044601       0.043111       0.041798       0.040625       0.039581       0.038659       0.037837        0.03711       0.036462        0.03588       0.035359       0.034891       0.034469        0.03409       0.033749        0.03344       0.033161       0.032908       0.032679       0.032471       0.032284       0.032113       0.031957       0.031817       0.031688       0.031571       0.031464       0.031366       0.031277       0.031195        0.03112       0.031052       0.030989       0.030931       0.030878        0.03083       0.030785       0.030744       0.030707       0.030673       0.030642       0.030613       0.030587       0.030563       0.030542       0.030523       0.030506       0.030493         0.5996        0.55567        0.50718        0.45861        0.41293         0.3714        0.33421        0.30106        0.27156        0.24532        0.22197        0.20119         0.1827        0.16625         0.1516        0.13856        0.12695        0.11662         0.10741        0.099214        0.091904        0.085375        0.079534        0.074295          0.0696        0.065398        0.061645        0.058306        0.055331        0.052677        0.050293        0.048161        0.046267        0.044581          0.0431        0.041784         0.04061        0.039572        0.038647        0.037827          0.0371        0.036453        0.035873        0.035351        0.034884        0.034463        0.034084        0.033744        0.033435        0.033156        0.032904        0.032675        0.032468         0.03228         0.03211        0.031955        0.031814        0.031686        0.031568        0.031462        0.031365        0.031275        0.031194        0.031119        0.031051        0.030988         0.03093        0.030877        0.030829        0.030784        0.030744        0.030706        0.030672        0.030641        0.030612        0.030587        0.030563        0.030542        0.030523        0.030506        0.030492         0.56852         0.52636         0.48008         0.43387         0.39052          0.3512         0.31605         0.28478         0.25701         0.23235         0.21044         0.19097         0.17366         0.15826         0.14456         0.13236         0.12149         0.11181          0.1032        0.095512        0.088651        0.082509        0.077003        0.072054        0.067618        0.063643        0.060092        0.056922          0.0541        0.051579         0.04931        0.047282        0.045475        0.043866        0.042441        0.041174        0.040044        0.039038        0.038144        0.037349        0.036642        0.036012        0.035446        0.034937        0.034479        0.034067        0.033696        0.033361        0.033058        0.032784        0.032536         0.03231        0.032106        0.031921        0.031753          0.0316        0.031461        0.031335        0.031219        0.031114        0.031018         0.03093         0.03085        0.030775        0.030708        0.030646        0.030589        0.030537        0.030489        0.030445        0.030405        0.030368        0.030335        0.030304        0.030275         0.03025        0.030226        0.030205        0.030186         0.03017        0.030157         0.53473         0.49383         0.44883         0.40389         0.36179         0.32368          0.2897         0.25958          0.2329         0.20929         0.18839          0.1699         0.15353         0.13904         0.12621         0.11485          0.1048        0.095895         0.08801        0.081026        0.074834        0.069332        0.064435        0.060066        0.056172        0.052708        0.049634        0.046916        0.044512        0.042382        0.040481        0.038794        0.037298        0.035975        0.034809        0.033777        0.032858        0.032041        0.031315        0.030668        0.030092        0.029579        0.029115        0.028697         0.02832        0.027979         0.02767         0.02739        0.027135        0.026903        0.026692        0.026498        0.026323        0.026162        0.026015         0.02588        0.025757        0.025644         0.02554        0.025445        0.025358        0.025277        0.025203        0.025135        0.025073        0.025015        0.024962        0.024913        0.024868        0.024826        0.024788        0.024753        0.024721        0.024692        0.024665         0.02464        0.024618        0.024597        0.024579        0.024564        0.024551         0.52429         0.48359         0.43881         0.39411         0.35225         0.31439         0.28066         0.25078         0.22434         0.20097          0.1803         0.16203         0.14588          0.1316         0.11898         0.10783        0.097968        0.089254        0.081551        0.074744        0.068723        0.063384        0.058645        0.054428        0.050679        0.047356        0.044415        0.041824         0.03954        0.037526        0.035735        0.034152        0.032756        0.031526        0.030447        0.029497        0.028655         0.02791        0.027252        0.026669        0.026151        0.025693        0.025279        0.024909        0.024576        0.024275        0.024004        0.023758        0.023535        0.023333        0.023148         0.02298        0.022827        0.022688        0.022561        0.022444        0.022337        0.022239        0.022149        0.022067        0.021991        0.021921        0.021856        0.021797        0.021743        0.021692        0.021646        0.021603        0.021564        0.021527        0.021494        0.021463        0.021435        0.021409        0.021385        0.021363        0.021343        0.021326         0.02131        0.021296        0.021284 
      3       0.0041199       0.59858       0.55412       0.50516       0.45663       0.41125       0.37004       0.33309       0.30014       0.27079       0.24467        0.22143        0.20075        0.18233        0.16594        0.15134        0.13834        0.12676        0.11644        0.10725       0.099065       0.091768       0.085239       0.079418       0.074187       0.069502       0.065313       0.061577       0.058249        0.05529       0.052645        0.05027       0.048146       0.046249       0.044571       0.043084       0.041775       0.040604       0.039565       0.038645       0.037825       0.037099       0.036452       0.035872       0.035353       0.034885       0.034465       0.034086       0.033745       0.033436       0.033157       0.032905       0.032676       0.032469       0.032282       0.032111       0.031956       0.031815       0.031687       0.031569       0.031463       0.031365       0.031276       0.031195       0.031119       0.031051       0.030988       0.030931       0.030878       0.030829       0.030785       0.030744       0.030706       0.030672       0.030641       0.030612       0.030586       0.030563       0.030541       0.030522       0.030506       0.030492        0.59858        0.55412        0.50516        0.45663        0.41125        0.37004        0.33309        0.30014        0.27079        0.24467        0.22143        0.20075        0.18233        0.16594        0.15134        0.13834        0.12676        0.11644         0.10725        0.099065        0.091768        0.085239        0.079418        0.074187        0.069502        0.065313        0.061576        0.058246         0.05528        0.052631         0.05025        0.048124        0.046233        0.044551        0.043075         0.04176         0.04059        0.039554        0.038633        0.037815        0.037089        0.036443        0.035865        0.035345        0.034878        0.034458         0.03408         0.03374        0.033431        0.033153        0.032901        0.032672        0.032465        0.032278        0.032108        0.031953        0.031813        0.031684        0.031567        0.031461        0.031363        0.031274        0.031193        0.031118         0.03105        0.030987        0.030929        0.030877        0.030828        0.030784        0.030743        0.030706        0.030672         0.03064        0.030612        0.030586        0.030562        0.030541        0.030522        0.030506        0.030492         0.56657         0.52396         0.47726         0.43113         0.38811         0.34914         0.31427         0.28322         0.25562         0.23111         0.20933         0.18999         0.17278         0.15748         0.14388         0.13176         0.12097         0.11135         0.10276        0.095114         0.08829        0.082177        0.076715        0.071791        0.067374        0.063418        0.059887        0.056738         0.05394        0.051432        0.049179        0.047165        0.045362        0.043763        0.042349        0.041089        0.039965        0.038965        0.038076        0.037284         0.03658        0.035953        0.035389        0.034882        0.034426        0.034015        0.033645        0.033311        0.033009        0.032735        0.032487        0.032262        0.032059        0.031875        0.031707        0.031554        0.031415        0.031289        0.031173        0.031069        0.030972        0.030884        0.030804         0.03073        0.030663          0.0306        0.030544        0.030492        0.030444          0.0304         0.03036        0.030323         0.03029        0.030259         0.03023        0.030205        0.030181         0.03016        0.030141        0.030125        0.030112         0.53365         0.49222         0.44675         0.40185         0.36005         0.32226         0.28854          0.2586         0.23208          0.2086         0.18781         0.16941         0.15312         0.13869         0.12591         0.11459         0.10457        0.095686        0.087819        0.080846        0.074667        0.069166         0.06429        0.059929        0.056046        0.052596        0.049539         0.04683        0.044438        0.042313        0.040417        0.038736        0.037242        0.035923        0.034762        0.033732        0.032817        0.032003         0.03128        0.030636        0.030061        0.029549        0.029087         0.02867        0.028295        0.027954        0.027646        0.027367        0.027112         0.02688        0.026669        0.026476        0.026301         0.02614        0.025994        0.025859        0.025736        0.025623        0.025519        0.025425        0.025337        0.025257        0.025183        0.025114        0.025052        0.024994        0.024942        0.024893        0.024848        0.024806        0.024768        0.024733        0.024701        0.024672        0.024645         0.02462        0.024598        0.024577        0.024559        0.024544         0.02453         0.52327         0.48204         0.43678         0.39212         0.35056         0.31302         0.27954         0.24985         0.22357         0.20032         0.17976         0.16158         0.14551         0.13129         0.11872          0.1076        0.097767        0.089075         0.08139        0.074593        0.068584        0.063246        0.058526        0.054316        0.050579        0.047268        0.044343        0.041761        0.039488        0.037479        0.035692        0.034115        0.032721        0.031495         0.03042        0.029473        0.028633        0.027892        0.027237        0.026655         0.02614        0.025682         0.02527        0.024901        0.024569        0.024268        0.023997        0.023753         0.02353        0.023328        0.023144        0.022976        0.022823        0.022684        0.022557         0.02244        0.022334        0.022236        0.022146        0.022064        0.021988        0.021918        0.021854        0.021794         0.02174        0.021689        0.021643          0.0216        0.021561        0.021525        0.021491        0.021461        0.021432        0.021406        0.021383        0.021361        0.021341        0.021323        0.021307        0.021293        0.021282 
      4        0.013905       0.49775       0.46232       0.42566       0.38891       0.35398       0.32177       0.29251       0.26611       0.24243        0.2212         0.2021        0.18489        0.16939        0.15544        0.14287        0.13153        0.12126        0.11199        0.10363       0.096127       0.089391       0.083335       0.077862       0.072936       0.068492       0.064493       0.060913       0.057706       0.054849       0.052276       0.049961       0.047884       0.046025       0.044376       0.042914       0.041622       0.040462       0.039439       0.038524       0.037712       0.036993       0.036352       0.035777        0.03526       0.034796       0.034378       0.034001       0.033662       0.033355       0.033078       0.032827       0.032599       0.032393       0.032206       0.032036       0.031881       0.031741       0.031613       0.031496        0.03139       0.031292       0.031203       0.031122       0.031047       0.030979       0.030916       0.030858       0.030805       0.030757       0.030712       0.030672       0.030634         0.0306       0.030569        0.03054       0.030515       0.030491       0.030469        0.03045       0.030434        0.03042        0.49775        0.46232        0.42566        0.38891        0.35398        0.32177        0.29251        0.26611        0.24243         0.2212         0.2021        0.18489        0.16939        0.15544        0.14287        0.13153        0.12126        0.11199         0.10363        0.096127        0.089391        0.083335        0.077862        0.072936        0.068492        0.064492        0.060912        0.057701        0.054837        0.052259         0.04994        0.047866         0.04601        0.044356        0.042905        0.041605        0.040451        0.039427        0.038512        0.037703        0.036983        0.036343        0.035769        0.035252         0.03479        0.034371        0.033995        0.033658         0.03335        0.033073        0.032823        0.032595        0.032389        0.032203        0.032033        0.031878        0.031738         0.03161        0.031494        0.031388         0.03129        0.031202         0.03112        0.031045        0.030977        0.030914        0.030857        0.030804        0.030756        0.030712        0.030671        0.030634          0.0306        0.030569         0.03054        0.030514         0.03049        0.030469         0.03045        0.030434         0.03042         0.46358         0.43013         0.39585         0.36161         0.32917         0.29931         0.27223         0.24782         0.22597         0.20641         0.18883           0.173         0.15875         0.14593         0.13439         0.12396         0.11453         0.10601        0.098344        0.091448        0.085251        0.079672        0.074614        0.070055         0.06593        0.062209        0.058865        0.055864        0.053183        0.050768        0.048597         0.04665        0.044903        0.043349        0.041971        0.040738        0.039638        0.038658        0.037784        0.037005        0.036312        0.035694        0.035138        0.034637        0.034187         0.03378        0.033413        0.033083        0.032783        0.032511        0.032266        0.032042         0.03184        0.031656        0.031489        0.031337        0.031199        0.031073        0.030958        0.030854        0.030758         0.03067         0.03059        0.030516        0.030449        0.030387         0.03033        0.030278        0.030231        0.030187        0.030147         0.03011        0.030076        0.030046        0.030017        0.029992        0.029968        0.029947        0.029928        0.029912        0.029898         0.43265         0.40027         0.36709         0.33398         0.30264         0.27385         0.24782         0.22445          0.2036           0.185         0.16837         0.15344         0.14007         0.12808         0.11734         0.10768        0.098979        0.091138         0.08411        0.077823        0.072208        0.067182        0.062656        0.058603        0.054963        0.051705        0.048805         0.04622         0.04393        0.041881        0.040048        0.038419        0.036962        0.035671        0.034535        0.033522         0.03262         0.03182        0.031105        0.030468        0.029901        0.029395        0.028937        0.028524        0.028152        0.027814        0.027508        0.027231        0.026978        0.026748        0.026539        0.026347        0.026172        0.026012        0.025866        0.025732        0.025609        0.025497        0.025393        0.025299        0.025212        0.025132        0.025058        0.024989        0.024928         0.02487        0.024817        0.024768        0.024723        0.024682        0.024644        0.024609        0.024577        0.024548        0.024521        0.024496        0.024473        0.024453        0.024435         0.02442        0.024406         0.42242         0.39023         0.35727         0.32439         0.29328         0.26474         0.23895         0.21582          0.1952         0.17683         0.16042         0.14572         0.13255         0.12078         0.11024         0.10078        0.092265        0.084609         0.07776        0.071647        0.066198        0.061333        0.056962        0.053058        0.049562        0.046441        0.043672        0.041212        0.039041        0.037106        0.035382        0.033855        0.032497        0.031298        0.030248        0.029316         0.02849        0.027762        0.027114        0.026539         0.02603        0.025578         0.02517        0.024804        0.024476        0.024177        0.023909        0.023666        0.023445        0.023244        0.023061        0.022894        0.022742        0.022604        0.022478        0.022361        0.022255        0.022157        0.022067        0.021986         0.02191         0.02184        0.021776        0.021716        0.021663        0.021612        0.021566        0.021523        0.021484        0.021448        0.021414        0.021384        0.021355        0.021329        0.021306        0.021284        0.021264        0.021246         0.02123        0.021217        0.021205 
      5        0.032959       0.39069       0.36715       0.34122       0.31498       0.28971       0.26606       0.24426       0.22429       0.20608       0.18949         0.1744        0.16067        0.14819        0.13685        0.12658         0.1173         0.1089        0.10129       0.094386        0.08812       0.082436       0.077277       0.072596        0.06836       0.064508       0.061022       0.057866       0.055026       0.052458       0.050135       0.048033        0.04613       0.044426       0.042898       0.041546       0.040334       0.039245       0.038278       0.037405       0.036629       0.035937       0.035315       0.034758       0.034254       0.033801       0.033392       0.033022        0.03269       0.032388       0.032114       0.031867       0.031641       0.031437       0.031252       0.031083       0.030929        0.03079       0.030663       0.030547       0.030441       0.030344       0.030256       0.030174       0.030099       0.030032       0.029969       0.029912       0.029859       0.029811       0.029766       0.029725       0.029688       0.029654       0.029623       0.029595       0.029569       0.029545       0.029524       0.029505       0.029488       0.029475        0.39069        0.36715        0.34122        0.31498        0.28971        0.26606        0.24426        0.22429        0.20608        0.18949         0.1744        0.16067        0.14819        0.13685        0.12658         0.1173         0.1089        0.10129        0.094386         0.08812        0.082436        0.077277        0.072596         0.06836        0.064508        0.061021        0.057862        0.055015        0.052441        0.050113        0.048012        0.046116        0.044403        0.042888         0.04153        0.040317        0.039235        0.038265        0.037395        0.036618        0.035926        0.035307        0.034749        0.034246        0.033795        0.033385        0.033017        0.032685        0.032383        0.032109        0.031862        0.031637        0.031433        0.031249        0.031081        0.030927        0.030788        0.030661        0.030544        0.030439        0.030342        0.030254        0.030173        0.030098         0.03003        0.029967         0.02991        0.029858         0.02981        0.029765        0.029725        0.029688        0.029654        0.029623        0.029594        0.029568        0.029545        0.029523        0.029504        0.029488        0.029474         0.35259         0.33121         0.30786         0.28433         0.26173         0.24061         0.22115         0.20335         0.18713         0.17238         0.15897         0.14679          0.1357         0.12564         0.11651         0.10826         0.10079        0.094018        0.087868        0.082274        0.077187        0.072553        0.068342        0.064518        0.061039        0.057882        0.055025        0.052447        0.050113           0.048        0.046087        0.044349        0.042785        0.041385        0.040128        0.039002        0.037988         0.03708        0.036261        0.035527        0.034872        0.034282        0.033748        0.033267        0.032832        0.032438        0.032082        0.031761        0.031468        0.031201         0.03096        0.030741        0.030541        0.030361        0.030196        0.030045        0.029909        0.029784         0.02967        0.029566        0.029471        0.029384        0.029304         0.02923        0.029164        0.029102        0.029046        0.028994        0.028947        0.028903        0.028863        0.028826        0.028793        0.028762        0.028734        0.028708        0.028685        0.028664        0.028645        0.028629        0.028615         0.32529         0.30479         0.28236         0.25977         0.23809         0.21788         0.19931         0.18238         0.16701         0.15307         0.14045         0.12902         0.11867         0.10931         0.10087        0.093274        0.086438         0.08027        0.074699        0.069657        0.065099        0.060975        0.057244        0.053885         0.05084        0.048098        0.045626        0.043411        0.041417        0.039621        0.038009        0.036554        0.035249        0.034091        0.033055         0.03213        0.031298        0.030554        0.029883        0.029281        0.028743        0.028256        0.027816        0.027418        0.027057        0.026728         0.02643        0.026159        0.025911        0.025685        0.025479         0.02529        0.025117        0.024959        0.024815        0.024682         0.02456        0.024449        0.024346        0.024252        0.024165        0.024086        0.024012        0.023944        0.023882        0.023825        0.023772        0.023723        0.023679        0.023637          0.0236        0.023565        0.023533        0.023503        0.023476        0.023452         0.02343        0.023409        0.023391        0.023376        0.023363         0.31534         0.29503         0.27281         0.25044         0.22899         0.20901         0.19068         0.17397         0.15882         0.14511          0.1327         0.12148         0.11134         0.10218        0.093936        0.086533        0.079882        0.073894        0.068497        0.063623        0.059228         0.05526        0.051681        0.048468        0.045563        0.042956        0.040612        0.038519        0.036642        0.034958        0.033453        0.032098         0.03089        0.029821         0.02887        0.028024        0.027267        0.026595        0.025989        0.025448        0.024968        0.024534        0.024143        0.023791        0.023473        0.023184        0.022922        0.022685        0.022469        0.022272        0.022092        0.021928        0.021778        0.021641        0.021516          0.0214        0.021295        0.021198        0.021109        0.021028        0.020952        0.020883        0.020819         0.02076        0.020706        0.020656         0.02061        0.020567        0.020528        0.020492        0.020458        0.020428          0.0204        0.020374         0.02035        0.020329        0.020309        0.020291        0.020275        0.020261         0.02025 
      6        0.064373       0.31749       0.30013       0.28105       0.26146       0.24228       0.22405       0.20695       0.19113       0.17656       0.16317         0.1509        0.13968        0.12944         0.1201        0.11158        0.10384       0.096795       0.090377        0.08453       0.079228       0.074422       0.070064       0.066099       0.062496       0.059201       0.056202       0.053483       0.051007       0.048755       0.046712       0.044843        0.04315       0.041609        0.04023       0.038984        0.03786       0.036858       0.035947       0.035129       0.034398        0.03374        0.03315       0.032616       0.032134       0.031699       0.031302       0.030946       0.030622       0.030328        0.03006       0.029818       0.029597       0.029395       0.029213       0.029047       0.028896       0.028758       0.028631       0.028517       0.028412       0.028315       0.028228       0.028147       0.028072       0.028005       0.027942       0.027885       0.027833       0.027785       0.027741         0.0277       0.027663       0.027629       0.027598        0.02757       0.027544        0.02752       0.027499        0.02748       0.027464        0.02745         0.3143         0.2972        0.27848        0.25927        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=0.0017225  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     0.81458       0.81464       0.81469       0.81468       0.81453       0.81424       0.81382       0.81335        0.8129        0.81254        0.81238        0.81256        0.81324         0.8145        0.81626        0.81821        0.81993        0.82116        0.82186        0.82209        0.82162        0.82012        0.81704         0.8128        0.80645        0.79968         0.7918        0.78398        0.77641        0.76858        0.76071        0.75299         0.7443        0.73635        0.72853        0.72067        0.71195        0.70314        0.69412        0.68504        0.67559        0.66627        0.65674         0.6463        0.63562        0.62498        0.61445        0.60441         0.5942        0.58411        0.57436        0.56484        0.55554        0.54653        0.53836        0.52971        0.52171        0.51365         0.5059        0.49854        0.49069        0.48308         0.4761        0.46937        0.46272        0.45661        0.45052        0.44481        0.43959        0.43463        0.43016        0.42595         0.4221        0.41886        0.41629        0.41368        0.41116         0.4087         0.4065        0.40451        0.40274        0.81458        0.81464        0.81469        0.81468        0.81453        0.81424        0.81382        0.81335         0.8129        0.81254        0.81238        0.81256        0.81324         0.8145        0.81626        0.81821        0.81993        0.82116        0.82186         0.82209         0.82162         0.82012         0.81704          0.8128         0.80645         0.79968         0.79193         0.78407         0.77607          0.7688         0.76105         0.75233         0.74419         0.73635         0.72844          0.7202         0.71163          0.7028         0.69375         0.68475         0.67516         0.66593         0.65625          0.6457         0.63545         0.62492         0.61432         0.60411         0.59358         0.58363         0.57369         0.56403         0.55487         0.54617         0.53752         0.52922         0.52113         0.51309          0.5053         0.49753         0.48998         0.48233         0.47537          0.4686         0.46217          0.4559         0.44973         0.44411         0.43869         0.43399          0.4297         0.42535         0.42167         0.41867         0.41594         0.41344         0.41098          0.40855         0.40627        0.40436          0.40259        0.81104         0.80991         0.80908         0.80861         0.80846         0.80854         0.80876         0.80908         0.80951         0.81014         0.81077         0.81143         0.81204         0.81282         0.81358         0.81435         0.81499         0.81544         0.81548         0.81483         0.81348         0.81099         0.80769         0.80336         0.79781         0.79279         0.78684         0.78042          0.7733         0.76536         0.75687         0.74812         0.73996         0.73171         0.72339         0.71508          0.7064         0.69743         0.68808         0.67863         0.66881         0.65914         0.64934         0.63905         0.62876         0.61812         0.60747         0.59719         0.58667         0.57636          0.5662         0.55628         0.54652         0.53711         0.52837         0.51959         0.51118         0.50282         0.49493          0.4875         0.48021         0.47259         0.46575         0.45941         0.45334         0.44741         0.44218         0.43741         0.43309         0.42907         0.42551         0.42215         0.41926         0.41661         0.41409         0.41169         0.40928          0.40688         0.40498         0.40306         0.40164        0.62729         0.62617         0.62524         0.62457          0.6242         0.62404           0.624         0.62402         0.62405         0.62408         0.62409         0.62408         0.62403          0.6239         0.62369         0.62334         0.62281           0.622         0.62082         0.61914         0.61668         0.61337         0.60898         0.60425         0.59836         0.59282         0.58657          0.5803         0.57383         0.56697          0.5599         0.55246         0.54512         0.53793         0.53085         0.52384          0.5165          0.5091         0.50154         0.49385         0.48566         0.47769         0.46973         0.46152         0.45349         0.44523         0.43708         0.42952         0.42194         0.41486         0.40791         0.40128         0.39497         0.38901          0.3837         0.37845         0.37359         0.36894         0.36484         0.36115         0.35781          0.3543         0.35135          0.3488         0.34626         0.34387          0.3417         0.33981         0.33797         0.33625         0.33462         0.33275         0.33103         0.32945         0.32815         0.32692         0.32569          0.32432         0.32329         0.32233         0.32168        0.56876          0.5679         0.56716         0.56665         0.56638         0.56632         0.56636         0.56646          0.5666         0.56675         0.56693         0.56709         0.56724         0.56732         0.56732         0.56719         0.56688         0.56629         0.56531         0.56382         0.56156         0.55844         0.55424         0.54971         0.54402         0.53868         0.53264          0.5266         0.52036         0.51376         0.50699         0.49989         0.49292         0.48613         0.47945         0.47285         0.46593         0.45895         0.45182         0.44457         0.43688         0.42941         0.42194         0.41422          0.4067         0.39897         0.39136         0.38434          0.3773         0.37077         0.36442         0.35841          0.3527         0.34736         0.34269         0.33809         0.33388          0.3299         0.32646         0.32344         0.32075         0.31788         0.31556         0.31361         0.31166         0.30981         0.30819         0.30684         0.30555         0.30436         0.30325         0.30187         0.30065         0.29953         0.29861         0.29775         0.29693          0.29599         0.29532         0.29471         0.29435  
      2      0.00051498     0.81458       0.81464       0.81469       0.81468       0.81453       0.81424       0.81382       0.81335        0.8129        0.81254        0.81238        0.81255        0.81323         0.8145        0.81626        0.81821        0.81993        0.82116        0.82186        0.82209        0.82157        0.82011        0.81703        0.81277        0.80641        0.79968         0.7918         0.7839         0.7763        0.76844        0.76061        0.75284        0.74419         0.7363        0.72851        0.72069        0.71192        0.70308        0.69404        0.68494        0.67555         0.6662        0.65671        0.64625        0.63553        0.62492        0.61438         0.6043        0.59409        0.58401        0.57424        0.56475        0.55548        0.54649        0.53833        0.52968        0.52167        0.51362        0.50587        0.49851        0.49065        0.48304        0.47609        0.46936        0.46271        0.45661        0.45052         0.4448        0.43958        0.43463        0.43016        0.42593        0.42209        0.41885        0.41629        0.41368        0.41115         0.4087         0.4065         0.4045        0.40274        0.81458        0.81464        0.81469        0.81468        0.81453        0.81424        0.81382        0.81335         0.8129        0.81254        0.81238        0.81255        0.81323         0.8145        0.81626        0.81821        0.81993        0.82116        0.82186         0.82209         0.82157         0.82011         0.81703         0.81277         0.80641         0.79968         0.79193         0.78399         0.77595         0.76867         0.76091         0.75218         0.74408         0.73631         0.72842         0.72022          0.7116         0.70275         0.69368         0.68464         0.67512         0.66586         0.65621         0.64565         0.63537         0.62486         0.61426         0.60399         0.59348         0.58354         0.57357         0.56395         0.55482         0.54612         0.53748         0.52919         0.52108         0.51305         0.50526          0.4975         0.48993          0.4823         0.47535         0.46859         0.46216         0.45588         0.44972          0.4441         0.43868         0.43397         0.42969         0.42534         0.42166         0.41867         0.41594         0.41343         0.41097          0.40855         0.40627        0.40436          0.40259        0.81075         0.80959         0.80875         0.80828         0.80813          0.8082         0.80842         0.80874         0.80915         0.80978         0.81039         0.81106         0.81164         0.81243         0.81319         0.81398         0.81465         0.81507         0.81507         0.81446          0.8131         0.81066         0.80739           0.803         0.79744         0.79239         0.78644         0.77997         0.77288         0.76496         0.75651         0.74768         0.73951         0.73141         0.72316         0.71492         0.70619         0.69721         0.68786         0.67839         0.66866         0.65894         0.64918         0.63888         0.62855         0.61792         0.60727         0.59696         0.58649         0.57621           0.566         0.55608         0.54634         0.53696         0.52823         0.51948         0.51105         0.50269         0.49479         0.48737         0.48005         0.47244         0.46561         0.45927         0.45322         0.44729         0.44208          0.4373         0.43299         0.42896          0.4254         0.42205         0.41916         0.41651           0.414         0.41159         0.40919          0.40679         0.40489         0.40297         0.40156        0.62723         0.62612         0.62519         0.62452         0.62415         0.62399         0.62395         0.62397         0.62401         0.62403         0.62404         0.62403         0.62398         0.62385         0.62364          0.6233         0.62277         0.62196         0.62078         0.61909         0.61658         0.61331         0.60893         0.60418         0.59828         0.59278         0.58653         0.58018         0.57367         0.56679         0.55974         0.55227         0.54497         0.53784         0.53079         0.52383         0.51644         0.50901         0.50143          0.4937         0.48559         0.47759         0.46966         0.46144         0.45338         0.44515         0.43698         0.42937         0.42181         0.41473         0.40776         0.40117         0.39488         0.38894         0.38364          0.3784         0.37351         0.36889         0.36478          0.3611         0.35775         0.35423          0.3513         0.34876         0.34622         0.34384         0.34166         0.33978         0.33794         0.33622         0.33459         0.33271         0.33099         0.32942         0.32812         0.32689         0.32565          0.32429         0.32326          0.3223         0.32166        0.56876          0.5679         0.56716         0.56664         0.56638         0.56631         0.56636         0.56646         0.56659         0.56675         0.56692         0.56709         0.56723         0.56731         0.56731         0.56719         0.56688         0.56629         0.56531         0.56381         0.56151         0.55843         0.55424         0.54968         0.54398         0.53868         0.53264         0.52652         0.52024         0.51362         0.50687         0.49974         0.49281         0.48608         0.47943         0.47288          0.4659          0.4589         0.45174         0.44447         0.43683         0.42934         0.42191         0.41417         0.40662         0.39892         0.39129         0.38423         0.37721         0.37067          0.3643         0.35832         0.35265         0.34732         0.34266         0.33807         0.33384         0.32988         0.32643         0.32341         0.32072         0.31785         0.31555          0.3136         0.31165         0.30981         0.30818         0.30683         0.30554         0.30435         0.30324         0.30186         0.30065         0.29953         0.29861         0.29775         0.29693          0.29598         0.29531         0.29471         0.29435  
      3       0.0041199     0.81443       0.81422       0.81395       0.81376       0.81357       0.81328        0.8129       0.81248       0.81207        0.81176        0.81167        0.81191        0.81265        0.81395        0.81575        0.81771        0.81944        0.82069        0.82141        0.82155        0.82103        0.81934        0.81629        0.81181        0.80546        0.79852        0.79065        0.78277        0.77519        0.76742        0.75976        0.75219         0.7437        0.73584        0.72826         0.7203         0.7114        0.70232        0.69336        0.68434        0.67497        0.66564        0.65596        0.64564        0.63475        0.62413        0.61349        0.60309        0.59314        0.58307        0.57333        0.56379        0.55479        0.54608        0.53785        0.52945        0.52129        0.51338        0.50566        0.49829        0.49031        0.48284        0.47598        0.46916        0.46264        0.45652        0.45043        0.44468        0.43944        0.43454        0.43007        0.42579        0.42198        0.41877        0.41622        0.41361        0.41105        0.40863        0.40642        0.40444        0.40269        0.81443        0.81422        0.81395        0.81376        0.81357        0.81328         0.8129        0.81248        0.81207        0.81176        0.81167        0.81191        0.81265        0.81395        0.81575        0.81771        0.81944        0.82069        0.82141         0.82155         0.82103         0.81934         0.81629         0.81181         0.80546         0.79852         0.79078         0.78281         0.77483         0.76782         0.75984         0.75156         0.74362         0.73586         0.72812         0.71978         0.71108         0.70201         0.69306           0.684         0.67453         0.66529         0.65537         0.64501          0.6346         0.62405         0.61333         0.60279         0.59253          0.5826         0.57275         0.56304         0.55414         0.54569         0.53703         0.52895         0.52066         0.51272           0.505         0.49728         0.48958         0.48212         0.47522         0.46839         0.46202         0.45573         0.44957         0.44396         0.43861         0.43382         0.42954         0.42515         0.42153          0.4186         0.41587         0.41337         0.41089          0.40848         0.40621        0.40429          0.40256        0.80795         0.80644         0.80525         0.80457         0.80433         0.80437         0.80457         0.80489         0.80533         0.80596         0.80662         0.80732         0.80797         0.80875         0.80956         0.81043         0.81117         0.81162         0.81153         0.81094         0.80973         0.80733         0.80413         0.79957           0.794         0.78845         0.78218         0.77573         0.76893         0.76146         0.75322         0.74463          0.7361         0.72799          0.7204          0.7123         0.70364         0.69456         0.68548         0.67613         0.66644         0.65683         0.64689         0.63671         0.62607         0.61539         0.60455         0.59406         0.58402           0.574          0.5638         0.55383          0.5444          0.5354         0.52668         0.51826         0.50958         0.50122         0.49343         0.48598         0.47851         0.47112         0.46433         0.45794         0.45195          0.4461         0.44097         0.43614         0.43187         0.42779         0.42428         0.42097         0.41809         0.41548         0.41297         0.41055         0.40809          0.40575         0.40386         0.40194         0.40055         0.6267         0.62533         0.62408         0.62324         0.62283         0.62268         0.62268         0.62275         0.62283         0.62292           0.623         0.62306         0.62306         0.62298          0.6228         0.62248         0.62196         0.62118         0.62001         0.61824         0.61574         0.61224         0.60788         0.60292         0.59703         0.59132         0.58508         0.57876         0.57228         0.56552         0.55852         0.55136         0.54421         0.53712         0.53025         0.52317         0.51569         0.50801         0.50055         0.49282         0.48473         0.47674         0.46867         0.46061         0.45236         0.44409          0.4358         0.42794         0.42064         0.41356         0.40665         0.40001         0.39397          0.3883         0.38294         0.37797         0.37288         0.36841         0.36436         0.36066         0.35721         0.35384           0.351         0.34837          0.3459         0.34355         0.34138         0.33947         0.33765          0.3359         0.33428         0.33238          0.3307         0.32915         0.32786         0.32664         0.32538          0.32404         0.32302         0.32206         0.32142        0.56859         0.56746          0.5664         0.56571          0.5654         0.56534         0.56542         0.56557         0.56575         0.56596          0.5662         0.56643         0.56663         0.56676         0.56679         0.56668         0.56638         0.56581         0.56484         0.56326         0.56096         0.55765         0.55348         0.54872         0.54302         0.53751         0.53148         0.52537         0.51912         0.51263         0.50592          0.4991         0.49232         0.48562         0.47916         0.47248         0.46542         0.45816         0.45113         0.44386         0.43625         0.42877         0.42119          0.4136         0.40586         0.39812         0.39037         0.38305         0.37628         0.36975         0.36343         0.35741         0.35198         0.34692          0.3422         0.33787         0.33345         0.32963         0.32624         0.32321         0.32041         0.31768         0.31547         0.31343         0.31154         0.30973         0.30811         0.30674         0.30546         0.30425         0.30314         0.30174         0.30056         0.29947         0.29855          0.2977         0.29685          0.29592         0.29526         0.29465          0.2943  
      4        0.013905     0.74362       0.73968       0.73889       0.73872       0.73889       0.73924       0.73979        0.7407       0.74217        0.74431        0.74706        0.75037        0.75429        0.75893        0.76404        0.76913        0.77373        0.77755        0.78069        0.78323        0.78499        0.78546        0.78507        0.78267        0.77886         0.7736        0.76775        0.76141        0.75513        0.74838        0.74201        0.73481         0.7273        0.71983         0.7123        0.70429        0.69566         0.6869        0.67761        0.66851        0.65945        0.65057        0.64147        0.63154        0.62099        0.61059        0.60042        0.59065         0.5811        0.57167        0.56222        0.55342        0.54493        0.53664        0.52875        0.52043        0.51284        0.50518         0.4976        0.49043        0.48243        0.47507        0.46819        0.46139        0.45504        0.44904        0.44281         0.4371        0.43185          0.427        0.42239         0.4181        0.41441         0.4113        0.40877        0.40617        0.40355        0.40118        0.39896        0.39701        0.39527        0.74362        0.73968        0.73889        0.73872        0.73889        0.73924        0.73979         0.7407        0.74217        0.74431        0.74706        0.75037        0.75429        0.75893        0.76404        0.76913        0.77373        0.77755        0.78069         0.78323         0.78499         0.78546         0.78507         0.78267         0.77886         0.77373         0.76788          0.7612         0.75484         0.74898         0.74169         0.73443         0.72718         0.71984         0.71199         0.70372         0.69536         0.68666         0.67735         0.66808         0.65909         0.65025          0.6408         0.63088         0.62075          0.6104         0.60016         0.59035         0.58054         0.57103         0.56161         0.55283         0.54437         0.53615         0.52796         0.51998         0.51221         0.50444         0.49691         0.48942         0.48168         0.47442          0.4675         0.46053         0.45434         0.44805         0.44203         0.43627         0.43106         0.42623         0.42186         0.41744         0.41392         0.41105         0.40846         0.40595         0.40344          0.40103         0.39877        0.39684          0.39516        0.72802         0.72264          0.7209         0.72026          0.7204          0.7211         0.72226         0.72394         0.72634          0.7293         0.73267         0.73634         0.74027         0.74441         0.74865         0.75263         0.75623         0.75923         0.76169         0.76386         0.76504         0.76533         0.76484         0.76275         0.75995         0.75616         0.75181         0.74682          0.7412         0.73497         0.72796         0.72006         0.71164         0.70325          0.6948         0.68639         0.67797         0.66926         0.66026         0.65124          0.6423         0.63353         0.62452         0.61503         0.60502         0.59473         0.58461         0.57495         0.56557         0.55637         0.54705         0.53839         0.52978          0.5213           0.513         0.50468          0.4964         0.48846         0.48088          0.4735          0.4661         0.45902         0.45228         0.44606         0.44018         0.43453         0.42936          0.4247         0.42051         0.41639         0.41285         0.40968         0.40681         0.40432         0.40183         0.39933         0.39686          0.39456         0.39269          0.3908         0.38946        0.55492         0.54982         0.54806         0.54726          0.5472          0.5477         0.54865         0.55006         0.55203         0.55457         0.55749         0.56063         0.56384          0.5671         0.57025         0.57307         0.57542         0.57723         0.57848          0.5791         0.57889         0.57754         0.57585         0.57298         0.56964         0.56562          0.5614         0.55664         0.55141         0.54581         0.53985         0.53355           0.527         0.52039         0.51356         0.50651         0.49936         0.49196         0.48415         0.47631         0.46857         0.46103         0.45352         0.44585         0.43791         0.42984         0.42205         0.41486         0.40805          0.4015           0.395         0.38919         0.38358         0.37825         0.37325         0.36839         0.36381         0.35961         0.35574         0.35228         0.34876         0.34561         0.34277         0.34008         0.33774         0.33552         0.33334         0.33143         0.32963         0.32782         0.32617         0.32427         0.32265         0.32118         0.31993         0.31871         0.31744           0.3161         0.31512         0.31415         0.31353        0.49773         0.49288          0.4913         0.49063         0.49068         0.49125         0.49227         0.49374          0.4958         0.49846         0.50154         0.50484         0.50823         0.51168         0.51503         0.51806         0.52063         0.52263         0.52407          0.5249         0.52488         0.52372         0.52222         0.51954         0.51638         0.51255         0.50854         0.50397         0.49897         0.49362         0.48796         0.48198         0.47581         0.46959         0.46316         0.45652         0.44978          0.4428         0.43542         0.42805         0.42078         0.41374         0.40671         0.39952         0.39208         0.38454         0.37729         0.37063         0.36434         0.35834         0.35242         0.34722         0.34223          0.3375         0.33313         0.32892         0.32499         0.32144         0.31824         0.31543         0.31256         0.31004         0.30781         0.30571         0.30393         0.30225         0.30062         0.29926         0.29799         0.29671         0.29558         0.29416         0.29304         0.29201         0.29112         0.29029         0.28941          0.28848         0.28785         0.28723          0.2869  
      5        0.032959     0.66095       0.66107        0.6621       0.66413       0.66676       0.66957        0.6723       0.67482       0.67706          0.679        0.68067        0.68216        0.68372        0.68559         0.6879        0.69058        0.69337        0.69601         0.6983        0.70037        0.70149        0.70264        0.70211         0.7011        0.69828         0.6943        0.68945        0.68452        0.67944        0.67449        0.66944        0.66329         0.6573        0.65162        0.64608        0.64006         0.6339         0.6277        0.62131         0.6149        0.60843        0.60191        0.59484        0.58701        0.57918        0.57171        0.56443        0.55722        0.54952        0.54176        0.53417        0.52644        0.51909        0.51172        0.50467        0.49729        0.49039        0.48346        0.47639        0.46897        0.46171        0.45453        0.44754        0.44106        0.43474        0.42878        0.42277        0.41688        0.41152        0.40666        0.40192        0.39786        0.39427        0.39141        0.38886        0.38634        0.38362        0.38133        0.37913        0.37725        0.37552        0.66095        0.66107         0.6621        0.66413        0.66676        0.66957         0.6723        0.67482        0.67706          0.679        0.68067        0.68216        0.68372        0.68559         0.6879        0.69058        0.69337        0.69601         0.6983         0.70037         0.70149         0.70264         0.70211          0.7011         0.69833         0.69443         0.68924         0.68416         0.67995         0.67457          0.6689          0.6631         0.65733         0.65149         0.64557         0.63965         0.63359         0.62738         0.62091         0.61432         0.60798         0.60139         0.59414         0.58652         0.57895         0.57145         0.56405         0.55648         0.54885         0.54116          0.5333          0.5259         0.51865         0.51097         0.50389         0.49667         0.48967         0.48282          0.4754         0.46805         0.46098         0.45368         0.44652         0.44011         0.43402          0.4278         0.42157         0.41583         0.41075         0.40591         0.40117         0.39722         0.39373         0.39112         0.38857         0.38618         0.38338          0.38115         0.37896        0.37702          0.37538        0.62858         0.62733         0.62756         0.62937         0.63228          0.6358          0.6395         0.64305         0.64628         0.64937         0.65205         0.65432         0.65624         0.65791         0.65946         0.66113         0.66289         0.66489          0.6667         0.66821         0.66894         0.66956         0.66898         0.66855         0.66699         0.66462         0.66155         0.65786         0.65383         0.64926         0.64394         0.63787         0.63149         0.62501         0.61862         0.61227         0.60591         0.59967         0.59348         0.58742         0.58133         0.57493         0.56805         0.56069         0.55331         0.54616         0.53931         0.53244         0.52539         0.51821         0.51092         0.50348         0.49608         0.48846         0.48121         0.47387         0.46673         0.45965         0.45268         0.44569         0.43892         0.43241          0.4261         0.42025         0.41453         0.40906         0.40426         0.39957         0.39527         0.39135          0.3878         0.38495         0.38211         0.37985         0.37725         0.37482         0.37219          0.37007         0.36824          0.3664         0.36513        0.47036         0.46934         0.46941         0.47083         0.47325         0.47623         0.47938         0.48241         0.48516         0.48753          0.4894         0.49075         0.49161         0.49213         0.49249         0.49291         0.49348         0.49411         0.49451         0.49466         0.49382         0.49317         0.49135         0.48988         0.48754         0.48482         0.48162         0.47814         0.47447          0.4704          0.4658         0.46079         0.45569         0.45072         0.44593         0.44117         0.43633         0.43144         0.42643         0.42138         0.41627         0.41108         0.40571         0.40017         0.39478         0.38962         0.38475         0.38003         0.37527         0.37051          0.3658         0.36115         0.35668         0.35216         0.34811         0.34403         0.34029         0.33675         0.33331         0.32995         0.32685         0.32394         0.32118         0.31886         0.31661         0.31438          0.3124          0.3104         0.30853         0.30672         0.30478          0.3032         0.30161         0.30034         0.29906          0.2979         0.29645          0.29533         0.29434         0.29339         0.29279        0.41495         0.41416         0.41439         0.41593         0.41844         0.42148         0.42468         0.42776          0.4306         0.43306         0.43505         0.43654         0.43756         0.43825          0.4388         0.43941         0.44018         0.44099         0.44159         0.44194         0.44128         0.44082         0.43917         0.43787         0.43571         0.43316         0.43015         0.42687         0.42341         0.41959         0.41527         0.41058         0.40585         0.40127         0.39688         0.39252         0.38808         0.38362         0.37907         0.37447         0.36985         0.36513         0.36022         0.35516         0.35026         0.34561         0.34128         0.33708         0.33283         0.32861         0.32448         0.32043         0.31656         0.31263         0.30921         0.30578         0.30268         0.29978           0.297         0.29428         0.29181         0.28951         0.28734         0.28558         0.28387         0.28218         0.28077         0.27931         0.27797          0.2767         0.27524         0.27415         0.27304         0.27217         0.27125         0.27047         0.26942          0.26867         0.26804         0.26744         0.26712  
      6        0.064373     0.56543       0.56521       0.56569       0.56689       0.56869       0.57092       0.57354       0.57643       0.57956        0.58297        0.58676        0.59109        0.59604        0.60164         0.6077        0.61387        0.61945        0.62392        0.62725        0.63005        0.63241        0.63438         0.6349        0.63391        0.63103         0.6267        0.62193        0.61666        0.61251        0.60806        0.60312        0.59798         0.5931        0.58836        0.58347        0.57863        0.57394          0.569        0.56386        0.55889        0.55404        0.54924        0.54368        0.53775        0.53176        0.52573        0.51967        0.51332         0.5068        0.50001         0.4932        0.48646        0.47991        0.47349        0.46681        0.46047        0.45384        0.44721        0.44062         0.4335        0.42684        0.42027        0.41355        0.40703        0.40104        0.39477        0.38872        0.38302        0.37763        0.37268        0.36832        0.36439        0.36102        0.35841        0.35585        0.35326        0.35061        0.34841        0.34614         0.3443        0.34264        0.56452        0.56409        0.56442        0.56572        ...

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=0.0017225  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        0.032313       0.031538       0.029203       0.026718       0.024639       0.022886       0.021399       0.020131       0.019042       0.018107       0.017297       0.016595       0.015946       0.015418       0.014957       0.014557        0.01421       0.013907       0.013646        0.01342       0.013227       0.013063        0.01291       0.012795       0.012701       0.012626       0.012568       0.012526       0.012499       0.012487       0.012486       0.012494       0.012539       0.012568       0.012606       0.012653       0.012707       0.012769       0.012837       0.012912       0.012991       0.013074       0.013351       0.013445       0.013527        0.01356      0.0080537       0.012192       0.012095       0.011996       0.011895       0.011791       0.011686       0.011579        0.01147       0.011357        0.01124        0.01112       0.010996        0.01087       0.010742       0.010613       0.010481       0.010352       0.010223        0.01009      0.0099585      0.0098177      0.0096806       0.009556      0.0094572      0.0093824      0.0093193      0.0092633      0.0092274      0.0091886      0.0091543      0.0090898      0.0090195      0.0088951      0.0086505      0.0081801 
      2       2        0        0.044673       0.043637        0.04037       0.036851       0.033899         0.0314       0.029272       0.027449       0.025875       0.024514       0.023328       0.022293       0.021329       0.020537       0.019836       0.019222        0.01868       0.018201        0.01778       0.017407       0.017081       0.016795       0.016524       0.016306       0.016118       0.015957       0.015818       0.015703       0.015608       0.015534       0.015475       0.015431       0.015438       0.015426       0.015427       0.015441       0.015468       0.015509       0.015561       0.015626       0.015702        0.01579       0.016145       0.016206       0.016204       0.016368      0.0090549       0.014163       0.014035       0.013907       0.013776       0.013642       0.013506       0.013371       0.013235       0.013101       0.012966       0.012829        0.01269       0.012552       0.012412        0.01227       0.012116       0.011954       0.011798        0.01165       0.011513       0.011391       0.011272       0.011163       0.011071       0.010972       0.010887       0.010801       0.010733       0.010653       0.010607       0.010524       0.010442       0.010339       0.010206      0.0098274 
      3       3        0        0.052552       0.051453       0.047283       0.043234        0.03984       0.036967       0.034521       0.032424       0.030614       0.029049       0.027686       0.026496       0.025383       0.024471       0.023664       0.022956       0.022332       0.021779       0.021293       0.020862       0.020485       0.020154       0.019838       0.019586       0.019367        0.01918       0.019018       0.018884       0.018774       0.018689       0.018622       0.018571       0.018585       0.018574       0.018579       0.018601        0.01864       0.018696       0.018769       0.018861       0.018969       0.019092       0.019551       0.019641       0.019649       0.019733       0.010488       0.016871       0.016735       0.016602       0.016467       0.016332       0.016199       0.016068       0.015935       0.015798        0.01566        0.01552       0.015376       0.015228       0.015077       0.014925       0.014777       0.014642       0.014523       0.014409         0.0143       0.014202       0.014098       0.013985       0.013874       0.013776       0.013683       0.013601       0.013517       0.013428       0.013351       0.013293       0.013279       0.013266       0.013174       0.012794 
      4       4        0        0.059787       0.058589       0.053843       0.049266       0.045426       0.042177       0.039411        0.03704       0.034993       0.033223       0.031681       0.030333       0.029073        0.02804       0.027126       0.026325       0.025618       0.024992       0.024441       0.023953       0.023525        0.02315       0.022791       0.022506       0.022259       0.022047       0.021865       0.021715       0.021593       0.021499       0.021426       0.021373       0.021395        0.02139       0.021403       0.021437       0.021492       0.021568       0.021665       0.021783        0.02192       0.022073       0.022615       0.022727       0.022715       0.022717       0.011905       0.019435       0.019287        0.01914       0.018994       0.018849       0.018704       0.018562        0.01842       0.018276       0.018132       0.017987       0.017842       0.017694       0.017543       0.017397       0.017262       0.017129       0.017007       0.016891       0.016787       0.016702       0.016611       0.016541       0.016478       0.016385       0.016293       0.016214       0.016127       0.016046       0.015944       0.015859       0.015808       0.015749       0.015661       0.015236 
      5       5        0         0.06554       0.064322       0.059162       0.054211        0.05006       0.046547       0.043558       0.040997       0.038787       0.036878       0.035214       0.033763       0.032402       0.031292        0.03031        0.02945       0.028693       0.028022       0.027434       0.026914        0.02646       0.026062       0.025681        0.02538       0.025122       0.024901       0.024713       0.024561       0.024439       0.024348        0.02428       0.024235       0.024274       0.024282       0.024311       0.024364        0.02444       0.024539       0.024661       0.024805       0.024967       0.025141       0.025749       0.025883       0.025864       0.025777       0.013513       0.022202        0.02205       0.021894       0.021737        0.02158       0.021425       0.021266       0.021104        0.02094       0.020773       0.020603       0.020432       0.020258        0.02008       0.019909        0.01975        0.01961       0.019484        0.01937       0.019257        0.01915       0.019051       0.018981       0.018906       0.018853       0.018799       0.018707       0.018622        0.01854       0.018451       0.018342       0.018236       0.018128        0.01789       0.017352 
      6       1        1       0.0059295      0.0054975      0.0049865      0.0045164      0.0041185      0.0037811      0.0034951      0.0032509      0.0030403      0.0028619      0.0027092      0.0025777      0.0024592      0.0023631      0.0022806      0.0022118      0.0021541      0.0021056      0.0020667      0.0020356      0.0020124      0.0019962      0.0019842      0.0019802      0.0019819       0.001989      0.0020009      0.0020181      0.0020403      0.0020677      0.0020994      0.0021356      0.0021806      0.0022275       0.002279      0.0023358      0.0023991      0.0024692      0.0025469       0.002633      0.0027287      0.0028361      0.0029924      0.0031403      0.0033133      0.0035382      0.0033559      0.0048868      0.0049555      0.0050249      0.0050932      0.0051566      0.0052239      0.0052821      0.0053325      0.0053772      0.0054178      0.0054656      0.0055025      0.0055417      0.0055661      0.0055714      0.0055766      0.0055848      0.0055866      0.0055828      0.0055909      0.0055897      0.0055802      0.0055799      0.0055846       0.005587       0.005584      0.0055785      0.0055686      0.0055465       0.005534      0.0055121      0.0054756      0.0054111      0.0052785      0.0048759 
      7       2        1       0.0083787      0.0077803      0.0070563      0.0063837      0.0058177      0.0053346      0.0049215      0.0045653      0.0042594      0.0039969      0.0037701      0.0035738      0.0033959      0.0032499       0.003123       0.003015      0.0029223      0.0028429      0.0027764      0.0027207       0.002676      0.0026407      0.0026111      0.0025923      0.0025812      0.0025771      0.0025792      0.0025882      0.0026035      0.0026254      0.0026529      0.0026857      0.0027299      0.0027761      0.0028278      0.0028857      0.0029506      0.0030234      0.0031047      0.0031958      0.0032977      0.0034116      0.0035844      0.0037396      0.0039252      0.0041555      0.0037261       0.005356       0.005427      0.0054979      0.0055671      0.0056372      0.0057036       0.005765      0.0058187      0.0058658      0.0059104      0.0059542      0.0059937      0.0060268      0.0060574      0.0060756      0.0060853      0.0060948      0.0061094      0.0061181      0.0061275      0.0061318      0.0061352      0.0061383      0.0061336      0.0061265      0.0061148      0.0060998      0.0060923      0.0060826      0.0060857      0.0060774      0.0060512      0.0059971      0.0058397        0.00546 
      8       3        1        0.010146      0.0094404      0.0085806      0.0077709      0.0070881      0.0065113      0.0060182      0.0055932      0.0052255      0.0049112      0.0046384      0.0044005       0.004185      0.0040086      0.0038553      0.0037249      0.0036126      0.0035162      0.0034352      0.0033671      0.0033121      0.0032683      0.0032313      0.0032076       0.003193      0.0031869      0.0031881      0.0031976      0.0032146      0.0032394      0.0032706       0.003308      0.0033595      0.0034129       0.003473      0.0035407      0.0036159       0.003699      0.0037917      0.0038954      0.0040109      0.0041402      0.0043394      0.0045039      0.0046938      0.0049307      0.0041572      0.0058931      0.0059712        0.00605      0.0061303      0.0062066      0.0062794      0.0063507      0.0064177      0.0064749      0.0065314      0.0065858      0.0066377      0.0066778      0.0067124        0.00675      0.0067855      0.0068116      0.0068339      0.0068648       0.006886      0.0069039      0.0069216      0.0069383      0.0069512      0.0069579      0.0069543       0.006941      0.0069339      0.0069365      0.0069492      0.0069674       0.006956       0.006906      0.0067662      0.0063388 
      9       4        1        0.012661       0.011814        0.01075      0.0097404      0.0088898      0.0081607      0.0075394      0.0070115      0.0065566      0.0061646      0.0058234      0.0055265      0.0052562      0.0050339      0.0048395      0.0046719      0.0045273      0.0044028      0.0042977      0.0042086      0.0041359      0.0040772      0.0040265      0.0039922      0.0039691      0.0039563      0.0039524      0.0039586      0.0039738      0.0039983      0.0040304      0.0040701      0.0041271      0.0041859      0.0042525      0.0043287      0.0044144      0.0045096      0.0046151      0.0047318      0.0048592      0.0049987      0.0052213       0.005396      0.0055825       0.005837      0.0046187      0.0064369       0.006524      0.0066117      0.0067044      0.0067902      0.0068716      0.0069534      0.0070299      0.0071018      0.0071677      0.0072313      0.0072928       0.007347       0.007391      0.0074364      0.0074843      0.0075248       0.007553      0.0075921      0.0076289      0.0076561      0.0076833      0.0077104      0.0077338      0.0077506      0.0077569      0.0077533      0.0077452      0.0077535      0.0077723      0.0077969      0.0077983      0.0077501      0.0076016      0.0071128 
     10       5        1        0.015891       0.014939       0.013651       0.012419       0.011375       0.010485       0.009725       0.009076      0.0085106      0.0080209      0.0075976      0.0072315      0.0068971      0.0066208      0.0063796      0.0061735      0.0059959      0.0058421      0.0057113      0.0055996      0.0055081       0.005434      0.0053694      0.0053257      0.0052959      0.0052789      0.0052729      0.0052795      0.0052972      0.0053268      0.0053655      0.0054128      0.0054823      0.0055532      0.0056332       0.005724      0.0058255      0.0059381      0.0060617      0.0061969      0.0063445      0.0065054      0.0067728      0.0069619      0.0071444      0.0073918      0.0053909      0.0074542      0.0075532      0.0076512      0.0077516       0.007845      0.0079358      0.0080263      0.0081149       0.008196      0.0082692      0.0083428      0.0084152      0.0084831      0.0085324       0.008581      0.0086376      0.0086872      0.0087308      0.0087773      0.0088184      0.0088483      0.0088787      0.0088992      0.0089127      0.0089213      0.0089369      0.0089446      0.0089414      0.0089531       0.008974      0.0089929      0.0090006      0.0089464      0.0087516      0.0081814 

% 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=0.0017225  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       0.084565       0.099857        0.10794        0.10516        0.10247       0.099966       0.097687       0.095619       0.093715       0.091999       0.090521       0.089251        0.08762       0.086574       0.085345       0.084429       0.083543       0.082735       0.082077       0.081419       0.080821       0.080321       0.079759        0.07929       0.078878       0.078521       0.078188       0.077967       0.077738       0.077623       0.077473       0.077381       0.077545        0.07772       0.077848       0.078083       0.078407       0.078866         0.0794       0.080066       0.081085        0.08213       0.084414       0.086491       0.089894       0.098463       0.095468        0.12954        0.13231        0.13551        0.13833        0.14086         0.1435        0.14632        0.14926        0.15242        0.15585        0.15951        0.16342        0.16772        0.17271        0.17819        0.18424        0.19073        0.19608         0.2024        0.20975        0.21748        0.22641        0.23706        0.24736        0.25916        0.27307        0.28931        0.30317        0.32318        0.34255        0.37347        0.41068        0.47513        0.60185        0.99997  
      2       2        0       0.096126        0.11139        0.12136        0.11819        0.11553        0.11307        0.11099        0.10909        0.10735        0.10599        0.10482        0.10349        0.10235        0.10157        0.10068        0.10003       0.099447       0.098865       0.098298       0.097831       0.097436       0.097017       0.096428       0.096211       0.095723       0.095391       0.095003       0.094534       0.094238       0.093867       0.093569       0.093386       0.093113       0.092895       0.092951       0.092873       0.092774        0.09284       0.093222       0.093573       0.094217       0.094792       0.096519       0.097968        0.10074        0.10855        0.10768        0.15653        0.15892        0.16167        0.16425        0.16665        0.16905        0.17166        0.17448        0.17785        0.18162        0.18569        0.19008        0.19461        0.19933        0.20368        0.20846        0.21349        0.21841        0.22431        0.23129        0.23914         0.2469         0.2569        0.26736        0.27839        0.29061        0.30549        0.31983        0.33813        0.35953        0.38925        0.42856        0.49362        0.61584        0.99997  
      3       3        0         0.1078        0.12631        0.13473        0.13138        0.12786        0.12514        0.12252        0.12034        0.11821        0.11656        0.11498        0.11356        0.11218        0.11118         0.1102        0.10944        0.10871        0.10817        0.10765         0.1071         0.1067         0.1064        0.10606        0.10563        0.10549        0.10526        0.10482        0.10461        0.10437         0.1041        0.10392        0.10373        0.10345        0.10322         0.1032        0.10315        0.10303        0.10317        0.10344        0.10382        0.10419        0.10464        0.10584         0.1072        0.10992        0.11763        0.11866        0.16982        0.17247        0.17523        0.17808        0.18105        0.18419         0.1875        0.19096        0.19457        0.19846        0.20261        0.20693        0.21095        0.21545        0.21959        0.22507        0.23132        0.23826        0.24582        0.25424        0.26237        0.27028        0.28051        0.29158        0.30319        0.31391        0.32812        0.34385        0.35896        0.38195        0.40951        0.44941        0.51011        0.63243        0.99996  
      4       4        0          0.114        0.13339        0.14178        0.13811        0.13446        0.13124        0.12835        0.12587         0.1235         0.1218        0.11989        0.11853        0.11686        0.11568        0.11474        0.11384        0.11315        0.11249        0.11213        0.11151        0.11125         0.1108         0.1106        0.11032        0.10995        0.10994        0.10962         0.1093        0.10914        0.10903        0.10878        0.10848        0.10844        0.10822        0.10806        0.10798        0.10789        0.10787        0.10785        0.10794        0.10824        0.10877        0.10974        0.11099        0.11378        0.12191        0.12347        0.17235        0.17496        0.17768        0.18053        0.18354        0.18674        0.19011        0.19362        0.19735        0.20133        0.20552        0.20958        0.21297        0.21725        0.22256        0.22875        0.23571        0.24336        0.25159         0.2603        0.26746        0.27709        0.28739        0.29854        0.30916        0.32051        0.33461        0.34861        0.36369        0.38414        0.41095        0.44862        0.50625         0.6245        0.99997  
      5       5        0        0.11992        0.14069        0.14855        0.14469        0.14011        0.13651        0.13295        0.13002        0.12745        0.12513        0.12293        0.12126        0.11927        0.11787        0.11665        0.11561        0.11469        0.11389        0.11338        0.11261        0.11215        0.11168        0.11159        0.11114        0.11088         0.1109        0.11048        0.11029        0.11027        0.11019        0.10992        0.10969        0.10973        0.10965        0.10948        0.10943        0.10931        0.10902        0.10886        0.10899        0.10927        0.10978        0.11089        0.11222        0.11506        0.12354        0.12528        0.17109        0.17358        0.17615        0.17879        0.18165        0.18477        0.18802         0.1914          0.195        0.19886         0.2029        0.20605        0.20959        0.21441           0.22        0.22639        0.23355        0.24117        0.24947        0.25754        0.26539        0.27543        0.28608        0.29717        0.30731        0.31871        0.33242         0.3466        0.36067        0.38057        0.40417        0.43911        0.49558        0.61799        0.99997  
      6       1        1       0.096646        0.10442        0.10672        0.10443        0.10194       0.099587       0.098422       0.097725       0.097312       0.095943       0.093696       0.092107       0.092674       0.093476       0.091908       0.089987       0.088257       0.087368        0.08712       0.086468       0.085464       0.084656        0.08462       0.085023        0.08447       0.083774       0.083301       0.083156       0.082373       0.082003       0.081679         0.0813       0.081142       0.079605       0.078189       0.078625       0.079524        0.08008       0.080325       0.080683       0.081017       0.081512       0.083754       0.083511       0.084171        0.08813       0.088151        0.11307        0.11451         0.1227        0.12618        0.12016        0.12632        0.12034         0.1143        0.11646        0.12437        0.13846        0.13931        0.15418         0.1456        0.13802        0.15168        0.16578        0.16773        0.18042        0.19546        0.19865        0.20649        0.22167        0.23084        0.23636        0.25457        0.26861        0.27838        0.29507        0.31739        0.34789        0.38242        0.45746        0.59342        0.99998  
      7       2        1        0.10031         0.1093        0.11166        0.10931        0.10836        0.10496        0.10244        0.10078       0.099513       0.099422       0.098671       0.099219       0.099198       0.097572       0.095963       0.094974       0.094416        0.09412        0.09458       0.094747       0.094191       0.093705        0.09317       0.093002       0.092665       0.092014       0.091839       0.091394       0.090778       0.090822       0.090544       0.089961       0.089941       0.089784       0.088925       0.088171        0.08805       0.087931        0.08784       0.087993       0.088184       0.088432       0.090025       0.090925       0.092683       0.096182       0.097591         0.1204        0.12135        0.12286        0.12513        0.12666        0.13019        0.13407        0.12908        0.13266        0.13495        0.14567        0.14876        0.15415          0.156        0.15924        0.16998         0.1785        0.18313        0.19146        0.20329        0.21033        0.21995        0.22998        0.24136        0.24872        0.26172        0.27433        0.28813        0.30465        0.32709         0.3571        0.39525        0.46529         0.6004        0.99998  
      8       3        1        0.10594        0.11757        0.11904        0.11731        0.11604        0.11334        0.11105        0.10902        0.10753        0.10534         0.1034         0.1028        0.10157        0.10098        0.10018       0.098702        0.09844       0.099127        0.10016       0.099561        0.09931       0.099246       0.098481       0.097813       0.097593       0.097519       0.097175       0.096677       0.096128       0.096363       0.095783       0.095204       0.094806       0.094847       0.094825       0.094543       0.094387       0.093971       0.094168       0.094679       0.095345       0.095798       0.097113       0.098276       0.098865        0.10388        0.10458        0.12615        0.12676        0.12992        0.12751         0.1296        0.13331         0.1403        0.14327        0.14293        0.14721        0.14976        0.15698        0.15699        0.16235         0.1754        0.18746        0.19185        0.20049        0.20547        0.21138        0.22189          0.234        0.24088        0.25152        0.26444        0.27226        0.28071        0.30113         0.3182        0.34189        0.36995         0.4112        0.47405        0.60393        0.99998  
      9       4        1        0.11209        0.12204        0.12456        0.12263        0.12006        0.11837        0.11597        0.11472        0.11272        0.11019        0.10858        0.10746        0.10594        0.10436        0.10217        0.10156        0.10111        0.10168         0.1017        0.10106        0.10058         0.1005        0.10038        0.10012       0.099891       0.099646       0.099421       0.098957       0.098657       0.098389        0.09836       0.098369       0.098299        0.09845       0.098508       0.098553       0.098641       0.098263       0.098507       0.098741       0.099477       0.099624        0.10077        0.10219        0.10366        0.10931        0.10742        0.13112         0.1306        0.13452        0.13325        0.13052        0.13416        0.14064        0.14737        0.14727        0.15259        0.15047        0.15986        0.16477        0.16299        0.17329        0.19134        0.19817        0.20551        0.21335         0.2164        0.22488        0.23777         0.2484        0.25565        0.26953        0.27948        0.28619        0.30364        0.32155        0.34611         0.3734        0.41269        0.47341        0.60625        0.99998  
     10       5        1        0.12333        0.13314        0.13686        0.13165        0.12869        0.12899        0.12346        0.12136        0.11982        0.11797         0.1163        0.11406        0.11255        0.11124        0.11009        0.10933        0.10837        0.10807         0.1079        0.10697        0.10687        0.10608        0.10537        0.10512        0.10468        0.10446        0.10385        0.10322        0.10306        0.10242        0.10149        0.10142        0.10157        0.10165        0.10145        0.10134        0.10123        0.10116         0.1014        0.10171         0.1022         0.1028        0.10404        0.10635        0.10822         0.1146        0.11062        0.13278        0.13398        0.13537        0.14285        0.13785        0.14231        0.14416        0.14991         0.1529        0.15629        0.15486        0.16873        0.17616        0.17404        0.18214        0.19468        0.20062        0.20714        0.21756        0.22301        0.22966        0.24159        0.25125        0.25889        0.27161        0.28175        0.29286        0.30223         0.3213        0.34488        0.37181        0.41094        0.47204        0.60454        0.99998  

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=0.0017225  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        0.052161       0.051299       0.048759       0.045984       0.043519       0.041317       0.039352       0.037593        0.03601       0.034589       0.033309       0.032152       0.031027       0.030089       0.029237        0.02847       0.027777        0.02715       0.026584        0.02607       0.025611       0.025199       0.024797       0.024469       0.024179       0.023924       0.023702       0.023511        0.02335       0.023217       0.023111       0.023028       0.023025       0.022998       0.022991       0.023007       0.023047       0.023111       0.023196       0.023303       0.023427       0.023565        0.02411       0.024213       0.024178       0.024086       0.012277       0.019286       0.019136       0.018988       0.018837       0.018685       0.018533        0.01838       0.018225       0.018068       0.017908       0.017746       0.017583       0.017419       0.017251       0.017083       0.016916       0.016752       0.016603       0.016461       0.016331       0.016206       0.016079       0.015968       0.015872       0.015787       0.015708       0.015615        0.01553       0.015451       0.015383       0.015291       0.015193       0.015074       0.014889        0.01441 
      2       1       0        0.049785       0.048517       0.043186       0.038128       0.034027       0.030674       0.027912       0.025624       0.023714       0.022119       0.020773        0.01964       0.018626       0.017814        0.01712       0.016534       0.016036        0.01561       0.015254       0.014952       0.014701       0.014491         0.0143        0.01416       0.014048       0.013961       0.013891       0.013844       0.013815       0.013805       0.013804       0.013815       0.013867       0.013899        0.01394       0.013991       0.014052       0.014121       0.014201       0.014292       0.014392       0.014502       0.014854       0.014948       0.015006       0.015176      0.0089293       0.014659       0.014544       0.014428       0.014311       0.014193       0.014075       0.013958       0.013841       0.013721         0.0136       0.013477       0.013352       0.013222        0.01309       0.012962       0.012838       0.012723       0.012611       0.012503       0.012395       0.012299       0.012206       0.012122       0.012043       0.011961       0.011885        0.01182       0.011761       0.011691        0.01162       0.011552        0.01152       0.011477       0.011344       0.010946 
      3       0       1        0.011544       0.010825       0.010006      0.0092235      0.0085439      0.0079503       0.007433      0.0069803      0.0065805      0.0062306      0.0059235      0.0056516      0.0054012      0.0051932      0.0050103      0.0048522      0.0047144      0.0045957      0.0044938      0.0044063      0.0043348      0.0042771      0.0042268      0.0041932      0.0041708      0.0041588      0.0041569      0.0041645      0.0041816      0.0042078      0.0042431      0.0042856       0.004347      0.0044111      0.0044834      0.0045657      0.0046581      0.0047615      0.0048763      0.0050032      0.0051434      0.0052979      0.0055404      0.0057348      0.0059438      0.0062174      0.0049822      0.0069349      0.0070246      0.0071149      0.0072032      0.0072935      0.0073822      0.0074679       0.007549      0.0076124       0.007667      0.0077321      0.0078016      0.0078538      0.0078924      0.0079288      0.0079611      0.0079852      0.0080095      0.0080428      0.0080701      0.0080864      0.0080988      0.0081108      0.0081196      0.0081305       0.008135      0.0081288      0.0081191      0.0081093      0.0081064      0.0081123       0.008099      0.0080431      0.0078726      0.0073291 
      4       1       1       0.0096585      0.0089631      0.0080043      0.0071088       0.006372      0.0057587      0.0052467      0.0048184      0.0044564      0.0041517      0.0038919      0.0036724      0.0034762      0.0033173      0.0031809      0.0030667      0.0029705      0.0028881      0.0028211      0.0027664      0.0027229      0.0026895      0.0026622       0.002646      0.0026376      0.0026364      0.0026405      0.0026523      0.0026702      0.0026952      0.0027245      0.0027592      0.0028048      0.0028511      0.0029028      0.0029603      0.0030241      0.0030942      0.0031718       0.003258       0.003353      0.0034588      0.0036237      0.0037618      0.0039199      0.0041239      0.0035174      0.0050759      0.0051477      0.0052194      0.0052955      0.0053608      0.0054236      0.0054831      0.0055365      0.0055939      0.0056516      0.0056998      0.0057352      0.0057768      0.0058113       0.005837      0.0058666      0.0058961       0.005916      0.0059312      0.0059506      0.0059655      0.0059807      0.0059956      0.0060068      0.0060068      0.0060037      0.0059981      0.0059934      0.0059996      0.0060197      0.0060264      0.0060137      0.0059612      0.0058225      0.0054585 

% 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=0.0017225  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        0.09247        0.10277        0.10886        0.10804        0.10737        0.10669         0.1062        0.10569        0.10512        0.10482        0.10443        0.10407        0.10357        0.10334        0.10301        0.10288        0.10263        0.10245        0.10226        0.10195        0.10179        0.10153        0.10126          0.101        0.10075        0.10052        0.10026       0.099898       0.099619       0.099459       0.099203       0.098886       0.098748       0.098695       0.098681        0.09866       0.098662       0.098761       0.098965       0.099306       0.099906        0.10065        0.10218        0.10362        0.10666        0.11502        0.11465        0.15747        0.15992        0.16297        0.16597        0.16887        0.17171        0.17474        0.17795        0.18139         0.1851        0.18902        0.19295        0.19704        0.20175        0.20673        0.21242         0.2188        0.22517        0.23236        0.24031        0.24788        0.25662        0.26698        0.27786          0.289        0.30106        0.31575        0.33045        0.34739        0.36813         0.3957        0.43323        0.49428        0.61724        0.99997  
      2       1       0        0.11649        0.14189        0.15288        0.14697         0.1408        0.13569         0.1308        0.12668        0.12297        0.11977        0.11682        0.11437        0.11174        0.10981        0.10804        0.10646        0.10519        0.10401        0.10316        0.10224        0.10155        0.10095        0.10052        0.10004       0.099618        0.09949       0.098981       0.098784       0.098684       0.098467       0.098262       0.098183        0.09816        0.09799       0.097937       0.097949       0.097903       0.097943       0.098144       0.098446       0.098895       0.099389        0.10079        0.10233        0.10509        0.11301        0.11357        0.16227        0.16498        0.16752        0.17002        0.17263        0.17559         0.1787        0.18194        0.18548        0.18935        0.19347        0.19748         0.2013        0.20592        0.21088        0.21674        0.22311        0.22974        0.23708        0.24494        0.25285        0.26183         0.2722        0.28295        0.29388        0.30566        0.32024        0.33438        0.35046        0.37137        0.39925        0.43732          0.498         0.6198        0.99996  
      3       0       1        0.09821        0.10337        0.10589        0.10515        0.10424         0.1031        0.10254         0.1028        0.10227        0.10103         0.1005        0.10063        0.10055        0.10011       0.099251       0.098615       0.097864       0.097329        0.09723       0.096463       0.096224        0.09552       0.095251       0.095149       0.094825       0.094539       0.094233        0.09375       0.093394       0.093259       0.092631       0.092174       0.092093       0.092204       0.092272       0.092411       0.092848       0.092928       0.093192       0.093811       0.094344       0.094851       0.095892       0.096681       0.097188        0.10296         0.1028        0.12051        0.12131        0.12304        0.12319         0.1271        0.13338         0.1384        0.13808        0.13031        0.13644         0.1531        0.16206        0.15843        0.15693        0.16621        0.17866        0.18103        0.19257        0.20446        0.20946        0.21425        0.22263        0.23171        0.24349        0.25977        0.27233        0.28193        0.29244        0.30685        0.33053        0.36153        0.40376        0.47369        0.60051        0.99998  
      4       1       1        0.11712        0.13122        0.13364        0.12898        0.12579        0.12299          0.118        0.11464        0.11249        0.11052        0.10776        0.10563        0.10422        0.10294        0.10087       0.099205       0.098375       0.098817       0.099354        0.09906       0.098344       0.098156       0.097555       0.097282       0.096894       0.096427          0.096        0.09561       0.095004        0.09474        0.09451       0.094328       0.094209       0.093531       0.092486        0.09208       0.091887       0.091632       0.091706        0.09171       0.092144       0.092416       0.094389        0.09582       0.097852        0.10188        0.10054        0.12889        0.12957        0.13511        0.13878        0.13082        0.13313         0.1334         0.1355        0.14658        0.14972        0.14258         0.1474        0.16407        0.16346        0.16503         0.1794        0.19294        0.19303        0.19885        0.21036        0.21992        0.23329        0.24516        0.25181        0.25649        0.26758        0.27915        0.29696        0.31746        0.34041        0.36653        0.40124        0.46321        0.60291        0.99998  

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);