1 2007 (Bush 2008 Stimulus) Full States EV and EC of Two Checks

This is the example vignette for function: snw_evuvw19_jaeemk_foc from the PrjOptiSNW Package. 2008 integrated over VU and VW, given optimal savings choices, unemployment shocks and various expectations.

Given 2008 policy and value functions (given expectation of 2009 crisis unemployment shocks), call SNW_V08_JAEEMK to solve for value and consumption given stimulus checks. And then integrate over 08 JAEEMK states given 07 JAEEMK states (age, endogenous savings, education, income shock, marital status, kids count). The stimulus will be provisioned based on 07 JAEEMK states. Note that snw_evuvw19_jaeemk does not solve the 07/08 problem.

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

1.1 Test SNW_EVUVW19_JAEEMK Defaults for 2019

Call the function with defaults. First, set up some parameters.

clear all;
% Solution types
st_biden_or_trump = 'bushchck';

% Solve the VFI Problem and get Value Function
mp_controls = snw_mp_control('default_test');

% Solve for Unemployment Values
mp_controls('bl_print_a4chk') = false;
mp_controls('bl_print_a4chk_verbose') = false;
mp_controls('bl_print_vfi') = false;
mp_controls('bl_print_vfi_verbose') = false;
mp_controls('bl_print_ds') = false;
mp_controls('bl_print_ds_verbose') = false;
mp_controls('bl_print_precompute') = false;
mp_controls('bl_print_evuvw20_jaeemk') = false;
mp_controls('bl_print_evuvw20_jaeemk_verbose') = false;
mp_controls('bl_print_v08p08_jaeemk') = false;
mp_controls('bl_print_v08p08_jaeemk_verbose') = false;
mp_controls('bl_print_v08_jaeemk') = true;
mp_controls('bl_print_v08_jaeemk_verbose') = false;

Second, run initializing functions.

% 1. generate MP_PARAMS specific to 2008 stimulus
% Use non-default values for Bush Stimulus
mp_more_inputs = containers.Map('KeyType','char', 'ValueType','any');
mp_more_inputs('fl_ss_non_college') = 0.225;
mp_more_inputs('fl_ss_college') = 0.271;
fl_p50_hh_income_07 = 54831;
mp_more_inputs('fl_scaleconvertor') = fl_p50_hh_income_07;
% st_param_group = 'default_small';
st_param_group = 'default_dense';
st_param_group = 'default_docdense';
mp_params = snw_mp_param(st_param_group, false, 'tauchen', false, 8, 8, mp_more_inputs);
mp_params('st_biden_or_trump') = st_biden_or_trump;
mp_params('beta') = 0.95;
% 2. Solve value steady state (2009 employed)
[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=495.65

V_emp_2009 = V_ss;
inc_ss = mp_valpol_more_ss('inc_VFI');
spouse_inc_ss = mp_valpol_more_ss('spouse_inc_VFI');
total_inc_ss = inc_ss + spouse_inc_ss;
% 3. Solve value unemployed 2009
mp_params('xi') = 0.532;
mp_params('b') = 0.37992;
mp_params('a2_covidyr') = mp_params('a2_greatrecession_2009');
mp_params('TR') = 100/fl_p50_hh_income_07;
[V_unemp_2009] = 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=304.5637

% 4. Value and Optimal choice in 2008
[V_2008, ap_2008, cons_2008, ev_empshk_2009] = ...
    snw_v08p08_jaeemk(mp_params, mp_controls, V_emp_2009, V_unemp_2009);

Completed SNW_VFI_MAIN_BISEC_VEC 1 Period Unemp Shock;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=491.5904
Completed SNW_V08P08_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=497.3876

% 5. matrixes to pre-compute
% Only using the SNW_A4CHK_WRK_BISEC_VEC function, no unemployment
% related matrixes needed Also don't need REF_EARN_WAGEIND_GRID,
% become unemployment not conditional on wage in 2009.
cl_st_precompute_list = {'a', ...
    'inc', 'inc_unemp', 'spouse_inc',...
    'ar_z_ctr_amz'};
% Shared: Steady-State distribution
[Phi_true] = snw_ds_main(mp_params, mp_controls, ap_ss, cons_ss, mp_valpol_more_ss);

Completed SNW_DS_MAIN;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=1775.4241


% Shared: precompute, get Matrixes
% note, the mp_params inputs are based on unemployed in 2020 (MIT) or unemployed in 2009 (Expected)
% note, however, for the 2008/9 problem, only will use inc, inc_unemp, spouse_inc
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=254.7405

1.2 Solve for 2019 Evuvw With 0 and 2 Checks

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

% Call Function
welf_checks = 0;
[ev07_jaeemk_check0, ec07_jaeemk_check0, ev08_jaeemk_check0, ec08_jaeemk_check0] = snw_evuvw19_jaeemk_foc(...
    welf_checks, mp_params, mp_controls, ...
    ap_ss, V_2008, cons_2008, mp_precompute_res);

Solve for V_2008_check for 0 stimulus checks
Completed SNW_A4CHK_WRK_BISEC_VEC;SNW_MP_PARAM=bushchck;welf_checks=0;TR=0.0018238;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=69.7671
Completed SNW_V08_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=6.99e-05
Completed SNW_EVUVW19_JAEEMK_FOC;st_biden_or_trump=bushchck;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=12.8037
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                   i    idx    ndim      numel       rowN      colN           sum         mean       std      coefvari      min          max    
                   _    ___    ____    __________    ____    _________    ___________    _______    ______    ________    ________    __________

    ec07_jaeemk    1     1      6      4.3173e+07     82     5.265e+05     1.9685e+08     4.5597    5.3244     1.1677     0.039543        64.534
    ec08_jaeemk    2     2      6        4.37e+07     83     5.265e+05     2.3277e+08     5.3267    8.4419     1.5848     0.036202        141.62
    ev07_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -6.4618e+08    -14.967     21.06    -1.4071      -470.57     -0.015969
    ev08_jaeemk    4     4      6        4.37e+07     83     5.265e+05    -6.6426e+08    -15.201     21.85    -1.4375       -508.1    -0.0071773

xxx TABLE:ec07_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.039543    0.039543    0.039978    0.042271     0.04854    12.009     12.281     12.561     12.849     13.157 
    r2     0.039889    0.039889    0.040323    0.043305    0.049735    12.251     12.524     12.806     13.095     13.402 
    r3     0.041432    0.041432    0.041608    0.043991    0.050734    12.485     12.759     13.042     13.331     13.637 
    r4     0.042935    0.042935    0.043023    0.045459    0.052199    12.742     13.017       13.3     13.588     13.891 
    r5     0.044395    0.044395    0.044399    0.046895    0.053615     12.99     13.266     13.548     13.834     14.134 
    r78      0.2016      0.2016      0.2016      0.2016     0.20214    27.775     28.774     29.785     30.965     32.412 
    r79      0.2016      0.2016      0.2016      0.2016      0.2016     30.43     31.663     32.736     33.958     35.517 
    r80      0.2016      0.2016      0.2016      0.2016      0.2016     33.68     35.501     37.368     38.956     40.192 
    r81      0.2016      0.2016      0.2016      0.2016      0.2016    40.118     41.397     43.175     45.605     48.459 
    r82      0.2016      0.2016      0.2016      0.2016      0.2016      52.1     55.541     58.464     60.094     62.875 

xxx TABLE:ec08_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.036218    0.036736    0.038184    0.042735    0.048545    12.256     12.541     12.835     13.136     13.136 
    r2     0.036271    0.036736    0.038385    0.043404    0.049852    12.491     12.778     13.072     13.374     13.374 
    r3     0.036717    0.037251    0.039845    0.044907    0.051515    12.744     13.032     13.327     13.628     13.628 
    r4     0.038144    0.038678    0.041269    0.046371    0.053128    12.989     13.277     13.573     13.872     13.872 
    r5     0.039534    0.040068    0.042653    0.047793    0.054687    13.224     13.513     13.809     14.105     14.105 
    r79      0.2016     0.20214     0.20586     0.21598     0.23568     35.82     37.367     39.414     41.705     44.029 
    r80      0.2016     0.20214     0.20586     0.21598     0.23568    40.755     42.955     45.289      47.95     50.773 
    r81      0.2016     0.20214     0.20586     0.21598     0.23568    48.912     52.041     55.022     57.919     60.242 
    r82      0.2016     0.20214     0.20586     0.21598     0.23568    66.719     69.201     72.373     77.005     80.728 
    r83      0.2016     0.20214     0.20586     0.21598     0.23568    116.83     122.65     128.67     134.89      141.3 

xxx TABLE:ev07_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -282.59    -282.59    -282.23    -278.38     -270.8      -4.3833      -4.2888      -4.1954      -4.1032      -4.0073
    r2     -272.49    -272.49    -272.13    -268.93    -261.76      -4.2754      -4.1844      -4.0945      -4.0056      -3.9131
    r3     -262.36    -262.36    -262.23    -259.89    -253.05      -4.1651      -4.0777      -3.9913      -3.9057      -3.8166
    r4     -253.22    -253.22    -253.16    -250.92     -244.6      -4.0512      -3.9675      -3.8846      -3.8025      -3.7165
    r5     -244.95    -244.95    -244.95    -242.81    -236.93      -3.9436      -3.8633      -3.7837      -3.7047      -3.6215
    r78    -13.362    -13.362    -13.362    -13.362    -13.349     -0.27313     -0.26104     -0.24971      -0.2389     -0.22855
    r79    -12.032    -12.032    -12.032    -12.032    -12.032     -0.21855     -0.20781     -0.19875     -0.19057     -0.18272
    r80    -10.388    -10.388    -10.388    -10.388    -10.388     -0.16126     -0.15407     -0.14734     -0.14134     -0.13574
    r81    -8.1801    -8.1801    -8.1801    -8.1801    -8.1801     -0.10114    -0.097396    -0.093438    -0.089426    -0.084913
    r82    -4.9651    -4.9651    -4.9651    -4.9651    -4.9651    -0.044201    -0.041462    -0.039412    -0.038348    -0.036626

xxx TABLE:ev08_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -295.66    -295.26    -292.66    -286.62    -277.22      -4.3615      -4.2673      -4.1741      -4.0822      -3.9911
    r2     -286.11    -285.71    -283.12    -277.16    -268.03      -4.2548      -4.1641      -4.0744      -3.9858      -3.8979
    r3     -276.49    -276.09    -273.59    -267.84    -259.11      -4.1461      -4.0589      -3.9727      -3.8874      -3.8028
    r4     -266.77    -266.41    -264.08     -258.7    -250.49      -4.0342      -3.9507       -3.868      -3.7862      -3.7045
    r5     -257.99    -257.65    -255.48    -250.43    -242.69      -3.9287      -3.8485       -3.769      -3.6903      -3.6114
    r79    -13.356    -13.343    -13.253    -13.025    -12.638     -0.22088     -0.21055     -0.20083      -0.1917     -0.18313
    r80    -12.025    -12.012    -11.923    -11.695    -11.308     -0.16977      -0.1618     -0.15428     -0.14721     -0.14056
    r81    -10.382    -10.369     -10.28    -10.052    -9.6651     -0.11711     -0.11162     -0.10645     -0.10156    -0.096943
    r82    -8.1742    -8.1611    -8.0716     -7.844     -7.457    -0.065329    -0.062239    -0.059357    -0.056632    -0.054053
    r83    -4.9602    -4.9471    -4.8576    -4.6301    -4.2431    -0.020966    -0.019971    -0.019037     -0.01816    -0.017335

% Call Function
welf_checks = 2;
[ev07_jaeemk_check2, ec07_jaeemk_check2, ev08_jaeemk_check2, ec08_jaeemk_check2] = snw_evuvw19_jaeemk_foc(...
    welf_checks, mp_params, mp_controls, ...
    ap_ss, V_2008, cons_2008, mp_precompute_res);

Solve for V_2008_check for 2 stimulus checks
Completed SNW_A4CHK_WRK_BISEC_VEC;SNW_MP_PARAM=bushchck;welf_checks=2;TR=0.0018238;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time cost=70.7648
Completed SNW_V08_JAEEMK;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;timeEUEC=2.82e-05
Completed SNW_EVUVW19_JAEEMK_FOC;st_biden_or_trump=bushchck;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_test;time=12.688
----------------------------------------
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
CONTAINER NAME: mp_outcomes ND Array (Matrix etc)
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                   i    idx    ndim      numel       rowN      colN           sum         mean       std      coefvari      min          max    
                   _    ___    ____    __________    ____    _________    ___________    _______    ______    ________    ________    __________

    ec07_jaeemk    1     1      6      4.3173e+07     82     5.265e+05     1.9688e+08     4.5603    5.3245     1.1676     0.040827        64.538
    ec08_jaeemk    2     2      6        4.37e+07     83     5.265e+05      2.328e+08     5.3273     8.442     1.5847     0.037917        141.63
    ev07_jaeemk    3     3      6      4.3173e+07     82     5.265e+05    -6.4561e+08    -14.954    21.011    -1.4051      -465.69     -0.015968
    ev08_jaeemk    4     4      6        4.37e+07     83     5.265e+05    -6.6365e+08    -15.187    21.798    -1.4353      -502.51    -0.0071771

xxx TABLE:ec07_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.040827    0.040827    0.040972     0.04389    0.049551    12.009     12.281     12.561     12.849     13.157 
    r2     0.042096    0.042096      0.0424    0.045024    0.050802    12.251     12.524     12.806     13.095     13.402 
    r3     0.043624    0.043624    0.043746    0.045821    0.051869    12.485      12.76     13.042     13.331     13.637 
    r4      0.04511     0.04511     0.04517    0.047304    0.053361    12.742     13.017       13.3     13.588     13.891 
    r5      0.04655     0.04655    0.046553    0.048751    0.054802     12.99     13.266     13.549     13.834     14.134 
    r78     0.20525     0.20525     0.20525     0.20525     0.20579    27.775     28.775     29.786     30.966     32.413 
    r79     0.20525     0.20525     0.20525     0.20525     0.20525    30.431     31.664     32.737      33.96     35.519 
    r80     0.20525     0.20525     0.20525     0.20525     0.20525    33.681     35.503     37.369     38.957     40.193 
    r81     0.20525     0.20525     0.20525     0.20525     0.20525    40.119       41.4     43.178     45.607      48.46 
    r82     0.20525     0.20525     0.20525     0.20525     0.20525    52.103     55.545     58.468     60.098     62.879 

xxx TABLE:ec08_jaeemk xxxxxxxxxxxxxxxxxx
              c1          c2          c3          c4          c5       c526496    c526497    c526498    c526499    c526500
           ________    ________    ________    ________    ________    _______    _______    _______    _______    _______

    r1     0.037941    0.038148    0.039819    0.043807    0.049244    12.256     12.541     12.835     13.136     13.136 
    r2     0.038108    0.038344    0.040188    0.044594    0.050571    12.492     12.778     13.073     13.374     13.374 
    r3      0.03941    0.039781    0.041664    0.046126    0.052244    12.745     13.032     13.327     13.628     13.628 
    r4     0.040834    0.041205    0.043102    0.047618    0.053867    12.989     13.278     13.573     13.872     13.872 
    r5      0.04222    0.042589      0.0445    0.049065    0.055435    13.224     13.513     13.809     14.105     14.105 
    r79     0.20525     0.20579     0.20951     0.21963     0.23776    35.821     37.368     39.415     41.707      44.03 
    r80     0.20525     0.20579     0.20951     0.21963     0.23776    40.756     42.957      45.29     47.952     50.774 
    r81     0.20525     0.20579     0.20951     0.21963      0.2378    48.914     52.043     55.024      57.92     60.244 
    r82     0.20525     0.20579     0.20951     0.21963     0.23814     66.72     69.203     72.375     77.007     80.731 
    r83     0.20525     0.20579     0.20951     0.21963     0.23933    116.84     122.66     128.68     134.89     141.31 

xxx TABLE:ev07_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -280.23    -280.23    -279.88     -276.5    -269.35      -4.3833      -4.2887      -4.1954      -4.1031      -4.0072
    r2     -270.21    -270.21    -269.89    -267.08    -260.35      -4.2753      -4.1844      -4.0944      -4.0055       -3.913
    r3     -260.26    -260.26    -260.13     -258.1    -251.71       -4.165      -4.0777      -3.9912      -3.9057      -3.8166
    r4     -251.26    -251.26     -251.2    -249.25    -243.33      -4.0511      -3.9674      -3.8846      -3.8025      -3.7165
    r5     -243.12    -243.12    -243.12    -241.24    -235.73      -3.9436      -3.8633      -3.7837      -3.7047      -3.6215
    r78    -13.274    -13.274    -13.274    -13.274    -13.262     -0.27312     -0.26103      -0.2497     -0.23889     -0.22854
    r79    -11.944    -11.944    -11.944    -11.944    -11.944     -0.21854      -0.2078     -0.19875     -0.19056     -0.18272
    r80      -10.3      -10.3      -10.3      -10.3      -10.3     -0.16125     -0.15406     -0.14733     -0.14134     -0.13574
    r81    -8.0921    -8.0921    -8.0921    -8.0921    -8.0921     -0.10113    -0.097391    -0.093433    -0.089423    -0.084909
    r82    -4.8771    -4.8771    -4.8771    -4.8771    -4.8771    -0.044198     -0.04146     -0.03941    -0.038346    -0.036624

xxx TABLE:ev08_jaeemk xxxxxxxxxxxxxxxxxx
             c1         c2         c3         c4         c5        c526496      c526497      c526498      c526499      c526500 
           _______    _______    _______    _______    _______    _________    _________    _________    _________    _________

    r1     -293.09    -292.72    -290.49    -284.88    -275.86      -4.3615      -4.2672      -4.1741      -4.0821      -3.9911
    r2     -283.55    -283.18    -280.98    -275.47    -266.73      -4.2548       -4.164      -4.0743      -3.9857      -3.8979
    r3     -274.01    -273.65    -271.52    -266.23    -257.88       -4.146      -4.0589      -3.9726      -3.8874      -3.8028
    r4     -264.47    -264.13    -262.14    -257.19    -249.33      -4.0341      -3.9506      -3.8679      -3.7861      -3.7045
    r5     -255.84    -255.53    -253.66       -249    -241.59      -3.9286      -3.8484       -3.769      -3.6903      -3.6113
    r79    -13.268    -13.255    -13.171    -12.954    -12.578     -0.22088     -0.21054     -0.20082      -0.1917     -0.18312
    r80    -11.937    -11.924    -11.841    -11.623    -11.248     -0.16976     -0.16179     -0.15428      -0.1472     -0.14055
    r81    -10.294    -10.281    -10.198    -9.9804    -9.6057     -0.11711     -0.11162     -0.10644     -0.10156    -0.096941
    r82    -8.0862    -8.0735    -7.9895    -7.7724    -7.3981    -0.065327    -0.062237    -0.059355    -0.056631    -0.054052
    r83    -4.8723    -4.8595    -4.7755    -4.5584    -4.1854    -0.020965     -0.01997    -0.019036    -0.018159    -0.017335

Differences between Checks in Expected Value and Expected Consumption

mn_V_U_gain_check_07 = ev07_jaeemk_check2 - ev07_jaeemk_check0;
mn_MPC_U_gain_share_check_07 = (ec07_jaeemk_check2 - ec07_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_07, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(A,Z)), welf_checks=2, TR=0.0018238  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       0.52526       0.48873       0.44813       0.40715        0.3683       0.33276       0.30078       0.27223       0.24678       0.22413        0.20396        0.18601        0.17002        0.15577        0.14307        0.13175        0.12166        0.11267        0.10465        0.09751       0.091135       0.085453       0.080374       0.075853       0.071836       0.068264        0.06509       0.062263       0.059754       0.057504        0.05549        0.05369       0.052071       0.050614       0.049312       0.048142        0.04708       0.046138       0.045281       0.044511       0.043819       0.043192       0.042626       0.042113        0.04165       0.041228       0.040845       0.040499       0.040184       0.039897       0.039636       0.039397        0.03918       0.038982       0.038802       0.038635       0.038485       0.038347        0.03822       0.038105       0.037999       0.037902       0.037813       0.037731       0.037657       0.037588       0.037525       0.037468       0.037415       0.037366       0.037322       0.037281       0.037244        0.03721       0.037179       0.037151       0.037125       0.037102       0.037081       0.037063       0.037048        0.52526        0.48873        0.44813        0.40715         0.3683        0.33276        0.30078        0.27223        0.24678        0.22413        0.20396        0.18601        0.17002        0.15577        0.14307        0.13175        0.12166        0.11267         0.10465         0.09751        0.091135        0.085453        0.080374        0.075853        0.071836        0.068263        0.065088        0.062255        0.059738        0.057481        0.055465         0.05367        0.052051        0.050596        0.049302        0.048125         0.04707        0.046125        0.045269        0.044501        0.043808        0.043184        0.042618        0.042105        0.041643        0.041221        0.040839        0.040494        0.040178        0.039892        0.039632        0.039393        0.039176        0.038979        0.038798        0.038633        0.038482        0.038344        0.038218        0.038103        0.037997          0.0379        0.037811        0.037729        0.037655        0.037587        0.037524        0.037467        0.037414        0.037366        0.037321        0.037281        0.037243        0.037209        0.037178         0.03715        0.037124        0.037101        0.037081        0.037063        0.037048         0.50045         0.46535         0.42651         0.38741         0.35042         0.31663          0.2863         0.25924         0.23517         0.21377         0.19474         0.17782         0.16276         0.14934         0.13739         0.12673         0.11722         0.10875          0.1012        0.094463        0.088442        0.083061         0.07824        0.073944        0.070121        0.066724        0.063694        0.060994        0.058593        0.056438        0.054512         0.05279        0.051236        0.049838        0.048583        0.047445        0.046421        0.045502         0.04467        0.043919        0.043243        0.042632        0.042077        0.041574         0.04112        0.040706        0.040331        0.039991         0.03968        0.039397         0.03914        0.038905        0.038691        0.038496        0.038318        0.038154        0.038006         0.03787        0.037744        0.037631        0.037526        0.037431        0.037343        0.037262        0.037189        0.037121        0.037059        0.037002         0.03695        0.036902        0.036858        0.036818        0.036781        0.036748        0.036717        0.036689        0.036664        0.036641         0.03662        0.036603        0.036588         0.46769         0.43375         0.39612         0.35824         0.32245         0.28983         0.26062         0.23466         0.21163         0.19124         0.17318         0.15719         0.14302         0.13046         0.11933         0.10947         0.10072        0.092964        0.086091            0.08        0.074591        0.069793        0.065523        0.061742        0.058399        0.055441        0.052827        0.050507         0.04846        0.046632        0.045005        0.043561        0.042259        0.041092         0.04005        0.039105        0.038253        0.037491          0.0368        0.036176        0.035613        0.035104        0.034639        0.034217        0.033834        0.033483        0.033164        0.032873        0.032605        0.032361        0.032138        0.031932        0.031744        0.031571        0.031413        0.031267        0.031133         0.03101        0.030896        0.030793        0.030696        0.030609        0.030527        0.030452        0.030384         0.03032        0.030263        0.030209         0.03016        0.030115        0.030073        0.030035            0.03        0.029968        0.029938        0.029912        0.029887        0.029865        0.029845        0.029828        0.029814         0.45639         0.42267         0.38527         0.34763          0.3121         0.27975          0.2508         0.22508         0.20231         0.18216         0.16434         0.14858         0.13464         0.12231          0.1114         0.10174        0.093193        0.085634        0.078951        0.073044        0.067812        0.063183        0.059078        0.055454        0.052262        0.049448        0.046971        0.044781        0.042859         0.04115        0.039637        0.038299          0.0371        0.036028        0.035075        0.034215        0.033443        0.032756        0.032135        0.031577        0.031076        0.030624        0.030213        0.029841        0.029504        0.029196        0.028916        0.028662        0.028429        0.028216        0.028022        0.027843         0.02768         0.02753        0.027393        0.027266        0.027151        0.027044        0.026945        0.026856        0.026772        0.026696        0.026625         0.02656        0.026501        0.026445        0.026395        0.026348        0.026305        0.026265        0.026229        0.026195        0.026165        0.026136         0.02611        0.026087        0.026065        0.026046        0.026029        0.026013        0.026001 
      2      0.00051498       0.52526       0.48873       0.44813       0.40715        0.3683       0.33276       0.30078       0.27223       0.24678       0.22413        0.20396        0.18601        0.17002        0.15577        0.14307        0.13174        0.12165        0.11266        0.10465       0.097509       0.091134       0.085449       0.080371       0.075849       0.071832        0.06826       0.065086       0.062259       0.059751       0.057501       0.055488       0.053687       0.052069       0.050612       0.049311        0.04814       0.047079       0.046136       0.045279       0.044509       0.043818       0.043191       0.042625       0.042112       0.041649       0.041228       0.040845       0.040499       0.040183       0.039896       0.039636       0.039397       0.039179       0.038982       0.038801       0.038635       0.038485       0.038347        0.03822       0.038105       0.037999       0.037902       0.037813       0.037731       0.037657       0.037588       0.037525       0.037468       0.037415       0.037366       0.037322       0.037281       0.037244        0.03721       0.037179       0.037151       0.037125       0.037102       0.037081       0.037063       0.037048        0.52526        0.48873        0.44813        0.40715         0.3683        0.33276        0.30078        0.27223        0.24678        0.22413        0.20396        0.18601        0.17002        0.15577        0.14307        0.13174        0.12165        0.11266         0.10465        0.097509        0.091134        0.085449        0.080371        0.075849        0.071832        0.068259        0.065084        0.062251        0.059734        0.057478        0.055463        0.053668        0.052049        0.050595        0.049301        0.048123        0.047068        0.046123        0.045268          0.0445        0.043807        0.043183        0.042617        0.042104        0.041642        0.041221        0.040839        0.040494        0.040178        0.039891        0.039631        0.039393        0.039176        0.038979        0.038798        0.038633        0.038482        0.038344        0.038218        0.038103        0.037997          0.0379        0.037811        0.037729        0.037655        0.037587        0.037524        0.037467        0.037414        0.037366        0.037321        0.037281        0.037243        0.037209        0.037178         0.03715        0.037124        0.037101        0.037081        0.037063        0.037048         0.50033         0.46524         0.42641         0.38731         0.35033         0.31655         0.28622         0.25916         0.23509          0.2137         0.19468         0.17776          0.1627         0.14929         0.13734         0.12668         0.11718         0.10871         0.10117        0.094431        0.088414        0.083034        0.078216        0.073919        0.070097        0.066701        0.063672        0.060973        0.058574        0.056421        0.054497        0.052775        0.051222        0.049825         0.04857        0.047433        0.046409        0.045491        0.044659        0.043909        0.043233        0.042622        0.042067        0.041565        0.041111        0.040697        0.040322        0.039982        0.039671        0.039388        0.039132        0.038896        0.038682        0.038488         0.03831        0.038146        0.037997        0.037861        0.037736        0.037623        0.037518        0.037422        0.037335        0.037253         0.03718        0.037112        0.037051        0.036994        0.036942        0.036894         0.03685         0.03681        0.036773         0.03674        0.036709        0.036681        0.036656        0.036633        0.036612        0.036594         0.03658         0.46768         0.43374         0.39611         0.35823         0.32244         0.28983         0.26062         0.23465         0.21162         0.19123         0.17317         0.15718         0.14301         0.13045         0.11932         0.10946         0.10071        0.092955        0.086084        0.079994        0.074584        0.069784        0.065515        0.061733         0.05839        0.055433        0.052818        0.050499        0.048452        0.046625        0.044999        0.043554        0.042254        0.041086        0.040044        0.039099        0.038248        0.037486        0.036795        0.036171        0.035609        0.035099        0.034635        0.034213         0.03383        0.033479         0.03316        0.032869        0.032601        0.032357        0.032134        0.031928         0.03174        0.031568        0.031409        0.031263         0.03113        0.031007        0.030893        0.030789        0.030693        0.030605        0.030524        0.030449        0.030381        0.030317        0.030259        0.030205        0.030156        0.030111        0.030069        0.030031        0.029996        0.029964        0.029935        0.029908        0.029884        0.029862        0.029842        0.029825        0.029811         0.45639         0.42267         0.38527         0.34763          0.3121         0.27975          0.2508         0.22508         0.20231         0.18216         0.16434         0.14858         0.13464          0.1223         0.11139         0.10173        0.093187         0.08563         0.07895        0.073043        0.067809         0.06318        0.059074        0.055449        0.052257        0.049444        0.046966        0.044777        0.042855        0.041147        0.039634        0.038297        0.037098        0.036025        0.035073        0.034213        0.033441        0.032754        0.032134        0.031575        0.031075        0.030623        0.030211         0.02984        0.029503        0.029195        0.028915        0.028662        0.028428        0.028215        0.028021        0.027843        0.027679         0.02753        0.027393        0.027266         0.02715        0.027044        0.026945        0.026856        0.026772        0.026696        0.026625         0.02656          0.0265        0.026445        0.026395        0.026347        0.026305        0.026265        0.026229        0.026195        0.026164        0.026136         0.02611        0.026087        0.026065        0.026046        0.026028        0.026013        0.026001 
      3       0.0041199       0.52469       0.48792       0.44711       0.40616       0.36748        0.3321       0.30026        0.2718       0.24642       0.22382         0.2037        0.18578        0.16982         0.1556        0.14292        0.13162        0.12155        0.11257        0.10457       0.097435        0.09106       0.085389        0.08031       0.075795       0.071783       0.068222       0.065049        0.06223       0.059723       0.057476       0.055464       0.053664       0.052048       0.050592       0.049294       0.048124       0.047064       0.046124       0.045268         0.0445       0.043809       0.043183       0.042618       0.042106       0.041643       0.041223        0.04084       0.040495       0.040179       0.039893       0.039632       0.039394       0.039177        0.03898       0.038799       0.038633       0.038483       0.038345       0.038218       0.038103       0.037997       0.037901       0.037811        0.03773       0.037655       0.037587       0.037524       0.037466       0.037414       0.037365       0.037321        0.03728       0.037243       0.037209       0.037178        0.03715       0.037124       0.037101        0.03708       0.037062       0.037047        0.52469        0.48792        0.44711        0.40616        0.36748         0.3321        0.30026         0.2718        0.24642        0.22382         0.2037        0.18578        0.16982         0.1556        0.14292        0.13162        0.12155        0.11257         0.10457        0.097435         0.09106        0.085389         0.08031        0.075795        0.071783         0.06822        0.065047         0.06222        0.059706        0.057453        0.055439        0.053645        0.052026        0.050577        0.049282        0.048107        0.047055        0.046111        0.045257         0.04449        0.043798        0.043175         0.04261        0.042098        0.041637        0.041216        0.040834         0.04049        0.040174        0.039888        0.039628         0.03939        0.039173        0.038976        0.038796         0.03863         0.03848        0.038342        0.038216        0.038101        0.037995        0.037899         0.03781        0.037728        0.037654        0.037585        0.037523        0.037465        0.037413        0.037364         0.03732        0.037279        0.037242        0.037208        0.037177        0.037149        0.037123          0.0371         0.03708        0.037062        0.037047         0.49901         0.46373         0.42473          0.3857         0.34892         0.31534         0.28516         0.25821         0.23424         0.21292         0.19396         0.17711         0.16211         0.14875         0.13686         0.12626         0.11682         0.10839         0.10086        0.094149        0.088151        0.082802        0.078001        0.073722        0.069915        0.066529        0.063507        0.060824        0.058435        0.056293         0.05438        0.052664        0.051116        0.049724        0.048475        0.047344        0.046323        0.045409         0.04458        0.043833        0.043159         0.04255        0.041997        0.041496        0.041043         0.04063        0.040255        0.039916        0.039606        0.039324        0.039067        0.038833        0.038619        0.038425        0.038247        0.038083        0.037935        0.037799        0.037674        0.037561        0.037456        0.037361        0.037273        0.037192        0.037119        0.037051        0.036989        0.036932        0.036881        0.036833        0.036789        0.036749        0.036712        0.036678        0.036648         0.03662        0.036594        0.036571        0.036551        0.036533        0.036519         0.46704         0.43286         0.39502         0.35718         0.32156         0.28912         0.26004         0.23416         0.21121         0.19087         0.17286          0.1569         0.14277         0.13024         0.11914         0.10929         0.10056        0.092825        0.085966        0.079884        0.074475        0.069689         0.06542        0.061646        0.058309        0.055363        0.052751         0.05044        0.048397        0.046572         0.04495        0.043505        0.042207        0.041042        0.040001        0.039058        0.038208        0.037449        0.036759        0.036137        0.035576        0.035067        0.034603        0.034182        0.033801         0.03345        0.033131        0.032841        0.032574         0.03233        0.032107        0.031902        0.031713        0.031541        0.031383        0.031237        0.031104        0.030981        0.030867        0.030764        0.030668         0.03058        0.030499        0.030423        0.030355        0.030292        0.030234         0.03018        0.030132        0.030086        0.030045        0.030007        0.029972        0.029939         0.02991        0.029883        0.029859        0.029837        0.029817          0.0298        0.029786         0.45582         0.42185         0.38423         0.34664         0.31128         0.27909         0.25027         0.22465         0.20194         0.18185         0.16407         0.14835         0.13444         0.12213         0.11124          0.1016        0.093078        0.085536        0.078865        0.072966        0.067733        0.063116         0.05901        0.055392        0.052205        0.049402        0.046927        0.044745        0.042826         0.04112         0.03961        0.038273        0.037076        0.036005        0.035054        0.034196        0.033425        0.032741        0.032121        0.031564        0.031065        0.030613        0.030203        0.029832        0.029496        0.029188        0.028909        0.028656        0.028423         0.02821        0.028016        0.027838        0.027674        0.027526        0.027389        0.027262        0.027146         0.02704        0.026941        0.026852        0.026768        0.026692        0.026622        0.026556        0.026497        0.026441        0.026391        0.026344        0.026301        0.026262        0.026225        0.026192        0.026161        0.026133        0.026107        0.026083        0.026062        0.026042        0.026025         0.02601        0.025997 
      4        0.013905       0.47091       0.43897       0.40471       0.37007         0.337       0.30644       0.27869       0.25369        0.2313       0.21125        0.19328        0.17717        0.16273        0.14978        0.13818        0.12778        0.11843        0.11004        0.10253       0.095784       0.089752        0.08434       0.079485       0.075147       0.071261       0.067796       0.064692       0.061927       0.059447       0.057226       0.055238        0.05345       0.051852       0.050408       0.049122       0.047958        0.04691       0.045974       0.045124       0.044362       0.043674        0.04305       0.042488       0.041978       0.041517       0.041098       0.040717       0.040373       0.040058       0.039772       0.039513       0.039276       0.039059       0.038862       0.038682       0.038517       0.038367       0.038229       0.038103       0.037988       0.037882       0.037786       0.037697       0.037615       0.037541       0.037472        0.03741       0.037352         0.0373       0.037251       0.037207       0.037166       0.037129       0.037095       0.037064       0.037036        0.03701       0.036987       0.036966       0.036949       0.036934        0.47091        0.43897        0.40471        0.37007          0.337        0.30644        0.27869        0.25369         0.2313        0.21125        0.19328        0.17717        0.16273        0.14978        0.13818        0.12778        0.11843        0.11004         0.10253        0.095784        0.089752         0.08434        0.079485        0.075147         0.07126        0.067794        0.064686        0.061914        0.059425        0.057201        0.055215        0.053434        0.051826        0.050398        0.049107        0.047942          0.0469        0.045961        0.045114        0.044351        0.043664        0.043043        0.042479         0.04197        0.041511         0.04109        0.040711        0.040368        0.040053        0.039768        0.039509        0.039272        0.039055        0.038859        0.038679        0.038514        0.038364        0.038227        0.038101        0.037986         0.03788        0.037784        0.037695        0.037614         0.03754        0.037471        0.037409        0.037351        0.037299         0.03725        0.037206        0.037166        0.037129        0.037095        0.037064        0.037036         0.03701        0.036987        0.036966        0.036948        0.036933         0.44343         0.41307         0.38073         0.34812         0.31704         0.28836         0.26236         0.23897         0.21804         0.19933         0.18258         0.16756         0.15412         0.14208          0.1313         0.12162         0.11294         0.10515        0.098166        0.091906        0.086295         0.08125        0.076717        0.072652        0.069009        0.065747         0.06282        0.060204        0.057855        0.055754        0.053876        0.052182        0.050663          0.0493        0.048067        0.046954         0.04595        0.045047        0.044229         0.04349        0.042825        0.042221        0.041672        0.041176        0.040727        0.040317        0.039945        0.039607        0.039299        0.039018        0.038763        0.038531        0.038317        0.038124        0.037947        0.037784        0.037636        0.037501        0.037376        0.037263        0.037158        0.037063        0.036976        0.036895        0.036822        0.036754        0.036693        0.036636        0.036584        0.036536        0.036493        0.036453        0.036416        0.036382        0.036352        0.036324        0.036298        0.036276        0.036255        0.036237        0.036223         0.41308         0.38374         0.35246         0.32093         0.29092          0.2633         0.23832         0.21592         0.19595         0.17817         0.16232         0.14817         0.13555         0.12431         0.11429         0.10534        0.097342        0.090196        0.083824        0.078137        0.073074         0.06855        0.064507        0.060912        0.057703        0.054856        0.052313        0.050059        0.048046        0.046251        0.044657        0.043223         0.04194        0.040793        0.039759        0.038827        0.037987        0.037233         0.03655        0.035932        0.035377         0.03487        0.034409         0.03399         0.03361        0.033262        0.032944        0.032655        0.032389        0.032146        0.031924        0.031721        0.031533        0.031361        0.031204        0.031058        0.030925        0.030803        0.030689        0.030586         0.03049        0.030403        0.030322        0.030247        0.030179        0.030115        0.030058        0.030004        0.029955         0.02991        0.029869         0.02983        0.029795        0.029763        0.029734        0.029707        0.029683        0.029661        0.029641        0.029624         0.02961         0.40202         0.37288         0.34183         0.31054         0.28078         0.25341         0.22868         0.20653         0.18681         0.16927         0.15365         0.13973         0.12733         0.11631         0.10649        0.097751        0.089953        0.082999        0.076813        0.071305        0.066416        0.062059        0.058177        0.054735        0.051675        0.048969        0.046561        0.044435        0.042545        0.040868        0.039385        0.038058        0.036875        0.035822        0.034876        0.034028        0.033267        0.032588        0.031974        0.031421        0.030926        0.030476        0.030068        0.029699        0.029365        0.029059        0.028781        0.028528        0.028296        0.028085        0.027892        0.027715        0.027551        0.027403        0.027267         0.02714        0.027025        0.026919        0.026821        0.026731        0.026648        0.026572        0.026501        0.026436        0.026377        0.026322        0.026272        0.026225        0.026182        0.026142        0.026106        0.026072        0.026042        0.026014        0.025988        0.025964        0.025943        0.025923        0.025906        0.025891        0.025878 
      5        0.032959       0.39774        0.3737       0.34722       0.32037       0.29449       0.27025       0.24791       0.22748       0.20889       0.19201        0.17669        0.16282        0.15026        0.13891        0.12867        0.11944        0.11113        0.10364       0.096872       0.090771       0.085279       0.080345       0.075916       0.071934       0.068366       0.065156       0.062284       0.059695       0.057365       0.055267       0.053379       0.051684        0.05015       0.048781       0.047545       0.046421        0.04542       0.044505       0.043678       0.042932       0.042256       0.041644        0.04109       0.040588       0.040133       0.039719       0.039343       0.039003       0.038692       0.038408       0.038151       0.037916       0.037701       0.037505       0.037326       0.037162       0.037013       0.036876       0.036751       0.036636        0.03653       0.036435       0.036346       0.036264        0.03619       0.036122        0.03606       0.036002        0.03595       0.035902       0.035857       0.035817        0.03578       0.035746       0.035715       0.035687       0.035661       0.035638       0.035617         0.0356       0.035585        0.39774         0.3737        0.34722        0.32037        0.29449        0.27025        0.24791        0.22748        0.20889        0.19201        0.17669        0.16282        0.15026        0.13891        0.12867        0.11944        0.11113        0.10364        0.096872        0.090771        0.085279        0.080345        0.075916        0.071934        0.068365        0.065152        0.062272        0.059673        0.057338        0.055242        0.053362        0.051661        0.050134        0.048769        0.047527        0.046411        0.045406        0.044492        0.043668        0.042921        0.042246        0.041636        0.041081        0.040581        0.040126        0.039712        0.039337        0.038997        0.038687        0.038404        0.038147        0.037912        0.037697        0.037502        0.037323        0.037159         0.03701        0.036873        0.036748        0.036634        0.036528        0.036433        0.036344        0.036263        0.036189        0.036121        0.036059        0.036001        0.035949        0.035901        0.035857        0.035816        0.035779        0.035745        0.035714        0.035686        0.035661        0.035638        0.035617        0.035599        0.035584         0.36681         0.34452         0.32012         0.29547         0.27174         0.24954         0.22909         0.21041         0.19343         0.17802         0.16406         0.15143            0.14         0.12967         0.12035         0.11195         0.10438         0.09756        0.091399        0.085828        0.080807        0.076287        0.072219        0.068559         0.06527         0.06231        0.059656        0.057262        0.055106        0.053168        0.051416        0.049836        0.048408        0.047124        0.045958        0.044901        0.043948        0.043081        0.042293        0.041579        0.040933        0.040345        0.039811        0.039328        0.038888        0.038487        0.038122        0.037791        0.037487        0.037211        0.036959         0.03673        0.036518        0.036327        0.036151         0.03599        0.035844        0.035709        0.035585        0.035473        0.035369        0.035275        0.035187        0.035107        0.035035        0.034967        0.034906        0.034849        0.034798         0.03475        0.034706        0.034666         0.03463        0.034596        0.034566        0.034538        0.034512         0.03449        0.034469        0.034452        0.034437         0.33958         0.31814         0.29465         0.27093         0.24812         0.22683         0.20727         0.18944         0.17329         0.15868         0.14549         0.13359         0.12287         0.11322         0.10456        0.096797        0.089839        0.083597        0.077985        0.072944        0.068425        0.064384        0.060771        0.057536        0.054649         0.05206        0.049754        0.047681        0.045822        0.044161        0.042667        0.041324        0.040116        0.039035        0.038055        0.037167        0.036369        0.035641         0.03498         0.03438        0.033837        0.033341        0.032889        0.032481        0.032106        0.031764        0.031451        0.031166        0.030904        0.030663        0.030444        0.030242        0.030056        0.029886         0.02973        0.029585        0.029453        0.029331        0.029219        0.029116        0.029021        0.028934        0.028853        0.028778        0.028711        0.028647         0.02859        0.028536        0.028488        0.028443        0.028402        0.028363        0.028329        0.028297        0.028267        0.028241        0.028216        0.028194        0.028175        0.028158        0.028143         0.32883         0.30759         0.28431         0.26082         0.23825          0.2172         0.19788          0.1803         0.16438            0.15         0.13703         0.12536         0.11485         0.10541        0.096958        0.089393        0.082628        0.076572        0.071141        0.066275        0.061924        0.058046        0.054591        0.051506        0.048764        0.046313        0.044138        0.042192        0.040455        0.038908        0.037524        0.036285        0.035174        0.034185        0.033292        0.032487        0.031767        0.031112        0.030519        0.029983          0.0295         0.02906        0.028661        0.028301        0.027971        0.027671        0.027398        0.027148         0.02692        0.026711         0.02652        0.026345        0.026183        0.026036          0.0259        0.025775         0.02566        0.025554        0.025457        0.025368        0.025285         0.02521        0.025139        0.025074        0.025016         0.02496         0.02491        0.024864        0.024821        0.024781        0.024745        0.024712        0.024681        0.024653        0.024627        0.024604        0.024582        0.024563        0.024546        0.024531        0.024518 
      6        0.064373       0.32479       0.30724       0.28795       0.26815       0.24878       0.23037       0.21312       0.19716       0.18244       0.16891         0.1565        0.14515        0.13478        0.12531        0.11669        0.10882        0.10165        0.09514       0.089224       0.083887       0.079041       0.074664       0.070705       0.067117        0.06388        0.06096       0.058314       0.055918       0.053759       0.051803       0.050043       0.048442       0.047005       0.045706       0.044522       0.043462       0.042496        0.04162       0.040829       0.040113        0.03946        0.03887       0.038332       0.037845       0.037401       0.036996       0.036629       0.036294       0.035988        0.03571       0.035456       0.035224       0.035012       0.034818       0.034641       0.034479       0.034331       0.034195       0.034071       0.033957       0.033852       0.033757       0.033669       0.033588       0.033514       0.033446       0.033384       0.033327       0.033275       0.033227       0.033183       0.033143       0.033106       0.033072       0.033041       0.033013       0.032987       0.032964       0.032944       0.032926       0.032911        0.32234        0.30499        0.28598        0.26649         ...

% 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_07, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(A,Z)), welf_checks=2, TR=0.0018238  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     0.74182       0.72635       0.71164       0.69952       0.69052       0.68421       0.67981       0.67678       0.67481        0.67381         0.6737        0.67437        0.67552        0.67678        0.67777        0.67831        0.67853         0.6789        0.67999        0.68191        0.68445        0.68625        0.68682        0.68371        0.67769        0.66661        0.65135        0.63314        0.61533        0.60068         0.5923        0.58952        0.59341        0.59965        0.60503        0.60664        0.60362        0.59667        0.58773        0.57862        0.57118        0.56561        0.56154        0.55773        0.55356        0.54879         0.5437        0.53864         0.5336         0.5284        0.52334        0.51762        0.51177        0.50563        0.49945        0.49396        0.48755        0.48116        0.47514         0.4689        0.46331        0.45754        0.45174        0.44632        0.44082         0.4361         0.4321        0.42817         0.4244        0.42098        0.41806        0.41545        0.41305        0.41049        0.40844        0.40645        0.40473        0.40327        0.40162        0.40058        0.39907        0.74182        0.72635        0.71164        0.69952        0.69052        0.68421        0.67981        0.67678        0.67481        0.67381         0.6737        0.67437        0.67552        0.67678        0.67777        0.67831        0.67853         0.6789        0.67999         0.68191         0.68445         0.68625         0.68682         0.68371         0.67769         0.66675         0.65147         0.63328         0.61587         0.60104         0.59152         0.58953         0.59298         0.59939         0.60481         0.60627          0.6035         0.59641         0.58747         0.57853         0.57111         0.56552         0.56148         0.55762         0.55346         0.54871         0.54357         0.53838         0.53346          0.5284         0.52316         0.51746         0.51162          0.5051          0.4994          0.4934         0.48718         0.48089          0.4747         0.46872         0.46288         0.45744         0.45136         0.44604         0.44062         0.43594         0.43166         0.42785         0.42429         0.42105         0.41794         0.41502         0.41283         0.41043         0.40833         0.40637         0.40468          0.40309         0.40154         0.40037         0.39895        0.73312         0.71841         0.70435         0.69283          0.6844         0.67866         0.67484          0.6724         0.67129         0.67083          0.6712          0.6726         0.67479         0.67728         0.67986         0.68184         0.68332         0.68448         0.68599         0.68807         0.69038          0.6918         0.69162         0.68764         0.68076         0.66872         0.65201         0.63205         0.61216         0.59569         0.58505         0.58068         0.58067         0.58433          0.5896          0.5925         0.59155          0.5869         0.58031         0.57318          0.5672         0.56208         0.55792         0.55387         0.54963         0.54431         0.53853         0.53279         0.52711          0.5211         0.51538         0.50912         0.50256         0.49594         0.48955         0.48369         0.47796         0.47201         0.46601         0.45998         0.45446         0.44941         0.44456         0.43998         0.43519         0.43122         0.42757         0.42463         0.42164         0.41865         0.41584         0.41327         0.41128         0.40887         0.40707         0.40553         0.40389          0.40244         0.40102         0.40018         0.39889        0.55826         0.54295         0.52839         0.51631         0.50725         0.50082         0.49636         0.49328         0.49129         0.49033         0.49037         0.49134         0.49301         0.49503         0.49701         0.49871         0.50021         0.50191         0.50427         0.50732          0.5108         0.51331         0.51438         0.51172         0.50629         0.49609         0.48199         0.46507          0.4482         0.43435         0.42589         0.42396         0.42754         0.43427         0.44031          0.4429         0.44094         0.43467         0.42621         0.41734         0.41007         0.40477         0.40154         0.39917         0.39697         0.39418         0.39091          0.3876         0.38436         0.38091          0.3777         0.37421         0.37075         0.36725         0.36418         0.36151         0.35865         0.35567         0.35313         0.35067          0.3487         0.34678         0.34428         0.34209         0.33965         0.33774         0.33595          0.3344         0.33282         0.33127         0.32983         0.32845         0.32748         0.32618         0.32515         0.32418          0.3232          0.32233         0.32137         0.32076         0.31999        0.50295         0.48786         0.47343         0.46142         0.45238         0.44595         0.44145         0.43833         0.43632         0.43533         0.43536         0.43634         0.43803         0.44009         0.44212          0.4439         0.44551         0.44734         0.44985          0.4531         0.45682         0.45959         0.46096         0.45863         0.45354         0.44368         0.42991         0.41328          0.3967         0.38311         0.37492         0.37326         0.37713         0.38417         0.39049         0.39335         0.39167         0.38569         0.37751         0.36899         0.36211         0.35721         0.35436         0.35236         0.35056         0.34822         0.34546         0.34267         0.33997         0.33709         0.33448         0.33162         0.32876         0.32587         0.32345         0.32139         0.31912         0.31672         0.31477         0.31293         0.31159         0.31036         0.30858         0.30712          0.3054         0.30419          0.3031          0.3022         0.30127         0.30034         0.29949         0.29867         0.29827         0.29745         0.29684         0.29629         0.29572          0.29527         0.29469         0.29439         0.29385  
      2      0.00051498     0.74182       0.72635       0.71164       0.69952       0.69052       0.68421       0.67981       0.67678       0.67481        0.67381        0.67371        0.67438        0.67557        0.67686        0.67787        0.67837        0.67855        0.67892        0.68005        0.68197        0.68443         0.6861        0.68668        0.68364        0.67771        0.66669        0.65141        0.63312        0.61525        0.60063        0.59226        0.58949        0.59351         0.5997          0.605        0.60664        0.60353        0.59666        0.58771        0.57861        0.57114        0.56556        0.56154        0.55772        0.55351         0.5487        0.54371        0.53861        0.53356        0.52838        0.52331        0.51759        0.51175        0.50562        0.49945        0.49393        0.48753        0.48115        0.47511         0.4689        0.46333        0.45753        0.45172        0.44629         0.4408        0.43609         0.4321        0.42815        0.42441        0.42098        0.41806        0.41543        0.41305        0.41048        0.40844        0.40645        0.40473        0.40326        0.40162        0.40058        0.39907        0.74182        0.72635        0.71164        0.69952        0.69052        0.68421        0.67981        0.67678        0.67481        0.67381        0.67371        0.67438        0.67557        0.67686        0.67787        0.67837        0.67855        0.67892        0.68005         0.68197         0.68443          0.6861         0.68668         0.68364         0.67771         0.66684         0.65153         0.63327         0.61582         0.60097          0.5915          0.5895         0.59307         0.59945         0.60478         0.60626          0.6034         0.59639         0.58745         0.57853         0.57107         0.56547         0.56148         0.55761         0.55341         0.54863         0.54357         0.53836         0.53342         0.52837         0.52314         0.51742         0.51159         0.50509         0.49941         0.49339         0.48716         0.48085         0.47468         0.46871         0.46288         0.45742         0.45134         0.44602         0.44062         0.43594         0.43166         0.42782         0.42428         0.42104         0.41794         0.41501         0.41283         0.41043         0.40832         0.40637         0.40468          0.40309         0.40154         0.40037         0.39895        0.73275           0.718         0.70395         0.69244         0.68403         0.67831         0.67455         0.67216         0.67104          0.6706         0.67095         0.67236         0.67458         0.67719         0.67983          0.6818         0.68328         0.68454         0.68618         0.68839         0.69064         0.69193         0.69169         0.68778         0.68091         0.66883         0.65212         0.63204         0.61204         0.59552         0.58491         0.58067         0.58104         0.58433         0.58912         0.59197         0.59091         0.58631         0.57963         0.57252          0.5665         0.56145         0.55732         0.55328         0.54909         0.54378          0.5381         0.53233         0.52664         0.52062         0.51487         0.50858         0.50206         0.49542         0.48905         0.48319         0.47749         0.47152          0.4655          0.4595           0.454         0.44894         0.44409         0.43951         0.43473         0.43076         0.42711         0.42416         0.42119          0.4182         0.41539         0.41282         0.41083         0.40842         0.40663         0.40508         0.40344          0.40199         0.40057         0.39973         0.39845         0.5582          0.5429         0.52834         0.51626          0.5072         0.50077         0.49631         0.49322         0.49124         0.49027         0.49032         0.49131         0.49301         0.49507         0.49705         0.49872         0.50018         0.50189         0.50429         0.50734         0.51074         0.51312          0.5142         0.51161         0.50628         0.49613         0.48201         0.46501         0.44809         0.43426         0.42583          0.4239          0.4276         0.43429         0.44025         0.44287         0.44081         0.43463         0.42616         0.41731         0.40999         0.40469         0.40151         0.39913         0.39689         0.39405         0.39088         0.38754         0.38429         0.38085         0.37764         0.37414         0.37069          0.3672         0.36415         0.36146         0.35861         0.35562         0.35307         0.35063         0.34868         0.34674         0.34424         0.34204         0.33963         0.33771         0.33591         0.33435          0.3328         0.33124          0.3298         0.32842         0.32745         0.32614         0.32512         0.32415         0.32317           0.3223         0.32135         0.32073         0.31996        0.50294         0.48785         0.47342         0.46141         0.45238         0.44595         0.44145         0.43833         0.43632         0.43533         0.43537         0.43635         0.43808         0.44017         0.44221         0.44396         0.44553         0.44736         0.44991         0.45317          0.4568         0.45944         0.46082         0.45855         0.45356         0.44376         0.42997         0.41327         0.39662         0.38305         0.37489         0.37324         0.37723         0.38421         0.39046         0.39335         0.39157         0.38568          0.3775         0.36899         0.36207         0.35717         0.35436         0.35235         0.35051         0.34813         0.34546         0.34265         0.33993         0.33707         0.33446         0.33158         0.32873         0.32586         0.32345         0.32137          0.3191          0.3167         0.31474         0.31292          0.3116         0.31035         0.30857          0.3071          0.3054         0.30418         0.30308         0.30218         0.30128         0.30034         0.29949         0.29866         0.29826         0.29744         0.29684         0.29629         0.29572          0.29527         0.29469         0.29438         0.29385  
      3       0.0041199     0.74131       0.72479       0.70912       0.69655       0.68793       0.68245       0.67899       0.67677       0.67543        0.67483        0.67482        0.67525        0.67591        0.67653        0.67695          0.677        0.67684        0.67697        0.67787        0.68004        0.68253        0.68458        0.68514        0.68248        0.67673        0.66583        0.65037        0.63229        0.61447        0.60021        0.59196        0.58933        0.59332        0.59944        0.60477        0.60651        0.60347         0.5966        0.58764        0.57856        0.57115        0.56566        0.56166         0.5576        0.55324        0.54848        0.54356         0.5384        0.53323        0.52819         0.5231         0.5174        0.51142        0.50548        0.49939        0.49373        0.48728          0.481        0.47491        0.46877        0.46331        0.45752        0.45161        0.44598        0.44064        0.43596          0.432        0.42797        0.42441        0.42093        0.41798        0.41528        0.41293        0.41041        0.40837        0.40634        0.40468        0.40317        0.40154        0.40045          0.399        0.74131        0.72479        0.70912        0.69655        0.68793        0.68245        0.67899        0.67677        0.67543        0.67483        0.67482        0.67525        0.67591        0.67653        0.67695          0.677        0.67684        0.67697        0.67787         0.68004         0.68253         0.68458         0.68514         0.68248         0.67673         0.66611         0.65043          0.6325         0.61524         0.60033          0.5913         0.58935         0.59287         0.59918         0.60452         0.60611         0.60332          0.5963         0.58747         0.57858         0.57105         0.56561          0.5616         0.55746          0.5531         0.54842         0.54338         0.53813         0.53307         0.52814         0.52297         0.51723         0.51124         0.50493         0.49932         0.49326         0.48696         0.48058         0.47446         0.46846         0.46282         0.45736         0.45132         0.44572         0.44051         0.43583         0.43156         0.42759         0.42412         0.42088         0.41786         0.41491         0.41267         0.41036         0.40822          0.4063          0.4046          0.40299         0.40148         0.40028         0.39889        0.73085          0.7149         0.69988         0.68798         0.68005         0.67529         0.67258          0.6713         0.67088         0.67095         0.67149         0.67269         0.67433         0.67632         0.67861         0.68047         0.68191          0.6834         0.68547         0.68849          0.6915         0.69349         0.69333         0.69001         0.68327         0.67076         0.65354         0.63365         0.61365         0.59688         0.58593         0.58175         0.58332          0.5876         0.59031         0.59096         0.58917         0.58416         0.57725         0.56981         0.56364         0.55904         0.55513         0.55094         0.54662         0.54209         0.53662         0.53085         0.52498         0.51924         0.51327         0.50676         0.50006         0.49348         0.48734         0.48153         0.47579         0.46977          0.4637         0.45776         0.45238          0.4475         0.44252         0.43782         0.43323         0.42925         0.42553         0.42259         0.41974         0.41675         0.41396         0.41137         0.40936         0.40695          0.4052         0.40364         0.40201          0.40053         0.39913         0.39828         0.39702        0.55734         0.54098         0.52546         0.51293         0.50425         0.49866         0.49512         0.49286          0.4915         0.49095         0.49109         0.49183         0.49302         0.49439          0.4958         0.49702         0.49815         0.49962          0.5018          0.5051         0.50854          0.5113         0.51237         0.51016         0.50501           0.495         0.48069         0.46391         0.44712          0.4335         0.42535          0.4235         0.42717         0.43377         0.43977         0.44249         0.44051         0.43434         0.42592         0.41708         0.40971         0.40456         0.40141         0.39878         0.39637         0.39359         0.39047         0.38711          0.3837         0.38042         0.37721         0.37369         0.37011         0.36681         0.36383         0.36105         0.35815         0.35519         0.35264         0.35025         0.34839          0.3465         0.34396         0.34159         0.33936          0.3374         0.33557         0.33395         0.33258         0.33097         0.32953         0.32813         0.32715         0.32586         0.32487         0.32388         0.32291          0.32203         0.32109         0.32045         0.31971        0.50242         0.48627         0.47088         0.45843         0.44977         0.44417          0.4406          0.4383         0.43692         0.43634         0.43646         0.43721         0.43841         0.43982         0.44128         0.44257          0.4438         0.44538         0.44772         0.45122         0.45489         0.45791         0.45927         0.45738         0.45256         0.44289         0.42891         0.41242         0.39591         0.38255         0.37466         0.37309         0.37706         0.38394         0.39024         0.39323         0.39152         0.38564         0.37751         0.36902         0.36204         0.35729          0.3545         0.35224         0.35024         0.34791         0.34528         0.34246         0.33958         0.33687         0.33427         0.33136          0.3284         0.32572         0.32337          0.3212         0.31889          0.3165         0.31454         0.31277         0.31155         0.31033         0.30851         0.30685         0.30534         0.30409         0.30294         0.30199         0.30126         0.30027         0.29942         0.29857         0.29815         0.29735         0.29677          0.2962         0.29564          0.29518         0.29461         0.29428         0.29378  
      4        0.013905     0.69437        0.6887       0.68682        0.6856       0.68485       0.68443       0.68424        0.6842       0.68431        0.68432        0.68368        0.68185        0.67849         0.6733        0.66626         0.6577        0.64865        0.64029        0.63405        0.63081        0.63066         0.6349        0.63987        0.64479         0.6465        0.64347        0.63512        0.62286        0.60915        0.59777         0.5895        0.58628        0.58779        0.59106        0.59371        0.59298        0.58873        0.58184        0.57381        0.56715        0.56213        0.55812        0.55443        0.55028        0.54541        0.54003        0.53454        0.52911        0.52439        0.51966        0.51448        0.50915        0.50356         0.4976        0.49158        0.48564        0.47893        0.47301        0.46682        0.46091        0.45555        0.44969        0.44359        0.43765        0.43277        0.42799        0.42432        0.42015         0.4167        0.41327        0.41019        0.40722        0.40501        0.40257        0.40057        0.39846        0.39684        0.39526         0.3937        0.39252        0.39113        0.69437         0.6887        0.68682         0.6856        0.68485        0.68443        0.68424         0.6842        0.68431        0.68432        0.68368        0.68185        0.67849         0.6733        0.66626         0.6577        0.64865        0.64029        0.63405         0.63081         0.63066          0.6349         0.63987         0.64479         0.64649         0.64378         0.63516         0.62307          0.6099         0.59733         0.58909          0.5861         0.58739         0.59083         0.59339         0.59274         0.58851         0.58149         0.57369         0.56703         0.56208         0.55807          0.5542         0.55009         0.54525         0.53991         0.53423         0.52899         0.52428         0.51952         0.51439         0.50891         0.50313           0.497         0.49143         0.48525         0.47881         0.47277         0.46631          0.4605         0.45495         0.44938         0.44353         0.43725         0.43252         0.42776         0.42366         0.41943           0.416         0.41287         0.40994         0.40707         0.40467         0.40244         0.40041         0.39846         0.39674          0.39512         0.39368         0.39243         0.39111        0.67671         0.67128         0.67005         0.66966          0.6698         0.67031         0.67127         0.67234         0.67335         0.67413         0.67431         0.67346         0.67128         0.66771         0.66224         0.65523         0.64772         0.64102         0.63668         0.63522         0.63663          0.6419         0.64801         0.65403         0.65664          0.6541         0.64582         0.63269         0.61757         0.60346         0.59252         0.58597         0.58376         0.58394         0.58411         0.58225         0.57752         0.57008         0.56135         0.55356          0.5475         0.54294         0.53929         0.53598         0.53211         0.52738         0.52223         0.51707         0.51227         0.50692         0.50093          0.4946         0.48806         0.48175         0.47576         0.46984         0.46361         0.45765         0.45133         0.44561         0.44044         0.43566         0.43068         0.42564         0.42159         0.41744         0.41399         0.41091         0.40817         0.40507         0.40245         0.39977          0.3977         0.39532         0.39374         0.39216         0.39051          0.38902         0.38765         0.38677         0.38555        0.50948         0.50398         0.50225         0.50107         0.50025         0.49973         0.49946         0.49937         0.49948         0.49954         0.49904         0.49753         0.49471         0.49029         0.48425         0.47689         0.46916         0.46213         0.45719         0.45511         0.45592         0.46088         0.46637         0.47175         0.47406         0.47192         0.46476         0.45357         0.44111         0.43007         0.42245         0.41962         0.42109         0.42477         0.42809         0.42839          0.4251         0.41892         0.41151         0.40497         0.40002         0.39636         0.39349          0.3909         0.38797         0.38452         0.38087         0.37733          0.3743         0.37127         0.36804         0.36477         0.36147         0.35835         0.35541         0.35245          0.3493         0.34668         0.34404         0.34181         0.34001         0.33807         0.33557          0.3328         0.33108         0.32892         0.32728         0.32548         0.32417         0.32263         0.32121         0.31977         0.31874         0.31754          0.3166         0.31559         0.31461          0.31374         0.31282         0.31215         0.31145        0.45543         0.45013         0.44854         0.44743         0.44664         0.44611         0.44581         0.44569         0.44576         0.44579         0.44528         0.44376         0.44094         0.43655         0.43054         0.42324         0.41558         0.40866         0.40385         0.40195         0.40297         0.40819         0.41396         0.41965         0.42229         0.42048         0.41363         0.40273         0.39054         0.37976         0.37241         0.36985         0.37161         0.37559         0.37919         0.37976         0.37675         0.37084         0.36374         0.35755         0.35299         0.34971         0.34719         0.34498         0.34243         0.33944         0.33628         0.33327         0.33077         0.32832          0.3257         0.32306         0.32037         0.31785         0.31554          0.3132         0.31063         0.30858         0.30652         0.30491         0.30373         0.30246         0.30065          0.2986         0.29758         0.29612         0.29517         0.29404         0.29337         0.29243         0.29159          0.2907         0.29022         0.28949         0.28897         0.28837          0.2878          0.28734         0.28678         0.28642         0.28596  
      5        0.032959     0.62728        0.6255       0.62438       0.62423       0.62492       0.62615       0.62765       0.62925       0.63085        0.63236        0.63368        0.63472        0.63535        0.63552        0.63517        0.63432        0.63302        0.63112        0.62839        0.62466        0.62077        0.61614        0.61153        0.60576        0.59896        0.59104        0.58258        0.57414        0.56646        0.55956        0.55344        0.54944        0.54661        0.54573        0.54596        0.54663         0.5475        0.54802        0.54775        0.54593          0.542        0.53627        0.52991        0.52356        0.51757        0.51199        0.50686        0.50206        0.49756        0.49316         0.4886        0.48388         0.4788        0.47329        0.46735        0.46123         0.4549        0.44859        0.44259        0.43695        0.43141        0.42524        0.41919        0.41406        0.40882        0.40442        0.40022        0.39653        0.39263        0.38947        0.38628        0.38344        0.38089        0.37874        0.37684         0.3747        0.37313        0.37146        0.36993        0.36872        0.36737        0.62728         0.6255        0.62438        0.62423        0.62492        0.62615        0.62765        0.62925        0.63085        0.63236        0.63368        0.63472        0.63535        0.63552        0.63517        0.63432        0.63302        0.63112        0.62839         0.62466         0.62077         0.61614         0.61153         0.60576         0.59927         0.59107         0.58283         0.57484         0.56644         0.55911         0.55322         0.54894         0.54644         0.54556         0.54556         0.54639          0.5472          0.5478         0.54768         0.54584         0.54183         0.53616         0.52963         0.52325         0.51734         0.51184         0.50653         0.50182         0.49748         0.49294         0.48841         0.48364         0.47828         0.47278         0.46693         0.46079         0.45459         0.44831          0.4425         0.43671         0.43098         0.42478         0.41922         0.41337         0.40814         0.40374         0.39978         0.39579         0.39204         0.38882         0.38579         0.38337         0.38063         0.37846         0.37657         0.37461         0.37303           0.3712         0.36997         0.36865         0.36743         0.5916         0.58984         0.58933         0.59012         0.59215         0.59464         0.59738          0.6002         0.60299         0.60582          0.6084         0.61092         0.61306         0.61481           0.616         0.61678          0.6173         0.61725         0.61627         0.61422         0.61154         0.60814         0.60451         0.59941         0.59309         0.58586         0.57843         0.57137         0.56492         0.55918         0.55405         0.54986         0.54674         0.54486         0.54379         0.54306         0.54177         0.53986         0.53673         0.53148         0.52392         0.51473         0.50567         0.49821          0.4924         0.48727         0.48267         0.47842         0.47471         0.47086          0.4666         0.46172         0.45646         0.45137         0.44572         0.43964         0.43341         0.42689         0.42087         0.41556          0.4105         0.40544          0.4008         0.39631         0.39214         0.38845         0.38522         0.38208         0.37892         0.37622         0.37332         0.37101         0.36861         0.36659         0.36496         0.36331         0.36179          0.36023         0.35894           0.358         0.35684        0.44068         0.43908         0.43812         0.43802         0.43865         0.43977         0.44119         0.44274         0.44433          0.4459         0.44739         0.44876         0.44995         0.45093         0.45161         0.45199         0.45202         0.45148         0.45007         0.44752         0.44463         0.44074         0.43667         0.43138         0.42521         0.41821          0.4109          0.4037          0.3969         0.39072         0.38541         0.38138         0.37891         0.37835         0.37922         0.38095         0.38272         0.38403         0.38426         0.38258         0.37869         0.37329         0.36773         0.36294         0.35891          0.3553         0.35199         0.34903         0.34626         0.34356         0.34095         0.33835         0.33575         0.33299         0.33001         0.32698         0.32412         0.32124         0.31884         0.31697         0.31492         0.31249          0.3102         0.30808         0.30602         0.30418         0.30255         0.30085         0.29909         0.29776         0.29631         0.29521         0.29396         0.29289           0.292         0.29095         0.29007          0.28908         0.28824         0.28757          0.2869        0.38824         0.38684           0.386         0.38597         0.38662         0.38774         0.38913         0.39065         0.39221         0.39374          0.3952         0.39654         0.39772         0.39869         0.39938         0.39977         0.39987         0.39941         0.39811         0.39572         0.39301         0.38934         0.38554         0.38054         0.37468         0.36798         0.36097         0.35404         0.34751         0.34159         0.33654          0.3328         0.33063         0.33036          0.3315          0.3335         0.33554         0.33714         0.33769         0.33636         0.33285         0.32781         0.32259         0.31817         0.31454         0.31137         0.30856         0.30612         0.30387         0.30174         0.29974         0.29776         0.29576         0.29362         0.29127         0.28884         0.28655         0.28423         0.28242         0.28113         0.27969         0.27789         0.27627         0.27486         0.27347         0.27234          0.2714         0.27037         0.26923         0.26849         0.26759         0.26703         0.26629         0.26568          0.2652         0.26456         0.26408           0.2635         0.26301         0.26266         0.26221  
      6        0.064373     0.55114       0.54963       0.54908       0.54953       0.55084       0.55275       0.55497       0.55742       0.55996        0.56245        0.56474        0.56673         0.5683        0.56939        0.56985        0.56948        0.56793        0.56619        0.56392        0.56225        0.56049        0.55876        0.55706        0.55518        0.55294        0.55058        0.54731        0.54414        0.54069        0.53734        0.53352        0.52942        0.52504        0.51975        0.51349        0.50697        0.50055        0.49489        0.49061        0.48778        0.48612        0.48509        0.48365        0.48169        0.47901        0.47568        0.47159        0.46722        0.46286        0.45832        0.45361        0.44841        0.44244        0.43624        0.43061        0.42497        0.41945        0.41384        0.40787        0.40205        0.39574        0.39019        0.38477        0.37939        0.37453        0.36972        0.36544        0.36146        0.35813         0.3548        0.35201         0.3493        0.34685         0.3446        0.34268        0.34067        0.33905        0.33736        0.33622        0.33478        0.33352        0.55013        0.54859        0.54788        0.54814        ...

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_ss = total_inc_ss(19,:,1:mp_params('n_eta_H_grid'),1,1,1);
mn_V_W_gain_check_use_07 = ev07_jaeemk_check2 - ev07_jaeemk_check0;
mn_C_W_gain_check_use_07 = ec07_jaeemk_check2 - ec07_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_07 = mn_C_W_gain_check_use_07(it_age, :, 1:mp_params('n_eta_H_grid'), it_educ, it_marital, it_kids);
mn_V_W_gain_check_jemk_07 = mn_V_W_gain_check_use_07(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_ss,[3,2,1]);
mt_C_W_gain_check_jemk_07 = permute(mn_C_W_gain_check_jemk_07,[3,2,1]);
mt_C_W_gain_check_jemk_07(mt_C_W_gain_check_jemk_07<=1e-10) = 1e-10;
mt_V_W_gain_check_jemk_07 = permute(mn_V_W_gain_check_jemk_07,[3,2,1]);
mt_V_W_gain_check_jemk_07(mt_V_W_gain_check_jemk_07<=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_07(:,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_07(:,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_07(:)), 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_07(:)), 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_07(:,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_07(:)), 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_07(:)), 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_07, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(KM,J)), welf_checks=2, TR=0.0018238  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        0.031908       0.030377       0.028045       0.025708       0.023751         0.0221       0.020698       0.019501       0.018475       0.017591       0.016828       0.016166       0.015591       0.015092       0.014657        0.01428       0.013952       0.013668       0.013423       0.013213       0.013033       0.012881       0.012755       0.012651       0.012567       0.012502       0.012455       0.012423       0.012406       0.012403       0.012412       0.012433       0.012465       0.012506       0.012557       0.012618       0.012688       0.012767       0.012854       0.012949       0.013053       0.013163        0.01328        0.01341       0.013516       0.013047      0.0094497       0.014632       0.014515       0.014397       0.014275        0.01415       0.014024       0.013896       0.013765        0.01363        0.01349       0.013346         0.0132       0.013049       0.012894       0.012737        0.01258        0.01242       0.012266       0.012114       0.011955       0.011798        0.01163       0.011473       0.011342       0.011242       0.011174       0.011105       0.011053       0.011012       0.010979       0.010927       0.010835       0.010697       0.010401      0.0098008 
      2       2        0        0.043916        0.04186       0.038596       0.035292       0.032514       0.030161       0.028153       0.026428       0.024939       0.023646        0.02252       0.021535       0.020672       0.019912       0.019244       0.018653       0.018132       0.017673       0.017267       0.016909       0.016593       0.016317       0.016075       0.015864       0.015682       0.015526       0.015394       0.015283       0.015193       0.015122       0.015068       0.015031       0.015009       0.015002       0.015009       0.015031       0.015068       0.015119       0.015185       0.015266       0.015363       0.015477       0.015606       0.015711        0.01574       0.015454       0.010609       0.016996       0.016844       0.016689       0.016532       0.016375       0.016216       0.016054        0.01589       0.015722       0.015551       0.015383       0.015217        0.01505       0.014878       0.014706       0.014533       0.014359       0.014175       0.013993       0.013827        0.01367       0.013529       0.013394       0.013264       0.013164       0.013057       0.012964        0.01287       0.012797       0.012701       0.012636       0.012536       0.012415       0.012226       0.011807 
      3       3        0        0.051104        0.04891       0.044943        0.04117       0.038001       0.035317       0.033027       0.031062       0.029364       0.027891       0.026608       0.025486       0.024501       0.023635       0.022871       0.022197       0.021601       0.021074       0.020608       0.020196       0.019833       0.019513       0.019233       0.018987       0.018774       0.018591       0.018434       0.018302       0.018194       0.018107        0.01804       0.017992       0.017962        0.01795       0.017956       0.017979        0.01802        0.01808        0.01816       0.018261       0.018382       0.018526       0.018688       0.018822       0.018863       0.018449       0.012272       0.020246       0.020082        0.01992       0.019756       0.019594       0.019432       0.019271       0.019111        0.01895       0.018786       0.018616       0.018449       0.018279       0.018101       0.017917       0.017735       0.017562         0.0174       0.017267       0.017142       0.017016       0.016909       0.016808       0.016677       0.016553       0.016442       0.016336        0.01624       0.016141       0.016037       0.015952       0.015885       0.015826       0.015756       0.015342 
      4       4        0        0.057927       0.055555       0.051064       0.046812       0.043241       0.040216       0.037636       0.035422       0.033509       0.031849       0.030403       0.029138       0.028028       0.027051        0.02619        0.02543       0.024758       0.024164       0.023638       0.023174       0.022764       0.022404       0.022088       0.021811       0.021572       0.021366        0.02119       0.021043       0.020923       0.020828       0.020756       0.020707       0.020678       0.020671       0.020684       0.020719       0.020776       0.020856       0.020959       0.021087       0.021239       0.021415       0.021609       0.021774       0.021804       0.021164        0.01392       0.023339       0.023161       0.022983       0.022805       0.022627       0.022452       0.022278       0.022105       0.021932       0.021756       0.021578       0.021403       0.021225       0.021047       0.020867       0.020694       0.020537       0.020394       0.020254       0.020125       0.020005       0.019914       0.019822       0.019743       0.019684       0.019585       0.019481       0.019391       0.019286       0.019185       0.019064       0.018962       0.018877       0.018694       0.018188 
      5       5        0         0.06325       0.060842       0.055977       0.051401       0.047557       0.044303       0.041529        0.03915       0.037097       0.035317       0.033767       0.032413       0.031226       0.030183       0.029265       0.028455       0.027741       0.027111       0.026554       0.026064       0.025633       0.025254       0.024924       0.024636       0.024388       0.024176       0.023998        0.02385       0.023732       0.023641       0.023576       0.023536       0.023519       0.023526       0.023556        0.02361        0.02369       0.023794       0.023925       0.024081       0.024261       0.024463        0.02468       0.024878       0.024909       0.024017       0.015797       0.026641       0.026458       0.026277       0.026094       0.025907       0.025718       0.025531       0.025347       0.025155       0.024952       0.024746       0.024541       0.024328       0.024112       0.023898        0.02369       0.023504       0.023345       0.023207       0.023081        0.02296       0.022842       0.022734       0.022665       0.022588       0.022537       0.022486       0.022381       0.022287       0.022184       0.022069       0.021922       0.021741        0.02144       0.020713 
      6       1        1        0.005762      0.0053279      0.0048412      0.0043955      0.0040141      0.0036902       0.003409      0.0031673      0.0029621      0.0027884        0.00264       0.002513      0.0024067      0.0023175      0.0022411      0.0021754      0.0021201      0.0020744      0.0020376      0.0020089      0.0019876       0.001973      0.0019648      0.0019624      0.0019657      0.0019743      0.0019882      0.0020071       0.002031      0.0020597      0.0020934       0.002132      0.0021755      0.0022243      0.0022788      0.0023393      0.0024062      0.0024789      0.0025594      0.0026497      0.0027523      0.0028693      0.0030054      0.0031693      0.0033734      0.0035763       0.003712      0.0056096      0.0056907      0.0057721      0.0058534      0.0059362      0.0060213      0.0060931      0.0061612      0.0062188      0.0062674      0.0063194      0.0063619      0.0064066      0.0064424      0.0064683        0.00648      0.0064851      0.0064864      0.0064906      0.0064964      0.0064921      0.0064801      0.0064745       0.006485      0.0064918      0.0064922      0.0064913       0.006484      0.0064666      0.0064459      0.0064241        0.00638      0.0063004      0.0061431      0.0056628 
      7       2        1       0.0081705      0.0075587      0.0068473      0.0061989       0.005658      0.0051977      0.0047997      0.0044575      0.0041644      0.0039084      0.0036843      0.0034908      0.0033249      0.0031825      0.0030596      0.0029537       0.002863      0.0027861      0.0027215      0.0026683      0.0026253      0.0025917      0.0025667      0.0025495      0.0025397       0.002537      0.0025411      0.0025517      0.0025687      0.0025919      0.0026213      0.0026567      0.0026983      0.0027461      0.0028005      0.0028622      0.0029325      0.0030108      0.0030973      0.0031933      0.0033018      0.0034252      0.0035671      0.0037328       0.003938      0.0041358      0.0041162      0.0061558       0.006242      0.0063293      0.0064142      0.0064977       0.006576      0.0066486      0.0067164      0.0067793      0.0068365      0.0068895       0.006932      0.0069705      0.0070118      0.0070462      0.0070648      0.0070675      0.0070792      0.0070993      0.0071092      0.0071147        0.00712      0.0071274      0.0071306      0.0071278      0.0071135      0.0071011      0.0070937       0.007081       0.007075      0.0070735      0.0070479      0.0069785      0.0068067      0.0063252 
      8       3        1       0.0099025      0.0091765      0.0083275      0.0075396      0.0068765      0.0063167      0.0058397      0.0054356      0.0050891       0.004789      0.0045267      0.0042981      0.0041005      0.0039299      0.0037817      0.0036527      0.0035414      0.0034464      0.0033665      0.0033004      0.0032467      0.0032045      0.0031726      0.0031503       0.003137      0.0031323      0.0031357       0.003147      0.0031662      0.0031929      0.0032268      0.0032678      0.0033156        0.00337      0.0034317      0.0035016      0.0035799      0.0036672      0.0037644      0.0038716      0.0039903       0.004124      0.0042772      0.0044541      0.0046704      0.0048436      0.0045867       0.006773      0.0068727      0.0069705      0.0070702      0.0071641      0.0072445      0.0073244      0.0074034      0.0074806      0.0075568      0.0076246      0.0076857      0.0077304      0.0077747      0.0078186      0.0078607       0.007892      0.0079176        0.00795      0.0079823      0.0080042      0.0080285      0.0080547      0.0080733      0.0080897      0.0080947      0.0080851      0.0080739      0.0080785      0.0080835      0.0080945      0.0080947      0.0080388      0.0078724      0.0073638 
      9       4        1        0.012339       0.011465        0.01043      0.0094589       0.008631      0.0079256      0.0073234       0.006814      0.0063754      0.0059955      0.0056685      0.0053867      0.0051428      0.0049301      0.0047442      0.0045814      0.0044406        0.00432      0.0042176      0.0041319      0.0040613      0.0040043      0.0039598      0.0039269      0.0039049      0.0038932      0.0038912      0.0038985      0.0039149      0.0039401      0.0039739      0.0040161      0.0040662      0.0041237      0.0041893      0.0042644      0.0043494      0.0044459      0.0045551      0.0046763      0.0048091      0.0049557       0.005122      0.0053132      0.0055267       0.005675      0.0050931      0.0073946      0.0075071       0.007618      0.0077306      0.0078407      0.0079374      0.0080237      0.0081134      0.0081995      0.0082882      0.0083745      0.0084519      0.0085099        0.00856       0.008619      0.0086758      0.0087206      0.0087531       0.008795      0.0088396      0.0088761      0.0089092      0.0089474      0.0089825      0.0090061      0.0090256      0.0090269       0.009021      0.0090281      0.0090421      0.0090582      0.0090687      0.0090197      0.0088404      0.0082615 
     10       5        1        0.015374       0.014388       0.013133        0.01196       0.010966        0.01013      0.0094148      0.0088033      0.0082715      0.0078058      0.0074009      0.0070508      0.0067458      0.0064773      0.0062437      0.0060412      0.0058663      0.0057162      0.0055881      0.0054805      0.0053916        0.00532       0.005264      0.0052224      0.0051945      0.0051793      0.0051762      0.0051849      0.0052049      0.0052361      0.0052779      0.0053296      0.0053913      0.0054625      0.0055435       0.005634      0.0057348      0.0058479      0.0059737      0.0061118      0.0062611      0.0064224      0.0065978      0.0067894       0.006998      0.0071029      0.0059534      0.0085898      0.0087069      0.0088218      0.0089374      0.0090544      0.0091714      0.0092787      0.0093835       0.009478      0.0095666      0.0096645      0.0097624      0.0098449       0.009899      0.0099594       0.010021       0.010076       0.010125       0.010182        0.01024       0.010281       0.010316       0.010346       0.010371        0.01038       0.010401       0.010416       0.010419       0.010423       0.010446        0.01047       0.010474        0.01042       0.010197      0.0094983 

% 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_07, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(KM,J)), welf_checks=2, TR=0.0018238  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       0.078069       0.086102       0.087377       0.085109       0.082559       0.080767        0.07873       0.077117       0.075492        0.07432       0.073127       0.072205       0.071201        0.07035       0.069594       0.068988        0.06847       0.067978       0.067589       0.067243        0.06689        0.06671       0.066431       0.066338       0.066143        0.06609       0.066013       0.066028       0.066126       0.066113       0.066306       0.066495       0.066813       0.067178       0.067577        0.06802       0.068617       0.069298       0.070087       0.070959       0.072196       0.073563       0.075491       0.077951       0.081722       0.093897       0.092723         0.1268        0.13006        0.13335        0.13566        0.13855        0.14224        0.14502        0.14801        0.15117        0.15458         0.1583        0.16224        0.16646        0.17112        0.17651        0.18245        0.18895        0.19435        0.20086        0.20798        0.21588        0.22435        0.23451        0.24458        0.25648        0.27051        0.28656        0.30061        0.32101        0.34085        0.37187        0.40959        0.47436        0.60097        0.99996  
      2       2        0       0.088091       0.096475       0.099705       0.096801       0.094582       0.092454       0.090527        0.08901       0.087428       0.086529       0.085406       0.084508       0.083799       0.083165        0.08265       0.082251        0.08198       0.081513       0.081145        0.08108       0.080841       0.080584       0.080561       0.080339       0.080366       0.080134       0.080071       0.079989       0.079909       0.079918       0.079964       0.080204        0.08035       0.080618       0.080936        0.08139       0.081735       0.082408       0.082886       0.083785       0.084899       0.086132       0.087788       0.089687       0.092844        0.10379        0.10485        0.15361        0.15635         0.1591         0.1614        0.16416        0.16737        0.16993        0.17268        0.17564        0.17889        0.18268        0.18702        0.19168        0.19652         0.2009        0.20635        0.21206        0.21709        0.22278        0.22961        0.23713        0.24462        0.25426        0.26432         0.2757        0.28802        0.30288         0.3174         0.3354        0.35711        0.38688        0.42627        0.49219        0.61465        0.99996  
      3       3        0       0.096309        0.10647        0.11111        0.10818        0.10451        0.10207         0.1001       0.097812        0.09648       0.094761       0.093751       0.092504       0.091499       0.090721       0.090226       0.089651       0.089295       0.089148       0.088721       0.088749       0.088662       0.088387       0.088508       0.088375       0.088443       0.088422       0.088383       0.088413       0.088476       0.088525       0.088659       0.088791       0.089172       0.089281       0.089701       0.090064       0.090596       0.091231       0.091883       0.092695       0.093665       0.094791       0.096219       0.097927        0.10118        0.11269        0.11588         0.1673        0.16987        0.17257        0.17541        0.17841        0.18156        0.18483        0.18829        0.19196        0.19589        0.20004        0.20447        0.20865        0.21314        0.21724        0.22272         0.2288        0.23564         0.2433        0.25167        0.25988        0.26789        0.27797        0.28924         0.3009        0.31178        0.32607        0.34221        0.35742         0.3803        0.40733         0.4467        0.50738        0.63072        0.99996  
      4       4        0        0.10137        0.11245        0.11806        0.11424        0.11063         0.1079        0.10493         0.1027        0.10134       0.098884       0.098181       0.096517       0.095399       0.094556       0.093826        0.09329       0.092955       0.092801       0.092339       0.092264       0.092286        0.09213        0.09219        0.09217       0.092133       0.092333       0.092235       0.092295       0.092371       0.092403       0.092525       0.092609       0.092989       0.092999       0.093358       0.093856       0.094241        0.09474       0.095202       0.095783       0.096533        0.09756       0.098766        0.10042        0.10373        0.11688        0.12067        0.17015        0.17263        0.17528        0.17809        0.18105        0.18421        0.18752        0.19103        0.19476        0.19871        0.20298        0.20713        0.21064        0.21494        0.22007        0.22597        0.23272        0.24034        0.24861        0.25729        0.26459        0.27458        0.28498        0.29626        0.30701        0.31836        0.33278         0.3473         0.3626        0.38292        0.40902        0.44616        0.50379        0.62262        0.99996  
      5       5        0        0.10569        0.11834        0.12441        0.11996        0.11559        0.11262        0.10956        0.10628        0.10445         0.1022        0.10048       0.098874       0.097407       0.096582       0.095566       0.094834       0.094282       0.093923       0.093396       0.093287       0.093117       0.092929       0.093056       0.092966       0.092822        0.09294       0.092892       0.093068       0.093087       0.093187       0.093269       0.093356       0.093586       0.093792       0.094082       0.094645       0.095102       0.095437       0.095818       0.096316       0.097015       0.098068       0.099339        0.10112        0.10464        0.11842         0.1225        0.16936        0.17176        0.17425        0.17693        0.17976         0.1827        0.18584        0.18923        0.19282        0.19663        0.20074        0.20398        0.20745        0.21206        0.21732        0.22346        0.23046        0.23822         0.2465        0.25456        0.26247        0.27246        0.28317         0.2947        0.30509        0.31658         0.3305        0.34503        0.35958         0.3796        0.40291        0.43747        0.49343        0.61617        0.99996  
      6       1        1       0.091639       0.097614       0.095796        0.09274       0.094336        0.09373       0.093919       0.096512       0.096935         0.0949       0.092119       0.088152       0.082991       0.081448        0.08265       0.083788       0.085636       0.085849       0.085144       0.084232       0.083582        0.08323       0.082557       0.081871       0.081256       0.080302       0.080495       0.079529       0.078838       0.078922       0.078429       0.077727       0.077877       0.077663       0.077578       0.077361       0.076374       0.074457       0.074348       0.075412       0.077061       0.077994       0.078939       0.080666       0.082149       0.084417        0.08413        0.10689        0.11371        0.11523        0.12365        0.12879        0.12989        0.12399        0.12407        0.11595        0.11897        0.12811        0.13643        0.14596        0.15588        0.15301        0.14793        0.15431         0.1698        0.18028        0.17324        0.19281        0.20495        0.21845        0.22882        0.23647         0.2524        0.26677        0.27995        0.29255        0.31641        0.34686        0.38608         0.4562        0.58808        0.99997  
      7       2        1       0.098891        0.10394        0.10413        0.10026       0.097592       0.097894       0.095839       0.093721       0.093869       0.096087       0.097758       0.097439       0.095911       0.095047       0.093894       0.092277       0.092409       0.092203       0.091505       0.090771       0.090094       0.089168       0.089067       0.088422       0.088549       0.088069       0.088302       0.087686       0.087248       0.087107        0.08655       0.086364       0.086177       0.086405       0.087161       0.087832       0.087556       0.085936       0.084745       0.084842       0.085541       0.085936       0.085121        0.08533       0.088656       0.092314       0.094609        0.12268        0.12125        0.12542        0.12868        0.12385        0.12638        0.12944        0.13321        0.13796         0.1343        0.14008        0.14076        0.15097         0.1604        0.15947        0.16325        0.16861        0.18443        0.19303        0.18883        0.20371        0.21793        0.22941        0.23945        0.24814        0.26258        0.27254        0.28889        0.30249        0.32542        0.35545        0.39668        0.46362        0.59654        0.99997  
      8       3        1        0.10228        0.10811        0.10782        0.10839        0.10652        0.10731        0.10359        0.10036       0.098628       0.098137       0.096914        0.09509       0.095163       0.095329       0.096677       0.097223       0.099076       0.099204       0.099851       0.098927       0.099101       0.098414       0.098337       0.097697        0.09759       0.096997       0.096946       0.096296       0.096081       0.095414        0.09441       0.093798       0.092811       0.092242       0.092366       0.091277       0.090565       0.089864       0.088943       0.088335       0.088579        0.09021       0.091675       0.092382       0.096412       0.099931         0.1021        0.12872        0.13197        0.13297        0.13369        0.13036         0.1247        0.13086        0.13984        0.14709          0.153        0.15351        0.14996        0.15211         0.1628        0.16706        0.17588        0.18396        0.19698        0.20489        0.20876        0.21726        0.23166         0.2411        0.25044        0.26284        0.27478        0.28146        0.29875        0.31668        0.33898         0.3677        0.40856        0.47186        0.60345        0.99997  
      9       4        1        0.10459        0.11283        0.11208        0.11053        0.10913        0.10771        0.10849         0.1077         0.1048        0.10324        0.10131        0.10058       0.099204       0.097342       0.095981        0.09514       0.095595       0.095642       0.096159       0.095849       0.096264       0.095997       0.095929        0.09602       0.095639       0.095607       0.095184       0.094893       0.094589       0.094173       0.093514       0.093029       0.092684       0.092379       0.092777       0.092491       0.092564       0.093725       0.094782       0.094925       0.095522       0.096738       0.098445       0.098833       0.099295        0.10531        0.10561        0.12946        0.14014        0.13557        0.13796        0.14086        0.12785        0.13004        0.14197        0.14458        0.16066        0.16005        0.15855        0.15021        0.16268        0.17474        0.17786        0.18446        0.19997        0.21091        0.21481        0.22283        0.23346        0.24597        0.25477        0.26823        0.27851        0.28907        0.29995        0.31991        0.34395          0.371        0.41032        0.47114        0.60349        0.99997  
     10       5        1        0.11468        0.12506        0.12335        0.12035        0.11807        0.11752        0.11373        0.11058        0.10833         0.1073        0.10446        0.10206        0.10217        0.10244        0.10148        0.10071       0.099862        0.10031        0.10076        0.10056        0.10081        0.10043        0.10045        0.10045        0.10011        0.10007       0.099776       0.099657       0.098951       0.098471       0.097656       0.096522       0.095803       0.095045       0.094605       0.094012       0.093773       0.094498       0.095692       0.096656       0.097292       0.098634        0.10035        0.10289        0.10467        0.11042        0.11065         0.1308        0.13086        0.13264        0.13851        0.14268        0.14655        0.14263        0.14848        0.14292        0.15406        0.16213        0.16615         0.1567        0.16645        0.18342        0.18928        0.18929        0.20299         0.2153        0.22176          0.227        0.23607        0.24903        0.25786         0.2686         0.2807        0.29212        0.29982        0.31952        0.34252        0.36844        0.40994        0.47024        0.59898        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_07, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_V_U_GAIN_CHECK(EM,J)), welf_checks=2, TR=0.0018238  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        0.051256       0.049485       0.046969       0.044331       0.041985       0.039891       0.038018       0.036339       0.034831       0.033473       0.032249       0.031145       0.030147       0.029244       0.028428       0.027689        0.02702       0.026416       0.025869       0.025376      0.024931        0.024532       0.024175       0.023857       0.023576       0.023329       0.023114        0.02293       0.022775       0.022648       0.022548       0.022474       0.022425         0.0224       0.022399       0.022423       0.022472       0.022545       0.022644       0.022766       0.022912       0.023077       0.023257       0.023416       0.023419       0.022487        0.01442       0.023239       0.023058       0.022877       0.022694       0.022512       0.022329       0.022145       0.021962       0.021773       0.021579       0.021381       0.021185       0.020985        0.02078       0.020574        0.02037       0.020173       0.019988       0.019817       0.019656       0.019506       0.019365       0.019228       0.019102       0.019003       0.018919       0.018834       0.018732       0.018633       0.018542       0.018449       0.018327       0.018158       0.017893       0.017284 
      2       1       0        0.047986       0.045532       0.040481       0.035822       0.032041       0.028948       0.026399       0.024286       0.022523       0.021045       0.019801        0.01875        0.01786       0.017105       0.016463       0.015917       0.015453        0.01506       0.014727       0.014447      0.014211        0.014016       0.013854       0.013723       0.013618       0.013536       0.013474       0.013431       0.013404       0.013392       0.013393       0.013405       0.013428       0.013462       0.013506        0.01356       0.013625       0.013701        0.01379       0.013892       0.014008        0.01414       0.014288       0.014422       0.014514       0.014366       0.010399       0.017503       0.017366       0.017228        0.01709       0.016949       0.016808       0.016667       0.016525       0.016382       0.016236       0.016087       0.015939       0.015787       0.015633       0.015476       0.015323        0.01518       0.015044       0.014917       0.014795       0.014674       0.014564       0.014464       0.014375        0.01429       0.014199       0.014115       0.014042       0.013976       0.013892       0.013811       0.013729       0.013664       0.013514       0.013056 
      3       0       1         0.01129       0.010552      0.0097415      0.0089796      0.0083154      0.0077436      0.0072422      0.0068036      0.0064181      0.0060776      0.0057797      0.0055192      0.0052915      0.0050912      0.0049149      0.0047597      0.0046245      0.0045078      0.0044082      0.0043243      0.004255       0.0041993       0.004156      0.0041244      0.0041038      0.0040938       0.004094       0.004104      0.0041236      0.0041527       0.004191      0.0042382      0.0042941      0.0043587      0.0044322      0.0045154       0.004609      0.0047143      0.0048322      0.0049633      0.0051094      0.0052715      0.0054541      0.0056642      0.0059085      0.0060754      0.0055161      0.0079996      0.0081159      0.0082266      0.0083339      0.0084462      0.0085517      0.0086466      0.0087426      0.0088293      0.0089078      0.0089863      0.0090634      0.0091254      0.0091774      0.0092306      0.0092671      0.0092886      0.0093164      0.0093584      0.0093947      0.0094154      0.0094325      0.0094498      0.0094691      0.0094846      0.0094975      0.0094978      0.0094888      0.0094826      0.0094735      0.0094699       0.009459      0.0093928      0.0091967      0.0085264 
      4       1       1       0.0093296      0.0086141      0.0076904      0.0068414      0.0061429      0.0055604      0.0050725      0.0046675      0.0043269      0.0040372      0.0037885      0.0035766      0.0033968      0.0032437      0.0031132      0.0030021      0.0029081      0.0028294      0.0027643      0.0027117       0.00267       0.0026381      0.0026151      0.0026003      0.0025929      0.0025926      0.0025989      0.0026117      0.0026306      0.0026556      0.0026863      0.0027227      0.0027646       0.002812      0.0028653      0.0029252      0.0029921       0.003066      0.0031478      0.0032378      0.0033365      0.0034472      0.0035737      0.0037193      0.0038941       0.004058      0.0038684      0.0058096      0.0058918       0.005978      0.0060684       0.006151      0.0062285      0.0063007      0.0063686      0.0064332      0.0064984      0.0065627      0.0066141      0.0066595      0.0066979       0.006734      0.0067739      0.0068078      0.0068281      0.0068483      0.0068724      0.0068917      0.0069092      0.0069302       0.006948      0.0069535      0.0069534      0.0069502      0.0069477      0.0069483      0.0069633      0.0069782      0.0069673      0.0069103      0.0067472      0.0063182 

% 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_07, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(MN_MPC_U_GAIN_CHECK(EM,J)), welf_checks=2, TR=0.0018238  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       0.081794       0.085652        0.08723        0.08665       0.085947       0.085754        0.08552       0.085067       0.084889        0.08466       0.084504       0.084411       0.084169       0.084203       0.084122       0.084088       0.084035       0.083968        0.08393       0.083998        0.08401        0.08392       0.084081       0.083995       0.084015       0.084007       0.083954       0.084014       0.083974       0.083957       0.083952       0.084012       0.084258       0.084272       0.084703        0.08517       0.085683        0.08624       0.086916       0.087644       0.088598       0.089744       0.091304       0.093165       0.096742        0.11012        0.11196         0.1554        0.15776        0.16027        0.16299        0.16619        0.16973        0.17268        0.17584        0.17924        0.18292        0.18691        0.19085        0.19477        0.19924        0.20408        0.20984        0.21631         0.2229        0.23002        0.23781        0.24568        0.25426        0.26427         0.2751        0.28642        0.29867        0.31351        0.32835        0.34554         0.3666        0.39411        0.43147        0.49245        0.61562        0.99996  
      2       1       0        0.10602        0.12228        0.12903        0.12307         0.1172        0.11257        0.10802         0.1041        0.10119       0.098017       0.095873       0.093432       0.091552       0.089946       0.088623       0.087518       0.086758       0.086177       0.085346       0.085051       0.084708       0.084376       0.084218       0.084081       0.083948       0.083961       0.083883       0.083903       0.084013       0.084102       0.084337        0.08457       0.084907       0.085276       0.085558       0.086019       0.086433       0.087006       0.087434       0.088171       0.089125       0.090302       0.091737       0.093676       0.096902        0.10816        0.11068        0.15948         0.1625        0.16555          0.168        0.17058         0.1735        0.17658        0.17986         0.1833        0.18696        0.19099        0.19509        0.19919        0.20388        0.20874        0.21454        0.22089        0.22736         0.2348        0.24263        0.25029         0.2593        0.26969        0.28054        0.29165        0.30342        0.31801        0.33266        0.34887        0.36972        0.39709        0.43501        0.49601        0.61843        0.99996  
      3       0       1       0.093649       0.097104       0.096702       0.095946       0.095996       0.096866       0.097909       0.098784       0.098354        0.09721       0.096147       0.095263       0.093051        0.09237       0.092407       0.092521       0.092978        0.09299       0.093276       0.093219       0.093374       0.093125       0.092903       0.092771       0.092461       0.092225       0.091882       0.091108       0.090523       0.089995       0.089146       0.088572       0.088034       0.087606       0.087435       0.087153       0.087019        0.08692        0.08702       0.087912       0.089198       0.090643       0.092117       0.093411       0.094514       0.098896        0.10166         0.1276        0.12623        0.12157        0.12553        0.13011        0.12909         0.1295        0.13897         0.1401         0.1399        0.14432        0.15041        0.15595        0.16383        0.16486         0.1625        0.17255        0.19251        0.20152        0.20145        0.21036        0.22079        0.22978        0.24149         0.2577          0.273          0.283        0.29277        0.30593        0.32664        0.35671        0.40134        0.47128        0.59947        0.99997  
      4       1       1        0.11118        0.12192        0.12057        0.11696        0.11426         0.1128        0.10832        0.10476        0.10267        0.10265        0.10088       0.098063       0.097127       0.096271       0.095865       0.095134       0.096053       0.096294        0.09609       0.094915       0.094565        0.09377       0.093633       0.093014       0.092797       0.092195         0.0924       0.092116        0.09176        0.09164       0.091078       0.090404       0.090107       0.089888        0.09036       0.090036       0.089314       0.088472       0.088384       0.088156         0.0884       0.089162       0.089693       0.090631       0.093961       0.098061       0.097183        0.11982        0.12893        0.13516        0.13946        0.13651        0.13306        0.13328        0.13605         0.1353        0.14849        0.15323        0.15033        0.14643        0.15945        0.17022        0.17918        0.17971        0.18915        0.20024        0.20151        0.21509        0.22884         0.2438        0.25104        0.25601        0.26659        0.27779        0.29417        0.31453        0.34027        0.36706        0.40329        0.46194        0.59675        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);