Tabulate Value and Policy Iteration Results, Store to Mat, Graph Results (Risky + Safe Asset)

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Contents

function [result_map] = ff_akz_vf_post(varargin)

FF_AKZ_VF_POST post ff_akz_vf graphs, tables, mats.

Given the solution form ff_akz_vf, graphs, tables, mats. Graphing code is separately in ff_akz_vf_post_graph.m. Run this function directly with randomly generates matrixes for graph/table testings.

@param param_map container parameter container

@param support_map container support container

@param armt_map container container with states, choices and shocks grids that are inputs for grid based solution algorithm

@param func_map container container with function handles for consumption cash-on-hand etc.

@param result_map container contains policy function matrix, value function matrix, iteration results

@return result_map container add coh consumption and other matrixes to result_map also add table versions of val pol and iter matries

@example

  bl_input_override = true;
  result_map = containers.Map('KeyType','char', 'ValueType','any');
  result_map('mt_val') = mt_val;
  result_map('mt_pol_a') = mt_pol_a;
  result_map('mt_pol_k') = mt_pol_k;
  result_map('ar_val_diff_norm') = ar_val_diff_norm(1:it_iter_last);
  result_map('ar_pol_diff_norm') = ar_pol_diff_norm(1:it_iter_last);
  result_map('mt_pol_perc_change') = mt_pol_perc_change(1:it_iter_last, :);
  result_map = ff_akz_vf_post(param_map, support_map, armt_map, func_map, result_map, bl_input_override);

@include

Default

if (~isempty(varargin))
    % if invoked from outside overrid fully
    [param_map, support_map, armt_map, func_map, result_map] = varargin{:};

    params_group = values(result_map, {'mt_val', 'cl_mt_pol_a', 'cl_mt_pol_k'});
    [mt_val, cl_mt_pol_a, cl_mt_pol_k] = params_group{:};
    [mt_pol_a, mt_pol_k] = deal(cl_mt_pol_a{1}, cl_mt_pol_k{1});

    params_group = values(result_map, {'ar_val_diff_norm', 'ar_pol_diff_norm', 'mt_pol_perc_change'});
    [ar_val_diff_norm, ar_pol_diff_norm, mt_pol_perc_change] = params_group{:};

    % Get Parameters
    params_group = values(param_map, {'it_z_n'});
    [it_z_n] = params_group{:};
    params_group = values(armt_map, {'ar_a_meshk', 'ar_k_mesha', 'mt_coh_wkb', 'it_ameshk_n'});
    [ar_a_meshk, ar_k_mesha, mt_coh_wkb, it_ameshk_n] = params_group{:};

else
    clear all;
    close all;

    % internal invoke for testing
    it_param_set = 4;
    bl_input_override = true;

    % Get Parameters
    [param_map, support_map] = ffs_akz_set_default_param(it_param_set);
    [armt_map, func_map] = ffs_akz_get_funcgrid(param_map, support_map, bl_input_override); % 1 for override

    % Generate Default val and policy matrixes
    params_group = values(param_map, {'it_maxiter_val', 'it_z_n'});
    [it_maxiter_val, it_z_n] = params_group{:};
    params_group = values(armt_map, {'ar_a_meshk', 'ar_k_mesha', 'ar_z', 'mt_coh_wkb', 'it_ameshk_n'});
    [ar_a_meshk, ar_k_mesha, ar_z, mt_coh_wkb, it_ameshk_n] = params_group{:};
    params_group = values(func_map, {'f_util_standin', 'f_cons', 'f_coh'});
    [f_util_standin, f_cons, f_coh] = params_group{:};

    % Set Defaults
    mt_val = f_util_standin(ar_z, ar_a_meshk, ar_k_mesha);
    mt_pol_aksum = mt_coh_wkb.*(cumsum(sort(ar_z))/sum(ar_z)*0.4 + 0.4);
    mt_pol_a = mt_pol_aksum.*(0.7 - cumsum(sort(ar_z))/sum(ar_z)*0.3);
    mt_pol_k = mt_pol_aksum - mt_pol_a;
    it_iter_max = min(it_maxiter_val, 50);
    ar_val_diff_norm = rand([it_iter_max, 1]);
    ar_pol_diff_norm = rand([it_iter_max, 1]);
    mt_pol_perc_change = rand([it_iter_max, it_z_n]);

    % Set Results Map
    result_map = containers.Map('KeyType','char', 'ValueType','any');
    result_map('mt_val') = mt_val;
    result_map('cl_mt_pol_a') = {mt_pol_a, zeros(1)};
    result_map('cl_mt_pol_k') = {mt_pol_k, zeros(1)};

end

Parse Parameter

% Get Parameters
params_group = values(param_map, {'st_model'});
[st_model] = params_group{:};

% armt_map
if (ismember(st_model, ["ipwkbzr", "ipwkbzr_fibs"]))
    if (ismember(st_model, ["ipwkbzr"]))
        params_group = values(armt_map, {'ar_z_r_borr_mesh_wage_w1r2', 'ar_z_wage_mesh_r_borr_w1r2'});
        [ar_z_r_borr_mesh_wage_w1r2, ar_z_wage_mesh_r_borr_w1r2] = params_group{:};
        params_group = values(param_map, {'fl_z_r_borr_n'});
        [fl_z_r_borr_n] = params_group{:};
    elseif (ismember(st_model, ["ipwkbzr_fibs"]))
        params_group = values(armt_map, {'ar_z_r_infbr_mesh_wage_w1r2', 'ar_z_wage_mesh_r_infbr_w1r2'});
        [ar_z_r_borr_mesh_wage_w1r2, ar_z_wage_mesh_r_borr_w1r2] = params_group{:};
        params_group = values(param_map, {'fl_z_r_infbr_n'});
        [fl_z_r_borr_n] = params_group{:};
    end
else
    params_group = values(armt_map, {'ar_z'});
    [ar_z] = params_group{:};
end

% support_map
params_group = values(support_map, {'bl_display_final', 'it_display_final_rowmax', 'it_display_final_colmax'});
[bl_display_final, it_display_final_rowmax, it_display_final_colmax] = params_group{:};
params_group = values(support_map, {'bl_graph', 'bl_graph_onebyones'});
[bl_graph] = params_group{:};
params_group = values(support_map, {'bl_mat', 'st_mat_path', 'st_mat_prefix', 'st_mat_name_main', 'st_mat_suffix'});
[bl_mat, st_mat_path, st_mat_prefix, st_mat_name_main, st_mat_suffix] = params_group{:};

Generate Consumption and Income Matrix

if (~isKey(result_map, 'cl_mt_cons'))
    f_cons = func_map('f_cons');
    mt_cons = f_cons(mt_coh_wkb, mt_pol_a, mt_pol_k);
    result_map('cl_mt_cons') = {mt_cons, zeros(1)};
end
if (~isKey(result_map, 'cl_mt_coh'))
    f_coh = func_map('f_coh');
    mt_coh = f_coh(ar_z, ar_a_meshk, ar_k_mesha);
    result_map('cl_mt_coh') = {mt_coh, zeros(1)};
end

Save Mat

if (bl_mat)
    mkdir(support_map('st_mat_path'));
    st_file_name = [st_mat_prefix st_mat_name_main st_mat_suffix];
    save(strcat(st_mat_path, st_file_name));
end

Generate and Save Graphs

if (bl_graph)
    bl_input_override = true;
    ff_akz_vf_post_graph(param_map, support_map, armt_map, func_map, result_map, bl_input_override);
end

Display Val Pol Iter Table

if (bl_display_final)

    % Columns to Display
    if (it_z_n >= it_display_final_colmax)
        ar_it_cols = (1:1:round(it_display_final_colmax/2));
        ar_it_cols = [ar_it_cols ((it_z_n)-round(it_display_final_colmax/2)+1):1:(it_z_n)];
    else
        ar_it_cols = 1:1:it_z_n;
    end
    ar_it_cols = unique(ar_it_cols);

    % Column Z Names
    if (ismember(st_model, ["ipwkbzr", "ipwkbzr_fibs"]))
        if (fl_z_r_borr_n == 1)
            ar_st_col_zs = matlab.lang.makeValidName(strcat('z', string(ar_it_cols), '=', string(ar_z_wage_mesh_r_borr_w1r2(ar_it_cols))));
        else
            ar_st_col_zs = matlab.lang.makeValidName(strcat('zi', string(ar_it_cols), ...
                                                            ':zr=', string(ar_z_r_borr_mesh_wage_w1r2(ar_it_cols)), ...
                                                            ';zw=', string(ar_z_wage_mesh_r_borr_w1r2(ar_it_cols))));
        end
    else
        ar_st_col_zs = matlab.lang.makeValidName(strcat('z', string(ar_it_cols), '=', string(ar_z(ar_it_cols))));
    end

    % Display Value Function Iteration Step by Step REsults
    it_iter_max = length(ar_val_diff_norm);
    if (it_iter_max >= it_display_final_rowmax)
        ar_it_rows_iter = (1:1:round(it_display_final_rowmax/2));
        ar_it_rows_iter = [ar_it_rows_iter ((it_iter_max)-round(it_display_final_rowmax/2)+1):1:(it_iter_max)];
    else
        ar_it_rows_iter = 1:1:it_iter_max;
    end
    tb_valpol_alliter = array2table([ar_val_diff_norm(ar_it_rows_iter)';...
                                     ar_pol_diff_norm(ar_it_rows_iter)';...
                                     mt_pol_perc_change(ar_it_rows_iter, :)']');

    cl_col_names = ['valgap', 'polgap', strcat('z', string((1:it_z_n)))];
    cl_row_names = strcat('iter=', string(ar_it_rows_iter));
    tb_valpol_alliter.Properties.VariableNames = cl_col_names;
    tb_valpol_alliter.Properties.RowNames = cl_row_names;
    tb_valpol_alliter.Properties.VariableDescriptions{'valgap'} = 'norm(mt_val - mt_val_cur)';
    tb_valpol_alliter.Properties.VariableDescriptions{'polgap'} = 'norm(mt_pol_a - mt_pol_a_cur)';
    tb_valpol_alliter.Properties.VariableDescriptions{'z1'} = 'z1 perc change: sum((mt_pol_a ~= mt_pol_a_cur))/(it_ameshk_n)';

    disp('valgap = norm(mt_val - mt_val_cur): value function difference across iterations');
    disp('polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations');
    disp(['z1 = z1 perc change: (sum((mt_pol_a ~= mt_pol_a_cur))+sum((mt_pol_k ~= mt_pol_k_cur)))/(2*it_ameshk_n):' ...
          'percentage of state space points conditional on shock where the policy function is changing across iterations']);
    disp(tb_valpol_alliter);

    % Display Values by States
    % at most display 11 columns of shocks
    % at most display 50 rows for states
    % display first and last
    if (it_ameshk_n >= it_display_final_rowmax)
        ar_it_rows = (1:1:round(it_display_final_rowmax/2));
        ar_it_rows = [ar_it_rows ((it_ameshk_n)-round(it_display_final_rowmax/2)+1):1:(it_ameshk_n)];
    else
        ar_it_rows = 1:1:it_ameshk_n;
    end
    mt_val_print = mt_val(ar_it_rows, ar_it_cols);
    mt_pol_a_print = mt_pol_a(ar_it_rows, ar_it_cols);
    mt_pol_k_print = mt_pol_k(ar_it_rows, ar_it_cols);
    mt_pol_w_print = mt_pol_a_print + mt_pol_k_print;

    % Row Name Define
    ar_st_row_coh = strcat('coh', string(ar_it_rows), ...
                            ':k=', string(ar_a_meshk(ar_it_rows)'), ...
                            ',b=', string(ar_k_mesha(ar_it_rows)'));

    % Display Optimal Values
    tb_val = array2table(mt_val_print);
    tb_val.Properties.RowNames = ar_st_row_coh;
    tb_val.Properties.VariableNames = ar_st_col_zs;
    disp('tb_val: V(a,z) value at each state space point');
    disp(tb_val);

    % Display Optimal Choices for a
    tb_pol_a = array2table(mt_pol_a_print);
    tb_pol_a.Properties.RowNames = ar_st_row_coh;
    tb_pol_a.Properties.VariableNames = ar_st_col_zs;
    disp('tb_pol_a: optimal safe savings choice for each state space point');
    disp(tb_pol_a);

    % Display Optimal Choices for k
    tb_pol_k = array2table(mt_pol_k_print);
    tb_pol_k.Properties.RowNames = ar_st_row_coh;
    tb_pol_k.Properties.VariableNames = ar_st_col_zs;
    disp('tb_pol_k: optimal risky investment choice for each state space point');
    disp(tb_pol_k);

    % Display Optimal Choices for k+a
    tb_pol_w = array2table(mt_pol_w_print);
    tb_pol_w.Properties.RowNames = ar_st_row_coh;
    tb_pol_w.Properties.VariableNames = ar_st_col_zs;
    disp('tb_pol_w: risky + safe investment choices (first stage choice, choose within risky vs safe)');
    disp(tb_pol_w);

    % Save to result map
    result_map('tb_valpol_alliter') = tb_valpol_alliter;
    result_map('tb_val') = tb_val;
    result_map('tb_pol_a') = tb_pol_a;

end
valgap = norm(mt_val - mt_val_cur): value function difference across iterations
polgap = norm(mt_pol_a - mt_pol_a_cur): policy function difference across iterations
z1 = z1 perc change: (sum((mt_pol_a ~= mt_pol_a_cur))+sum((mt_pol_k ~= mt_pol_k_cur)))/(2*it_ameshk_n):percentage of state space points conditional on shock where the policy function is changing across iterations
                valgap      polgap        z1           z2          z3          z4          z5          z6          z7           z8           z9         z10          z11          z12         z13         z14         z15   
               ________    ________    _________    ________    ________    ________    ________    ________    _________    _________    ________    ________    __________    ________    ________    ________    ________

    iter=1      0.81472     0.27603      0.16218     0.41727     0.64432     0.96309    0.059619     0.30145      0.42289      0.91599     0.58225     0.73634       0.85071     0.14651     0.55903     0.45606     0.68372
    iter=2      0.90579      0.6797      0.79428    0.049654     0.37861     0.54681     0.68197      0.7011     0.094229    0.0011511     0.54074     0.39471       0.56056     0.18907      0.8541     0.10167     0.13208
    iter=3      0.12699      0.6551      0.31122     0.90272     0.81158     0.52114    0.042431     0.66634      0.59852      0.46245     0.86994     0.68342       0.92961    0.042652     0.34788     0.99539     0.72272
    iter=4      0.91338     0.16261      0.52853     0.94479     0.53283     0.23159    0.071445     0.53913      0.47092      0.42435     0.26478     0.70405       0.69667      0.6352     0.44603     0.33209     0.11035
    iter=5      0.63236       0.119      0.16565     0.49086     0.35073      0.4889     0.52165     0.69811      0.69595      0.46092     0.31807     0.44231       0.58279     0.28187    0.054239     0.29735     0.11749
    iter=6      0.09754     0.49836      0.60198     0.48925       0.939     0.62406     0.09673     0.66653      0.69989      0.77016     0.11921    0.019578        0.8154      0.5386     0.17711    0.062045     0.64072
    iter=7       0.2785     0.95974      0.26297     0.33772     0.87594     0.67914     0.81815     0.17813      0.63853      0.32247     0.93983     0.33086       0.87901     0.69516     0.66281     0.29824     0.32881
    iter=8      0.54688     0.34039      0.65408     0.90005     0.55016     0.39552     0.81755     0.12801     0.033604      0.78474     0.64555     0.42431       0.98891     0.49912     0.33083    0.046351     0.65381
    iter=9      0.95751     0.58527      0.68921     0.36925     0.62248     0.36744     0.72244     0.99908     0.068806      0.47136     0.47946     0.27027    0.00052238      0.5358     0.89849     0.50543     0.74913
    iter=10     0.96489     0.22381      0.74815      0.1112     0.58704     0.98798     0.14987     0.17112       0.3196     0.035763     0.63932     0.19705       0.86544     0.44518     0.11816     0.76143     0.58319
    iter=11     0.15761     0.75127      0.45054     0.78025     0.20774    0.037739     0.65961    0.032601      0.53086      0.17587     0.54472     0.82172       0.61257     0.12393     0.98842     0.63107     0.74003
    iter=12     0.97059      0.2551     0.083821     0.38974     0.30125     0.88517     0.51859      0.5612      0.65445      0.72176     0.64731     0.42992       0.98995     0.49036     0.53998    0.089892     0.23483
    iter=13     0.95717     0.50596      0.22898     0.24169     0.47092     0.91329     0.97297     0.88187      0.40762      0.47349     0.54389     0.88777       0.52768       0.853     0.70692    0.080862     0.73496
    iter=14     0.48538     0.69908      0.91334     0.40391     0.23049     0.79618     0.64899     0.66918      0.81998      0.15272     0.72105     0.39118       0.47952     0.87393     0.99949     0.77724      0.9706
    iter=15     0.80028      0.8909      0.15238    0.096455     0.84431    0.098712     0.80033     0.19043      0.71836      0.34112      0.5225     0.76911       0.80135     0.27029     0.28785     0.90513     0.86693
    iter=16     0.14189     0.95929      0.82582     0.13197     0.19476     0.26187      0.4538     0.36892      0.96865      0.60739      0.9937     0.39679       0.22784     0.20846     0.41452     0.53377    0.086235
    iter=17     0.42176     0.54722      0.53834     0.94205     0.22592     0.33536     0.43239     0.46073      0.53133      0.19175     0.21868     0.80851       0.49809     0.56498     0.46484     0.10915     0.36644
    iter=18     0.91574     0.13862      0.99613     0.95613     0.17071     0.67973     0.82531     0.98164      0.32515      0.73843      0.1058     0.75508       0.90085     0.64031     0.76396     0.82581      0.3692
    iter=19     0.79221     0.14929     0.078176     0.57521     0.22766     0.13655     0.08347      0.1564      0.10563      0.24285      0.1097      0.3774       0.57466     0.41703      0.8182      0.3381     0.68503
    iter=20     0.95949     0.25751      0.44268     0.05978      0.4357     0.72123     0.13317     0.85552      0.61096      0.91742    0.063591     0.21602       0.84518     0.20598     0.10022     0.29397     0.59794
    iter=21     0.65574     0.84072      0.10665     0.23478      0.3111     0.10676     0.17339     0.64476       0.7788      0.26906     0.40458     0.79041       0.73864     0.94793     0.17812     0.74631     0.78936
    iter=22    0.035712     0.25428       0.9619     0.35316     0.92338     0.65376     0.39094     0.37627      0.42345       0.7655     0.44837      0.9493       0.58599    0.082071     0.35963    0.010337     0.36765
    iter=23     0.84913     0.81428    0.0046342     0.82119     0.43021     0.49417     0.83138     0.19092     0.090823      0.18866     0.36582     0.32757       0.24673     0.10571    0.056705    0.048447     0.20603
    iter=24     0.93399     0.24352      0.77491    0.015403     0.18482     0.77905     0.80336     0.42825      0.26647       0.2875      0.7635     0.67126       0.66642     0.14204     0.52189     0.66792    0.086667
    iter=25     0.67874     0.92926       0.8173    0.043024     0.90488     0.71504    0.060471     0.48202      0.15366     0.091113      0.6279     0.43864      0.083483     0.16646     0.33585     0.60347     0.77193
    iter=26     0.75774     0.34998      0.86869     0.16899     0.97975     0.90372     0.39926     0.12061      0.28101      0.57621     0.77198      0.8335       0.62596     0.62096     0.17567      0.5261     0.20567
    iter=27     0.74313      0.1966     0.084436     0.64912     0.43887     0.89092     0.52688     0.58951      0.44009      0.68336     0.93285     0.76885       0.66094     0.57371     0.20895     0.72971     0.38827
    iter=28     0.39223     0.25108      0.39978     0.73172     0.11112     0.33416      0.4168     0.22619      0.52714      0.54659     0.97274     0.16725       0.72975    0.052078     0.90515     0.70725     0.55178
    iter=29     0.65548     0.61604      0.25987     0.64775     0.25806     0.69875     0.65686     0.38462      0.45742      0.42573     0.19203     0.86198       0.89075      0.9312     0.67539     0.78138     0.22895
    iter=30     0.17119     0.47329      0.80007     0.45092     0.40872     0.19781     0.62797     0.58299      0.87537      0.64444     0.13887     0.98987        0.9823     0.72866     0.46847     0.28798     0.64194
    iter=31     0.70605     0.35166      0.43141     0.54701      0.5949    0.030541     0.29198     0.25181      0.51805      0.64762     0.69627     0.51442       0.76903     0.73784     0.91213     0.69253     0.48448
    iter=32    0.031833     0.83083      0.91065     0.29632     0.26221     0.74407     0.43165     0.29044      0.94362      0.67902     0.09382     0.88428       0.58145    0.063405     0.10401     0.55667     0.15185
    iter=33     0.27692     0.58526      0.18185     0.74469     0.60284     0.50002    0.015487     0.61709      0.63771      0.63579      0.5254     0.58803       0.92831     0.86044     0.74555     0.39652     0.78193
    iter=34    0.046171     0.54972       0.2638     0.18896     0.71122     0.47992     0.98406     0.26528      0.95769      0.94517     0.53034     0.15475       0.58009     0.93441     0.73627    0.061591     0.10061
    iter=35    0.097132     0.91719      0.14554     0.68678     0.22175     0.90472     0.16717     0.82438      0.24071      0.20893     0.86114     0.19986      0.016983      0.9844     0.56186     0.78018     0.29407
    iter=36     0.82346     0.28584      0.13607     0.18351     0.11742     0.60987     0.10622     0.98266      0.67612      0.70928     0.48485     0.40695       0.12086     0.85894     0.18419     0.33758     0.23737
    iter=37     0.69483      0.7572      0.86929     0.36848     0.29668     0.61767     0.37241     0.73025      0.28906      0.23623     0.39346     0.74871       0.86271     0.78556     0.59721     0.60787     0.53087
    iter=38      0.3171     0.75373       0.5797     0.62562     0.31878     0.85944     0.19812     0.34388      0.67181       0.1194     0.67143     0.82558        0.4843     0.51338     0.29994     0.74125    0.091499
    iter=39     0.95022     0.38045      0.54986     0.78023     0.42417     0.80549     0.48969     0.58407      0.69514       0.6073     0.74126     0.78996       0.84486      0.1776     0.13412     0.10481     0.40532
    iter=40    0.034446     0.56782      0.14495    0.081126     0.50786     0.57672     0.33949     0.10777     0.067993      0.45014     0.52005     0.31852       0.20941     0.39859      0.2126     0.12789     0.10485
    iter=41     0.43874    0.075854      0.85303     0.92939    0.085516     0.18292     0.95163     0.90631      0.25479      0.45873     0.34771     0.53406       0.55229     0.13393     0.89494     0.54954     0.11228
    iter=42     0.38156     0.05395      0.62206     0.77571     0.26248     0.23993     0.92033     0.87965      0.22404      0.66194        0.15    0.089951       0.62988     0.03089    0.071453     0.48523     0.78443
    iter=43     0.76552      0.5308      0.35095     0.48679     0.80101     0.88651    0.052677     0.81776      0.66783      0.77029     0.58609     0.11171      0.031991     0.93914     0.24249     0.89048     0.29157
    iter=44      0.7952     0.77917      0.51325     0.43586     0.02922    0.028674     0.73786     0.26073      0.84439      0.35022     0.26215     0.13629       0.61471     0.30131    0.053754     0.79896     0.60353
    iter=45     0.18687     0.93401      0.40181     0.44678     0.92885      0.4899     0.26912     0.59436      0.34446      0.66201    0.044454     0.67865       0.36241     0.29553     0.44172     0.73434     0.96442
    iter=46     0.48976     0.12991     0.075967     0.30635     0.73033     0.16793     0.42284    0.022513      0.78052      0.41616     0.75493     0.49518      0.049533     0.33294    0.013283    0.051332     0.43248
    iter=47     0.44559     0.56882      0.23992     0.50851     0.48861     0.97868     0.54787     0.42526      0.67533      0.84193     0.24279     0.18971       0.48957     0.46707     0.89719    0.072885     0.69475
    iter=48     0.64631     0.46939      0.12332     0.51077     0.57853     0.71269     0.94274     0.31272    0.0067153      0.83292      0.4424     0.49501       0.19251      0.6482     0.19666    0.088527      0.7581
    iter=49     0.70936    0.011902      0.18391     0.81763     0.23728     0.50047     0.41774     0.16148      0.60217      0.25644      0.6878     0.14761       0.12308    0.025228    0.093371     0.79835     0.43264
    iter=50     0.75469     0.33712      0.23995     0.79483     0.45885     0.47109     0.98305     0.17877      0.38677      0.61346     0.35923    0.054974       0.20549     0.84221     0.30737     0.94301      0.6555

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

    coh1:k=0,b=0                    -0.81272      -0.81272     -0.81272     -0.81272      -0.81272      -0.81272      -0.81272      -0.81272      -0.81272      -0.81272      -0.81272     -0.81272 
    coh2:k=1.02041,b=0               0.39849       0.39849      0.39849      0.39849       0.39849       0.39849       0.39849       0.39849       0.39849       0.39849       0.39849      0.39849 
    coh3:k=0,b=1.02041               0.54949       0.58004      0.61416      0.65212        0.6942       0.74063        0.9739        1.0447        1.1207        1.2016        1.2876       1.3783 
    coh4:k=2.04082,b=0               0.93038       0.93038      0.93038      0.93038       0.93038       0.93038       0.93038       0.93038       0.93038       0.93038       0.93038      0.93038 
    coh5:k=1.02041,b=1.02041          1.0218         1.041       1.0626       1.0871        1.1145        1.1452        1.3068         1.358        1.4141        1.4751        1.5411       1.6123 
    coh6:k=0,b=2.04082                 1.019        1.0436       1.0712       1.1022        1.1367        1.1752        1.3727         1.434        1.5003        1.5718        1.6483       1.7299 
    coh7:k=3.06122,b=0                1.2758        1.2758       1.2758       1.2758        1.2758        1.2758        1.2758        1.2758        1.2758        1.2758        1.2758       1.2758 
    coh8:k=2.04082,b=1.02041          1.3414        1.3553       1.3712       1.3892        1.4095        1.4325        1.5561        1.5962        1.6407        1.6896        1.7432       1.8017 
    coh9:k=1.02041,b=2.04082          1.3393        1.3572       1.3774       1.4003        1.4261         1.455        1.6078        1.6566          1.71        1.7683        1.8316          1.9 
    coh10:k=0,b=3.06122               1.3296        1.3505       1.3741       1.4006        1.4304        1.4636         1.637        1.6917        1.7512        1.8158        1.8854       1.9601 
    coh11:k=4.08163,b=0                1.532         1.532        1.532        1.532         1.532         1.532         1.532         1.532         1.532         1.532         1.532        1.532 
    coh12:k=3.06122,b=1.02041         1.5831        1.5941       1.6066       1.6208         1.637        1.6554        1.7554        1.7885        1.8253        1.8661        1.9113       1.9609 
    coh13:k=2.04082,b=2.04082         1.5815        1.5956       1.6116       1.6297        1.6503        1.6734         1.798        1.8385        1.8833        1.9325        1.9865       2.0453 
    coh14:k=1.02041,b=3.06122         1.5739        1.5903       1.6089         1.63        1.6537        1.6804        1.8223        1.8679         1.918        1.9729        2.0327       2.0975 
    coh15:k=0,b=4.08163               1.5634        1.5818       1.6026        1.626        1.6524         1.682         1.838        1.8877        1.9421        2.0014        2.0657       2.1351 
    coh16:k=5.10204,b=0               1.7358        1.7358       1.7358       1.7358        1.7358        1.7358        1.7358        1.7358        1.7358        1.7358        1.7358       1.7358 
    coh17:k=4.08163,b=1.02041         1.7777        1.7867        1.797       1.8088        1.8223        1.8375        1.9216        1.9497        1.9811        2.0161        2.0551       2.0982 
    coh18:k=3.06122,b=2.04082         1.7763        1.7879       1.8012       1.8162        1.8333        1.8526        1.9578        1.9924        2.0309        2.0735        2.1206       2.1722 
    coh19:k=2.04082,b=3.06122         1.7701        1.7836        1.799       1.8164        1.8361        1.8584        1.9785        2.0176         2.061        2.1087        2.1611       2.2183 
    coh20:k=1.02041,b=4.08163         1.7615        1.7766       1.7937       1.8131         1.835        1.8598        1.9919        2.0347        2.0819        2.1336        2.1902       2.2517 
    coh21:k=0,b=5.10204               1.7513        1.7678       1.7865       1.8077        1.8316        1.8584        2.0011        2.0469        2.0973        2.1525        2.2125       2.2776 
    coh22:k=6.12245,b=0                1.905         1.905        1.905        1.905         1.905         1.905         1.905         1.905         1.905         1.905         1.905        1.905 
    coh23:k=5.10204,b=1.02041         1.9405        1.9482       1.9569        1.967        1.9785        1.9915        2.0641        2.0884        2.1158        2.1465        2.1808        2.219 
    coh24:k=4.08163,b=2.04082         1.9393        1.9492       1.9605       1.9733        1.9879        2.0045        2.0955        2.1257        2.1595        2.1971        2.2388       2.2848 
    coh25:k=3.06122,b=3.06122          1.934        1.9455       1.9586       1.9735        1.9903        2.0095        2.1136        2.1478         2.186        2.2282        2.2749       2.3261 
    coh26:k=2.04082,b=4.08163         1.9267        1.9395       1.9541       1.9707        1.9894        2.0106        2.1253        2.1628        2.2044        2.2504        2.3009       2.3561 
    coh27:k=1.02041,b=5.10204         1.9181        1.9321        1.948        1.966        1.9864        2.0095        2.1333        2.1736        2.2181        2.2672        2.3209       2.3794 
    coh28:k=0,b=6.12245               1.9086        1.9236       1.9407       1.9601         1.982        2.0067        2.1388        2.1815        2.2286        2.2803        2.3369       2.3983 
    coh29:k=7.14286,b=0               2.0496        2.0496       2.0496       2.0496        2.0496        2.0496        2.0496        2.0496        2.0496        2.0496        2.0496       2.0496 
    coh30:k=6.12245,b=1.02041         2.0804        2.0871       2.0948       2.1035        2.1136         2.125        2.1887        2.2103        2.2346        2.2619        2.2925       2.3267 
    coh31:k=5.10204,b=2.04082         2.0794         2.088       2.0978        2.109        2.1218        2.1363        2.2165        2.2434        2.2734         2.307        2.3445        2.386 
    coh32:k=4.08163,b=3.06122         2.0749        2.0848       2.0962       2.1092        2.1239        2.1407        2.2325         2.263        2.2971         2.335         2.377       2.4234 
    coh33:k=3.06122,b=4.08163         2.0685        2.0796       2.0923       2.1067        2.1231        2.1417         2.243        2.2764        2.3136        2.3549        2.4005       2.4506 
    coh34:k=2.04082,b=5.10204          2.061        2.0732        2.087       2.1027        2.1205        2.1407        2.2501         2.286        2.3259          2.37        2.4186       2.4719 
    coh35:k=1.02041,b=6.12245         2.0527        2.0658       2.0807       2.0975        2.1167        2.1383         2.255        2.2931        2.3353        2.3819        2.4331       2.4891 
    coh36:k=0,b=7.14286               2.0438        2.0578       2.0736       2.0915        2.1119        2.1348        2.2582        2.2983        2.3427        2.3915        2.4451       2.5035 
    coh37:k=8.16327,b=0                2.176         2.176        2.176        2.176         2.176         2.176         2.176         2.176         2.176         2.176         2.176        2.176 
    coh38:k=7.14286,b=1.02041         2.2032        2.2091       2.2159       2.2237        2.2325        2.2427        2.2995        2.3189        2.3407        2.3653        2.3929       2.4239 
    coh39:k=6.12245,b=2.04082         2.2023        2.2099       2.2186       2.2285        2.2399        2.2528        2.3245        2.3486        2.3757        2.4061          2.44       2.4778 
    coh40:k=5.10204,b=3.06122         2.1983        2.2071       2.2172       2.2287        2.2418        2.2567        2.3389        2.3663        2.3971        2.4315        2.4697        2.512 
    coh41:k=4.08163,b=4.08163         2.1926        2.2025       2.2137       2.2265         2.241        2.2576        2.3483        2.3784        2.4121        2.4496        2.4911        2.537 
    coh42:k=3.06122,b=5.10204          2.186        2.1968        2.209       2.2229        2.2387        2.2567        2.3547        2.3871        2.4232        2.4633        2.5077       2.5565 
    coh43:k=2.04082,b=6.12245         2.1787        2.1903       2.2034       2.2183        2.2353        2.2545         2.359        2.3935        2.4318        2.4742         2.521       2.5724 
    coh44:k=1.02041,b=7.14286         2.1709        2.1832       2.1971        2.213         2.231        2.2514        2.3619        2.3982        2.4384        2.4829        2.5319       2.5856 
    coh45:k=0,b=8.16327               2.1626        2.1756       2.1903       2.2071        2.2261        2.2476        2.3637        2.4016        2.4436          2.49         2.541       2.5968 
    coh46:k=9.18367,b=0               2.2882        2.2882       2.2882       2.2882        2.2882        2.2882        2.2882        2.2882        2.2882        2.2882        2.2882       2.2882 
    coh47:k=8.16327,b=1.02041         2.3125        2.3178       2.3239       2.3309        2.3389         2.348        2.3993        2.4168        2.4366         2.459        2.4842       2.5125 
    coh48:k=7.14286,b=2.04082         2.3117        2.3185       2.3263       2.3353        2.3454        2.3571        2.4219        2.4438        2.4685        2.4962        2.5273        2.562 
    coh49:k=6.12245,b=3.06122         2.3081         2.316        2.325       2.3354        2.3472        2.3606         2.435        2.4599         2.488        2.5194        2.5545       2.5934 
    coh50:k=5.10204,b=4.08163         2.3031        2.3119       2.3219       2.3334        2.3465        2.3614        2.4435        2.4709        2.5017         2.536        2.5742       2.6165 
    coh1226:k=50,b=0                  3.9453        3.9453       3.9453       3.9453        3.9453        3.9453        3.9453        3.9453        3.9453        3.9453        3.9453       3.9453 
    coh1227:k=48.9796,b=1.02041         3.95        3.9511       3.9522       3.9536        3.9552         3.957        3.9675        3.9712        3.9754        3.9802        3.9858       3.9922 
    coh1228:k=47.9592,b=2.04082       3.9499        3.9512       3.9527       3.9545        3.9565        3.9588        3.9723        3.9769        3.9823        3.9885        3.9956       4.0037 
    coh1229:k=46.9388,b=3.06122       3.9492        3.9507       3.9525       3.9545        3.9569        3.9596         3.975        3.9804        3.9866        3.9938        4.0019       4.0112 
    coh1230:k=45.9184,b=4.08163       3.9482        3.9499       3.9519       3.9541        3.9567        3.9597        3.9769        3.9829        3.9897        3.9976        4.0066       4.0168 
    coh1231:k=44.898,b=5.10204        3.9471        3.9489        3.951       3.9535        3.9563        3.9596        3.9781        3.9846         3.992        4.0005        4.0102       4.0213 
    coh1232:k=43.8776,b=6.12245       3.9458        3.9478       3.9501       3.9527        3.9557        3.9592         3.979        3.9859        3.9938        4.0029        4.0132        4.025 
    coh1233:k=42.8571,b=7.14286       3.9445        3.9466        3.949       3.9517        3.9549        3.9586        3.9796        3.9869        3.9952        4.0048        4.0157       4.0281 
    coh1234:k=41.8367,b=8.16327       3.9431        3.9453       3.9478       3.9507        3.9541        3.9579        3.9799        3.9876        3.9963        4.0063        4.0177       4.0307 
    coh1235:k=40.8163,b=9.18367       3.9416        3.9439       3.9465       3.9496        3.9531        3.9571        3.9801        3.9881        3.9972        4.0076        4.0195        4.033 
    coh1236:k=39.7959,b=10.2041       3.9401        3.9425       3.9452       3.9484         3.952        3.9562        3.9801        3.9884        3.9979        4.0087         4.021       4.0351 
    coh1237:k=38.7755,b=11.2245       3.9386         3.941       3.9439       3.9472        3.9509        3.9553          3.98        3.9886        3.9984        4.0095        4.0223       4.0368 
    coh1238:k=37.7551,b=12.2449        3.937        3.9395       3.9425       3.9459        3.9498        3.9543        3.9798        3.9886        3.9987        4.0103        4.0234       4.0384 
    coh1239:k=36.7347,b=13.2653       3.9354         3.938       3.9411       3.9446        3.9486        3.9532        3.9795        3.9886         3.999        4.0108        4.0244       4.0397 
    coh1240:k=35.7143,b=14.2857       3.9338        3.9365       3.9396       3.9432        3.9473        3.9521        3.9791        3.9884        3.9991        4.0113        4.0252       4.0409 
    coh1241:k=34.6939,b=15.3061       3.9321        3.9349       3.9381       3.9418         3.946        3.9509        3.9786        3.9882        3.9992        4.0116        4.0259        4.042 
    coh1242:k=33.6735,b=16.3265       3.9304        3.9333       3.9366       3.9404        3.9447        3.9497        3.9781        3.9879        3.9991        4.0119        4.0264        4.043 
    coh1243:k=32.6531,b=17.3469       3.9287        3.9317        3.935       3.9389        3.9433        3.9484        3.9775        3.9875         3.999        4.0121        4.0269       4.0438 
    coh1244:k=31.6327,b=18.3673        3.927          3.93       3.9335       3.9374         3.942        3.9472        3.9768        3.9871        3.9988        4.0122        4.0273       4.0445 
    coh1245:k=30.6122,b=19.3878       3.9253        3.9284       3.9319       3.9359        3.9405        3.9459        3.9762        3.9866        3.9986        4.0122        4.0276       4.0452 
    coh1246:k=29.5918,b=20.4082       3.9236        3.9267       3.9303       3.9344        3.9391        3.9445        3.9754        3.9861        3.9983        4.0121        4.0279       4.0457 
    coh1247:k=28.5714,b=21.4286       3.9218         3.925       3.9286       3.9328        3.9376        3.9432        3.9746        3.9855        3.9979         4.012         4.028       4.0462 
    coh1248:k=27.551,b=22.449           3.92        3.9233        3.927       3.9313        3.9362        3.9418        3.9738        3.9849        3.9975        4.0119        4.0282       4.0466 
    coh1249:k=26.5306,b=23.4694       3.9182        3.9215       3.9253       3.9297        3.9347        3.9404         3.973        3.9842        3.9971        4.0116        4.0282        4.047 
    coh1250:k=25.5102,b=24.4898       3.9164        3.9198       3.9236       3.9281        3.9332         3.939        3.9721        3.9835        3.9966        4.0114        4.0282       4.0473 
    coh1251:k=24.4898,b=25.5102       3.9146         3.918       3.9219       3.9265        3.9316        3.9375        3.9712        3.9828         3.996        4.0111        4.0281       4.0475 
    coh1252:k=23.4694,b=26.5306       3.9128        3.9163       3.9202       3.9248        3.9301        3.9361        3.9703         3.982        3.9955        4.0107         4.028       4.0477 
    coh1253:k=22.449,b=27.551          3.911        3.9145       3.9185       3.9232        3.9285        3.9346        3.9693        3.9812        3.9949        4.0103        4.0279       4.0478 
    coh1254:k=21.4286,b=28.5714       3.9091        3.9127       3.9168       3.9215        3.9269        3.9331        3.9683        3.9804        3.9942        4.0099        4.0277       4.0479 
    coh1255:k=20.4082,b=29.5918       3.9073        3.9109       3.9151       3.9198        3.9253        3.9316        3.9673        3.9796        3.9936        4.0095        4.0275       4.0479 
    coh1256:k=19.3878,b=30.6122       3.9054        3.9091       3.9133       3.9181        3.9237        3.9301        3.9662        3.9787        3.9929         4.009        4.0272       4.0479 
    coh1257:k=18.3673,b=31.6327       3.9035        3.9073       3.9115       3.9164        3.9221        3.9285        3.9652        3.9778        3.9921        4.0085        4.0269       4.0478 
    coh1258:k=17.3469,b=32.6531       3.9016        3.9054       3.9098       3.9147        3.9204         3.927        3.9641        3.9769        3.9914        4.0079        4.0266       4.0478 
    coh1259:k=16.3265,b=33.6735       3.8997        3.9036        3.908        3.913        3.9188        3.9254         3.963        3.9759        3.9906        4.0073        4.0263       4.0476 
    coh1260:k=15.3061,b=34.6939       3.8978        3.9017       3.9062       3.9113        3.9171        3.9239        3.9619         3.975        3.9898        4.0067        4.0259       4.0475 
    coh1261:k=14.2857,b=35.7143       3.8959        3.8999       3.9044       3.9095        3.9155        3.9223        3.9607         3.974         3.989        4.0061        4.0254       4.0473 
    coh1262:k=13.2653,b=36.7347        3.894         3.898       3.9025       3.9078        3.9138        3.9207        3.9596         3.973        3.9882        4.0054         4.025       4.0471 
    coh1263:k=12.2449,b=37.7551       3.8921        3.8961       3.9007        3.906        3.9121         3.919        3.9584        3.9719        3.9873        4.0048        4.0245       4.0468 
    coh1264:k=11.2245,b=38.7755       3.8902        3.8942       3.8989       3.9042        3.9104        3.9174        3.9572        3.9709        3.9864        4.0041         4.024       4.0466 
    coh1265:k=10.2041,b=39.7959       3.8882        3.8923        3.897       3.9025        3.9087        3.9158         3.956        3.9698        3.9855        4.0033        4.0235       4.0463 
    coh1266:k=9.18367,b=40.8163       3.8863        3.8904       3.8952       3.9007        3.9069        3.9141        3.9548        3.9687        3.9846        4.0026         4.023       4.0459 
    coh1267:k=8.16327,b=41.8367       3.8843        3.8885       3.8933       3.8989        3.9052        3.9125        3.9535        3.9676        3.9837        4.0018        4.0224       4.0456 
    coh1268:k=7.14286,b=42.8571       3.8823        3.8866       3.8915        3.897        3.9035        3.9108        3.9523        3.9665        3.9827        4.0011        4.0218       4.0452 
    coh1269:k=6.12245,b=43.8776       3.8804        3.8847       3.8896       3.8952        3.9017        3.9091         3.951        3.9654        3.9817        4.0003        4.0212       4.0448 
    coh1270:k=5.10204,b=44.898        3.8784        3.8827       3.8877       3.8934        3.8999        3.9074        3.9498        3.9643        3.9808        3.9994        4.0206       4.0444 
    coh1271:k=4.08163,b=45.9184       3.8764        3.8808       3.8858       3.8916        3.8982        3.9057        3.9485        3.9631        3.9798        3.9986        4.0199        4.044 
    coh1272:k=3.06122,b=46.9388       3.8744        3.8788       3.8839       3.8897        3.8964         3.904        3.9472        3.9619        3.9787        3.9978        4.0193       4.0435 
    coh1273:k=2.04082,b=47.9592       3.8724        3.8769        3.882       3.8879        3.8946        3.9023        3.9458        3.9608        3.9777        3.9969        4.0186        4.043 
    coh1274:k=1.02041,b=48.9796       3.8704        3.8749       3.8801        3.886        3.8928        3.9006        3.9445        3.9596        3.9767         3.996        4.0179       4.0425 
    coh1275:k=0,b=50                  3.8684        3.8729       3.8781       3.8841         3.891        3.8988        3.9432        3.9584        3.9756        3.9951        4.0172        4.042 

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

    coh1:k=0,b=0                    0.12565       0.12724         0.129      0.13093      0.13304       0.13529       0.14469       0.14652       0.14768       0.14774       0.14611       0.14197 
    coh2:k=1.02041,b=0              0.42187       0.42721       0.43312      0.43962      0.44668       0.45424        0.4858       0.49196       0.49584       0.49604       0.49057       0.47666 
    coh3:k=0,b=1.02041              0.49063       0.51226       0.53738      0.56654      0.60037       0.63955       0.86368       0.93884        1.0209        1.1075        1.1935        1.2698 
    coh4:k=2.04082,b=0              0.71809       0.72718       0.73725       0.7483      0.76032       0.77318        0.8269       0.83739       0.84401       0.84435       0.83503       0.81136 
    coh5:k=1.02041,b=1.02041        0.78685       0.81223        0.8415      0.87522      0.91401        0.9585        1.2048        1.2843        1.3691        1.4558         1.538        1.6045 
    coh6:k=0,b=2.04082               0.7846       0.81431       0.84872      0.88854      0.93455       0.98761        1.2869        1.3856        1.4923        1.6035        1.7119        1.8047 
    coh7:k=3.06122,b=0               1.0143        1.0272        1.0414        1.057        1.074        1.0921         1.168        1.1828        1.1922        1.1926        1.1795         1.146 
    coh8:k=2.04082,b=1.02041         1.0831        1.1122        1.1456       1.1839       1.2276        1.2774        1.5459        1.6297        1.7172        1.8041        1.8824        1.9392 
    coh9:k=1.02041,b=2.04082         1.0808        1.1143        1.1528       1.1972       1.2482        1.3066         1.628         1.731        1.8405        1.9518        2.0564        2.1394 
    coh10:k=0,b=3.06122              1.0705        1.1069         1.149       1.1976       1.2535        1.3179        1.6763        1.7929        1.9179        2.0466          2.17        2.2721 
    coh11:k=4.08163,b=0              1.3105        1.3271        1.3455       1.3657       1.3876        1.4111        1.5091        1.5283        1.5403         1.541        1.5239        1.4807 
    coh12:k=3.06122,b=1.02041        1.3793        1.4122        1.4497       1.4926       1.5413        1.5964         1.887        1.9751        2.0654        2.1524        2.2269        2.2739 
    coh13:k=2.04082,b=2.04082         1.377        1.4143         1.457       1.5059       1.5618        1.6255        1.9691        2.0764        2.1887        2.3001        2.4008        2.4741 
    coh14:k=1.02041,b=3.06122        1.3667        1.4069        1.4531       1.5063       1.5672        1.6368        2.0174        2.1383        2.2661        2.3949        2.5144        2.6067 
    coh15:k=0,b=4.08163              1.3524        1.3949        1.4439       1.5003       1.5652        1.6395        2.0494        2.1811        2.3213        2.4641        2.5988        2.7066 
    coh16:k=5.10204,b=0              1.6068        1.6271        1.6496       1.6744       1.7012          1.73        1.8502        1.8737        1.8885        1.8893        1.8684        1.8154 
    coh17:k=4.08163,b=1.02041        1.6755        1.7121        1.7539       1.8013       1.8549        1.9153        2.2281        2.3206        2.4136        2.5007        2.5713        2.6086 
    coh18:k=3.06122,b=2.04082        1.6733        1.7142        1.7611       1.8146       1.8755        1.9445        2.3102        2.4219        2.5368        2.6484        2.7453        2.8088 
    coh19:k=2.04082,b=3.06122        1.6629        1.7068        1.7572       1.8149       1.8808        1.9557        2.3585        2.4838        2.6142        2.7432        2.8589        2.9414 
    coh20:k=1.02041,b=4.08163        1.6486        1.6949         1.748        1.809       1.8788        1.9584        2.3905        2.5265        2.6695        2.8124        2.9432        3.0412 
    coh21:k=0,b=5.10204              1.6319        1.6801        1.7355       1.7992       1.8723        1.9558        2.4124        2.5576         2.711        2.8659        3.0097         3.121 
    coh22:k=6.12245,b=0               1.903        1.9271        1.9537        1.983       2.0149         2.049        2.1913        2.2191        2.2367        2.2376        2.2129        2.1501 
    coh23:k=5.10204,b=1.02041        1.9717        2.0121         2.058         2.11       2.1686        2.2343        2.5692         2.666        2.7617         2.849        2.9158        2.9433 
    coh24:k=4.08163,b=2.04082        1.9695        2.0142        2.0652       2.1233       2.1891        2.2634        2.6513        2.7673         2.885        2.9967        3.0897        3.1435 
    coh25:k=3.06122,b=3.06122        1.9591        2.0068        2.0614       2.1236       2.1945        2.2747        2.6996        2.8292        2.9624        3.0915        3.2034        3.2761 
    coh26:k=2.04082,b=4.08163        1.9448        1.9949        2.0522       2.1177       2.1924        2.2774        2.7316         2.872        3.0176        3.1607        3.2877        3.3759 
    coh27:k=1.02041,b=5.10204        1.9282        1.9801        2.0397       2.1079       2.1859        2.2747        2.7535         2.903        3.0592        3.2142        3.3541        3.4557 
    coh28:k=0,b=6.12245              1.9098        1.9634        2.0249       2.0955       2.1763        2.2684        2.7686         2.926        3.0914        3.2569        3.4082        3.5216 
    coh29:k=7.14286,b=0              2.1992         2.227        2.2579       2.2917       2.3285        2.3679        2.5324        2.5646        2.5848        2.5859        2.5573        2.4848 
    coh30:k=6.12245,b=1.02041         2.268        2.3121        2.3621       2.4186       2.4822        2.5532        2.9103        3.0114        3.1099        3.1973        3.2603         3.278 
    coh31:k=5.10204,b=2.04082        2.2657        2.3142        2.3693        2.432       2.5027        2.5823        2.9924        3.1127        3.2331         3.345        3.4342        3.4782 
    coh32:k=4.08163,b=3.06122        2.2553        2.3068        2.3655       2.4323       2.5081        2.5936        3.0407        3.1746        3.3106        3.4398        3.5478        3.6108 
    coh33:k=3.06122,b=4.08163        2.2411        2.2948        2.3563       2.4264       2.5061        2.5963        3.0727        3.2174        3.3658         3.509        3.6322        3.7106 
    coh34:k=2.04082,b=5.10204        2.2244          2.28        2.3438       2.4166       2.4996        2.5937        3.0946        3.2485        3.4074        3.5625        3.6986        3.7904 
    coh35:k=1.02041,b=6.12245         2.206        2.2633         2.329       2.4042       2.4899        2.5874        3.1097        3.2715        3.4396        3.6052        3.7527        3.8563 
    coh36:k=0,b=7.14286              2.1865        2.2452        2.3126       2.3898        2.478        2.5784        3.1196        3.2885        3.4649        3.6399        3.7977         3.912 
    coh37:k=8.16327,b=0              2.4954         2.527         2.562       2.6004       2.6422        2.6869        2.8735          2.91         2.933        2.9342        2.9018        2.8195 
    coh38:k=7.14286,b=1.02041        2.5642        2.6121        2.6662       2.7273       2.7958        2.8722        3.2514        3.3569         3.458        3.5456        3.6047        3.6127 
    coh39:k=6.12245,b=2.04082        2.5619        2.6141        2.6735       2.7406       2.8164        2.9013        3.3335        3.4582        3.5813        3.6933        3.7787        3.8129 
    coh40:k=5.10204,b=3.06122        2.5516        2.6068        2.6696        2.741       2.8217        2.9126        3.3818        3.5201        3.6587        3.7881        3.8923        3.9455 
    coh41:k=4.08163,b=4.08163        2.5373        2.5948        2.6604       2.7351       2.8197        2.9152        3.4138        3.5628        3.7139        3.8573        3.9766        4.0453 
    coh42:k=3.06122,b=5.10204        2.5206          2.58        2.6479       2.7253       2.8132        2.9126        3.4357        3.5939        3.7555        3.9108         4.043         4.125 
    coh43:k=2.04082,b=6.12245        2.5023        2.5633        2.6332       2.7129       2.8036        2.9063        3.4508        3.6169        3.7878        3.9535        4.0971         4.191 
    coh44:k=1.02041,b=7.14286        2.4827        2.5452        2.6167       2.6985       2.7916        2.8974        3.4607         3.634        3.8131        3.9882        4.1422        4.2467 
    coh45:k=0,b=8.16327              2.4622        2.5259         2.599       2.6826        2.778        2.8863        3.4667        3.6464        3.8331        4.0167        4.1801        4.2945 
    coh46:k=9.18367,b=0              2.7916         2.827        2.8661       2.9091       2.9558        3.0058        3.2147        3.2554        3.2812        3.2825        3.2462        3.1542 
    coh47:k=8.16327,b=1.02041        2.8604         2.912        2.9704        3.036       3.1095        3.1911        3.5925        3.7023        3.8062        3.8939        3.9492        3.9474 
    coh48:k=7.14286,b=2.04082        2.8581        2.9141        2.9776       3.0493         3.13        3.2202        3.6746        3.8036        3.9295        4.0416        4.1231        4.1476 
    coh49:k=6.12245,b=3.06122        2.8478        2.9067        2.9737       3.0497       3.1354        3.2315        3.7229        3.8655        4.0069        4.1364        4.2367        4.2802 
    coh50:k=5.10204,b=4.08163        2.8335        2.8948        2.9645       3.0438       3.1334        3.2342        3.7549        3.9083        4.0621        4.2056        4.3211          4.38 
    coh1226:k=50,b=0                  14.64        14.826        15.031       15.256       15.501        15.764        16.859        17.073        17.208        17.215        17.025        16.542 
    coh1227:k=48.9796,b=1.02041      14.709        14.911        15.135       15.383       15.655        15.949        17.237         17.52        17.733        17.826        17.728        17.335 
    coh1228:k=47.9592,b=2.04082      14.707        14.913        15.143       15.397       15.676        15.978        17.319        17.621        17.856        17.974        17.901        17.535 
    coh1229:k=46.9388,b=3.06122      14.697        14.906        15.139       15.397       15.681        15.989        17.367        17.683        17.933        18.069        18.015        17.668 
    coh1230:k=45.9184,b=4.08163      14.682        14.894        15.129       15.391       15.679        15.992        17.399        17.726        17.989        18.138        18.099        17.768 
    coh1231:k=44.898,b=5.10204       14.666        14.879        15.117       15.381       15.672        15.989        17.421        17.757         18.03        18.191        18.166        17.847 
    coh1232:k=43.8776,b=6.12245      14.647        14.862        15.102       15.369       15.663        15.983        17.436         17.78        18.062        18.234         18.22        17.913 
    coh1233:k=42.8571,b=7.14286      14.628        14.844        15.086       15.355       15.651        15.974        17.446        17.797        18.088        18.269        18.265        17.969 
    coh1234:k=41.8367,b=8.16327      14.607        14.825        15.068       15.339       15.637        15.963        17.452        17.809        18.108        18.297        18.303        18.017 
    coh1235:k=40.8163,b=9.18367      14.586        14.805        15.049       15.322       15.622         15.95        17.455        17.818        18.123        18.321        18.335        18.058 
    coh1236:k=39.7959,b=10.2041      14.564        14.784         15.03       15.303       15.606        15.936        17.455        17.824        18.136         18.34        18.363        18.095 
    coh1237:k=38.7755,b=11.2245      14.542        14.762        15.009       15.285       15.588        15.921        17.453        17.827        18.145        18.356        18.387        18.127 
    coh1238:k=37.7551,b=12.2449      14.519         14.74        14.988       15.265        15.57        15.905         17.45        17.828        18.151        18.369        18.407        18.155 
    coh1239:k=36.7347,b=13.2653      14.496        14.718        14.967       15.245       15.552        15.888        17.444        17.827        18.156         18.38        18.425         18.18 
    coh1240:k=35.7143,b=14.2857      14.472        14.695        14.945       15.224       15.532         15.87        17.437        17.824        18.158        18.388         18.44        18.202 
    coh1241:k=34.6939,b=15.3061      14.448        14.672        14.923       15.202       15.512        15.852        17.429         17.82        18.159        18.395        18.452        18.221 
    coh1242:k=33.6735,b=16.3265      14.424        14.648          14.9       15.181       15.491        15.832         17.42        17.815        18.158        18.399        18.463        18.238 
    coh1243:k=32.6531,b=17.3469      14.399        14.624        14.877       15.159        15.47        15.813         17.41        17.809        18.156        18.402        18.472        18.254 
    coh1244:k=31.6327,b=18.3673      14.375          14.6        14.854       15.136       15.449        15.793        17.399        17.801        18.153        18.404        18.479        18.267 
    coh1245:k=30.6122,b=19.3878       14.35        14.576         14.83       15.113       15.427        15.772        17.387        17.792        18.149        18.404        18.485        18.279 
    coh1246:k=29.5918,b=20.4082      14.325        14.552        14.806        15.09       15.405        15.751        17.374        17.783        18.143        18.404        18.489        18.289 
    coh1247:k=28.5714,b=21.4286        14.3        14.527        14.782       15.067       15.383         15.73         17.36        17.773        18.137        18.402        18.493        18.298 
    coh1248:k=27.551,b=22.449        14.274        14.502        14.758       15.043        15.36        15.708        17.346        17.762        18.129        18.399        18.495        18.305 
    coh1249:k=26.5306,b=23.4694      14.249        14.477        14.733       15.019       15.337        15.686        17.332         17.75        18.121        18.395        18.495        18.312 
    coh1250:k=25.5102,b=24.4898      14.223        14.452        14.708       14.995       15.314        15.664        17.316        17.738        18.112         18.39        18.495        18.317 
    coh1251:k=24.4898,b=25.5102      14.198        14.426        14.684       14.971        15.29        15.641        17.301        17.725        18.103        18.384        18.494        18.321 
    coh1252:k=23.4694,b=26.5306      14.172        14.401        14.659       14.947       15.266        15.619        17.284        17.711        18.092        18.378        18.493        18.324 
    coh1253:k=22.449,b=27.551        14.146        14.375        14.633       14.922       15.243        15.596        17.268        17.697        18.081        18.371         18.49        18.327 
    coh1254:k=21.4286,b=28.5714       14.12         14.35        14.608       14.897       15.218        15.572        17.251        17.683         18.07        18.363        18.487        18.328 
    coh1255:k=20.4082,b=29.5918      14.094        14.324        14.583       14.872       15.194        15.549        17.233        17.667        18.058        18.355        18.482        18.329 
    coh1256:k=19.3878,b=30.6122      14.067        14.298        14.557       14.847        15.17        15.525        17.215        17.652        18.045        18.346        18.478        18.329 
    coh1257:k=18.3673,b=31.6327      14.041        14.272        14.531       14.822       15.145        15.501        17.197        17.636        18.032        18.336        18.472        18.328 
    coh1258:k=17.3469,b=32.6531      14.015        14.246        14.506       14.797        15.12        15.477        17.178         17.62        18.019        18.326        18.466        18.326 
    coh1259:k=16.3265,b=33.6735      13.988        14.219         14.48       14.771       15.095        15.453        17.159        17.603        18.005        18.316        18.459        18.324 
    coh1260:k=15.3061,b=34.6939      13.961        14.193        14.454       14.746        15.07        15.429         17.14        17.586        17.991        18.304        18.452        18.321 
    coh1261:k=14.2857,b=35.7143      13.935        14.167        14.428        14.72       15.045        15.404        17.121        17.569        17.976        18.293        18.444        18.318 
    coh1262:k=13.2653,b=36.7347      13.908         14.14        14.401       14.694        15.02        15.379        17.101        17.551        17.961        18.281        18.436        18.314 
    coh1263:k=12.2449,b=37.7551      13.881        14.114        14.375       14.668       14.994        15.355        17.081        17.533        17.945        18.269        18.428        18.309 
    coh1264:k=11.2245,b=38.7755      13.855        14.087        14.349       14.642       14.969         15.33         17.06        17.515         17.93        18.256        18.418        18.304 
    coh1265:k=10.2041,b=39.7959      13.828         14.06        14.322       14.616       14.943        15.305         17.04        17.496        17.913        18.243        18.409        18.299 
    coh1266:k=9.18367,b=40.8163      13.801        14.034        14.296        14.59       14.917        15.279        17.019        17.477        17.897        18.229        18.399        18.293 
    coh1267:k=8.16327,b=41.8367      13.774        14.007        14.269       14.564       14.892        15.254        16.998        17.458         17.88        18.215        18.388        18.286 
    coh1268:k=7.14286,b=42.8571      13.747         13.98        14.243       14.537       14.866        15.229        16.977        17.439        17.863        18.201        18.378         18.28 
    coh1269:k=6.12245,b=43.8776      13.719        13.953        14.216       14.511        14.84        15.203        16.955        17.419        17.846        18.187        18.366        18.272 
    coh1270:k=5.10204,b=44.898       13.692        13.926        14.189       14.484       14.813        15.177        16.934        17.399        17.828        18.172        18.355        18.265 
    coh1271:k=4.08163,b=45.9184      13.665        13.899        14.162       14.458       14.787        15.152        16.912        17.379         17.81        18.157        18.343        18.257 
    coh1272:k=3.06122,b=46.9388      13.638        13.872        14.135       14.431       14.761        15.126         16.89        17.359        17.792        18.141        18.331        18.248 
    coh1273:k=2.04082,b=47.9592      13.611        13.845        14.108       14.404       14.734          15.1        16.868        17.338        17.774        18.125        18.318         18.24 
    coh1274:k=1.02041,b=48.9796      13.583        13.817        14.081       14.377       14.708        15.074        16.845        17.318        17.755        18.109        18.305         18.23 
    coh1275:k=0,b=50                 13.556         13.79        14.054       14.351       14.681        15.048        16.823        17.297        17.736        18.093        18.292        18.221 

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

    coh1:k=0,b=0                    0.055433      0.058021     0.061079     0.064705      0.069017      0.074164      0.10761       0.12088       0.13716       0.15721       0.18205       0.21295 
    coh2:k=1.02041,b=0               0.18612       0.19481      0.20508      0.21725       0.23173       0.24901      0.36129       0.40587       0.46052       0.52785       0.61123       0.71499 
    coh3:k=0,b=1.02041               0.21646       0.23359      0.25444      0.27997       0.31146        0.3506      0.64233       0.77456       0.94818        1.1785        1.4871        1.9047 
    coh4:k=2.04082,b=0               0.31681       0.33159      0.34907      0.36979       0.39444       0.42385      0.61497       0.69086       0.78389       0.89849        1.0404         1.217 
    coh5:k=1.02041,b=1.02041         0.34714       0.37038      0.39843      0.43251       0.47417       0.52544      0.89601        1.0595        1.2715        1.5491        1.9162        2.4068 
    coh6:k=0,b=2.04082               0.34615       0.37133      0.40185      0.43909       0.48483        0.5414      0.95704        1.1431         1.386        1.7063         2.133        2.7071 
    coh7:k=3.06122,b=0               0.44749       0.46838      0.49307      0.52234       0.55715        0.5987      0.86866       0.97585        1.1072        1.2691        1.4696        1.7191 
    coh8:k=2.04082,b=1.02041         0.47783       0.50716      0.54243      0.58506       0.63688       0.70029       1.1497        1.3445        1.5949        1.9197        2.3454        2.9088 
    coh9:k=1.02041,b=2.04082         0.47683       0.50811      0.54585      0.59164       0.64754       0.71624       1.2107        1.4281        1.7094        2.0769        2.5621        3.2092 
    coh10:k=0,b=3.06122              0.47227       0.50475      0.54403      0.59181       0.65031       0.72244       1.2467        1.4792        1.7813        2.1779        2.7037        3.4081 
    coh11:k=4.08163,b=0              0.57818       0.60517      0.63707      0.67488       0.71986       0.77354       1.1223        1.2608        1.4306        1.6398        1.8988        2.2211 
    coh12:k=3.06122,b=1.02041        0.60851       0.64395      0.68643       0.7376       0.79959       0.87513       1.4034        1.6295        1.9183        2.2904        2.7746        3.4109 
    coh13:k=2.04082,b=2.04082        0.60752        0.6449      0.68985      0.74418       0.81025       0.89109       1.4644        1.7131        2.0327        2.4476        2.9913        3.7112 
    coh14:k=1.02041,b=3.06122        0.60295       0.64154      0.68803      0.74436       0.81302       0.89728       1.5003        1.7642        2.1047        2.5485        3.1329        3.9101 
    coh15:k=0,b=4.08163              0.59665       0.63608      0.68367      0.74143       0.81198       0.89874       1.5241        1.7994        2.1559        2.6221         3.238        4.0598 
    coh16:k=5.10204,b=0              0.70886       0.74195      0.78106      0.82743       0.88257       0.94839        1.376        1.5458         1.754        2.0104        2.3279        2.7232 
    coh17:k=4.08163,b=1.02041         0.7392       0.78074      0.83042      0.89015        0.9623          1.05       1.6571        1.9145        2.2416         2.661        3.2038        3.9129 
    coh18:k=3.06122,b=2.04082        0.73821       0.78169      0.83384      0.89673       0.97296        1.0659       1.7181        1.9981        2.3561        2.8182        3.4205        4.2132 
    coh19:k=2.04082,b=3.06122        0.73364       0.77832      0.83202       0.8969       0.97573        1.0721        1.754        2.0491         2.428        2.9191        3.5621        4.4122 
    coh20:k=1.02041,b=4.08163        0.72734       0.77287      0.82766      0.89397       0.97469        1.0736       1.7778        2.0844        2.4793        2.9928        3.6671        4.5619 
    coh21:k=0,b=5.10204              0.71997       0.76613      0.82175      0.88914        0.9713        1.0721       1.7941        2.1101        2.5179        3.0497        3.7499        4.6814 
    coh22:k=6.12245,b=0              0.83955       0.87874      0.92506      0.97997        1.0453        1.1232       1.6297        1.8308        2.0773         2.381        2.7571        3.2252 
    coh23:k=5.10204,b=1.02041        0.86989       0.91752      0.97442       1.0427         1.125        1.2248       1.9107        2.1995         2.565        3.0317         3.633        4.4149 
    coh24:k=4.08163,b=2.04082        0.86889       0.91847      0.97784       1.0493        1.1357        1.2408       1.9718        2.2831        2.6795        3.1889        3.8497        4.7153 
    coh25:k=3.06122,b=3.06122        0.86432       0.91511      0.97602       1.0494        1.1384         1.247       2.0077        2.3341        2.7514        3.2898        3.9912        4.9142 
    coh26:k=2.04082,b=4.08163        0.85802       0.90965      0.97166       1.0465        1.1374        1.2484       2.0315        2.3694        2.8027        3.3634        4.0963        5.0639 
    coh27:k=1.02041,b=5.10204        0.85066       0.90291      0.96574       1.0417         1.134         1.247       2.0478         2.395        2.8413        3.4203        4.1791        5.1835 
    coh28:k=0,b=6.12245              0.84257       0.89529      0.95875       1.0355         1.129        1.2435        2.059         2.414        2.8712        3.4657        4.2465        5.2824 
    coh29:k=7.14286,b=0              0.97024        1.0155       1.0691       1.1325         1.208        1.2981       1.8834        2.1158        2.4007        2.7517        3.1863        3.7272 
    coh30:k=6.12245,b=1.02041         1.0006        1.0543       1.1184       1.1952        1.2877        1.3997       2.1644        2.4845        2.8884        3.4023        4.0621         4.917 
    coh31:k=5.10204,b=2.04082        0.99958        1.0553       1.1218       1.2018        1.2984        1.4156       2.2255        2.5681        3.0028        3.5595        4.2789        5.2173 
    coh32:k=4.08163,b=3.06122        0.99501        1.0519         1.12        1.202        1.3012        1.4218       2.2614        2.6191        3.0747        3.6604        4.4204        5.4162 
    coh33:k=3.06122,b=4.08163        0.98871        1.0464       1.1157       1.1991        1.3001        1.4233       2.2852        2.6544         3.126         3.734        4.5255         5.566 
    coh34:k=2.04082,b=5.10204        0.98135        1.0397       1.1097       1.1942        1.2967        1.4218       2.3015          2.68        3.1646        3.7909        4.6083        5.6855 
    coh35:k=1.02041,b=6.12245        0.97325        1.0321       1.1028       1.1881        1.2917        1.4184       2.3127         2.699        3.1946        3.8364        4.6757        5.7844 
    coh36:k=0,b=7.14286              0.96462        1.0238        1.095        1.181        1.2855        1.4135       2.3201        2.7131        3.2181        3.8733        4.7318         5.868 
    coh37:k=8.16327,b=0               1.1009        1.1523       1.2131       1.2851        1.3707        1.4729       2.1371        2.4008        2.7241        3.1223        3.6155        4.2293 
    coh38:k=7.14286,b=1.02041         1.1313        1.1911       1.2624       1.3478        1.4504        1.5745       2.4181        2.7695        3.2117        3.7729        4.4913         5.419 
    coh39:k=6.12245,b=2.04082         1.1303         1.192       1.2658       1.3544        1.4611        1.5905       2.4791         2.853        3.3262        3.9301         4.708        5.7194 
    coh40:k=5.10204,b=3.06122         1.1257        1.1887        1.264       1.3545        1.4639        1.5967       2.5151        2.9041        3.3981        4.0311        4.8496        5.9183 
    coh41:k=4.08163,b=4.08163         1.1194        1.1832       1.2597       1.3516        1.4628        1.5981       2.5388        2.9394        3.4494        4.1047        4.9547         6.068 
    coh42:k=3.06122,b=5.10204          1.112        1.1765       1.2537       1.3468        1.4594        1.5967       2.5552         2.965         3.488        4.1616        5.0375        6.1876 
    coh43:k=2.04082,b=6.12245         1.1039        1.1689       1.2467       1.3406        1.4544        1.5932       2.5664         2.984        3.5179         4.207        5.1049        6.2864 
    coh44:k=1.02041,b=7.14286         1.0953        1.1606        1.239       1.3335        1.4483        1.5883       2.5738        2.9981        3.5415        4.2439        5.1609          6.37 
    coh45:k=0,b=8.16327               1.0863        1.1518       1.2306       1.3257        1.4412        1.5823       2.5782        3.0084          3.56        4.2743        5.2082        6.4417 
    coh46:k=9.18367,b=0               1.2316        1.2891        1.357       1.4376        1.5334        1.6478       2.3908        2.6858        3.0474         3.493        4.0447        4.7313 
    coh47:k=8.16327,b=1.02041         1.2619        1.3279       1.4064       1.5003        1.6131        1.7494       2.6718        3.0545        3.5351        4.1436        4.9205        5.9211 
    coh48:k=7.14286,b=2.04082          1.261        1.3288       1.4098       1.5069        1.6238        1.7653       2.7328         3.138        3.6496        4.3008        5.1372        6.2214 
    coh49:k=6.12245,b=3.06122         1.2564        1.3255        1.408       1.5071        1.6266        1.7715       2.7688        3.1891        3.7215        4.4017        5.2788        6.4203 
    coh50:k=5.10204,b=4.08163         1.2501          1.32       1.4036       1.5041        1.6255         1.773       2.7925        3.2244        3.7727        4.4753        5.3839          6.57 
    coh1226:k=50,b=0                   6.459        6.7606       7.1169       7.5394        8.0418        8.6416       12.538        14.085        15.982        18.319        21.212        24.813 
    coh1227:k=48.9796,b=1.02041       6.4894        6.7993       7.1663       7.6021        8.1216        8.7431       12.819        14.454         16.47        18.969        22.088        26.003 
    coh1228:k=47.9592,b=2.04082       6.4884        6.8003       7.1697       7.6087        8.1322        8.7591        12.88        14.538        16.584        19.126        22.304        26.303 
    coh1229:k=46.9388,b=3.06122       6.4838        6.7969       7.1679       7.6088         8.135        8.7653       12.916        14.589        16.656        19.227        22.446        26.502 
    coh1230:k=45.9184,b=4.08163       6.4775        6.7915       7.1635       7.6059        8.1339        8.7668        12.94        14.624        16.707        19.301        22.551        26.652 
    coh1231:k=44.898,b=5.10204        6.4702        6.7847       7.1576       7.6011        8.1306        8.7653       12.956         14.65        16.746        19.358        22.634        26.771 
    coh1232:k=43.8776,b=6.12245       6.4621        6.7771       7.1506       7.5949        8.1256        8.7619       12.967        14.669        16.776        19.403        22.701         26.87 
    coh1233:k=42.8571,b=7.14286       6.4534        6.7688       7.1428       7.5878        8.1194        8.7569       12.975        14.683        16.799         19.44        22.757        26.954 
    coh1234:k=41.8367,b=8.16327       6.4444        6.7601       7.1344         7.58        8.1123        8.7509       12.979        14.693        16.818         19.47        22.805        27.025 
    coh1235:k=40.8163,b=9.18367        6.435        6.7509       7.1256       7.5715        8.1044        8.7439       12.981          14.7        16.832        19.496        22.845        27.088 
    coh1236:k=39.7959,b=10.2041       6.4253        6.7414       7.1163       7.5626         8.096        8.7362       12.982        14.705        16.844        19.516        22.879        27.142 
    coh1237:k=38.7755,b=11.2245       6.4155        6.7316       7.1067       7.5532         8.087        8.7279        12.98        14.707        16.852        19.533        22.909         27.19 
    coh1238:k=37.7551,b=12.2449       6.4054        6.7216       7.0967       7.5435        8.0776         8.719       12.977        14.708        16.858        19.547        22.934        27.232 
    coh1239:k=36.7347,b=13.2653       6.3951        6.7113       7.0866       7.5335        8.0679        8.7096       12.973        14.708        16.862        19.559        22.956        27.269 
    coh1240:k=35.7143,b=14.2857       6.3847        6.7009       7.0762       7.5232        8.0577        8.6998       12.968        14.705        16.865        19.568        22.975        27.302 
    coh1241:k=34.6939,b=15.3061       6.3741        6.6903       7.0656       7.5127        8.0473        8.6897       12.962        14.702        16.866        19.574        22.991        27.332 
    coh1242:k=33.6735,b=16.3265       6.3635        6.6796       7.0549       7.5019        8.0367        8.6792       12.955        14.698        16.865        19.579        23.004        27.358 
    coh1243:k=32.6531,b=17.3469       6.3527        6.6688       7.0439        7.491        8.0258        8.6685       12.948        14.692        16.863        19.583        23.015        27.381 
    coh1244:k=31.6327,b=18.3673       6.3418        6.6578       7.0329       7.4799        8.0147        8.6574       12.939        14.686         16.86        19.584        23.024        27.401 
    coh1245:k=30.6122,b=19.3878       6.3309        6.6467       7.0217       7.4686        8.0034        8.6462       12.931        14.679        16.856        19.585        23.031        27.418 
    coh1246:k=29.5918,b=20.4082       6.3199        6.6355       7.0104       7.4572        7.9919        8.6347       12.921        14.671        16.851        19.584        23.037        27.434 
    coh1247:k=28.5714,b=21.4286       6.3087        6.6243        6.999       7.4456        7.9802         8.623       12.911        14.663        16.845        19.582        23.041        27.447 
    coh1248:k=27.551,b=22.449         6.2976        6.6129       6.9875        7.434        7.9685        8.6111       12.901        14.654        16.838        19.578        23.043        27.458 
    coh1249:k=26.5306,b=23.4694       6.2863        6.6015       6.9759       7.4222        7.9565        8.5991        12.89        14.644         16.83        19.574        23.045        27.468 
    coh1250:k=25.5102,b=24.4898        6.275          6.59       6.9642       7.4103        7.9445        8.5869       12.878        14.634        16.822        19.569        23.044        27.475 
    coh1251:k=24.4898,b=25.5102       6.2637        6.5785       6.9524       7.3983        7.9323        8.5745       12.867        14.623        16.813        19.563        23.043        27.482 
    coh1252:k=23.4694,b=26.5306       6.2523        6.5668       6.9406       7.3862          7.92         8.562       12.855        14.612        16.804        19.556        23.041        27.487 
    coh1253:k=22.449,b=27.551         6.2408        6.5552       6.9286       7.3741        7.9076        8.5494       12.842          14.6        16.793        19.549        23.038         27.49 
    coh1254:k=21.4286,b=28.5714       6.2293        6.5434       6.9167       7.3618        7.8951        8.5366       12.829        14.588        16.783        19.541        23.033        27.492 
    coh1255:k=20.4082,b=29.5918       6.2178        6.5316       6.9046       7.3495        7.8825        8.5238       12.816        14.576        16.772        19.532        23.028        27.493 
    coh1256:k=19.3878,b=30.6122       6.2062        6.5198       6.8925       7.3371        7.8698        8.5108       12.803        14.563         16.76        19.522        23.022        27.493 
    coh1257:k=18.3673,b=31.6327       6.1946        6.5079       6.8804       7.3247         7.857        8.4977       12.789         14.55        16.748        19.512        23.015        27.492 
    coh1258:k=17.3469,b=32.6531       6.1829         6.496       6.8681       7.3121        7.8441        8.4845       12.776        14.537        16.735        19.501        23.008        27.489 
    coh1259:k=16.3265,b=33.6735       6.1712         6.484       6.8559       7.2996        7.8312        8.4713       12.762        14.523        16.722         19.49            23        27.486 
    coh1260:k=15.3061,b=34.6939       6.1595         6.472       6.8436       7.2869        7.8182        8.4579       12.747        14.509        16.709        19.478        22.991        27.482 
    coh1261:k=14.2857,b=35.7143       6.1477          6.46       6.8312       7.2742        7.8051        8.4444       12.733        14.494        16.695        19.466        22.981        27.477 
    coh1262:k=13.2653,b=36.7347        6.136        6.4479       6.8188       7.2615         7.792        8.4309       12.718         14.48        16.681        19.453        22.971        27.471 
    coh1263:k=12.2449,b=37.7551       6.1241        6.4358       6.8064       7.2486        7.7788        8.4173       12.703        14.465        16.667         19.44         22.96        27.464 
    coh1264:k=11.2245,b=38.7755       6.1123        6.4237       6.7939       7.2358        7.7656        8.4036       12.688         14.45        16.652        19.427        22.949        27.456 
    coh1265:k=10.2041,b=39.7959       6.1004        6.4115       6.7814       7.2229        7.7522        8.3899       12.673        14.435        16.637        19.413        22.937        27.448 
    coh1266:k=9.18367,b=40.8163       6.0885        6.3993       6.7688       7.2099        7.7389         8.376       12.657        14.419        16.622        19.398        22.924        27.439 
    coh1267:k=8.16327,b=41.8367       6.0766        6.3871       6.7562        7.197        7.7255        8.3622       12.642        14.403        16.606        19.383        22.911         27.43 
    coh1268:k=7.14286,b=42.8571       6.0647        6.3748       6.7436       7.1839         7.712        8.3482       12.626        14.387        16.591        19.368        22.898        27.419 
    coh1269:k=6.12245,b=43.8776       6.0527        6.3625       6.7309       7.1709        7.6985        8.3342        12.61        14.371        16.575        19.353        22.884        27.409 
    coh1270:k=5.10204,b=44.898        6.0408        6.3502       6.7182       7.1578        7.6849        8.3201       12.594        14.355        16.558        19.337        22.869        27.397 
    coh1271:k=4.08163,b=45.9184       6.0288        6.3379       6.7055       7.1446        7.6713         8.306       12.577        14.338        16.542        19.321        22.855        27.385 
    coh1272:k=3.06122,b=46.9388       6.0167        6.3255       6.6928       7.1314        7.6576        8.2919       12.561        14.321        16.525        19.304        22.839        27.372 
    coh1273:k=2.04082,b=47.9592       6.0047        6.3131         6.68       7.1182        7.6439        8.2776       12.545        14.304        16.508        19.288        22.824        27.359 
    coh1274:k=1.02041,b=48.9796       5.9926        6.3007       6.6672        7.105        7.6302        8.2634       12.528        14.287         16.49        19.271        22.808        27.346 
    coh1275:k=0,b=50                  5.9806        6.2883       6.6544       7.0917        7.6164         8.249       12.511         14.27        16.473        19.253        22.791        27.331 

tb_pol_w: risky + safe investment choices (first stage choice, choose within risky vs safe)
                                   z1_0_34741    z2_0_40076    z3_0_4623    z4_0_5333    z5_0_61519    z6_0_70966    z10_1_2567    z11_1_4496    z12_1_6723    z13_1_9291    z14_2_2253    z15_2_567
                                   __________    __________    _________    _________    __________    __________    __________    __________    __________    __________    __________    _________

    coh1:k=0,b=0                    0.18108       0.18526       0.19008      0.19564      0.20205       0.20945       0.25229       0.26741       0.28484       0.30495       0.32815       0.35492 
    coh2:k=1.02041,b=0              0.60799       0.62202        0.6382      0.65687       0.6784       0.70324       0.84708       0.89783       0.95637        1.0239        1.1018        1.1917 
    coh3:k=0,b=1.02041              0.70709       0.74585       0.79181      0.84651      0.91183       0.99015         1.506        1.7134        1.9691        2.2859        2.6806        3.1746 
    coh4:k=2.04082,b=0               1.0349        1.0588        1.0863       1.1181       1.1548         1.197        1.4419        1.5283        1.6279        1.7428        1.8754        2.0284 
    coh5:k=1.02041,b=1.02041          1.134        1.1826        1.2399       1.3077       1.3882        1.4839        2.1008        2.3438        2.6406        3.0049        3.4542        4.0113 
    coh6:k=0,b=2.04082               1.1307        1.1856        1.2506       1.3276       1.4194         1.529        2.2439        2.5287        2.8783        3.3098        3.8449        4.5119 
    coh7:k=3.06122,b=0               1.4618        1.4955        1.5344       1.5793       1.6311        1.6908        2.0367        2.1587        2.2994        2.4618        2.6491        2.8651 
    coh8:k=2.04082,b=1.02041         1.5609        1.6194        1.6881        1.769       1.8645        1.9777        2.6956        2.9742        3.3121        3.7238        4.2278         4.848 
    coh9:k=1.02041,b=2.04082         1.5577        1.6224        1.6987       1.7889       1.8957        2.0228        2.8387        3.1591        3.5499        4.0287        4.6185        5.3486 
    coh10:k=0,b=3.06122              1.5427        1.6117         1.693       1.7894       1.9039        2.0403         2.923        3.2721        3.6992        4.2245        4.8737        5.6801 
    coh11:k=4.08163,b=0              1.8887        1.9323        1.9826       2.0406       2.1075        2.1846        2.6315        2.7891        2.9709        3.1807        3.4227        3.7019 
    coh12:k=3.06122,b=1.02041        1.9878        2.0561        2.1362       2.2302       2.3409        2.4715        3.2904        3.6047        3.9837        4.4427        5.0015        5.6848 
    coh13:k=2.04082,b=2.04082        1.9846        2.0592        2.1468       2.2501       2.3721        2.5166        3.4335        3.7895        4.2214        4.7477        5.3921        6.1853 
    coh14:k=1.02041,b=3.06122        1.9696        2.0484        2.1412       2.2506       2.3802        2.5341        3.5177        3.9025        4.3707        4.9434        5.6473        6.5169 
    coh15:k=0,b=4.08163              1.9491         2.031        2.1276       2.2418       2.3771        2.5382        3.5735        3.9805        4.4772        5.0862        5.8367        6.7664 
    coh16:k=5.10204,b=0              2.3156         2.369        2.4307       2.5018       2.5838        2.6784        3.2262        3.4195        3.6425        3.8997        4.1963        4.5386 
    coh17:k=4.08163,b=1.02041        2.4147        2.4929        2.5843       2.6914       2.8172        2.9653        3.8852        4.2351        4.6552        5.1617        5.7751        6.5215 
    coh18:k=3.06122,b=2.04082        2.4115        2.4959        2.5949       2.7113       2.8484        3.0104        4.0283          4.42        4.8929        5.4666        6.1658        7.0221 
    coh19:k=2.04082,b=3.06122        2.3965        2.4852        2.5893       2.7118       2.8566        3.0279        4.1125        4.5329        5.0423        5.6624        6.4209        7.3536 
    coh20:k=1.02041,b=4.08163         2.376        2.4677        2.5757        2.703       2.8535         3.032        4.1683         4.611        5.1487        5.8052        6.6104        7.6031 
    coh21:k=0,b=5.10204              2.3519        2.4462        2.5573       2.6884       2.8436        3.0279        4.2065        4.6676         5.229        5.9156        6.7596        7.8024 
    coh22:k=6.12245,b=0              2.7425        2.8058        2.8788        2.963       3.0601        3.1722         3.821        4.0499         4.314        4.6186          4.97        5.3753 
    coh23:k=5.10204,b=1.02041        2.8416        2.9296        3.0324       3.1527       3.2936        3.4591          4.48        4.8655        5.3267        5.8806        6.5487        7.3582 
    coh24:k=4.08163,b=2.04082        2.8384        2.9327        3.0431       3.1725       3.3248        3.5042        4.6231        5.0504        5.5644        6.1855        6.9394        7.8588 
    coh25:k=3.06122,b=3.06122        2.8235        2.9219        3.0374       3.1731       3.3329        3.5217        4.7073        5.1633        5.7138        6.3813        7.1946        8.1903 
    coh26:k=2.04082,b=4.08163        2.8029        2.9045        3.0238       3.1642       3.3298        3.5258        4.7631        5.2414        5.8203        6.5241         7.384        8.4398 
    coh27:k=1.02041,b=5.10204        2.7788         2.883        3.0054       3.1496       3.3199        3.5217        4.8013        5.2981        5.9005        6.6345        7.5332        8.6392 
    coh28:k=0,b=6.12245              2.7524        2.8587        2.9837        3.131       3.3053         3.512        4.8275        5.3401        5.9627        6.7226        7.6547        8.8039 
    coh29:k=7.14286,b=0              3.1694        3.2426        3.3269       3.4242       3.5365         3.666        4.4158        4.6804        4.9855        5.3375        5.7436        6.2121 
    coh30:k=6.12245,b=1.02041        3.2685        3.3664        3.4805       3.6139       3.7699        3.9529        5.0748        5.4959        5.9982        6.5996        7.3224         8.195 
    coh31:k=5.10204,b=2.04082        3.2653        3.3694        3.4912       3.6338       3.8011         3.998        5.2179        5.6808         6.236        6.9045        7.7131        8.6955 
    coh32:k=4.08163,b=3.06122        3.2504        3.3587        3.4855       3.6343       3.8092        4.0155        5.3021        5.7938        6.3853        7.1002        7.9682        9.0271 
    coh33:k=3.06122,b=4.08163        3.2298        3.3413        3.4719       3.6254       3.8062        4.0196        5.3578        5.8718        6.4918        7.2431        8.1577        9.2766 
    coh34:k=2.04082,b=5.10204        3.2057        3.3197        3.4535       3.6108       3.7963        4.0155        5.3961        5.9285         6.572        7.3534        8.3069        9.4759 
    coh35:k=1.02041,b=6.12245        3.1793        3.2954        3.4318       3.5923       3.7817        4.0058        5.4223        5.9705        6.6342        7.4415        8.4284        9.6407 
    coh36:k=0,b=7.14286              3.1511         3.269        3.4076       3.5708       3.7636        3.9919        5.4397        6.0016         6.683        7.5131        8.5295        9.7799 
    coh37:k=8.16327,b=0              3.5963        3.6793         3.775       3.8855       4.0128        4.1598        5.0106        5.3108         5.657        6.0565        6.5173        7.0488 
    coh38:k=7.14286,b=1.02041        3.6954        3.8031        3.9287       4.0751       4.2463        4.4467        5.6695        6.1264        6.6698        7.3185         8.096        9.0317 
    coh39:k=6.12245,b=2.04082        3.6922        3.8062        3.9393        4.095       4.2775        4.4918        5.8126        6.3112        6.9075        7.6234        8.4867        9.5323 
    coh40:k=5.10204,b=3.06122        3.6773        3.7954        3.9336       4.0955       4.2856        4.5093        5.8969        6.4242        7.0568        7.8192        8.7419        9.8638 
    coh41:k=4.08163,b=4.08163        3.6567         3.778        3.9201       4.0867       4.2825        4.5134        5.9526        6.5022        7.1633         7.962        8.9313        10.113 
    coh42:k=3.06122,b=5.10204        3.6326        3.7565        3.9016       4.0721       4.2726        4.5093        5.9909        6.5589        7.2435        8.0724        9.0805        10.313 
    coh43:k=2.04082,b=6.12245        3.6062        3.7322        3.8799       4.0535        4.258        4.4996        6.0171        6.6009        7.3057        8.1605         9.202        10.477 
    coh44:k=1.02041,b=7.14286         3.578        3.7058        3.8557        4.032       4.2399        4.4857        6.0345        6.6321        7.3545        8.2321        9.3031        10.617 
    coh45:k=0,b=8.16327              3.5484        3.6778        3.8296       4.0083       4.2191        4.4686         6.045        6.6548        7.3931         8.291        9.3883        10.736 
    coh46:k=9.18367,b=0              4.0232        4.1161        4.2232       4.3467       4.4892        4.6536        5.6054        5.9412        6.3286        6.7754        7.2909        7.8855 
    coh47:k=8.16327,b=1.02041        4.1223        4.2399        4.3768       4.5363       4.7226        4.9405        6.2643        6.7568        7.3413        8.0375        8.8697        9.8684 
    coh48:k=7.14286,b=2.04082        4.1191        4.2429        4.3874       4.5562       4.7538        4.9856        6.4074        6.9417         7.579        8.3424        9.2603        10.369 
    coh49:k=6.12245,b=3.06122        4.1042        4.2322        4.3818       4.5568       4.7619         5.003        6.4917        7.0546        7.7284        8.5381        9.5155        10.701 
    coh50:k=5.10204,b=4.08163        4.0836        4.2148        4.3682       4.5479       4.7589        5.0072        6.5474        7.1327        7.8348        8.6809        9.7049         10.95 
    coh1226:k=50,b=0                   21.1        21.586        22.148       22.796       23.543        24.405        29.397        31.158         33.19        35.533        38.236        41.355 
    coh1227:k=48.9796,b=1.02041      21.199         21.71        22.302       22.985       23.777        24.692        30.056        31.974        34.202        36.795        39.815        43.338 
    coh1228:k=47.9592,b=2.04082      21.195        21.713        22.312       23.005       23.808        24.737        30.199        32.159         34.44          37.1        40.206        43.838 
    coh1229:k=46.9388,b=3.06122       21.18        21.702        22.307       23.006       23.816        24.755        30.283        32.272        34.589        37.296        40.461         44.17 
    coh1230:k=45.9184,b=4.08163       21.16        21.685        22.293       22.997       23.813        24.759        30.339         32.35        34.696        37.439         40.65        44.419 
    coh1231:k=44.898,b=5.10204       21.136        21.664        22.275       22.982       23.803        24.755        30.377        32.406        34.776        37.549          40.8        44.619 
    coh1232:k=43.8776,b=6.12245      21.109        21.639        22.253       22.964       23.788        24.745        30.404        32.448        34.838        37.637        40.921        44.784 
    coh1233:k=42.8571,b=7.14286      21.081        21.613        22.229       22.942        23.77        24.731        30.421        32.479        34.887        37.709        41.022        44.923 
    coh1234:k=41.8367,b=8.16327      21.052        21.585        22.203       22.919       23.749        24.714        30.431        32.502        34.926        37.768        41.108        45.042 
    coh1235:k=40.8163,b=9.18367      21.021        21.555        22.175       22.893       23.726        24.694        30.436        32.518        34.956        37.816         41.18        45.146 
    coh1236:k=39.7959,b=10.2041      20.989        21.525        22.146       22.866       23.702        24.673        30.437        32.529        34.979        37.856        41.242        45.237 
    coh1237:k=38.7755,b=11.2245      20.957        21.494        22.116       22.838       23.676        24.649        30.433        32.534        34.997         37.89        41.296        45.316 
    coh1238:k=37.7551,b=12.2449      20.924        21.462        22.085       22.808       23.648        24.624        30.427        32.536         35.01        37.917        41.341        45.387 
    coh1239:k=36.7347,b=13.2653      20.891        21.429        22.054       22.778       23.619        24.597        30.417        32.535        35.018        37.939        41.381        45.449 
    coh1240:k=35.7143,b=14.2857      20.857        21.396        22.021       22.747        23.59         24.57        30.405         32.53        35.023        37.956        41.414        45.504 
    coh1241:k=34.6939,b=15.3061      20.822        21.362        21.988       22.715       23.559        24.541        30.391        32.523        35.025        37.969        41.443        45.553 
    coh1242:k=33.6735,b=16.3265      20.787        21.328        21.955       22.683       23.528        24.512        30.375        32.513        35.023        37.979        41.467        45.596 
    coh1243:k=32.6531,b=17.3469      20.752        21.293        21.921        22.65       23.496        24.481        30.357        32.501        35.019        37.985        41.487        45.634 
    coh1244:k=31.6327,b=18.3673      20.717        21.258        21.886       22.616       23.464         24.45        30.338        32.487        35.013        37.988        41.503        45.668 
    coh1245:k=30.6122,b=19.3878      20.681        21.223        21.852       22.582       23.431        24.418        30.317        32.472        35.004        37.989        41.516        45.697 
    coh1246:k=29.5918,b=20.4082      20.645        21.187        21.816       22.547       23.397        24.386        30.295        32.454        34.994        37.987        41.526        45.723 
    coh1247:k=28.5714,b=21.4286      20.609        21.151        21.781       22.512       23.363        24.353        30.272        32.436        34.981        37.983        41.533        45.745 
    coh1248:k=27.551,b=22.449        20.572        21.115        21.745       22.477       23.328        24.319        30.247        32.415        34.967        37.977        41.538        45.764 
    coh1249:k=26.5306,b=23.4694      20.535        21.079        21.709       22.442       23.293        24.285        30.221        32.394        34.951        37.969         41.54        45.779 
    coh1250:k=25.5102,b=24.4898      20.498        21.042        21.673       22.406       23.258        24.251        30.195        32.372        34.934        37.959         41.54        45.792 
    coh1251:k=24.4898,b=25.5102      20.461        21.005        21.636       22.369       23.222        24.216        30.167        32.348        34.916        37.947        41.538        45.803 
    coh1252:k=23.4694,b=26.5306      20.424        20.968        21.599       22.333       23.186        24.181        30.139        32.323        34.896        37.934        41.534        45.811 
    coh1253:k=22.449,b=27.551        20.387        20.931        21.562       22.296        23.15        24.145         30.11        32.297        34.875         37.92        41.528        45.817 
    coh1254:k=21.4286,b=28.5714      20.349        20.893        21.525       22.259       23.114        24.109         30.08        32.271        34.853        37.904         41.52         45.82 
    coh1255:k=20.4082,b=29.5918      20.311        20.855        21.487       22.222       23.077        24.073        30.049        32.243         34.83        37.886        41.511        45.822 
    coh1256:k=19.3878,b=30.6122      20.274        20.818         21.45       22.184       23.039        24.036        30.018        32.215        34.805        37.868          41.5        45.821 
    coh1257:k=18.3673,b=31.6327      20.236         20.78        21.412       22.147       23.002        23.999        29.986        32.186         34.78        37.848        41.488        45.819 
    coh1258:k=17.3469,b=32.6531      20.197        20.742        21.374       22.109       22.964        23.962        29.954        32.156        34.754        37.827        41.474        45.815 
    coh1259:k=16.3265,b=33.6735      20.159        20.703        21.336       22.071       22.927        23.924        29.921        32.126        34.727        37.806        41.459         45.81 
    coh1260:k=15.3061,b=34.6939      20.121        20.665        21.297       22.032       22.889        23.887        29.887        32.095          34.7        37.783        41.443        45.803 
    coh1261:k=14.2857,b=35.7143      20.083        20.627        21.259       21.994        22.85        23.849        29.853        32.063        34.671        37.759        41.425        45.794 
    coh1262:k=13.2653,b=36.7347      20.044        20.588         21.22       21.956       22.812         23.81        29.819        32.031        34.642        37.734        41.407        45.785 
    coh1263:k=12.2449,b=37.7551      20.005        20.549        21.182       21.917       22.773        23.772        29.784        31.998        34.612        37.709        41.387        45.773 
    coh1264:k=11.2245,b=38.7755      19.967        20.511        21.143       21.878       22.734        23.733        29.748        31.965        34.582        37.682        41.367        45.761 
    coh1265:k=10.2041,b=39.7959      19.928        20.472        21.104       21.839       22.695        23.694        29.712        31.931        34.551        37.655        41.345        45.747 
    coh1266:k=9.18367,b=40.8163      19.889        20.433        21.065         21.8       22.656        23.655        29.676        31.896        34.519        37.627        41.323        45.732 
    coh1267:k=8.16327,b=41.8367       19.85        20.394        21.025       21.761       22.617        23.616         29.64        31.861        34.487        37.599        41.299        45.716 
    coh1268:k=7.14286,b=42.8571      19.811        20.355        20.986       21.721       22.578        23.577        29.602        31.826        34.454        37.569        41.275        45.699 
    coh1269:k=6.12245,b=43.8776      19.772        20.315        20.947       21.682       22.538        23.537        29.565         31.79         34.42        37.539         41.25        45.681 
    coh1270:k=5.10204,b=44.898       19.733        20.276        20.907       21.642       22.498        23.498        29.527        31.754        34.386        37.509        41.224        45.662 
    coh1271:k=4.08163,b=45.9184      19.694        20.237        20.868       21.602       22.458        23.458        29.489        31.717        34.352        37.477        41.198        45.642 
    coh1272:k=3.06122,b=46.9388      19.655        20.197        20.828       21.562       22.418        23.418        29.451         31.68        34.317        37.446         41.17        45.621 
    coh1273:k=2.04082,b=47.9592      19.615        20.158        20.788       21.523       22.378        23.377        29.412        31.643        34.281        37.413        41.142        45.599 
    coh1274:k=1.02041,b=48.9796      19.576        20.118        20.748       21.482       22.338        23.337        29.373        31.605        34.246         37.38        41.113        45.576 
    coh1275:k=0,b=50                 19.536        20.078        20.709       21.442       22.298        23.297        29.334        31.567        34.209        37.346        41.084        45.552 

end
ans = 

  Map with properties:

        Count: 8
      KeyType: char
    ValueType: any