Risky + Safe Asset Dyna Prog Two-Step Solution (Loop)
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Contents
- FF_WKZ_VF solve infinite horizon exo shock + endo asset problem
- Default
- Parse Parameters 1
- Parse Parameters 2
- Initialize Output Matrixes
- Initialize Convergence Conditions
- Iterate Value Function
- Solve Second Stage Problem k*(w,z)
- Solve First Stage Problem w*(z) given k*(w,z)
- Check Tolerance and Continuation
- Process Optimal Choices
function result_map = ff_wkz_vf(varargin)
FF_WKZ_VF solve infinite horizon exo shock + endo asset problem
This program solves the infinite horizon dynamic savings and risky capital asset problem with some ar1 shock. This is the two step solution version of ff_akz_vf. See ff_wkz_evf for details about the second stage.
@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.
@return result_map container contains policy function matrix, value function matrix, iteration results, and policy function, value function and iteration results tables.
keys included in result_map:
- mt_val matrix states_n by shock_n matrix of converged value function grid
- mt_pol_a matrix states_n by shock_n matrix of converged policy function grid
- ar_val_diff_norm array if bl_post = true it_iter_last by 1 val function difference between iteration
- ar_pol_diff_norm array if bl_post = true it_iter_last by 1 policy function difference between iterations
- mt_pol_perc_change matrix if bl_post = true it_iter_last by shock_n the proportion of grid points at which policy function changed between current and last iteration for each element of shock
@example
@include
@seealso
- concurrent (safe + risky) loop: ff_akz_vf
- concurrent (safe + risky) vectorized: ff_akz_vf_vec
- concurrent (safe + risky) optimized-vectorized: ff_akz_vf_vecsv
- two-stage (safe + risky) loop: ff_wkz_vf
- two-stage (safe + risky) vectorized: ff_wkz_vf_vec
- two-stage (safe + risky) optimized-vectorized: ff_wkz_vf_vecsv
- two-stage + interpolate (safe + risky) loop: ff_iwkz_vf
- two-stage + interpolate (safe + risky) vectorized: ff_iwkz_vf_vec
- two-stage + interpolate (safe + risky) optimized-vectorized: ff_iwkz_vf_vecsv
Default
- it_param_set = 1: quick test
- it_param_set = 2: benchmark run
- it_param_set = 3: benchmark profile
- it_param_set = 4: press publish button
it_param_set = 2; bl_input_override = true; [param_map, support_map] = ffs_akz_set_default_param(it_param_set); % Note: param_map and support_map can be adjusted here or outside to override defaults % param_map('it_w_n') = 50; % param_map('it_z_n') = 15; % get armt and func map [armt_map, func_map] = ffs_akz_get_funcgrid(param_map, support_map, bl_input_override); % 1 for override default_params = {param_map support_map armt_map func_map};
Parse Parameters 1
% if varargin only has param_map and support_map, params_len = length(varargin); [default_params{1:params_len}] = varargin{:}; param_map = [param_map; default_params{1}]; support_map = [support_map; default_params{2}]; if params_len >= 1 && params_len <= 2 % If override param_map, re-generate armt and func if they are not % provided bl_input_override = true; [armt_map, func_map] = ffs_akz_get_funcgrid(param_map, support_map, bl_input_override); else % Override all armt_map = [armt_map; default_params{3}]; func_map = [func_map; default_params{4}]; end % append function name st_func_name = 'ff_wkz_vf'; support_map('st_profile_name_main') = [st_func_name support_map('st_profile_name_main')]; support_map('st_mat_name_main') = [st_func_name support_map('st_mat_name_main')]; support_map('st_img_name_main') = [st_func_name support_map('st_img_name_main')];
Parse Parameters 2
% armt_map params_group = values(armt_map, {'ar_w', 'ar_z'}); [ ar_w, ar_z] = 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{:}; % func_map params_group = values(func_map, {'f_util_log', 'f_util_crra', 'f_cons', 'f_coh'}); [f_util_log, f_util_crra, f_cons, f_coh] = params_group{:}; % param_map params_group = values(param_map, {'fl_r_save', 'fl_r_borr', 'fl_w',... 'it_z_n', 'fl_crra', 'fl_beta', 'fl_c_min'}); [fl_r_save, fl_r_borr, fl_wage, it_z_n, fl_crra, fl_beta, fl_c_min] = params_group{:}; params_group = values(param_map, {'it_maxiter_val', 'fl_tol_val', 'fl_tol_pol', 'it_tol_pol_nochange'}); [it_maxiter_val, fl_tol_val, fl_tol_pol, it_tol_pol_nochange] = params_group{:}; % support_map params_group = values(support_map, {'bl_profile', 'st_profile_path', ... 'st_profile_prefix', 'st_profile_name_main', 'st_profile_suffix',... 'bl_time', 'bl_display', 'it_display_every', 'bl_post'}); [bl_profile, st_profile_path, ... st_profile_prefix, st_profile_name_main, st_profile_suffix, ... bl_time, bl_display, it_display_every, bl_post] = params_group{:};
Initialize Output Matrixes
mt_val_cur = zeros(length(ar_a_meshk),length(ar_z)); mt_val = mt_val_cur - 1; mt_pol_a = zeros(length(ar_a_meshk),length(ar_z)); mt_pol_a_cur = mt_pol_a - 1; mt_pol_k = zeros(length(ar_a_meshk),length(ar_z)); mt_pol_k_cur = mt_pol_k - 1;
Initialize Convergence Conditions
bl_vfi_continue = true; it_iter = 0; ar_val_diff_norm = zeros([it_maxiter_val, 1]); ar_pol_diff_norm = zeros([it_maxiter_val, 1]); mt_pol_perc_change = zeros([it_maxiter_val, it_z_n]);
Iterate Value Function
Loop solution with 4 nested loops
- loop 1: over exogenous states
- loop 2: over endogenous states
- loop 3: over choices
- loop 4: add future utility, integration--loop over future shocks
% Start Profile if (bl_profile) close all; profile off; profile on; end % Start Timer if (bl_time) tic; end % Value Function Iteration while bl_vfi_continue
it_iter = it_iter + 1;
Solve Second Stage Problem k*(w,z)
This is the key difference between this function and ffs_akz_set_functions which solves the two stages jointly
bl_input_override = true;
[mt_ev_condi_z_max, ~, mt_ev_condi_z_max_kp, mt_ev_condi_z_max_bp] = ...
ff_wkz_evf(mt_val_cur, param_map, support_map, armt_map, bl_input_override);
Solve First Stage Problem w*(z) given k*(w,z)
loop 1: over exogenous states
for it_z_i = 1:length(ar_z) % Get 2nd Stage Arrays ar_ev_condi_z_max_z = mt_ev_condi_z_max(:, it_z_i); ar_w_kstar_z = mt_ev_condi_z_max_kp(:, it_z_i); ar_w_astar_z = mt_ev_condi_z_max_bp(:, it_z_i); % loop 2: over endogenous states for it_coh_j = 1:length(ar_a_meshk) % Get cash-on-hand which include k,b,z fl_coh = mt_coh_wkb(it_coh_j, it_z_i); % loop 3: over choices, only w vector % we choose w(z), know from ff_wkz_evf k*(w,z), b*=w-k* ar_val_cur = zeros(size(ar_w)); for it_cohp_k = 1:length(ar_w) fl_w_kstar_z = ar_w_kstar_z(it_cohp_k); fl_w_astar_z = ar_w_astar_z(it_cohp_k); % consumption fl_c = f_cons(fl_coh, fl_w_astar_z, fl_w_kstar_z); % current utility if (fl_crra == 1) ar_val_cur(it_cohp_k) = f_util_log(fl_c); fl_u_neg_c = f_util_log(fl_c_min); else ar_val_cur(it_cohp_k) = f_util_crra(fl_c); fl_u_neg_c = f_util_crra(fl_c_min); end % loop 4: add future utility, integration already done in % ff_wkz_evf fl_ev_condi_z_max_z = ar_ev_condi_z_max_z(it_cohp_k); ar_val_cur(it_cohp_k) = ar_val_cur(it_cohp_k) + fl_beta*fl_ev_condi_z_max_z; % Replace if negative consumption if fl_c <= 0 ar_val_cur(it_cohp_k) = fl_u_neg_c; end end % maximization over loop 3 choices for loop 1+2 states it_max_lin_idx = find(ar_val_cur == max(ar_val_cur)); mt_val(it_coh_j,it_z_i) = ar_val_cur(it_max_lin_idx(1)); mt_pol_a(it_coh_j,it_z_i) = ar_w_astar_z(it_max_lin_idx(1)); mt_pol_k(it_coh_j,it_z_i) = ar_w_kstar_z(it_max_lin_idx(1)); end end
Check Tolerance and Continuation
% Difference across iterations ar_val_diff_norm(it_iter) = norm(mt_val - mt_val_cur); ar_pol_diff_norm(it_iter) = norm(mt_pol_a - mt_pol_a_cur) + norm(mt_pol_k - mt_pol_k_cur); ar_pol_a_perc_change = sum((mt_pol_a ~= mt_pol_a_cur))/(it_ameshk_n); ar_pol_k_perc_change = sum((mt_pol_k ~= mt_pol_k_cur))/(it_ameshk_n); mt_pol_perc_change(it_iter, :) = mean([ar_pol_a_perc_change;ar_pol_k_perc_change]); % Update mt_val_cur = mt_val; mt_pol_a_cur = mt_pol_a; mt_pol_k_cur = mt_pol_k; % Print Iteration Results if (bl_display && (rem(it_iter, it_display_every)==0)) fprintf('VAL it_iter:%d, fl_diff:%d, fl_diff_pol:%d\n', ... it_iter, ar_val_diff_norm(it_iter), ar_pol_diff_norm(it_iter)); tb_valpol_iter = array2table([mean(mt_val_cur,1);... mean(mt_pol_a_cur,1); ... mean(mt_pol_k_cur,1); ... mt_val_cur(it_ameshk_n,:); ... mt_pol_a_cur(it_ameshk_n,:); ... mt_pol_k_cur(it_ameshk_n,:)]); tb_valpol_iter.Properties.VariableNames = strcat('z', string((1:size(mt_val_cur,2)))); tb_valpol_iter.Properties.RowNames = {'mval', 'map', 'mak', 'Hval', 'Hap', 'Hak'}; disp('mval = mean(mt_val_cur,1), average value over a') disp('map = mean(mt_pol_a_cur,1), average choice over a') disp('mkp = mean(mt_pol_k_cur,1), average choice over k') disp('Hval = mt_val_cur(it_ameshk_n,:), highest a state val') disp('Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice') disp('mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice') disp(tb_valpol_iter); end % Continuation Conditions: % 1. if value function convergence criteria reached % 2. if policy function variation over iterations is less than % threshold if (it_iter == (it_maxiter_val + 1)) bl_vfi_continue = false; elseif ((it_iter == it_maxiter_val) || ... (ar_val_diff_norm(it_iter) < fl_tol_val) || ... (sum(ar_pol_diff_norm(max(1, it_iter-it_tol_pol_nochange):it_iter)) < fl_tol_pol)) % Fix to max, run again to save results if needed it_iter_last = it_iter; it_iter = it_maxiter_val; end
VAL it_iter:5, fl_diff:1.134982e+02, fl_diff_pol:2.663606e+02 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 5.4955 5.516 5.5397 5.5666 5.5964 5.6295 5.6659 5.7058 5.7496 5.7973 5.8491 5.9048 5.9642 6.0264 6.089 map 23.477 23.532 22.582 22.651 21.717 21.778 20.882 19.99 18.542 17.459 15.85 14.164 12.623 10.383 8.3802 mak 2.0352 2.0352 3.0476 3.0492 4.0576 4.076 5.062 6.0584 7.6727 8.9964 10.872 12.74 14.564 17.14 19.573 Hval 6.173 6.1848 6.1984 6.214 6.2314 6.2509 6.2731 6.2981 6.3256 6.3565 6.3908 6.4286 6.4698 6.5138 6.5591 Hap 34.694 34.694 33.673 33.673 32.653 32.653 32.653 31.633 29.592 29.592 27.551 26.531 24.49 22.449 20.408 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 8.1633 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:10, fl_diff:6.358055e+01, fl_diff_pol:8.816339e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 8.0238 8.0756 8.1348 8.2008 8.2724 8.3503 8.4348 8.5261 8.6246 8.7308 8.8445 8.9656 9.0934 9.2255 9.3568 map 26.437 26.511 25.581 25.681 24.778 24.89 24.038 23.198 21.95 20.736 19.181 17.616 16.083 13.841 11.818 mak 2.0352 2.0368 3.0492 3.0492 4.0592 4.0784 5.0676 6.0696 7.5358 9.0324 10.911 12.76 14.724 17.417 20 Hval 9.2934 9.3253 9.3617 9.4022 9.4488 9.4997 9.5548 9.6158 9.6835 9.7563 9.8376 9.9245 10.018 10.116 10.216 Hap 38.776 38.776 37.755 37.755 37.755 37.755 36.735 36.735 35.714 34.694 32.653 31.633 29.592 27.551 25.51 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:15, fl_diff:3.879910e+01, fl_diff_pol:4.435572e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 9.4982 9.5705 9.6528 9.744 9.8428 9.9498 10.065 10.189 10.323 10.467 10.621 10.784 10.957 11.136 11.313 map 27.298 27.378 26.461 26.567 25.693 25.711 24.998 24.186 22.948 21.774 20.25 18.607 17.216 15.022 13.011 mak 2.0368 2.0368 3.0492 3.0508 4.06 4.1865 5.0692 6.0712 7.5558 9.0388 10.901 12.888 14.761 17.486 20.117 Hval 11.124 11.171 11.227 11.29 11.358 11.431 11.512 11.602 11.696 11.802 11.913 12.037 12.169 12.308 12.45 Hap 39.796 39.796 39.796 39.796 38.776 37.755 38.776 37.755 35.714 35.714 34.694 32.653 31.633 29.592 27.551 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 5.102 6.1224 8.1633 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:20, fl_diff:2.470372e+01, fl_diff_pol:3.533853e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 10.434 10.518 10.613 10.718 10.832 10.955 11.088 11.232 11.386 11.552 11.73 11.919 12.12 12.328 12.536 map 27.672 27.766 26.85 26.97 26.097 26.146 25.432 24.635 23.381 22.238 20.682 19.135 17.751 15.559 13.539 mak 2.0368 2.0368 3.0492 3.0516 4.06 4.1689 5.07 6.072 7.579 9.0396 10.964 12.883 14.787 17.512 20.191 Hval 12.275 12.333 12.398 12.47 12.551 12.641 12.736 12.841 12.956 13.08 13.216 13.365 13.523 13.69 13.861 Hap 40.816 40.816 39.796 39.796 39.796 39.796 38.776 38.776 36.735 36.735 34.694 33.673 32.653 30.612 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 8.1633 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:25, fl_diff:1.620750e+01, fl_diff_pol:2.466611e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 11.053 11.142 11.244 11.357 11.479 11.611 11.754 11.908 12.074 12.253 12.446 12.651 12.869 13.095 13.321 map 27.854 27.946 27.034 27.152 26.28 26.247 25.626 24.855 23.748 22.491 20.936 19.439 18.003 15.862 13.824 mak 2.0368 2.0368 3.05 3.0516 4.06 4.2569 5.07 6.0728 7.4686 9.0404 10.942 12.875 14.792 17.524 20.241 Hval 13.008 13.071 13.141 13.224 13.314 13.41 13.516 13.635 13.76 13.902 14.052 14.216 14.392 14.578 14.767 Hap 40.816 40.816 39.796 40.816 39.796 39.796 39.796 38.776 37.755 36.735 35.714 33.673 32.653 30.612 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:30, fl_diff:1.081928e+01, fl_diff_pol:1.970702e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 11.471 11.564 11.669 11.786 11.912 12.05 12.198 12.358 12.531 12.718 12.918 13.133 13.361 13.598 13.836 map 27.945 28.039 27.132 27.252 26.388 26.363 25.753 24.997 23.808 22.613 21.038 19.594 18.163 16.003 13.902 mak 2.0368 2.0368 3.0508 3.0524 4.0616 4.2569 5.0708 6.0728 7.5326 9.0404 10.983 12.864 14.795 17.528 20.309 Hval 13.492 13.557 13.636 13.723 13.818 13.919 14.035 14.159 14.293 14.441 14.601 14.773 14.96 15.158 15.357 Hap 40.816 40.816 40.816 40.816 39.796 38.776 39.796 38.776 37.755 36.735 35.714 34.694 32.653 30.612 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 5.102 6.1224 8.1633 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:35, fl_diff:7.372941e+00, fl_diff_pol:1.684030e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 11.76 11.854 11.961 12.08 12.209 12.349 12.5 12.663 12.84 13.03 13.236 13.456 13.69 13.934 14.178 map 27.988 28.084 27.177 27.305 26.445 26.536 25.825 25.065 23.865 22.685 21.132 19.657 18.271 16.098 13.962 mak 2.0368 2.0376 3.0516 3.0524 4.0616 4.1441 5.0708 6.0728 7.5414 9.0412 10.984 12.877 14.796 17.536 20.349 Hval 13.811 13.879 13.962 14.052 14.149 14.254 14.375 14.502 14.643 14.795 14.963 15.143 15.336 15.541 15.746 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 36.735 35.714 34.694 33.673 31.633 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:40, fl_diff:5.138657e+00, fl_diff_pol:4.699542e+00 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 11.964 12.058 12.166 12.286 12.416 12.557 12.71 12.875 13.053 13.246 13.454 13.677 13.914 14.161 14.409 map 28.008 28.102 27.2 27.325 26.473 26.561 25.857 25.093 23.852 22.719 21.184 19.708 18.329 16.151 13.987 mak 2.0368 2.0376 3.0516 3.0524 4.0616 4.1489 5.0708 6.0728 7.5774 9.0412 10.984 12.864 14.796 17.537 20.384 Hval 14.029 14.099 14.183 14.275 14.373 14.481 14.603 14.732 14.876 15.03 15.203 15.388 15.586 15.796 16.003 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 36.735 35.714 34.694 33.673 31.633 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:45, fl_diff:3.641932e+00, fl_diff_pol:1.330242e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.109 12.205 12.313 12.433 12.564 12.705 12.859 13.025 13.204 13.397 13.606 13.831 14.07 14.319 14.569 map 28.015 28.111 27.211 27.338 26.483 26.575 25.871 25.107 23.859 22.737 21.202 19.727 18.352 16.182 13.982 mak 2.0368 2.0376 3.0516 3.0524 4.0616 4.1489 5.0708 6.0728 7.5894 9.0412 10.984 12.864 14.796 17.539 20.423 Hval 14.181 14.253 14.337 14.43 14.529 14.638 14.761 14.89 15.037 15.191 15.366 15.554 15.755 15.967 16.176 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 36.735 35.714 34.694 33.673 31.633 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:50, fl_diff:2.611019e+00, fl_diff_pol:1.428878e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.215 12.31 12.419 12.539 12.67 12.812 12.965 13.132 13.311 13.505 13.715 13.94 14.18 14.43 14.68 map 28.019 28.117 27.212 27.344 26.491 26.585 25.879 25.112 23.826 22.744 21.211 19.735 18.364 16.196 14 mak 2.0368 2.0376 3.0516 3.0524 4.0616 4.1489 5.0708 6.0728 7.6287 9.0412 10.984 12.864 14.796 17.54 20.423 Hval 14.29 14.363 14.447 14.54 14.639 14.749 14.872 15.002 15.149 15.304 15.48 15.669 15.871 16.085 16.294 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 36.735 35.714 34.694 33.673 31.633 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:55, fl_diff:1.886585e+00, fl_diff_pol:1.345811e+01 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.291 12.386 12.495 12.616 12.747 12.889 13.043 13.209 13.389 13.583 13.793 14.018 14.258 14.509 14.76 map 28.021 28.118 27.216 27.347 26.496 26.59 25.881 25.115 23.831 22.75 21.216 19.739 18.371 16.206 13.978 mak 2.0368 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.457 Hval 14.368 14.441 14.526 14.618 14.718 14.828 14.952 15.081 15.229 15.384 15.56 15.75 15.953 16.168 16.377 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 28.571 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 21.429
VAL it_iter:60, fl_diff:1.370342e+00, fl_diff_pol:1.767399e+00 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.347 12.442 12.551 12.672 12.803 12.945 13.099 13.265 13.445 13.639 13.849 14.075 14.315 14.566 14.817 map 28.022 28.119 27.216 27.348 26.496 26.593 25.882 25.115 23.835 22.752 21.219 19.741 18.372 16.208 14.047 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.425 14.498 14.582 14.675 14.775 14.885 15.009 15.138 15.286 15.442 15.618 15.808 16.012 16.226 16.436 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:65, fl_diff:9.988929e-01, fl_diff_pol:1.020408e+00 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.387 12.483 12.592 12.712 12.843 12.985 13.139 13.306 13.486 13.68 13.89 14.116 14.356 14.607 14.859 map 28.023 28.119 27.216 27.348 26.496 26.595 25.882 25.115 23.835 22.753 21.221 19.741 18.372 16.21 14.047 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.466 14.539 14.624 14.716 14.816 14.927 15.05 15.18 15.328 15.483 15.66 15.85 16.054 16.269 16.478 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:70, fl_diff:7.298583e-01, fl_diff_pol:1.020408e+00 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.417 12.513 12.621 12.742 12.873 13.015 13.169 13.336 13.516 13.71 13.92 14.146 14.386 14.637 14.889 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.754 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.496 14.569 14.654 14.746 14.846 14.957 15.08 15.21 15.358 15.514 15.69 15.88 16.084 16.299 16.509 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:75, fl_diff:5.341101e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.439 12.534 12.643 12.764 12.895 13.037 13.191 13.357 13.537 13.732 13.942 14.168 14.408 14.659 14.911 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.518 14.591 14.676 14.768 14.868 14.979 15.102 15.232 15.38 15.536 15.712 15.902 16.106 16.321 16.531 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:80, fl_diff:3.912520e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.455 12.55 12.659 12.78 12.911 13.053 13.207 13.373 13.553 13.748 13.958 14.184 14.424 14.675 14.927 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.534 14.607 14.692 14.784 14.884 14.995 15.118 15.248 15.396 15.552 15.728 15.918 16.122 16.337 16.547 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:85, fl_diff:2.867881e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.467 12.562 12.671 12.792 12.923 13.065 13.219 13.385 13.565 13.76 13.97 14.195 14.436 14.687 14.939 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.546 14.619 14.703 14.796 14.896 15.007 15.13 15.26 15.408 15.563 15.74 15.93 16.134 16.349 16.559 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:90, fl_diff:2.103033e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.475 12.571 12.679 12.8 12.931 13.073 13.227 13.394 13.574 13.768 13.979 14.204 14.445 14.695 14.947 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.554 14.627 14.712 14.805 14.904 15.015 15.139 15.268 15.416 15.572 15.749 15.939 16.143 16.358 16.568 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:95, fl_diff:1.542585e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.482 12.577 12.686 12.807 12.938 13.08 13.234 13.4 13.58 13.775 13.985 14.21 14.451 14.702 14.953 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.561 14.634 14.718 14.811 14.911 15.021 15.145 15.275 15.423 15.578 15.755 15.945 16.149 16.364 16.574 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
VAL it_iter:100, fl_diff:1.131695e-01, fl_diff_pol:0 mval = mean(mt_val_cur,1), average value over a map = mean(mt_pol_a_cur,1), average choice over a mkp = mean(mt_pol_k_cur,1), average choice over k Hval = mt_val_cur(it_ameshk_n,:), highest a state val Hap = mt_pol_a_cur(it_ameshk_n,:), highest a state choice mak = mt_pol_k_cur(it_ameshk_n,:), highest k state choice z1 z2 z3 z4 z5 z6 z7 z8 z9 z10 z11 z12 z13 z14 z15 ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ ______ mval 12.486 12.582 12.69 12.811 12.942 13.084 13.238 13.405 13.585 13.779 13.99 14.215 14.456 14.706 14.958 map 28.024 28.119 27.216 27.349 26.496 26.595 25.882 25.115 23.835 22.755 21.221 19.742 18.372 16.212 14.05 mak 2.0376 2.0376 3.0516 3.0524 4.0616 4.1481 5.0708 6.0728 7.6271 9.0412 10.984 12.864 14.796 17.54 20.39 Hval 14.565 14.638 14.723 14.816 14.915 15.026 15.15 15.279 15.427 15.583 15.76 15.95 16.154 16.369 16.579 Hap 40.816 41.837 40.816 40.816 39.796 40.816 39.796 38.776 38.776 37.755 35.714 34.694 33.673 31.633 29.592 Hak 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 6.1224 7.1429 9.1837 11.224 13.265 15.306 18.367 20.408
end % End Timer if (bl_time) toc; end % End Profile if (bl_profile) profile off profile viewer st_file_name = [st_profile_prefix st_profile_name_main st_profile_suffix]; profsave(profile('info'), strcat(st_profile_path, st_file_name)); end
Elapsed time is 114.535000 seconds.
Process Optimal Choices
result_map = containers.Map('KeyType','char', 'ValueType','any'); result_map('mt_val') = mt_val; result_map('cl_mt_pol_coh') = {mt_coh_wkb, zeros(1)}; result_map('cl_mt_pol_a') = {mt_pol_a, zeros(1)}; result_map('cl_mt_pol_k') = {mt_pol_k, zeros(1)}; result_map('cl_mt_pol_c') = {f_cons(mt_coh_wkb, mt_pol_a, mt_pol_k), zeros(1)}; result_map('ar_st_pol_names') = ["cl_mt_pol_coh", "cl_mt_pol_a", "cl_mt_pol_k", "cl_mt_pol_c"]; if (bl_post) bl_input_override = true; 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); end
Warning: Directory already exists. Warning: Directory already exists. Warning: Directory already exists. Warning: Directory already exists. 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=1 227.04 276.59 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 iter=2 179.64 2790.4 0.99137 0.99137 0.98549 0.98549 0.97804 0.97804 0.96902 0.95804 0.94588 0.92039 0.88745 0.84824 0.80157 0.72 0.63529 iter=3 151.16 920.98 0.65176 0.65098 0.52314 0.52275 0.61882 0.62196 0.71686 0.62275 0.89216 0.51608 0.69725 0.54235 0.63294 0.5949 0.62627 iter=4 130.1 448.85 0.57725 0.57922 0.49608 0.49608 0.55608 0.57137 0.6251 0.52157 0.78431 0.48863 0.63765 0.50039 0.59569 0.50784 0.51647 iter=5 113.5 266.36 0.53608 0.53569 0.4749 0.47529 0.55882 0.59333 0.58627 0.49137 0.71569 0.47176 0.56196 0.48588 0.51529 0.47686 0.48863 iter=6 99.938 188.1 0.46471 0.46471 0.42588 0.42549 0.46627 0.5 0.54431 0.44627 0.73922 0.43647 0.54745 0.46471 0.47412 0.44902 0.45412 iter=7 88.609 140.12 0.37294 0.37569 0.35176 0.35412 0.39608 0.43098 0.46471 0.37333 0.62392 0.37647 0.50431 0.40941 0.41451 0.40314 0.40824 iter=8 79 120.94 0.27137 0.27412 0.26275 0.2651 0.28627 0.33098 0.32745 0.28588 0.73373 0.29059 0.42902 0.34549 0.33255 0.3298 0.33569 iter=9 70.745 98.728 0.2051 0.20667 0.20078 0.2051 0.22235 0.26471 0.26 0.21529 0.72157 0.21961 0.36275 0.3102 0.25176 0.25294 0.27059 iter=10 63.581 88.163 0.16118 0.16431 0.15412 0.15686 0.1698 0.21098 0.20275 0.17725 0.69804 0.17804 0.27686 0.32588 0.20471 0.21725 0.21922 iter=11 57.334 71.859 0.13059 0.12863 0.12431 0.12431 0.13255 0.16235 0.15529 0.13137 0.61412 0.14353 0.25412 0.26549 0.16431 0.16392 0.17216 iter=12 51.832 69.137 0.098431 0.10039 0.096863 0.096078 0.10902 0.12314 0.13569 0.12431 0.57569 0.11725 0.20902 0.21451 0.13451 0.14941 0.15333 iter=13 46.97 54.289 0.086275 0.086275 0.083529 0.086275 0.093725 0.12431 0.11059 0.092157 0.43373 0.094902 0.16745 0.18824 0.11882 0.10941 0.12196 iter=14 42.649 50.95 0.074118 0.074902 0.071765 0.072941 0.080784 0.13922 0.087059 0.07451 0.42902 0.082353 0.12784 0.11647 0.097255 0.099216 0.10039 iter=15 38.799 44.356 0.056471 0.055686 0.05451 0.055294 0.064314 0.20196 0.073725 0.071373 0.29569 0.073725 0.15098 0.083137 0.072549 0.090588 0.094118 iter=16 35.368 47.104 0.047451 0.049412 0.045882 0.047843 0.051765 0.23922 0.067451 0.065882 0.32314 0.060784 0.15451 0.094902 0.069804 0.072549 0.086275 iter=17 32.283 40.36 0.042353 0.043529 0.043137 0.042353 0.047059 0.25137 0.058039 0.052941 0.22431 0.049804 0.12667 0.088627 0.060784 0.061176 0.061569 iter=18 29.497 32.552 0.040784 0.040392 0.035686 0.041176 0.041569 0.13647 0.04902 0.042353 0.19529 0.042745 0.1302 0.088235 0.058039 0.051765 0.053333 iter=19 26.977 34.912 0.034118 0.033725 0.038431 0.035686 0.039216 0.11608 0.041961 0.035686 0.21686 0.039608 0.11961 0.057647 0.056471 0.045098 0.04902 iter=20 24.704 35.339 0.026275 0.031373 0.027451 0.030588 0.03098 0.19216 0.033333 0.027843 0.21529 0.034902 0.074902 0.040392 0.04 0.045098 0.063529 iter=21 22.656 25.724 0.026275 0.024706 0.024706 0.024706 0.023529 0.1102 0.026275 0.027059 0.12745 0.034902 0.049804 0.04902 0.032157 0.043529 0.081961 iter=22 20.807 24.188 0.019216 0.018431 0.020392 0.016863 0.021176 0.06902 0.025098 0.023922 0.1098 0.028627 0.083922 0.031765 0.027059 0.038431 0.08 iter=23 19.13 28.633 0.018824 0.017647 0.016863 0.019608 0.018824 0.10941 0.021569 0.021176 0.15098 0.021569 0.089804 0.038824 0.025098 0.02902 0.073333 iter=24 17.602 21.949 0.013725 0.016863 0.014902 0.014118 0.016863 0.087843 0.021961 0.018824 0.092549 0.02 0.087451 0.03451 0.021176 0.021961 0.065098 iter=25 16.207 24.666 0.014902 0.013333 0.013725 0.014118 0.013725 0.10863 0.01451 0.017255 0.11686 0.019216 0.043529 0.031373 0.022745 0.021569 0.043137 iter=26 14.932 25.232 0.011373 0.010588 0.012941 0.012549 0.016471 0.070588 0.016863 0.016078 0.12353 0.012941 0.036078 0.039216 0.016863 0.018431 0.061961 iter=27 13.764 21.592 0.01098 0.013333 0.0090196 0.011373 0.012157 0.089412 0.015294 0.014902 0.055686 0.012549 0.04 0.019216 0.016863 0.015294 0.061961 iter=28 12.694 21.639 0.0090196 0.010588 0.010196 0.010588 0.012941 0.087451 0.012941 0.01451 0.089412 0.011765 0.041176 0.014118 0.015686 0.01451 0.038039 iter=29 11.714 23.752 0.0086275 0.0082353 0.0082353 0.0070588 0.0098039 0.072157 0.012941 0.011765 0.10549 0.012549 0.033333 0.01451 0.016078 0.011765 0.062745 iter=30 10.819 19.707 0.0070588 0.0062745 0.0078431 0.007451 0.0070588 0.072941 0.010588 0.012549 0.013333 0.0098039 0.014118 0.011373 0.01451 0.01098 0.038431 iter=31 10.001 20.629 0.0078431 0.005098 0.0047059 0.0082353 0.0058824 0.065098 0.0078431 0.0094118 0.081569 0.0082353 0.011765 0.011373 0.01098 0.012549 0.037255 iter=32 9.2538 18.997 0.0039216 0.0058824 0.0058824 0.0035294 0.010196 0.027451 0.010588 0.0082353 0.070196 0.0094118 0.0094118 0.021569 0.013333 0.010196 0.037647 iter=33 8.5706 18.069 0.0043137 0.0047059 0.0023529 0.0054902 0.0043137 0.044314 0.0062745 0.0054902 0.033725 0.0078431 0.010196 0.0070588 0.011765 0.0090196 0.061569 iter=34 7.9453 10.089 0.0031373 0.0047059 0.007451 0.0062745 0.0035294 0.0070588 0.0062745 0.0047059 0.019608 0.0035294 0.0086275 0.0066667 0.010196 0.0098039 0.0094118 iter=35 7.3729 16.84 0.0027451 0.0031373 0.0023529 0.0027451 0.0058824 0.032157 0.0070588 0.0054902 0.05451 0.0066667 0.0062745 0.007451 0.0070588 0.0090196 0.037647 iter=36 6.8481 13.579 0.0039216 0.0027451 0.0019608 0.0015686 0.0043137 0.027451 0.0043137 0.0039216 0.0031373 0.005098 0.0094118 0.0039216 0.0090196 0.005098 0.034902 iter=37 6.3662 14.429 0.0015686 0.0027451 0.0035294 0.0039216 0.0019608 0.020392 0.0062745 0.0023529 0.039216 0.0031373 0.0043137 0.020392 0.0047059 0.007451 0.034118 iter=38 5.923 4.8384 0.0023529 0.0015686 0 0.0019608 0.0019608 0.0031373 0.0031373 0.0035294 0.0023529 0.0035294 0.0043137 0.0023529 0.0054902 0.0043137 0.0035294 iter=39 5.515 13.871 0.00078431 0.00078431 0.0031373 0.00039216 0.0035294 0.0031373 0.0023529 0.0019608 0.0027451 0.0019608 0.0047059 0.0039216 0.0070588 0.0043137 0.036471 iter=40 5.1387 4.6995 0.0015686 0.0011765 0.0023529 0.0019608 0.0031373 0.0015686 0.0011765 0.0019608 0.00039216 0.0031373 0.0027451 0.0039216 0.0027451 0.005098 0.0043137 iter=41 4.7913 14.522 0.00078431 0.0023529 0.0019608 0.0023529 0.0019608 0.0031373 0.0015686 0.00078431 0.04 0.0031373 0.0031373 0.0015686 0.0035294 0.0039216 0.035294 iter=42 4.4701 11.807 0.0023529 0.0011765 0.00078431 0.00078431 0.00078431 0.0011765 0.0031373 0.0023529 0.026667 0.0015686 0.0011765 0.0011765 0.0023529 0.0027451 0.0047059 iter=43 4.1728 5.4465 0.00039216 0.00039216 0.00078431 0.0011765 0.0011765 0.0023529 0.00078431 0.0015686 0.0023529 0.00078431 0.0031373 0.0043137 0.0035294 0.0043137 0.0054902 iter=44 3.8974 12.575 0.00039216 0.00078431 0.0011765 0.0015686 0.00078431 0.00078431 0.0015686 0.00039216 0.0019608 0.0019608 0.0011765 0.0031373 0.0015686 0.0023529 0.029804 iter=45 3.6419 13.302 0 0 0.00078431 0.00039216 0.00039216 0 0.00039216 0.0015686 0.00039216 0.0011765 0.00039216 0.00078431 0.00078431 0.0031373 0.033333 iter=46 3.4048 2.4995 0 0.0011765 0 0.0011765 0 0.0023529 0.00039216 0 0.0027451 0.00039216 0.00078431 0.0015686 0.0015686 0.0015686 0.0011765 iter=47 3.1844 3.2577 0.00039216 0.00039216 0 0 0.00078431 0.0019608 0.0011765 0.00039216 0 0.00039216 0.0015686 0.00078431 0.0011765 0.0019608 0.0039216 iter=48 2.9795 2.7878 0.0011765 0.00039216 0 0.00039216 0.00078431 0.00078431 0.0011765 0 0.00039216 0.0011765 0.00039216 0.00039216 0.00039216 0.0015686 0.0011765 iter=49 2.7887 2.2817 0.00039216 0 0.00039216 0.00078431 0.0015686 0.00039216 0.0019608 0.0011765 0 0.00078431 0.0011765 0.00078431 0.0019608 0.0011765 0.0019608 iter=50 2.611 14.289 0 0.00078431 0.00039216 0.00039216 0.00039216 0 0.00039216 0.00078431 0.038431 0.00078431 0.00039216 0.0011765 0.00078431 0.00078431 0.00078431 iter=51 2.4454 3.7202 0.00039216 0 0 0 0.00078431 0.00039216 0.00039216 0.00039216 0.00039216 0.00039216 0.00039216 0 0.0015686 0.0011765 0.0019608 iter=52 2.291 3.3021 0 0 0.00039216 0.00039216 0.00078431 0.0011765 0 0.00078431 0.00039216 0 0 0.00078431 0 0.0019608 0.0011765 iter=53 2.1469 4.5043 0.00039216 0 0.00039216 0.00039216 0 0.00078431 0 0 0.0019608 0.0015686 0.00078431 0.00039216 0.0011765 0.00039216 0 iter=54 2.0123 2.2817 0 0 0 0.00078431 0.00039216 0 0 0 0 0.00039216 0.00078431 0.0011765 0.00078431 0.00078431 0.0019608 iter=55 1.8866 13.458 0 0.00039216 0.00078431 0 0.0011765 0 0.00039216 0.00039216 0 0.00039216 0.00078431 0 0 0.00078431 0.034118 iter=56 1.7691 18.926 0.00039216 0 0 0 0 0 0 0 0.00078431 0.00078431 0.00039216 0 0 0.00078431 0.067451 iter=57 1.6593 1.0204 0 0.00039216 0 0 0 0.00039216 0 0 0.00039216 0 0 0.00039216 0 0 0 iter=58 1.5565 1.0204 0.00039216 0 0 0.00039216 0 0 0 0 0 0 0 0.00078431 0 0 0 iter=59 1.4603 1.4431 0 0 0 0 0 0.00039216 0.00039216 0 0.00078431 0 0 0.00039216 0.00039216 0 0 iter=60 1.3703 1.7674 0.00039216 0.00039216 0 0 0 0.00078431 0 0 0 0 0.0011765 0 0 0 0 iter=61 1.2861 1.4431 0 0 0 0 0 0.00039216 0.00039216 0 0 0.00039216 0.00078431 0 0 0 0 iter=62 1.2071 1.4431 0 0 0.00039216 0 0 0 0 0 0 0 0 0 0 0.00078431 0 iter=63 1.1332 1.0204 0 0 0 0 0 0.00039216 0 0 0 0 0 0 0 0 0 iter=64 1.0639 1.0204 0.00039216 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=65 0.99889 1.0204 0 0 0 0 0 0 0 0 0 0.00039216 0.00039216 0 0 0 0 iter=66 0.93798 1.0204 0 0 0 0.00039216 0 0 0 0 0 0.00039216 0 0 0 0.00039216 0 iter=67 0.88086 1.0204 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00039216 0.00039216 iter=68 0.82728 1.0204 0 0 0 0 0 0 0 0 0 0 0 0.00039216 0 0 0.00039216 iter=69 0.77702 1.0204 0.00039216 0 0 0 0 0.00039216 0 0 0 0 0 0 0 0 0 iter=70 0.72986 1.0204 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00039216 0.00039216 iter=71 0.6856 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=72 0.64407 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=73 0.60508 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=74 0.56848 1.0204 0 0 0 0 0 0 0 0 0 0.00039216 0 0 0 0 0 iter=75 0.53411 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=76 0.50184 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=77 0.47154 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=78 0.44308 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=79 0.41636 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=80 0.39125 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=81 0.36767 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=82 0.34552 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=83 0.32471 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=84 0.30516 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=85 0.28679 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=86 0.26953 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=87 0.25331 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=88 0.23808 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=89 0.22376 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=90 0.2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=91 0.19766 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=92 0.18578 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=93 0.17461 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=94 0.16412 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=95 0.15426 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=96 0.14499 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=97 0.13628 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=98 0.12809 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=99 0.1204 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iter=100 0.11317 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 tb_val: V(a,z) value at each state space point z1_0_34741 z2_0_40076 z3_0_4623 z4_0_5333 z5_0_61519 z6_0_70966 z10_1_2567 z11_1_4496 z12_1_6723 z13_1_9291 z14_2_2253 z15_2_567 __________ __________ _________ _________ __________ __________ __________ __________ __________ __________ __________ _________ coh1:k=0,b=0 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 -16.679 coh2:k=1.02041,b=0 1.6951 1.9479 2.2271 2.5214 2.8265 3.1427 4.6343 5.0876 5.5573 6.0229 6.4636 6.8568 coh3:k=0,b=1.02041 2.2448 2.5822 2.9487 3.3322 3.7278 4.1353 6.0791 6.7832 7.4306 8.0338 8.5908 9.0897 coh4:k=2.04082,b=0 2.9914 3.2625 3.5574 3.8626 4.1718 4.4834 5.9294 6.3827 6.8524 7.3179 7.7586 8.1519 coh5:k=1.02041,b=1.02041 3.5061 3.8576 4.2358 4.6264 5.0226 5.4221 7.0898 7.5454 8.0444 8.6067 9.1318 9.6083 coh6:k=0,b=2.04082 3.4934 3.8679 4.2667 4.6754 5.0871 5.4996 7.1962 7.7648 8.3175 8.8438 9.3405 9.8339 coh7:k=3.06122,b=0 4.2237 4.4947 4.7897 5.0949 5.4041 5.7157 7.0339 7.4054 7.7937 8.1869 8.569 8.919 coh8:k=2.04082,b=1.02041 4.3374 4.6305 4.9498 5.3357 5.7345 6.1368 7.7599 8.1816 8.6138 9.051 9.5545 10.014 coh9:k=1.02041,b=2.04082 4.334 4.6334 4.9765 5.3827 5.7967 6.2118 7.864 8.2883 8.7762 9.281 9.7589 10.197 coh10:k=0,b=3.06122 4.3183 4.623 4.9609 5.3839 5.8119 6.2385 7.9162 8.3803 8.8955 9.3883 9.856 10.354 coh11:k=4.08163,b=0 4.9498 5.1987 5.4824 5.7892 6.1044 6.4219 7.7053 8.0447 8.3966 8.7558 9.1106 9.4413 coh12:k=3.06122,b=1.02041 5.0609 5.3315 5.6389 5.9718 6.3154 6.6635 8.246 8.6521 9.0659 9.4844 9.9108 10.356 coh13:k=2.04082,b=2.04082 5.0576 5.3343 5.6481 5.9875 6.3377 6.7307 8.348 8.7568 9.172 9.6484 10.111 10.536 coh14:k=1.02041,b=3.06122 5.0423 5.3242 5.6432 5.9879 6.3465 6.7567 8.3992 8.8106 9.2765 9.7536 10.207 10.653 coh15:k=0,b=4.08163 5.0203 5.3072 5.6313 5.981 6.3412 6.7626 8.4302 8.8525 9.346 9.8176 10.266 10.75 coh16:k=5.10204,b=0 5.5962 5.816 6.0667 6.3398 6.6306 6.9351 8.1927 8.5182 8.8533 9.1951 9.5337 9.8508 coh17:k=4.08163,b=1.02041 5.7049 5.9458 6.2199 6.5185 6.8372 7.1718 8.6475 9.0427 9.4435 9.848 10.247 10.655 coh18:k=3.06122,b=2.04082 5.7016 5.9486 6.2289 6.5339 6.8591 7.2002 8.7473 9.1454 9.5478 9.9687 10.418 10.832 coh19:k=2.04082,b=3.06122 5.6866 5.9387 6.2241 6.5343 6.8646 7.2107 8.7977 9.1984 9.6082 10.072 10.512 10.92 coh20:k=1.02041,b=4.08163 5.6651 5.9221 6.2124 6.5275 6.8625 7.2131 8.8281 9.2315 9.6762 10.135 10.571 11.016 coh21:k=0,b=5.10204 5.6387 5.9008 6.1961 6.5161 6.8557 7.2107 8.8479 9.254 9.7218 10.178 10.613 11.079 coh22:k=6.12245,b=0 6.1694 6.367 6.5911 6.8365 7.0995 7.3793 8.5954 8.9117 9.2353 9.5644 9.8905 10.205 coh23:k=5.10204,b=1.02041 6.2756 6.494 6.7409 7.0114 7.3017 7.6112 8.9965 9.3819 9.7719 10.165 10.552 10.922 coh24:k=4.08163,b=2.04082 6.2725 6.4967 6.7498 7.0266 7.3233 7.6391 9.0943 9.4828 9.8745 10.268 10.692 11.096 coh25:k=3.06122,b=3.06122 6.2577 6.487 6.7451 7.027 7.3287 7.6494 9.1437 9.5348 9.9281 10.355 10.785 11.181 coh26:k=2.04082,b=4.08163 6.2367 6.4707 6.7336 7.0203 7.3267 7.6518 9.1737 9.5674 9.9705 10.417 10.842 11.258 coh27:k=1.02041,b=5.10204 6.2109 6.4499 6.7176 7.009 7.32 7.6494 9.1931 9.5896 10.015 10.46 10.882 11.321 coh28:k=0,b=6.12245 6.181 6.4252 6.6981 6.9944 7.3099 7.6437 9.206 9.6053 10.047 10.491 10.918 11.366 coh29:k=7.14286,b=0 6.6824 6.8619 7.0655 7.289 7.5286 7.7849 8.9456 9.2589 9.5824 9.9115 10.238 10.543 coh30:k=6.12245,b=1.02041 6.7864 6.9862 7.2122 7.4603 7.7268 8.0122 9.3111 9.6849 10.064 10.447 10.824 11.182 coh31:k=5.10204,b=2.04082 6.7833 6.9889 7.2209 7.4752 7.7479 8.0396 9.4061 9.784 10.165 10.548 10.942 11.337 coh32:k=4.08163,b=3.06122 6.7689 6.9793 7.2162 7.4756 7.7533 8.0498 9.4546 9.8352 10.218 10.613 11.033 11.42 coh33:k=3.06122,b=4.08163 6.7482 6.9634 7.205 7.469 7.7512 8.0521 9.484 9.8673 10.252 10.674 11.09 11.482 coh34:k=2.04082,b=5.10204 6.723 6.943 7.1894 7.458 7.7447 8.0498 9.5031 9.8892 10.281 10.716 11.129 11.544 coh35:k=1.02041,b=6.12245 6.6938 6.9188 7.1702 7.4436 7.7348 8.0442 9.5158 9.9047 10.313 10.746 11.159 11.589 coh36:k=0,b=7.14286 6.6606 6.8912 7.1479 7.4263 7.7223 8.036 9.524 9.9158 10.336 10.77 11.19 11.623 coh37:k=8.16327,b=0 7.1458 7.3107 7.4979 7.7039 7.9242 8.1603 9.2863 9.5944 9.9086 10.227 10.543 10.839 coh38:k=7.14286,b=1.02041 7.2476 7.4324 7.6415 7.8717 8.1183 8.3831 9.6194 9.9597 10.33 10.703 11.072 11.422 coh39:k=6.12245,b=2.04082 7.2445 7.435 7.65 7.8863 8.1391 8.4101 9.6892 10.057 10.429 10.803 11.173 11.56 coh40:k=5.10204,b=3.06122 7.2304 7.4256 7.6455 7.8867 8.1443 8.4201 9.7368 10.107 10.481 10.856 11.263 11.642 coh41:k=4.08163,b=4.08163 7.2102 7.41 7.6345 7.8802 8.1424 8.4224 9.7657 10.139 10.515 10.912 11.319 11.694 coh42:k=3.06122,b=5.10204 7.1855 7.39 7.6191 7.8694 8.1359 8.4201 9.7846 10.161 10.538 10.953 11.358 11.753 coh43:k=2.04082,b=6.12245 7.1569 7.3663 7.6003 7.8553 8.1262 8.4146 9.797 10.176 10.56 10.983 11.387 11.797 coh44:k=1.02041,b=7.14286 7.1246 7.3393 7.5785 7.8384 8.1139 8.4065 9.8051 10.187 10.583 11.006 11.409 11.831 coh45:k=0,b=8.16327 7.0883 7.309 7.5538 7.8189 8.0994 8.3964 9.8098 10.195 10.6 11.024 11.436 11.858 coh46:k=9.18367,b=0 7.5679 7.7208 7.8945 8.086 8.2903 8.5093 9.5949 9.8939 10.199 10.508 10.815 11.103 coh47:k=8.16327,b=1.02041 7.6674 7.8399 8.0352 8.2504 8.4806 8.7277 9.8991 10.228 10.577 10.941 11.301 11.643 coh48:k=7.14286,b=2.04082 7.6645 7.8425 8.0436 8.2648 8.501 8.7542 9.9554 10.312 10.674 11.039 11.4 11.769 coh49:k=6.12245,b=3.06122 7.6506 7.8333 8.0392 8.2652 8.5062 8.7641 10.002 10.362 10.726 11.092 11.478 11.85 coh50:k=5.10204,b=4.08163 7.6309 7.818 8.0283 8.2588 8.5042 8.7664 10.031 10.393 10.759 11.134 11.533 11.901 coh1226:k=50,b=0 14.953 14.999 15.052 15.111 15.177 15.247 15.595 15.701 15.818 15.945 16.077 16.208 coh1227:k=48.9796,b=1.02041 14.975 15.026 15.085 15.15 15.222 15.301 15.694 15.817 15.95 16.092 16.242 16.392 coh1228:k=47.9592,b=2.04082 14.975 15.027 15.087 15.154 15.228 15.308 15.717 15.842 15.978 16.124 16.282 16.439 coh1229:k=46.9388,b=3.06122 14.971 15.024 15.086 15.154 15.229 15.311 15.729 15.857 15.995 16.149 16.309 16.467 coh1230:k=45.9184,b=4.08163 14.967 15.021 15.083 15.153 15.229 15.312 15.737 15.866 16.01 16.165 16.327 16.488 coh1231:k=44.898,b=5.10204 14.961 15.016 15.079 15.15 15.227 15.311 15.742 15.873 16.02 16.177 16.34 16.506 coh1232:k=43.8776,b=6.12245 14.955 15.011 15.075 15.146 15.224 15.31 15.746 15.879 16.028 16.187 16.352 16.521 coh1233:k=42.8571,b=7.14286 14.948 15.005 15.07 15.142 15.221 15.307 15.748 15.884 16.035 16.194 16.363 16.532 coh1234:k=41.8367,b=8.16327 14.941 14.998 15.064 15.137 15.217 15.304 15.75 15.887 16.039 16.2 16.372 16.542 coh1235:k=40.8163,b=9.18367 14.934 14.992 15.058 15.132 15.213 15.301 15.75 15.889 16.043 16.205 16.379 16.55 coh1236:k=39.7959,b=10.2041 14.926 14.984 15.052 15.126 15.208 15.297 15.75 15.891 16.046 16.209 16.386 16.557 coh1237:k=38.7755,b=11.2245 14.917 14.977 15.045 15.12 15.203 15.293 15.75 15.892 16.048 16.213 16.391 16.563 coh1238:k=37.7551,b=12.2449 14.908 14.969 15.037 15.114 15.198 15.289 15.749 15.892 16.05 16.216 16.395 16.568 coh1239:k=36.7347,b=13.2653 14.899 14.96 15.03 15.108 15.192 15.284 15.748 15.892 16.051 16.219 16.399 16.572 coh1240:k=35.7143,b=14.2857 14.892 14.951 15.022 15.101 15.186 15.279 15.746 15.891 16.051 16.221 16.402 16.576 coh1241:k=34.6939,b=15.3061 14.884 14.943 15.014 15.093 15.18 15.274 15.744 15.89 16.051 16.222 16.404 16.58 coh1242:k=33.6735,b=16.3265 14.877 14.937 15.005 15.086 15.173 15.268 15.742 15.889 16.051 16.224 16.407 16.582 coh1243:k=32.6531,b=17.3469 14.869 14.929 14.998 15.078 15.166 15.262 15.74 15.887 16.051 16.224 16.408 16.585 coh1244:k=31.6327,b=18.3673 14.861 14.922 14.992 15.069 15.159 15.256 15.737 15.885 16.05 16.225 16.41 16.587 coh1245:k=30.6122,b=19.3878 14.853 14.914 14.985 15.063 15.152 15.25 15.734 15.882 16.049 16.225 16.411 16.589 coh1246:k=29.5918,b=20.4082 14.844 14.906 14.977 15.056 15.144 15.243 15.731 15.88 16.048 16.225 16.412 16.591 coh1247:k=28.5714,b=21.4286 14.835 14.898 14.97 15.05 15.136 15.236 15.727 15.877 16.046 16.224 16.413 16.592 coh1248:k=27.551,b=22.449 14.826 14.889 14.962 15.043 15.13 15.229 15.724 15.874 16.044 16.223 16.413 16.594 coh1249:k=26.5306,b=23.4694 14.816 14.881 14.954 15.036 15.124 15.222 15.72 15.872 16.043 16.222 16.413 16.595 coh1250:k=25.5102,b=24.4898 14.806 14.871 14.946 15.028 15.117 15.214 15.716 15.869 16.04 16.221 16.413 16.595 coh1251:k=24.4898,b=25.5102 14.796 14.862 14.937 15.02 15.111 15.208 15.712 15.866 16.038 16.22 16.413 16.596 coh1252:k=23.4694,b=26.5306 14.787 14.852 14.928 15.012 15.104 15.202 15.707 15.863 16.036 16.218 16.413 16.597 coh1253:k=22.449,b=27.551 14.779 14.842 14.919 15.004 15.096 15.196 15.703 15.86 16.033 16.216 16.412 16.597 coh1254:k=21.4286,b=28.5714 14.771 14.834 14.91 14.996 15.089 15.189 15.698 15.857 16.03 16.214 16.411 16.597 coh1255:k=20.4082,b=29.5918 14.762 14.826 14.9 14.987 15.081 15.183 15.693 15.853 16.027 16.212 16.411 16.597 coh1256:k=19.3878,b=30.6122 14.753 14.818 14.892 14.978 15.073 15.176 15.688 15.85 16.024 16.21 16.41 16.597 coh1257:k=18.3673,b=31.6327 14.744 14.81 14.885 14.968 15.065 15.169 15.683 15.846 16.021 16.208 16.409 16.597 coh1258:k=17.3469,b=32.6531 14.735 14.801 14.877 14.961 15.056 15.161 15.677 15.842 16.017 16.206 16.407 16.597 coh1259:k=16.3265,b=33.6735 14.725 14.792 14.869 14.953 15.048 15.154 15.672 15.838 16.014 16.204 16.406 16.597 coh1260:k=15.3061,b=34.6939 14.715 14.783 14.86 14.946 15.038 15.146 15.668 15.834 16.01 16.202 16.404 16.596 coh1261:k=14.2857,b=35.7143 14.705 14.774 14.852 14.938 15.031 15.138 15.664 15.829 16.006 16.199 16.403 16.596 coh1262:k=13.2653,b=36.7347 14.694 14.764 14.843 14.93 15.024 15.13 15.659 15.825 16.002 16.197 16.401 16.595 coh1263:k=12.2449,b=37.7551 14.683 14.754 14.834 14.922 15.017 15.121 15.654 15.82 15.998 16.194 16.399 16.594 coh1264:k=11.2245,b=38.7755 14.675 14.743 14.824 14.913 15.009 15.112 15.649 15.815 15.994 16.191 16.397 16.593 coh1265:k=10.2041,b=39.7959 14.666 14.733 14.814 14.905 15.002 15.106 15.644 15.81 15.991 16.189 16.395 16.592 coh1266:k=9.18367,b=40.8163 14.657 14.725 14.804 14.895 14.994 15.099 15.639 15.805 15.987 16.186 16.393 16.591 coh1267:k=8.16327,b=41.8367 14.648 14.716 14.794 14.886 14.986 15.092 15.633 15.8 15.984 16.183 16.391 16.59 coh1268:k=7.14286,b=42.8571 14.639 14.708 14.786 14.876 14.977 15.084 15.628 15.794 15.98 16.18 16.389 16.589 coh1269:k=6.12245,b=43.8776 14.629 14.699 14.778 14.866 14.968 15.077 15.622 15.789 15.976 16.176 16.386 16.588 coh1270:k=5.10204,b=44.898 14.619 14.69 14.77 14.857 14.959 15.069 15.616 15.784 15.972 16.173 16.384 16.587 coh1271:k=4.08163,b=45.9184 14.609 14.68 14.761 14.85 14.95 15.061 15.61 15.78 15.968 16.17 16.381 16.586 coh1272:k=3.06122,b=46.9388 14.598 14.67 14.752 14.842 14.94 15.053 15.604 15.775 15.964 16.166 16.378 16.584 coh1273:k=2.04082,b=47.9592 14.587 14.66 14.743 14.834 14.931 15.045 15.597 15.77 15.959 16.162 16.376 16.583 coh1274:k=1.02041,b=48.9796 14.576 14.65 14.734 14.825 14.924 15.036 15.591 15.765 15.955 16.158 16.373 16.581 coh1275:k=0,b=50 14.566 14.639 14.724 14.817 14.916 15.027 15.584 15.761 15.95 16.155 16.37 16.579 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 0 0 0 0 0 0 0 0 0 0 0 coh2:k=1.02041,b=0 0 0 0 0 0 0 0 0 0 0 0 0 coh3:k=0,b=1.02041 0 0 0 0 0 0 0 0 0 0 0 0 coh4:k=2.04082,b=0 0 0 0 0 0 0 0 0 0 0 0 0 coh5:k=1.02041,b=1.02041 0 0 0 0 0 0 0 0 0 0 0 0 coh6:k=0,b=2.04082 0 0 0 0 0 0 0 0 0 0 0 0 coh7:k=3.06122,b=0 0 0 0 0 0 0 0 0 0 0 0 0 coh8:k=2.04082,b=1.02041 0 0 0 0 0 0 0 0 0 0 0 0 coh9:k=1.02041,b=2.04082 0 0 0 0 0 0 0 0 0 0 0 0 coh10:k=0,b=3.06122 0 0 0 0 0 0 0 0 0 0 0 0 coh11:k=4.08163,b=0 1.0204 1.0204 0 0 0 0 0 0 0 0 0 0 coh12:k=3.06122,b=1.02041 1.0204 1.0204 0 0 0 0 0 0 0 0 0 0 coh13:k=2.04082,b=2.04082 1.0204 1.0204 0 0 0 0 0 0 0 0 0 0 coh14:k=1.02041,b=3.06122 1.0204 1.0204 0 0 0 0 0 0 0 0 0 0 coh15:k=0,b=4.08163 1.0204 1.0204 0 0 0 0 0 0 0 0 0 0 coh16:k=5.10204,b=0 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh17:k=4.08163,b=1.02041 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh18:k=3.06122,b=2.04082 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh19:k=2.04082,b=3.06122 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh20:k=1.02041,b=4.08163 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh21:k=0,b=5.10204 2.0408 2.0408 1.0204 1.0204 0 0 0 0 0 0 0 0 coh22:k=6.12245,b=0 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh23:k=5.10204,b=1.02041 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh24:k=4.08163,b=2.04082 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh25:k=3.06122,b=3.06122 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh26:k=2.04082,b=4.08163 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh27:k=1.02041,b=5.10204 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh28:k=0,b=6.12245 3.0612 3.0612 2.0408 2.0408 1.0204 0 0 0 0 0 0 0 coh29:k=7.14286,b=0 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh30:k=6.12245,b=1.02041 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh31:k=5.10204,b=2.04082 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh32:k=4.08163,b=3.06122 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh33:k=3.06122,b=4.08163 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh34:k=2.04082,b=5.10204 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh35:k=1.02041,b=6.12245 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh36:k=0,b=7.14286 4.0816 4.0816 3.0612 3.0612 2.0408 1.0204 0 0 0 0 0 0 coh37:k=8.16327,b=0 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh38:k=7.14286,b=1.02041 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh39:k=6.12245,b=2.04082 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh40:k=5.10204,b=3.06122 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh41:k=4.08163,b=4.08163 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh42:k=3.06122,b=5.10204 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh43:k=2.04082,b=6.12245 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh44:k=1.02041,b=7.14286 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh45:k=0,b=8.16327 5.102 5.102 4.0816 4.0816 3.0612 2.0408 0 0 0 0 0 0 coh46:k=9.18367,b=0 6.1224 6.1224 5.102 5.102 4.0816 4.0816 0 0 0 0 0 0 coh47:k=8.16327,b=1.02041 6.1224 6.1224 5.102 5.102 4.0816 4.0816 0 0 0 0 0 0 coh48:k=7.14286,b=2.04082 6.1224 6.1224 5.102 5.102 4.0816 4.0816 0 0 0 0 0 0 coh49:k=6.12245,b=3.06122 6.1224 6.1224 5.102 5.102 4.0816 4.0816 0 0 0 0 0 0 coh50:k=5.10204,b=4.08163 6.1224 6.1224 5.102 5.102 4.0816 4.0816 0 0 0 0 0 0 coh1226:k=50,b=0 44.898 44.898 43.878 43.878 42.857 42.857 37.755 35.714 32.653 30.612 27.551 24.49 coh1227:k=48.9796,b=1.02041 44.898 44.898 43.878 43.878 42.857 42.857 38.776 36.735 34.694 32.653 29.592 26.531 coh1228:k=47.9592,b=2.04082 44.898 44.898 43.878 43.878 42.857 42.857 38.776 36.735 34.694 32.653 30.612 27.551 coh1229:k=46.9388,b=3.06122 44.898 44.898 43.878 43.878 42.857 42.857 38.776 36.735 34.694 33.673 30.612 27.551 coh1230:k=45.9184,b=4.08163 44.898 44.898 43.878 43.878 42.857 42.857 38.776 36.735 35.714 33.673 30.612 29.592 coh1231:k=44.898,b=5.10204 44.898 44.898 43.878 43.878 42.857 42.857 38.776 36.735 35.714 33.673 30.612 29.592 coh1232:k=43.8776,b=6.12245 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 33.673 31.633 29.592 coh1233:k=42.8571,b=7.14286 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 33.673 31.633 29.592 coh1234:k=41.8367,b=8.16327 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 33.673 31.633 29.592 coh1235:k=40.8163,b=9.18367 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 33.673 31.633 29.592 coh1236:k=39.7959,b=10.2041 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 33.673 31.633 29.592 coh1237:k=38.7755,b=11.2245 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1238:k=37.7551,b=12.2449 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1239:k=36.7347,b=13.2653 44.898 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1240:k=35.7143,b=14.2857 43.878 44.898 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1241:k=34.6939,b=15.3061 43.878 43.878 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1242:k=33.6735,b=16.3265 43.878 43.878 43.878 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1243:k=32.6531,b=17.3469 43.878 43.878 42.857 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1244:k=31.6327,b=18.3673 43.878 43.878 42.857 43.878 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1245:k=30.6122,b=19.3878 43.878 43.878 42.857 42.857 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1246:k=29.5918,b=20.4082 43.878 43.878 42.857 42.857 42.857 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1247:k=28.5714,b=21.4286 43.878 43.878 42.857 42.857 41.837 42.857 38.776 37.755 35.714 34.694 31.633 29.592 coh1248:k=27.551,b=22.449 43.878 43.878 42.857 42.857 41.837 42.857 38.776 36.735 35.714 34.694 31.633 29.592 coh1249:k=26.5306,b=23.4694 43.878 43.878 42.857 42.857 41.837 42.857 38.776 36.735 35.714 34.694 31.633 29.592 coh1250:k=25.5102,b=24.4898 43.878 43.878 42.857 42.857 41.837 42.857 38.776 36.735 35.714 34.694 31.633 29.592 coh1251:k=24.4898,b=25.5102 43.878 43.878 42.857 42.857 41.837 41.837 38.776 36.735 35.714 34.694 31.633 29.592 coh1252:k=23.4694,b=26.5306 42.857 43.878 42.857 42.857 41.837 41.837 38.776 36.735 35.714 34.694 31.633 29.592 coh1253:k=22.449,b=27.551 42.857 43.878 42.857 42.857 41.837 41.837 38.776 36.735 35.714 34.694 31.633 29.592 coh1254:k=21.4286,b=28.5714 42.857 42.857 42.857 42.857 41.837 41.837 38.776 36.735 35.714 34.694 31.633 29.592 coh1255:k=20.4082,b=29.5918 42.857 42.857 41.837 42.857 41.837 41.837 38.776 36.735 35.714 34.694 31.633 29.592 coh1256:k=19.3878,b=30.6122 42.857 42.857 41.837 42.857 41.837 41.837 38.776 36.735 35.714 33.673 31.633 29.592 coh1257:k=18.3673,b=31.6327 42.857 42.857 41.837 42.857 41.837 41.837 38.776 36.735 35.714 33.673 31.633 29.592 coh1258:k=17.3469,b=32.6531 42.857 42.857 41.837 41.837 41.837 41.837 38.776 36.735 35.714 33.673 31.633 29.592 coh1259:k=16.3265,b=33.6735 42.857 42.857 41.837 41.837 41.837 41.837 37.755 36.735 35.714 33.673 31.633 29.592 coh1260:k=15.3061,b=34.6939 42.857 42.857 41.837 41.837 41.837 41.837 37.755 36.735 35.714 33.673 31.633 29.592 coh1261:k=14.2857,b=35.7143 42.857 42.857 41.837 41.837 40.816 41.837 37.755 36.735 35.714 33.673 31.633 29.592 coh1262:k=13.2653,b=36.7347 42.857 42.857 41.837 41.837 40.816 41.837 37.755 36.735 35.714 33.673 31.633 29.592 coh1263:k=12.2449,b=37.7551 42.857 42.857 41.837 41.837 40.816 41.837 37.755 36.735 35.714 33.673 31.633 29.592 coh1264:k=11.2245,b=38.7755 41.837 42.857 41.837 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1265:k=10.2041,b=39.7959 41.837 41.837 41.837 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1266:k=9.18367,b=40.8163 41.837 41.837 41.837 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1267:k=8.16327,b=41.8367 41.837 41.837 40.816 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1268:k=7.14286,b=42.8571 41.837 41.837 40.816 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1269:k=6.12245,b=43.8776 41.837 41.837 40.816 41.837 40.816 40.816 37.755 36.735 34.694 33.673 31.633 29.592 coh1270:k=5.10204,b=44.898 41.837 41.837 40.816 40.816 40.816 40.816 37.755 35.714 34.694 33.673 31.633 29.592 coh1271:k=4.08163,b=45.9184 41.837 41.837 40.816 40.816 40.816 40.816 37.755 35.714 34.694 33.673 31.633 29.592 coh1272:k=3.06122,b=46.9388 41.837 41.837 40.816 40.816 40.816 40.816 37.755 35.714 34.694 33.673 31.633 29.592 coh1273:k=2.04082,b=47.9592 41.837 41.837 40.816 40.816 39.796 40.816 37.755 35.714 34.694 33.673 31.633 29.592 coh1274:k=1.02041,b=48.9796 41.837 41.837 40.816 40.816 39.796 40.816 37.755 35.714 34.694 33.673 31.633 29.592 coh1275:k=0,b=50 40.816 41.837 40.816 40.816 39.796 40.816 37.755 35.714 34.694 33.673 31.633 29.592 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 0 0 0 0 0 0 0 0 0 0 0 coh2:k=1.02041,b=0 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 coh3:k=0,b=1.02041 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 coh4:k=2.04082,b=0 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 coh5:k=1.02041,b=1.02041 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 coh6:k=0,b=2.04082 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 4.0816 coh7:k=3.06122,b=0 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 coh8:k=2.04082,b=1.02041 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 coh9:k=1.02041,b=2.04082 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 coh10:k=0,b=3.06122 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 coh11:k=4.08163,b=0 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 coh12:k=3.06122,b=1.02041 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 coh13:k=2.04082,b=2.04082 2.0408 2.0408 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 coh14:k=1.02041,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 6.1224 coh15:k=0,b=4.08163 2.0408 2.0408 3.0612 3.0612 3.0612 4.0816 4.0816 5.102 5.102 5.102 5.102 6.1224 coh16:k=5.10204,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 coh17:k=4.08163,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 5.102 5.102 5.102 5.102 6.1224 coh18:k=3.06122,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 5.102 5.102 6.1224 6.1224 6.1224 coh19:k=2.04082,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 5.102 6.1224 6.1224 6.1224 7.1429 coh20:k=1.02041,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 5.102 6.1224 6.1224 6.1224 7.1429 coh21:k=0,b=5.10204 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 5.102 5.102 6.1224 6.1224 7.1429 7.1429 coh22:k=6.12245,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 5.102 5.102 5.102 5.102 5.102 4.0816 coh23:k=5.10204,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 coh24:k=4.08163,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 coh25:k=3.06122,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 coh26:k=2.04082,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 coh27:k=1.02041,b=5.10204 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 coh28:k=0,b=6.12245 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 7.1429 7.1429 8.1633 8.1633 coh29:k=7.14286,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 5.102 5.102 5.102 5.102 5.102 coh30:k=6.12245,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 7.1429 7.1429 7.1429 7.1429 7.1429 coh31:k=5.10204,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 coh32:k=4.08163,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 coh33:k=3.06122,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 7.1429 8.1633 8.1633 9.1837 coh34:k=2.04082,b=5.10204 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 coh35:k=1.02041,b=6.12245 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 coh36:k=0,b=7.14286 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 7.1429 8.1633 8.1633 9.1837 9.1837 coh37:k=8.16327,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 coh38:k=7.14286,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 7.1429 8.1633 8.1633 8.1633 8.1633 8.1633 coh39:k=6.12245,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 coh40:k=5.10204,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 coh41:k=4.08163,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 coh42:k=3.06122,b=5.10204 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 8.1633 9.1837 9.1837 10.204 coh43:k=2.04082,b=6.12245 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 9.1837 9.1837 9.1837 10.204 coh44:k=1.02041,b=7.14286 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 9.1837 9.1837 9.1837 10.204 coh45:k=0,b=8.16327 2.0408 2.0408 3.0612 3.0612 4.0816 5.102 8.1633 8.1633 9.1837 9.1837 10.204 10.204 coh46:k=9.18367,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 coh47:k=8.16327,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 8.1633 8.1633 9.1837 9.1837 9.1837 9.1837 coh48:k=7.14286,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 9.1837 9.1837 9.1837 9.1837 10.204 coh49:k=6.12245,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 9.1837 9.1837 9.1837 10.204 10.204 coh50:k=5.10204,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 9.1837 9.1837 10.204 10.204 10.204 coh1226:k=50,b=0 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 21.429 coh1227:k=48.9796,b=1.02041 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 21.429 coh1228:k=47.9592,b=2.04082 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 21.429 coh1229:k=46.9388,b=3.06122 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 21.429 coh1230:k=45.9184,b=4.08163 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1231:k=44.898,b=5.10204 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1232:k=43.8776,b=6.12245 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1233:k=42.8571,b=7.14286 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1234:k=41.8367,b=8.16327 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1235:k=40.8163,b=9.18367 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1236:k=39.7959,b=10.2041 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1237:k=38.7755,b=11.2245 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1238:k=37.7551,b=12.2449 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1239:k=36.7347,b=13.2653 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1240:k=35.7143,b=14.2857 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1241:k=34.6939,b=15.3061 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1242:k=33.6735,b=16.3265 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1243:k=32.6531,b=17.3469 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1244:k=31.6327,b=18.3673 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1245:k=30.6122,b=19.3878 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1246:k=29.5918,b=20.4082 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1247:k=28.5714,b=21.4286 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1248:k=27.551,b=22.449 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1249:k=26.5306,b=23.4694 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1250:k=25.5102,b=24.4898 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1251:k=24.4898,b=25.5102 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1252:k=23.4694,b=26.5306 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1253:k=22.449,b=27.551 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1254:k=21.4286,b=28.5714 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1255:k=20.4082,b=29.5918 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1256:k=19.3878,b=30.6122 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1257:k=18.3673,b=31.6327 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1258:k=17.3469,b=32.6531 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1259:k=16.3265,b=33.6735 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1260:k=15.3061,b=34.6939 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1261:k=14.2857,b=35.7143 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1262:k=13.2653,b=36.7347 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1263:k=12.2449,b=37.7551 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1264:k=11.2245,b=38.7755 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1265:k=10.2041,b=39.7959 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1266:k=9.18367,b=40.8163 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1267:k=8.16327,b=41.8367 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1268:k=7.14286,b=42.8571 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1269:k=6.12245,b=43.8776 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1270:k=5.10204,b=44.898 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1271:k=4.08163,b=45.9184 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1272:k=3.06122,b=46.9388 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1273:k=2.04082,b=47.9592 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1274:k=1.02041,b=48.9796 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 coh1275:k=0,b=50 2.0408 2.0408 3.0612 3.0612 4.0816 4.0816 9.1837 11.224 13.265 15.306 18.367 20.408 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 0 0 0 0 0 0 0 0 0 0 0 coh2:k=1.02041,b=0 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 coh3:k=0,b=1.02041 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 coh4:k=2.04082,b=0 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 1.0204 1.0204 1.0204 1.0204 1.0204 1.0204 coh5:k=1.02041,b=1.02041 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 coh6:k=0,b=2.04082 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 4.0816 coh7:k=3.06122,b=0 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 2.0408 coh8:k=2.04082,b=1.02041 2.0408 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 coh9:k=1.02041,b=2.04082 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 coh10:k=0,b=3.06122 2.0408 2.0408 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 coh11:k=4.08163,b=0 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 coh12:k=3.06122,b=1.02041 3.0612 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 coh13:k=2.04082,b=2.04082 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 coh14:k=1.02041,b=3.06122 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 6.1224 coh15:k=0,b=4.08163 3.0612 3.0612 3.0612 3.0612 3.0612 4.0816 4.0816 5.102 5.102 5.102 5.102 6.1224 coh16:k=5.10204,b=0 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 coh17:k=4.08163,b=1.02041 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 5.102 5.102 6.1224 coh18:k=3.06122,b=2.04082 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 5.102 5.102 5.102 6.1224 6.1224 6.1224 coh19:k=2.04082,b=3.06122 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 5.102 5.102 6.1224 6.1224 6.1224 7.1429 coh20:k=1.02041,b=4.08163 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 5.102 5.102 6.1224 6.1224 6.1224 7.1429 coh21:k=0,b=5.10204 4.0816 4.0816 4.0816 4.0816 4.0816 4.0816 5.102 5.102 6.1224 6.1224 7.1429 7.1429 coh22:k=6.12245,b=0 5.102 5.102 5.102 5.102 5.102 5.102 5.102 5.102 5.102 5.102 5.102 4.0816 coh23:k=5.10204,b=1.02041 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 coh24:k=4.08163,b=2.04082 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 coh25:k=3.06122,b=3.06122 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 coh26:k=2.04082,b=4.08163 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 coh27:k=1.02041,b=5.10204 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 coh28:k=0,b=6.12245 5.102 5.102 5.102 5.102 5.102 5.102 6.1224 6.1224 7.1429 7.1429 8.1633 8.1633 coh29:k=7.14286,b=0 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 5.102 5.102 5.102 5.102 5.102 coh30:k=6.12245,b=1.02041 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 7.1429 7.1429 coh31:k=5.10204,b=2.04082 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 coh32:k=4.08163,b=3.06122 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 coh33:k=3.06122,b=4.08163 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 7.1429 8.1633 8.1633 9.1837 coh34:k=2.04082,b=5.10204 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 coh35:k=1.02041,b=6.12245 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 coh36:k=0,b=7.14286 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 7.1429 7.1429 8.1633 8.1633 9.1837 9.1837 coh37:k=8.16327,b=0 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 6.1224 6.1224 6.1224 6.1224 6.1224 6.1224 coh38:k=7.14286,b=1.02041 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 8.1633 8.1633 coh39:k=6.12245,b=2.04082 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 coh40:k=5.10204,b=3.06122 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 coh41:k=4.08163,b=4.08163 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 coh42:k=3.06122,b=5.10204 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 8.1633 9.1837 9.1837 10.204 coh43:k=2.04082,b=6.12245 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 9.1837 9.1837 9.1837 10.204 coh44:k=1.02041,b=7.14286 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 9.1837 9.1837 9.1837 10.204 coh45:k=0,b=8.16327 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 8.1633 8.1633 9.1837 9.1837 10.204 10.204 coh46:k=9.18367,b=0 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 7.1429 7.1429 7.1429 7.1429 7.1429 7.1429 coh47:k=8.16327,b=1.02041 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 9.1837 coh48:k=7.14286,b=2.04082 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 9.1837 9.1837 10.204 coh49:k=6.12245,b=3.06122 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 9.1837 10.204 10.204 coh50:k=5.10204,b=4.08163 8.1633 8.1633 8.1633 8.1633 8.1633 8.1633 9.1837 9.1837 9.1837 10.204 10.204 10.204 coh1226:k=50,b=0 46.939 46.939 46.939 46.939 46.939 46.939 46.939 46.939 45.918 45.918 45.918 45.918 coh1227:k=48.9796,b=1.02041 46.939 46.939 46.939 46.939 46.939 46.939 47.959 47.959 47.959 47.959 47.959 47.959 coh1228:k=47.9592,b=2.04082 46.939 46.939 46.939 46.939 46.939 46.939 47.959 47.959 47.959 47.959 48.98 48.98 coh1229:k=46.9388,b=3.06122 46.939 46.939 46.939 46.939 46.939 46.939 47.959 47.959 47.959 48.98 48.98 48.98 coh1230:k=45.9184,b=4.08163 46.939 46.939 46.939 46.939 46.939 46.939 47.959 47.959 48.98 48.98 48.98 50 coh1231:k=44.898,b=5.10204 46.939 46.939 46.939 46.939 46.939 46.939 47.959 47.959 48.98 48.98 48.98 50 coh1232:k=43.8776,b=6.12245 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 48.98 50 50 coh1233:k=42.8571,b=7.14286 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 48.98 50 50 coh1234:k=41.8367,b=8.16327 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 48.98 50 50 coh1235:k=40.8163,b=9.18367 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 48.98 50 50 coh1236:k=39.7959,b=10.2041 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 48.98 50 50 coh1237:k=38.7755,b=11.2245 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1238:k=37.7551,b=12.2449 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1239:k=36.7347,b=13.2653 46.939 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1240:k=35.7143,b=14.2857 45.918 46.939 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1241:k=34.6939,b=15.3061 45.918 45.918 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1242:k=33.6735,b=16.3265 45.918 45.918 46.939 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1243:k=32.6531,b=17.3469 45.918 45.918 45.918 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1244:k=31.6327,b=18.3673 45.918 45.918 45.918 46.939 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1245:k=30.6122,b=19.3878 45.918 45.918 45.918 45.918 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1246:k=29.5918,b=20.4082 45.918 45.918 45.918 45.918 46.939 46.939 47.959 48.98 48.98 50 50 50 coh1247:k=28.5714,b=21.4286 45.918 45.918 45.918 45.918 45.918 46.939 47.959 48.98 48.98 50 50 50 coh1248:k=27.551,b=22.449 45.918 45.918 45.918 45.918 45.918 46.939 47.959 47.959 48.98 50 50 50 coh1249:k=26.5306,b=23.4694 45.918 45.918 45.918 45.918 45.918 46.939 47.959 47.959 48.98 50 50 50 coh1250:k=25.5102,b=24.4898 45.918 45.918 45.918 45.918 45.918 46.939 47.959 47.959 48.98 50 50 50 coh1251:k=24.4898,b=25.5102 45.918 45.918 45.918 45.918 45.918 45.918 47.959 47.959 48.98 50 50 50 coh1252:k=23.4694,b=26.5306 44.898 45.918 45.918 45.918 45.918 45.918 47.959 47.959 48.98 50 50 50 coh1253:k=22.449,b=27.551 44.898 45.918 45.918 45.918 45.918 45.918 47.959 47.959 48.98 50 50 50 coh1254:k=21.4286,b=28.5714 44.898 44.898 45.918 45.918 45.918 45.918 47.959 47.959 48.98 50 50 50 coh1255:k=20.4082,b=29.5918 44.898 44.898 44.898 45.918 45.918 45.918 47.959 47.959 48.98 50 50 50 coh1256:k=19.3878,b=30.6122 44.898 44.898 44.898 45.918 45.918 45.918 47.959 47.959 48.98 48.98 50 50 coh1257:k=18.3673,b=31.6327 44.898 44.898 44.898 45.918 45.918 45.918 47.959 47.959 48.98 48.98 50 50 coh1258:k=17.3469,b=32.6531 44.898 44.898 44.898 44.898 45.918 45.918 47.959 47.959 48.98 48.98 50 50 coh1259:k=16.3265,b=33.6735 44.898 44.898 44.898 44.898 45.918 45.918 46.939 47.959 48.98 48.98 50 50 coh1260:k=15.3061,b=34.6939 44.898 44.898 44.898 44.898 45.918 45.918 46.939 47.959 48.98 48.98 50 50 coh1261:k=14.2857,b=35.7143 44.898 44.898 44.898 44.898 44.898 45.918 46.939 47.959 48.98 48.98 50 50 coh1262:k=13.2653,b=36.7347 44.898 44.898 44.898 44.898 44.898 45.918 46.939 47.959 48.98 48.98 50 50 coh1263:k=12.2449,b=37.7551 44.898 44.898 44.898 44.898 44.898 45.918 46.939 47.959 48.98 48.98 50 50 coh1264:k=11.2245,b=38.7755 43.878 44.898 44.898 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1265:k=10.2041,b=39.7959 43.878 43.878 44.898 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1266:k=9.18367,b=40.8163 43.878 43.878 44.898 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1267:k=8.16327,b=41.8367 43.878 43.878 43.878 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1268:k=7.14286,b=42.8571 43.878 43.878 43.878 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1269:k=6.12245,b=43.8776 43.878 43.878 43.878 44.898 44.898 44.898 46.939 47.959 47.959 48.98 50 50 coh1270:k=5.10204,b=44.898 43.878 43.878 43.878 43.878 44.898 44.898 46.939 46.939 47.959 48.98 50 50 coh1271:k=4.08163,b=45.9184 43.878 43.878 43.878 43.878 44.898 44.898 46.939 46.939 47.959 48.98 50 50 coh1272:k=3.06122,b=46.9388 43.878 43.878 43.878 43.878 44.898 44.898 46.939 46.939 47.959 48.98 50 50 coh1273:k=2.04082,b=47.9592 43.878 43.878 43.878 43.878 43.878 44.898 46.939 46.939 47.959 48.98 50 50 coh1274:k=1.02041,b=48.9796 43.878 43.878 43.878 43.878 43.878 44.898 46.939 46.939 47.959 48.98 50 50 coh1275:k=0,b=50 42.857 43.878 43.878 43.878 43.878 44.898 46.939 46.939 47.959 48.98 50 50
end
ans = Map with properties: Count: 14 KeyType: char ValueType: any