1 Life Cycle Dynamic Programming with Marital Status, Children and Savings

This is the example vignette for function: snw_vfi_main_bisec_vec from the PrjOptiSNW Package. This function solves for policy function with vectorized bisection. Value function during COVIDless year.

1.1 Test SNW_VFI_MAIN_BISECT_VEC Defaults

Call the function with defaults.

mp_param = snw_mp_param('default_docdense');
[V_VFI,ap_VFI,cons_VFI] = snw_vfi_main_bisec_vec(mp_param);

SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:83 of 82, time-this-age:9.6616
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:82 of 82, time-this-age:6.0665
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:81 of 82, time-this-age:6.0938
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:80 of 82, time-this-age:6.1322
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:79 of 82, time-this-age:5.731
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:78 of 82, time-this-age:5.9587
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:77 of 82, time-this-age:6.0286
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:76 of 82, time-this-age:6.0378
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:75 of 82, time-this-age:5.7227
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:74 of 82, time-this-age:6.0347
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:73 of 82, time-this-age:6.0197
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:72 of 82, time-this-age:6.0294
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:71 of 82, time-this-age:5.7663
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:70 of 82, time-this-age:5.7878
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:69 of 82, time-this-age:5.9087
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:68 of 82, time-this-age:5.9625
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:67 of 82, time-this-age:5.9427
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:66 of 82, time-this-age:5.526
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:65 of 82, time-this-age:5.9574
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:64 of 82, time-this-age:5.9754
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:63 of 82, time-this-age:5.9528
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:62 of 82, time-this-age:5.7483
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:61 of 82, time-this-age:6.0225
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:60 of 82, time-this-age:6.091
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:59 of 82, time-this-age:6.0448
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:58 of 82, time-this-age:6.0445
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:57 of 82, time-this-age:5.5331
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:56 of 82, time-this-age:6.0133
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:55 of 82, time-this-age:5.9281
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:54 of 82, time-this-age:5.9348
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:53 of 82, time-this-age:5.576
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:52 of 82, time-this-age:5.9723
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:51 of 82, time-this-age:6.1292
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:50 of 82, time-this-age:5.983
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:49 of 82, time-this-age:5.8518
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:48 of 82, time-this-age:5.6741
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:47 of 82, time-this-age:6.0199
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:46 of 82, time-this-age:6.0128
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:45 of 82, time-this-age:6.2299
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:44 of 82, time-this-age:5.8858
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:43 of 82, time-this-age:6.0074
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:42 of 82, time-this-age:6.1082
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:41 of 82, time-this-age:6.1896
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:40 of 82, time-this-age:5.9484
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:39 of 82, time-this-age:5.7184
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:38 of 82, time-this-age:6.0237
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:37 of 82, time-this-age:6.0886
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:36 of 82, time-this-age:5.9999
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:35 of 82, time-this-age:5.8859
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:34 of 82, time-this-age:6.089
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:33 of 82, time-this-age:6.0487
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:32 of 82, time-this-age:5.972
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:31 of 82, time-this-age:6.0053
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:30 of 82, time-this-age:5.671
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:29 of 82, time-this-age:5.8975
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:28 of 82, time-this-age:6.0471
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:27 of 82, time-this-age:6.0284
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:26 of 82, time-this-age:6.03
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:25 of 82, time-this-age:6.0227
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:24 of 82, time-this-age:5.9344
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:23 of 82, time-this-age:6.0962
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:22 of 82, time-this-age:6.1112
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:21 of 82, time-this-age:5.6128
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:20 of 82, time-this-age:6.0994
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:19 of 82, time-this-age:5.9906
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:18 of 82, time-this-age:5.9374
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:17 of 82, time-this-age:5.9326
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:16 of 82, time-this-age:5.6032
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:15 of 82, time-this-age:6.0086
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:14 of 82, time-this-age:6.0024
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:13 of 82, time-this-age:6.0767
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:12 of 82, time-this-age:5.8031
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:11 of 82, time-this-age:6.012
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:10 of 82, time-this-age:6.0142
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:9 of 82, time-this-age:5.9887
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:8 of 82, time-this-age:6.0433
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:7 of 82, time-this-age:5.5764
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:6 of 82, time-this-age:5.9101
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:5 of 82, time-this-age:5.9695
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:4 of 82, time-this-age:5.9063
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:3 of 82, time-this-age:5.7645
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:2 of 82, time-this-age:5.8967
SNW_VFI_MAIN_BISEC_VEC: Finished Age Group:1 of 82, time-this-age:6.0414
Completed SNW_VFI_MAIN_BISEC_VEC;SNW_MP_PARAM=default_docdense;SNW_MP_CONTROL=default_base;time=497.621

1.2 Define Parameters

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

% Grids:
age_grid = 18:100;
agrid = mp_param('agrid')';
eta_H_grid = mp_param('eta_H_grid')';
eta_S_grid = mp_param('eta_S_grid')';
ar_st_eta_HS_grid = string(cellstr([num2str(eta_H_grid', 'hz=%3.2f;'), num2str(eta_S_grid', 'wz=%3.2f')]));
edu_grid = [0,1];
marry_grid = [0,1];
kids_grid = (1:1:mp_param('n_kidsgrid'))';
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
cl_mp_datasetdesc = {};
cl_mp_datasetdesc{1} = containers.Map({'name', 'labval'}, {'age', age_grid});
cl_mp_datasetdesc{2} = containers.Map({'name', 'labval'}, {'savings', agrid});
cl_mp_datasetdesc{3} = containers.Map({'name', 'labval'}, {'eta', 1:length(eta_H_grid)});
cl_mp_datasetdesc{4} = containers.Map({'name', 'labval'}, {'edu', edu_grid});
cl_mp_datasetdesc{5} = containers.Map({'name', 'labval'}, {'marry', marry_grid});
cl_mp_datasetdesc{6} = containers.Map({'name', 'labval'}, {'kids', kids_grid});

1.3 Analyze Savings and Shocks

First, analyze Savings Levels and Shocks, Aggregate Over All Others, and do various other calculations.

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

MEAN(VAL(A,Z)), MEAN(AP(A,Z)), MEAN(C(A,Z))

Tabulate value and policies along savings and shocks:

% Set
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [1,4,5,6,3,2];
% Value Function
tb_az_v = ff_summ_nd_array("MEAN(VAL(A,Z))", V_VFI, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

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

      1               0     -121.95       -119.04       -115.79       -112.34       -108.82       -105.33       -101.92       -98.623        -95.45        -92.409        -89.501        -86.723        -84.073        -81.543         -79.13        -76.827        -74.629        -72.528        -70.521        -68.601        -66.763        -65.003        -63.314        -61.693        -60.135        -58.636        -57.194        -55.803        -54.462        -53.167        -51.916        -50.707        -49.536        -48.403        -47.306        -46.243        -45.213        -44.213        -43.244        -42.303        -41.389        -40.503        -39.642        -38.806        -37.994        -37.206         -36.44        -35.696        -34.974        -34.272        -33.591         -32.93        -32.289        -31.666        -31.062        -30.477        -29.909        -29.359        -28.826        -28.309         -27.81        -27.326        -26.859        -26.406         -25.97        -25.548         -25.14        -24.748        -24.369        -24.004        -23.653        -23.316        -22.992        -22.681        -22.384        -22.102        -21.835        -21.586        -21.359        -21.159        -20.992        -118.83        -116.17        -113.15        -109.91        -106.59        -103.28        -100.03        -96.887        -93.855        -90.943        -88.153        -85.484        -82.933        -80.494        -78.163        -75.936        -73.806        -71.768        -69.817         -67.948         -66.157         -64.438         -62.787           -61.2         -59.674         -58.203         -56.785         -55.418         -54.097          -52.82         -51.585         -50.391         -49.234         -48.112         -47.026         -45.972          -44.95         -43.958         -42.995          -42.06         -41.152          -40.27         -39.413         -38.581         -37.773         -36.987         -36.224         -35.482         -34.762         -34.062         -33.383         -32.723         -32.083         -31.462         -30.859         -30.274         -29.708         -29.158         -28.626          -28.11         -27.611         -27.128         -26.661         -26.209         -25.773         -25.352         -24.945         -24.552         -24.174          -23.81         -23.459         -23.122         -22.798         -22.488         -22.191         -21.909         -21.642         -21.393         -21.166         -20.967           -20.8         -114.94         -112.44         -109.58          -106.5         -103.34         -100.18         -97.085         -94.081         -91.185         -88.404         -85.739          -83.19         -80.753         -78.423         -76.195         -74.066         -72.028         -70.078          -68.21         -66.419         -64.701         -63.051         -61.465         -59.939         -58.468          -57.05         -55.681         -54.359          -53.08         -51.842         -50.644         -49.482         -48.356         -47.263         -46.202         -45.172         -44.171         -43.199         -42.254         -41.335         -40.442         -39.574         -38.729         -37.908          -37.11         -36.334         -35.579         -34.845         -34.132         -33.439         -32.765         -32.111         -31.476         -30.859         -30.261          -29.68         -29.117         -28.571         -28.041         -27.529         -27.032         -26.552         -26.087         -25.638         -25.204         -24.784         -24.379         -23.989         -23.612         -23.249           -22.9         -22.564         -22.242         -21.933         -21.637         -21.356          -21.09         -20.842         -20.616         -20.417         -20.251         -110.26         -107.84         -105.08         -102.11         -99.051         -96.003         -93.016         -90.121         -87.333         -84.658         -82.098         -79.652         -77.315         -75.084         -72.954         -70.919         -68.974         -67.113         -65.333         -63.627         -61.991          -60.42         -58.911         -57.459          -56.06          -54.71         -53.407         -52.148         -50.929         -49.749         -48.606         -47.496          -46.42         -45.374         -44.358          -43.37          -42.41         -41.476         -40.567         -39.683         -38.822         -37.984         -37.169         -36.375         -35.603         -34.851          -34.12         -33.408         -32.716         -32.042         -31.388         -30.751         -30.133         -29.532         -28.949         -28.382         -27.833           -27.3         -26.783         -26.282         -25.797         -25.327         -24.872         -24.432         -24.007         -23.596           -23.2         -22.817         -22.448         -22.092         -21.749          -21.42         -21.103           -20.8          -20.51         -20.233         -19.972         -19.728         -19.506          -19.31         -19.147         -103.16          -100.8         -98.113         -95.223         -92.258         -89.306         -86.418         -83.623         -80.936         -78.363         -75.905          -73.56         -71.325         -69.195         -67.165          -65.23         -63.384         -61.622         -59.939          -58.33         -56.791         -55.315           -53.9          -52.54         -51.233         -49.974          -48.76         -47.588         -46.456         -45.361         -44.301         -43.274         -42.278         -41.312         -40.374         -39.462         -38.577         -37.716         -36.879         -36.065         -35.273         -34.502         -33.752         -33.022         -32.312         -31.622         -30.949         -30.295         -29.659          -29.04         -28.439         -27.854         -27.285         -26.733         -26.197         -25.676          -25.17         -24.679         -24.203         -23.742         -23.294         -22.861         -22.441         -22.035         -21.642         -21.262         -20.895         -20.541         -20.199         -19.869          -19.55         -19.244          -18.95         -18.667         -18.396         -18.139         -17.894         -17.667         -17.458         -17.275         -17.122   
      2      0.00051498     -121.79        -118.9       -115.66       -112.23       -108.72       -105.24       -101.84       -98.552       -95.386        -92.351        -89.449        -86.676         -84.03        -81.505        -79.095        -76.795        -74.599        -72.501        -70.496        -68.578        -66.742        -64.983        -63.295        -61.675        -60.118        -58.621        -57.179        -55.789        -54.448        -53.154        -51.903        -50.694        -49.524        -48.392        -47.295        -46.232        -45.202        -44.203        -43.233        -42.292        -41.379        -40.493        -39.632        -38.796        -37.984        -37.196         -36.43        -35.686        -34.964        -34.263        -33.582        -32.921        -32.279        -31.657        -31.053        -30.467          -29.9         -29.35        -28.816          -28.3        -27.801        -27.317        -26.849        -26.397        -25.961        -25.539        -25.132        -24.739         -24.36        -23.995        -23.644        -23.307        -22.983        -22.672        -22.375        -22.093        -21.826        -21.577         -21.35         -21.15        -20.983        -118.72        -116.07        -113.05        -109.82        -106.51        -103.21        -99.972        -96.831        -93.804        -90.897        -88.111        -85.446        -82.898        -80.462        -78.134        -75.909        -73.781        -71.745        -69.795         -67.928         -66.138         -64.421         -62.771         -61.185         -59.659         -58.189         -56.772         -55.405         -54.084         -52.808         -51.574          -50.38         -49.223         -48.102         -47.016         -45.962          -44.94         -43.948         -42.986         -42.051         -41.143         -40.261         -39.404         -38.572         -37.764         -36.978         -36.215         -35.474         -34.753         -34.054         -33.375         -32.715         -32.075         -31.454         -30.851         -30.266         -29.699          -29.15         -28.618         -28.102         -27.603          -27.12         -26.653         -26.201         -25.765         -25.343         -24.937         -24.544         -24.166         -23.802         -23.451         -23.114          -22.79          -22.48         -22.183         -21.901         -21.634         -21.385         -21.158         -20.959         -20.792         -114.84         -112.36         -109.51         -106.44         -103.28         -100.13         -97.038         -94.038         -91.147         -88.369         -85.708         -83.161         -80.726         -78.399         -76.173         -74.045          -72.01         -70.061         -68.194         -66.404         -64.687         -63.038         -61.453         -59.927         -58.457          -57.04         -55.671         -54.349         -53.071         -51.833         -50.635         -49.474         -48.347         -47.255         -46.194         -45.164         -44.163         -43.191         -42.246         -41.328         -40.435         -39.567         -38.722         -37.901         -37.103         -36.327         -35.572         -34.838         -34.125         -33.432         -32.759         -32.105          -31.47         -30.853         -30.254         -29.674          -29.11         -28.564         -28.035         -27.523         -27.026         -26.546         -26.081         -25.631         -25.197         -24.778         -24.373         -23.982         -23.606         -23.243         -22.894         -22.558         -22.236         -21.927         -21.631          -21.35         -21.084         -20.836          -20.61         -20.411         -20.245         -110.17         -107.77         -105.01         -102.05         -98.997         -95.954         -92.973         -90.082         -87.298         -84.627          -82.07         -79.626         -77.292         -75.063         -72.935         -70.901         -68.957         -67.098         -65.319         -63.614         -61.979         -60.409         -58.901         -57.449          -56.05         -54.701         -53.399          -52.14         -50.922         -49.742         -48.598         -47.489         -46.413         -45.367         -44.351         -43.364         -42.404          -41.47         -40.561         -39.677         -38.816         -37.978         -37.163          -36.37         -35.597         -34.845         -34.114         -33.402          -32.71         -32.037         -31.382         -30.746         -30.127         -29.527         -28.943         -28.377         -27.827         -27.294         -26.778         -26.277         -25.791         -25.322         -24.867         -24.427         -24.002         -23.591         -23.195         -22.812         -22.443         -22.087         -21.744         -21.415         -21.098         -20.795         -20.504         -20.228         -19.967         -19.723         -19.501         -19.305         -19.142         -103.08         -100.73         -98.046         -95.163         -92.206         -89.259         -86.376         -83.586         -80.903         -78.333         -75.878         -73.536         -71.303         -69.175         -67.147         -65.213         -63.369         -61.608         -59.927         -58.319          -56.78         -55.305          -53.89         -52.531         -51.224         -49.966         -48.752         -47.581         -46.449         -45.355         -44.295         -43.268         -42.272         -41.306         -40.368         -39.457         -38.571          -37.71         -36.873         -36.059         -35.267         -34.497         -33.747         -33.017         -32.307         -31.617         -30.944          -30.29         -29.654         -29.036         -28.434         -27.849         -27.281         -26.728         -26.192         -25.671         -25.165         -24.674         -24.198         -23.737          -23.29         -22.856         -22.437         -22.031         -21.638         -21.258         -20.891         -20.536         -20.194         -19.864         -19.546          -19.24         -18.945         -18.662         -18.392         -18.134          -17.89         -17.662         -17.454         -17.271         -17.118   
      3       0.0041199     -120.77       -117.99       -114.85       -111.49       -108.07       -104.65       -101.31       -98.074       -94.955        -91.963        -89.097        -86.358        -83.741        -81.242        -78.855        -76.576        -74.398        -72.317        -70.326         -68.42        -66.595        -64.846        -63.167        -61.555        -60.005        -58.513        -57.076        -55.691        -54.354        -53.064        -51.816         -50.61        -49.443        -48.312        -47.217        -46.156        -45.127        -44.129        -43.161        -42.222        -41.309        -40.424        -39.564        -38.729        -37.918         -37.13        -36.364        -35.621        -34.899        -34.198        -33.518        -32.857        -32.216        -31.593         -30.99        -30.404        -29.837        -29.287        -28.754        -28.238        -27.738        -27.255        -26.787        -26.335        -25.899        -25.477         -25.07        -24.677        -24.299        -23.934        -23.583        -23.246        -22.922        -22.611        -22.314        -22.032        -21.765        -21.516        -21.289        -21.089        -20.922        -117.96        -115.38        -112.43        -109.26        -106.01        -102.75        -99.557        -96.455        -93.462        -90.586        -87.828        -85.187        -82.661        -80.245        -77.934        -75.724         -73.61        -71.587        -69.649         -67.792          -66.01         -64.301         -62.658         -61.078         -59.558         -58.093          -56.68         -55.317             -54         -52.727         -51.495         -50.303         -49.149          -48.03         -46.945         -45.893         -44.872         -43.882          -42.92         -41.986         -41.079         -40.198         -39.342         -38.511         -37.703         -36.918         -36.155         -35.414         -34.694         -33.995         -33.316         -32.657         -32.017         -31.396         -30.793         -30.209         -29.642         -29.093         -28.561         -28.046         -27.547         -27.064         -26.597         -26.145         -25.709         -25.288         -24.881         -24.489          -24.11         -23.746         -23.396         -23.058         -22.735         -22.424         -22.128         -21.846         -21.579          -21.33         -21.103         -20.903         -20.737         -114.24         -111.82         -109.02            -106         -102.89         -99.777         -96.721         -93.752         -90.888         -88.134         -85.494         -82.967         -80.549         -78.236         -76.024         -73.907         -71.882         -69.943         -68.084         -66.302         -64.591         -62.948         -61.367         -59.846          -58.38         -56.966         -55.601         -54.282         -53.006          -51.77         -50.574         -49.414          -48.29         -47.198         -46.139          -45.11         -44.111         -43.139         -42.195         -41.278         -40.385         -39.518         -38.674         -37.853         -37.056          -36.28         -35.525         -34.792         -34.079         -33.387         -32.714          -32.06         -31.425         -30.808          -30.21         -29.629         -29.066         -28.521         -27.991         -27.479         -26.983         -26.502         -26.038         -25.588         -25.154         -24.735          -24.33          -23.94         -23.563           -23.2         -22.851         -22.516         -22.193         -21.884         -21.589         -21.308         -21.042         -20.794         -20.568         -20.369         -20.203         -109.61         -107.26         -104.56         -101.64         -98.637         -95.632         -92.684         -89.823         -87.065         -84.416          -81.88         -79.454         -77.136         -74.921         -72.804         -70.781         -68.847         -66.997         -65.225         -63.527         -61.897         -60.333         -58.829         -57.381         -55.986          -54.64          -53.34         -52.083         -50.867         -49.689         -48.548          -47.44         -46.365          -45.32         -44.306         -43.319          -42.36         -41.427         -40.519         -39.635         -38.775         -37.938         -37.123          -36.33         -35.558         -34.807         -34.075         -33.364         -32.672         -31.999         -31.345         -30.709          -30.09          -29.49         -28.907         -28.341         -27.791         -27.258         -26.742         -26.241         -25.756         -25.286         -24.832         -24.392         -23.967         -23.556          -23.16         -22.777         -22.408         -22.052          -21.71          -21.38         -21.063          -20.76          -20.47         -20.194         -19.932         -19.689         -19.466          -19.27         -19.107         -102.52         -100.24         -97.607         -94.773         -91.857         -88.948         -86.098         -83.336         -80.679         -78.132         -75.697         -73.372         -71.155          -69.04         -67.024         -65.101         -63.266         -61.514          -59.84         -58.238         -56.705         -55.235         -53.825          -52.47         -51.166          -49.91         -48.699          -47.53         -46.401         -45.308         -44.249         -43.224         -42.229         -41.264         -40.327         -39.417         -38.532         -37.672         -36.836         -36.022         -35.231         -34.461         -33.711         -32.982         -32.272         -31.582          -30.91         -30.256         -29.621         -29.002         -28.401         -27.816         -27.248         -26.696         -26.159         -25.638         -25.133         -24.642         -24.166         -23.705         -23.258         -22.825         -22.405         -21.999         -21.606         -21.226          -20.86         -20.505         -20.163         -19.833         -19.515         -19.209         -18.914         -18.631         -18.361         -18.103         -17.859         -17.631         -17.423          -17.24         -17.087   
      4        0.013905     -118.46       -115.89       -112.94       -109.77        -106.5       -103.24       -100.03       -96.916       -93.906         -91.01        -88.232         -85.57        -83.023        -80.586        -78.254        -76.024        -73.891        -71.848        -69.892        -68.018         -66.22        -64.495        -62.838        -61.245        -59.712        -58.235        -56.812        -55.438        -54.112         -52.83        -51.591        -50.392        -49.231        -48.107        -47.017         -45.96        -44.936        -43.941        -42.976        -42.039         -41.13        -40.247        -39.389        -38.555        -37.746        -36.959        -36.195        -35.453        -34.733        -34.033        -33.353        -32.693        -32.052        -31.431        -30.828        -30.243        -29.676        -29.127        -28.594        -28.078        -27.579        -27.096        -26.629        -26.177        -25.741        -25.319        -24.912         -24.52        -24.141        -23.777        -23.426        -23.089        -22.765        -22.455        -22.158        -21.875        -21.609         -21.36        -21.132        -20.933        -20.766        -116.19        -113.76        -110.96        -107.92        -104.78        -101.63         -98.54        -95.528        -92.616        -89.813         -87.12        -84.538        -82.065        -79.696        -77.428        -75.257        -73.177        -71.185        -69.274         -67.442         -65.683         -63.993         -62.367         -60.803         -59.297         -57.844         -56.443         -55.089         -53.781         -52.516         -51.291         -50.106         -48.957         -47.843         -46.763         -45.715         -44.698          -43.71         -42.752          -41.82         -40.916         -40.037         -39.183         -38.353         -37.546         -36.763         -36.001         -35.261         -34.543         -33.844         -33.166         -32.508         -31.869         -31.248         -30.646         -30.062         -29.496         -28.947         -28.416         -27.901         -27.402          -26.92         -26.453         -26.002         -25.566         -25.144         -24.738         -24.346         -23.968         -23.604         -23.253         -22.916         -22.593         -22.283         -21.986         -21.704         -21.437         -21.189         -20.962         -20.762         -20.595         -112.84         -110.54         -107.86         -104.95         -101.94         -98.914         -95.938         -93.042         -90.241         -87.545         -84.957         -82.475         -80.098         -77.821         -75.642         -73.554         -71.555         -69.638           -67.8         -66.037         -64.342         -62.713         -61.146         -59.636          -58.18         -56.775         -55.418         -54.106         -52.836         -51.607         -50.415          -49.26          -48.14         -47.052         -45.996          -44.97         -43.973         -43.005         -42.063         -41.147         -40.257         -39.391         -38.548         -37.729         -36.933         -36.158         -35.405         -34.673         -33.961         -33.269         -32.596         -31.943         -31.309         -30.693         -30.095         -29.515         -28.953         -28.407         -27.879         -27.367         -26.871         -26.391         -25.926         -25.477         -25.043         -24.624          -24.22         -23.829         -23.453          -23.09         -22.741         -22.406         -22.083         -21.775         -21.479         -21.198         -20.933         -20.685         -20.459          -20.26         -20.094          -108.3         -106.08         -103.49         -100.67         -97.763         -94.845         -91.974         -89.182         -86.485         -83.891         -81.402          -79.02         -76.739         -74.558         -72.472         -70.476         -68.566         -66.736         -64.983         -63.301         -61.687         -60.135         -58.642         -57.204         -55.818          -54.48         -53.187         -51.937         -50.726         -49.553         -48.415         -47.312          -46.24         -45.199         -44.187         -43.203         -42.246         -41.315         -40.409         -39.527         -38.668         -37.833         -37.019         -36.227         -35.456         -34.706         -33.976         -33.265         -32.574         -31.902         -31.248         -30.613         -29.995         -29.395         -28.812         -28.247         -27.698         -27.165         -26.649         -26.149         -25.664         -25.194          -24.74         -24.301         -23.876         -23.465         -23.069         -22.686         -22.318         -21.962          -21.62          -21.29         -20.974          -20.67          -20.38         -20.104         -19.843         -19.599         -19.377         -19.181         -19.018         -101.25         -99.081         -96.563         -93.833         -91.012         -88.189         -85.415         -82.722         -80.125         -77.631         -75.244         -72.961         -70.782         -68.701         -66.714         -64.817         -63.005         -61.274         -59.617         -58.032         -56.513         -55.055         -53.656          -52.31         -51.015         -49.767         -48.562         -47.399         -46.274         -45.186         -44.132          -43.11         -42.118         -41.156         -40.221         -39.313         -38.431         -37.573         -36.738         -35.926         -35.136         -34.367         -33.619         -32.891         -32.182         -31.493         -30.822         -30.169         -29.534         -28.916         -28.315         -27.731         -27.163         -26.611         -26.076         -25.555          -25.05          -24.56         -24.084         -23.623         -23.176         -22.743         -22.324         -21.918         -21.526         -21.146         -20.779         -20.425         -20.083         -19.753         -19.435         -19.129         -18.835         -18.552         -18.282         -18.024          -17.78         -17.552         -17.344         -17.161         -17.008   
      5        0.032959     -115.01       -112.69          -110       -107.08       -104.04       -100.99       -97.981       -95.041       -92.192        -89.442        -86.796        -84.254        -81.814        -79.474        -77.231         -75.08        -73.017        -71.039         -69.14        -67.317        -65.565        -63.881         -62.26        -60.699        -59.195        -57.744        -56.344        -54.991        -53.683        -52.418        -51.193        -50.007        -48.858        -47.744        -46.663        -45.615        -44.598         -43.61        -42.651        -41.719        -40.815        -39.935        -39.081        -38.251        -37.445        -36.661          -35.9         -35.16        -34.441        -33.743        -33.065        -32.407        -31.768        -31.148        -30.546        -29.962        -29.396        -28.847        -28.316        -27.801        -27.302         -26.82        -26.353        -25.902        -25.466        -25.045        -24.638        -24.246        -23.868        -23.504        -23.154        -22.817        -22.493        -22.183        -21.886        -21.604        -21.337        -21.089        -20.862        -20.662        -20.495        -113.41        -111.17        -108.57        -105.72        -102.76        -99.787        -96.846        -93.975         -91.19        -88.502        -85.914        -83.426        -81.039        -78.748        -76.551        -74.443         -72.42        -70.479        -68.616         -66.825         -65.103         -63.447         -61.852         -60.315         -58.833         -57.402          -56.02         -54.684         -53.392          -52.14         -50.929         -49.754         -48.615         -47.511         -46.439         -45.398         -44.388         -43.406         -42.453         -41.526         -40.626         -39.751         -38.901         -38.074          -37.27         -36.489          -35.73         -34.993         -34.276         -33.579         -32.903         -32.246         -31.608         -30.989         -30.388         -29.805          -29.24         -28.692         -28.161         -27.647         -27.149         -26.667         -26.201          -25.75         -25.315         -24.894         -24.488         -24.096         -23.719         -23.355         -23.005         -22.668         -22.345         -22.035         -21.738         -21.457          -21.19         -20.942         -20.715         -20.515         -20.349         -110.58         -108.44         -105.93         -103.18         -100.32         -97.439         -94.593         -91.813         -89.118         -86.516         -84.013         -81.607         -79.299         -77.084          -74.96         -72.923         -70.968         -69.091         -67.289         -65.558         -63.892         -62.289         -60.744         -59.254         -57.817         -56.428         -55.085         -53.786         -52.528         -51.309         -50.127         -48.981         -47.868         -46.787         -45.737         -44.717         -43.725         -42.761         -41.824         -40.912         -40.025         -39.162         -38.323         -37.506         -36.712          -35.94         -35.189         -34.458         -33.748         -33.058         -32.387         -31.735         -31.102         -30.487          -29.89         -29.311          -28.75         -28.205         -27.677         -27.166          -26.67         -26.191         -25.727         -25.279         -24.845         -24.427         -24.023         -23.632         -23.257         -22.894         -22.546          -22.21         -21.888          -21.58         -21.284         -21.004         -20.738         -20.491         -20.265         -20.066           -19.9         -106.21         -104.14         -101.71         -99.052         -96.289         -93.506         -90.758         -88.077         -85.479         -82.975         -80.566         -78.255         -76.039         -73.915          -71.88          -69.93         -68.061         -66.268         -64.547         -62.894         -61.305         -59.776         -58.303         -56.883         -55.513         -54.189         -52.909         -51.669         -50.468         -49.304         -48.175         -47.078         -46.013         -44.978         -43.971         -42.992         -42.039         -41.112         -40.209         -39.331         -38.475         -37.642         -36.831         -36.042         -35.273         -34.525         -33.796         -33.088         -32.398         -31.727         -31.075          -30.44         -29.824         -29.225         -28.643         -28.078          -27.53         -26.999         -26.483         -25.983         -25.499          -25.03         -24.577         -24.138         -23.713         -23.303         -22.907         -22.525         -22.157         -21.801         -21.459          -21.13         -20.814         -20.511         -20.221         -19.945         -19.684          -19.44         -19.218         -19.023         -18.859         -99.216         -97.202         -94.843         -92.268         -89.594         -86.904         -84.252         -81.668         -79.169         -76.764         -74.455         -72.243         -70.126         -68.101         -66.164         -64.312          -62.54         -60.843         -59.218         -57.661         -56.166          -54.73          -53.35         -52.022         -50.741         -49.506         -48.314         -47.161         -46.045         -44.965         -43.918         -42.903         -41.918         -40.961         -40.031         -39.127         -38.249         -37.394         -36.562         -35.753         -34.966           -34.2         -33.454         -32.728         -32.021         -31.333         -30.664         -30.012         -29.379         -28.762         -28.162         -27.579         -27.013         -26.462         -25.927         -25.407         -24.903         -24.413         -23.938         -23.478         -23.031         -22.599          -22.18         -21.775         -21.383         -21.003         -20.637         -20.283         -19.941         -19.612         -19.294         -18.988         -18.694         -18.412         -18.141         -17.884          -17.64         -17.413         -17.205         -17.022         -16.869   
      6        0.064373     -110.86        -108.8       -106.37       -103.71       -100.93       -98.126       -95.339       -92.607       -89.947        -87.372        -84.885        -82.488        -80.181        -77.962        -75.829        -73.778        -71.806        -69.909        -68.085        -66.329        -64.638        -63.008        -61.437         -59.92        -58.456        -57.041        -55.673        -54.349        -53.067        -51.825        -50.621        -49.454        -48.322        -47.223        -46.156         -45.12        -44.114        -43.136        -42.186        -41.262        -40.365        -39.492        -38.644         -37.82        -37.018        -36.239        -35.481        -34.745         -34.03        -33.335        -32.659        -32.004        -31.367        -30.749        -30.149        -29.566        -29.002        -28.455        -27.924        -27.411        -26.913        -26.432        -25.966        -25.516        -25.081         -24.66        -24.255        -23.863        -23.486        -23.122        -22.772        -22.435        -22.112        -21.802        -21.506        -21.224        -20.958         -20.71        -20.483        -20.283        -20.117        -109.83        -107.81        -105.43        -102.81        -100.07        -97.305        -94.556        ...

% Aprime Choice
tb_az_ap = ff_summ_nd_array("MEAN(AP(A,Z))", ap_VFI, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

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

      1               0             0             0             0             0             0             0    6.6403e-08    2.2567e-07     4.664e-07    9.0064e-07     1.2684e-06     1.7382e-06     2.0598e-06     2.2879e-06     2.4594e-06     2.4819e-06     4.5488e-06     1.5081e-05     3.8977e-05     0.00010372      0.0002093     0.00038205     0.00063964      0.0010015      0.0014827      0.0020775      0.0028441      0.0037578      0.0049124      0.0062996      0.0078774      0.0097728      0.011912       0.014377       0.017164       0.020434         0.0241       0.028288       0.033083       0.038392       0.044516       0.051319       0.059019        0.06761       0.077227       0.087978       0.099912        0.11323        0.12804        0.14449        0.16272        0.18295         0.2055        0.23051        0.25818        0.28887        0.32272        0.36021        0.40122        0.44656        0.49624        0.55058        0.61012        0.67494         0.7454        0.82188         0.9047        0.99421        1.0909         1.1955         1.3083         1.4302         1.5618          1.704         1.8579         2.0244         2.2057         2.4041         2.6243         2.8732         3.1592                0              0              0              0              0              0     6.6403e-08     2.2567e-07      4.664e-07     9.0064e-07     1.2684e-06     1.7382e-06     2.0598e-06     2.2879e-06     2.4594e-06     2.4819e-06     4.5488e-06     1.5081e-05      3.8977e-05      0.00010372       0.0002093      0.00038205      0.00063964      0.0010015       0.0014852       0.0020859       0.0028776       0.0038299       0.0050167       0.0064188       0.0080394       0.0099317        0.012196        0.014658        0.017631        0.021013        0.024809        0.029229        0.034162        0.039797         0.04612        0.053225        0.061283        0.070184        0.080219        0.091386        0.10381         0.11764           0.133          0.1501         0.16908         0.19012          0.2134         0.23929         0.26791         0.29952         0.33422         0.37249         0.41446         0.46057         0.51094         0.56603         0.62605         0.69135         0.76214           0.839         0.92209          1.0119          1.1088          1.2137          1.3268           1.449          1.5808          1.7233          1.8773           2.044          2.2254          2.4241          2.6445          2.8935          3.1796          0.01654        0.016725        0.016809        0.016823        0.016797         0.01675        0.016691        0.016619        0.016541        0.016458        0.016364        0.016258        0.016158        0.016056        0.015937        0.015818        0.015708        0.015612         0.01555        0.015507        0.015536        0.015679        0.015912        0.016288        0.016796        0.017521        0.018457        0.019648         0.02113        0.022893         0.02493         0.02735         0.03016          0.0334        0.037197        0.041497        0.046394        0.051973        0.058293        0.065368          0.0733        0.082168        0.092073          0.103         0.11519         0.12867         0.14358         0.16002         0.17813         0.19808         0.21999         0.24405         0.27037         0.29924         0.33074          0.3652          0.4027         0.44358         0.48799         0.53634         0.58885         0.64563          0.7073         0.77396         0.84612         0.92412          1.0084          1.0994          1.1974          1.3034          1.4175          1.5407          1.6735          1.8169          1.9718          2.1394          2.3218          2.5214          2.7426          2.9925          3.2799         0.27584         0.27805         0.28006         0.28194         0.28377         0.28555         0.28732         0.28911         0.29091         0.29274          0.2946         0.29651         0.29847         0.30047          0.3025         0.30456         0.30665          0.3088         0.31104         0.31336         0.31584         0.31844         0.32123         0.32421         0.32745         0.33086         0.33461         0.33874         0.34333         0.34834         0.35375         0.35963         0.36604         0.37288         0.38037         0.38856         0.39735         0.40675          0.4171         0.42814         0.44023         0.45344         0.46785         0.48323          0.4998         0.51784         0.53724         0.55843         0.58116         0.60585         0.63236         0.66093         0.69216         0.72583         0.76175         0.80051         0.84257         0.88815         0.93688         0.98914          1.0461          1.1072           1.173          1.2435          1.3198           1.402          1.4901          1.5852          1.6875          1.7973          1.9156           2.043          2.1796          2.3272          2.4861          2.6579          2.8442          3.0481          3.2732          3.5276           3.819          1.7419          1.7539           1.766          1.7779            1.79          1.8022          1.8142          1.8264          1.8388          1.8515          1.8641          1.8772          1.8902          1.9034          1.9166          1.9301          1.9436          1.9576          1.9716          1.9859          2.0004          2.0152          2.0305           2.046          2.0619          2.0784           2.095          2.1122          2.1298          2.1479          2.1666          2.1858          2.2059          2.2264          2.2478          2.2702          2.2933          2.3173          2.3423          2.3679          2.3946          2.4225          2.4519          2.4826          2.5144          2.5479          2.5829          2.6197          2.6583          2.6988          2.7413          2.7862          2.8333          2.8831          2.9358          2.9917          3.0502           3.112          3.1778          3.2476          3.3216          3.3997          3.4825          3.5711           3.665          3.7645          3.8707          3.9834          4.1036          4.2323          4.3688          4.5138          4.6697          4.8366          5.0134          5.2053          5.4108          5.6343          5.8802           6.153          6.4676   
      2      0.00051498             0             0             0    3.2355e-07    8.8303e-07    1.3402e-06    1.6853e-06    1.9895e-06    2.2445e-06    2.3681e-06     2.4704e-06     2.4819e-06     2.4819e-06     2.4819e-06     2.5464e-06     2.9174e-06     6.5411e-06     2.1961e-05     4.6937e-05     0.00011661     0.00022334     0.00040179     0.00066115      0.0010268      0.0015118       0.002113      0.0028843      0.0038034       0.004964      0.0063574      0.0079412      0.0098402      0.011988       0.014459       0.017252        0.02053       0.024199       0.028396       0.033196       0.038512        0.04464       0.051447       0.059158        0.06775       0.077373       0.088131        0.10007        0.11339        0.12822        0.14467         0.1629        0.18314        0.20569        0.23071        0.25839        0.28909        0.32294        0.36044        0.40145         0.4468        0.49649        0.55083        0.61037        0.67521        0.74567        0.82216        0.90498        0.99449        1.0912         1.1958         1.3085         1.4305          1.562         1.7043         1.8582         2.0247          2.206         2.4044         2.6246         2.8735         3.1595                0              0              0     3.2355e-07     8.8303e-07     1.3402e-06     1.6853e-06     1.9895e-06     2.2445e-06     2.3681e-06     2.4704e-06     2.4819e-06     2.4819e-06     2.4819e-06     2.5464e-06     2.9174e-06     6.5411e-06     2.1961e-05      4.6937e-05      0.00011661      0.00022334      0.00040179      0.00066115      0.0010268       0.0015143       0.0021214       0.0029182       0.0038763       0.0050684       0.0064767       0.0081031            0.01        0.012271         0.01474        0.017722        0.021109        0.024912         0.02934        0.034279        0.039921        0.046246        0.053358        0.061424        0.070329         0.08037        0.091544        0.10398         0.11781         0.13318         0.15028         0.16927         0.19032         0.21361          0.2395         0.26813         0.29974         0.33445         0.37273          0.4147         0.46082          0.5112         0.56629         0.62631         0.69162         0.76241         0.83928         0.92237          1.0122          1.1091           1.214          1.3271          1.4493          1.5811          1.7235          1.8775          2.0443          2.2257          2.4244          2.6448          2.8938          3.1799          0.01664        0.016826        0.016909        0.016924        0.016898        0.016852        0.016795        0.016724        0.016647        0.016567        0.016475        0.016369        0.016271        0.016169        0.016053        0.015935        0.015828        0.015739        0.015676        0.015637        0.015669        0.015815        0.016046        0.016426        0.016936        0.017667        0.018612         0.01981        0.021296        0.023062        0.025104        0.027531         0.03035        0.033594        0.037398         0.04171        0.046607        0.052195        0.058521        0.065601        0.073534        0.082407        0.092317        0.10324         0.11544         0.12893         0.14384         0.16029          0.1784         0.19835         0.22027         0.24432         0.27065         0.29953         0.33103          0.3655         0.40299         0.44388         0.48829         0.53664         0.58916         0.64593         0.70761         0.77427         0.84642         0.92443          1.0087          1.0997          1.1977          1.3037          1.4178          1.5411          1.6738          1.8172          1.9721          2.1398          2.3221          2.5217          2.7429          2.9929          3.2802         0.27605         0.27826         0.28026         0.28215         0.28397         0.28576         0.28753         0.28932         0.29112         0.29295         0.29481         0.29672         0.29868         0.30068         0.30271         0.30477         0.30686         0.30901         0.31125         0.31358         0.31605         0.31867         0.32146         0.32444         0.32768          0.3311         0.33485         0.33899          0.3436         0.34861         0.35402         0.35991         0.36633         0.37317         0.38067         0.38886         0.39766         0.40706         0.41741         0.42846         0.44055         0.45377         0.46818         0.48356         0.50014         0.51818         0.53758         0.55877          0.5815         0.60621         0.63271         0.66129         0.69252         0.72618          0.7621         0.80087         0.84293         0.88851         0.93724          0.9895          1.0465          1.1075          1.1734          1.2438          1.3202          1.4024          1.4905          1.5856          1.6878          1.7977           1.916          2.0434          2.1799          2.3275          2.4864          2.6582          2.8445          3.0484          3.2736           3.528          3.8193          1.7421          1.7541          1.7662          1.7782          1.7902          1.8024          1.8144          1.8266          1.8391          1.8517          1.8644          1.8774          1.8904          1.9036          1.9168          1.9303          1.9439          1.9578          1.9718          1.9862          2.0007          2.0155          2.0307          2.0463          2.0622          2.0787          2.0953          2.1125          2.1301          2.1482          2.1669          2.1861          2.2062          2.2267          2.2482          2.2705          2.2936          2.3177          2.3426          2.3682          2.3949          2.4229          2.4523          2.4829          2.5147          2.5482          2.5832          2.6201          2.6587          2.6991          2.7416          2.7866          2.8336          2.8835          2.9362          2.9921          3.0506          3.1124          3.1782           3.248           3.322             3.4          3.4828          3.5715          3.6654          3.7649          3.8711          3.9838          4.1039          4.2327          4.3692          4.5142          4.6701           4.837          5.0138          5.2057          5.4112          5.6347          5.8806          6.1533           6.468   
      3       0.0041199    2.3328e-05    4.6809e-05    7.1592e-05    8.2019e-05    8.3298e-05     7.997e-05    7.4481e-05    6.8506e-05    6.2775e-05     6.066e-05     6.0104e-05     6.0482e-05     6.1518e-05     6.3608e-05     6.8864e-05     7.9285e-05      9.759e-05     0.00011834     0.00015922     0.00023581     0.00036826     0.00057213     0.00085061      0.0012447      0.0017571      0.0023989      0.0032094      0.0041598      0.0053726      0.0068087      0.0084301       0.010359      0.012564       0.015067       0.017893        0.02123       0.024925       0.029165       0.034004       0.039374       0.045536       0.052381       0.060135       0.068766       0.078423       0.089207        0.10119        0.11457        0.12944        0.14592        0.16418        0.18449        0.20706        0.23212        0.25986        0.29059        0.32451        0.36204        0.40311        0.44851        0.49825        0.55261         0.6122        0.67709        0.74756         0.8241        0.90691        0.99643        1.0932         1.1978         1.3105         1.4325          1.564         1.7063         1.8602         2.0267          2.208         2.4064         2.6266         2.8755         3.1615       2.3328e-05     4.6809e-05     7.1592e-05     8.2019e-05     8.3298e-05      7.997e-05     7.4481e-05     6.8506e-05     6.2775e-05      6.066e-05     6.0104e-05     6.0482e-05     6.1518e-05     6.3608e-05     6.8864e-05     7.9285e-05      9.759e-05     0.00011834      0.00015922      0.00023581      0.00036826      0.00057213      0.00085061      0.0012447       0.0017609       0.0024086       0.0032484       0.0042387       0.0054811       0.0069332       0.0085907        0.010532        0.012848         0.01536        0.018387        0.021816        0.025674        0.030127        0.035116        0.040812        0.047162        0.054334        0.062435         0.07139         0.08146        0.092665        0.10515         0.11903         0.13444         0.15158         0.17063         0.19171         0.21504         0.24096         0.26966          0.3013         0.33605         0.37438         0.41641         0.46256         0.51303         0.56812         0.62816         0.69353         0.76433         0.84122          0.9243          1.0141          1.1111           1.216          1.3291          1.4513          1.5831          1.7255          1.8796          2.0463          2.2277          2.4264          2.6468          2.8958           3.182         0.017363        0.017573        0.017686        0.017712        0.017692        0.017645        0.017584        0.017511        0.017435        0.017363        0.017278        0.017191        0.017106        0.017013        0.016915        0.016824         0.01674        0.016675        0.016632        0.016596        0.016659        0.016807        0.017056        0.017443         0.01798        0.018747        0.019748        0.020988        0.022514        0.024296        0.026374        0.028838        0.031722        0.035012        0.038854        0.043225        0.048151        0.053769        0.060131        0.067255        0.075204        0.084118        0.094043        0.10502         0.11725         0.13075         0.14568         0.16218         0.18031         0.20027         0.22221          0.2463         0.27265         0.30152         0.33307         0.36755         0.40506         0.44598          0.4904         0.53874         0.59132         0.64804         0.70977         0.77645          0.8486         0.92662          1.0109          1.1019          1.1999          1.3059            1.42          1.5433          1.6761          1.8194          1.9744           2.142          2.3243          2.5239          2.7451          2.9951          3.2824         0.27753         0.27975         0.28179         0.28369         0.28551         0.28729         0.28905         0.29084         0.29264         0.29447         0.29634         0.29825          0.3002         0.30221         0.30424          0.3063          0.3084         0.31054          0.3128         0.31514         0.31764         0.32029         0.32309         0.32612         0.32937         0.33284         0.33663         0.34083         0.34548         0.35054         0.35599         0.36193         0.36839         0.37525         0.38278         0.39102         0.39983         0.40926          0.4196         0.43074         0.44283          0.4561          0.4705          0.4859         0.50252         0.52057         0.54001          0.5612         0.58395         0.60868         0.63518         0.66381         0.69501         0.72867         0.76461         0.80336         0.84545         0.89103         0.93974         0.99203           1.049          1.1101          1.1759          1.2464          1.3228           1.405           1.493          1.5881          1.6904          1.8003          1.9185          2.0459          2.1825          2.3301           2.489          2.6608          2.8471           3.051          3.2762          3.5306          3.8219          1.7438          1.7558          1.7679          1.7799           1.792          1.8041          1.8161          1.8283          1.8408          1.8534          1.8661          1.8791          1.8921          1.9053          1.9185           1.932          1.9456          1.9595          1.9736          1.9879          2.0024          2.0173          2.0325          2.0481          2.0641          2.0806          2.0972          2.1145          2.1322          2.1503           2.169          2.1883          2.2084          2.2289          2.2504          2.2728          2.2959            2.32           2.345          2.3706          2.3973          2.4253          2.4548          2.4854          2.5172          2.5507          2.5858          2.6226          2.6613          2.7017          2.7442          2.7892          2.8362          2.8861          2.9388          2.9947          3.0532           3.115          3.1808          3.2506          3.3247          3.4027          3.4855          3.5741           3.668          3.7675          3.8738          3.9864          4.1066          4.2354          4.3718          4.5168          4.6728          4.8396          5.0165          5.2083          5.4138          5.6374          5.8832           6.156          6.4707   
      4        0.013905     0.0013551     0.0014087     0.0014521     0.0014783     0.0014876     0.0014875     0.0014835     0.0014784     0.0014732     0.0014679      0.0014607       0.001452       0.001442      0.0014321      0.0014248      0.0014229      0.0014305      0.0014486      0.0014845      0.0015829      0.0017423      0.0019887       0.002326      0.0027622       0.003305      0.0040103      0.0048716      0.0058997       0.007161      0.0086531       0.010369       0.012345      0.014634       0.017195       0.020123       0.023538       0.027278       0.031637       0.036539       0.042016       0.048254       0.055172       0.063015       0.071732        0.08147       0.092393        0.10446        0.11795         0.1329        0.14948        0.16789        0.18829        0.21097        0.23617        0.26408        0.29489        0.32895        0.36654        0.40784        0.45336        0.50322        0.55772         0.6174        0.68231        0.75292        0.82948         0.9123         1.0019        1.0987         1.2032         1.3161          1.438         1.5697         1.7118         1.8658         2.0323         2.2136          2.412         2.6322         2.8811         3.1671        0.0013551      0.0014087      0.0014521      0.0014783      0.0014876      0.0014875      0.0014835      0.0014784      0.0014732      0.0014679      0.0014607       0.001452       0.001442      0.0014321      0.0014248      0.0014229      0.0014305      0.0014486       0.0014845       0.0015829       0.0017423       0.0019887        0.002326      0.0027626       0.0033134       0.0040298       0.0049257       0.0060018       0.0072759       0.0088079        0.010526         0.01258        0.014918        0.017549        0.020665        0.024149        0.028103         0.03266        0.037728        0.043527        0.049947        0.057248        0.065385        0.074456        0.084645        0.095962        0.10851         0.12254         0.13799         0.15528         0.17446         0.19563         0.21914         0.24518           0.274         0.30571          0.3406         0.37905         0.42129         0.46751         0.51816         0.57333         0.63341         0.69882         0.76974         0.84664         0.92968          1.0196          1.1166          1.2215          1.3346          1.4568          1.5886          1.7311          1.8852          2.0519          2.2333           2.432          2.6524          2.9014          3.1876          0.02077         0.02104        0.021185        0.021233        0.021219        0.021171        0.021105        0.021034        0.020957        0.020866        0.020772        0.020684        0.020589        0.020492        0.020404        0.020325         0.02027        0.020242        0.020204        0.020241        0.020365        0.020579         0.02093        0.021371           0.022        0.022832        0.023879        0.025104        0.026612        0.028419        0.030591        0.033109        0.036059        0.039458        0.043377        0.047861        0.052841        0.058546        0.064951         0.07215         0.08017        0.089155        0.099111        0.11019         0.12247         0.13604         0.15104          0.1676         0.18575         0.20579         0.22781         0.25192         0.27835         0.30728         0.33891          0.3734         0.41094          0.4519         0.49641         0.54477         0.59739         0.65411         0.71592         0.78261         0.85478         0.93281           1.017          1.1081          1.2061          1.3121          1.4263          1.5495          1.6824          1.8257          1.9806          2.1483          2.3306          2.5302          2.7514          3.0014          3.2887         0.28285         0.28508         0.28714         0.28905         0.29089         0.29267         0.29445         0.29623         0.29805         0.29989         0.30175         0.30366          0.3056         0.30759         0.30956         0.31159         0.31365          0.3158         0.31803         0.32045         0.32297         0.32566         0.32854         0.33161         0.33486         0.33841         0.34233         0.34663         0.35135         0.35647           0.362         0.36804          0.3745         0.38143         0.38902         0.39731         0.40614         0.41572         0.42594          0.4373         0.44938         0.46272          0.4771         0.49251         0.50924         0.52733          0.5468         0.56803         0.59079          0.6156          0.6421         0.67075         0.70197         0.73565         0.77161         0.81033         0.85251         0.89805         0.94677         0.99912          1.0561          1.1172           1.183          1.2535          1.3299          1.4121          1.5001          1.5953          1.6976          1.8074          1.9257           2.053          2.1898          2.3373          2.4962           2.668          2.8543          3.0581          3.2834          3.5377          3.8291          1.7495          1.7616          1.7737          1.7857          1.7978          1.8099           1.822          1.8342          1.8466          1.8593          1.8719          1.8849           1.898           1.911          1.9243          1.9378          1.9514          1.9653          1.9794          1.9938          2.0083          2.0232          2.0385           2.054          2.0701          2.0866          2.1033          2.1208          2.1384          2.1566          2.1754          2.1947          2.2149          2.2355           2.257          2.2795          2.3026          2.3268          2.3518          2.3775          2.4042          2.4323          2.4617          2.4924          2.5242          2.5578          2.5929          2.6298          2.6684          2.7088          2.7514          2.7964          2.8434          2.8933          2.9462          3.0019          3.0605          3.1223          3.1882           3.258           3.332            3.41          3.4929          3.5814          3.6754          3.7749          3.8811          3.9938          4.1139          4.2428          4.3792          4.5242          4.6802          4.8469          5.0238          5.2156          5.4212          5.6448          5.8906          6.1634          6.4781   
      5        0.032959     0.0056972     0.0058797     0.0060165     0.0060906     0.0061057     0.0060871     0.0060528     0.0060131     0.0059743     0.0059377      0.0059075      0.0058835      0.0058649      0.0058515      0.0058451      0.0058482      0.0058668      0.0059182      0.0059979       0.006115      0.0063281       0.006595      0.0070111       0.007506      0.0081394       0.008923      0.0098492       0.010998       0.012367       0.013896       0.015725       0.017776      0.020135       0.022774       0.025886       0.029351       0.033264       0.037742       0.042723       0.048372       0.054717       0.061794       0.069799        0.07864       0.088599       0.099641        0.11185        0.12548        0.14061         0.1574        0.17608        0.19667        0.21956        0.24496        0.27314        0.30422        0.33851        0.37631        0.41799        0.46373        0.51376        0.56856        0.62841        0.69349         0.7642        0.84086        0.92374         1.0134        1.1102         1.2148         1.3278         1.4496         1.5815         1.7237         1.8776          2.044         2.2253         2.4238         2.6441         2.8929         3.1789        0.0056972      0.0058797      0.0060165      0.0060906      0.0061057      0.0060871      0.0060528      0.0060131      0.0059743      0.0059377      0.0059075      0.0058835      0.0058649      0.0058515      0.0058451      0.0058482      0.0058668      0.0059182       0.0059979        0.006115       0.0063281        0.006595       0.0070114      0.0075144       0.0081568       0.0089712       0.0099405        0.011113        0.012505        0.014066        0.015912        0.018086        0.020451        0.023276        0.026493        0.030083        0.034232        0.038855        0.044124        0.050008        0.056566        0.064051        0.072352        0.081576        0.091959         0.10339        0.11613         0.13033         0.14605         0.16347         0.18288         0.20432         0.22806          0.2543         0.28331         0.31529         0.35046         0.38914         0.43165         0.47808         0.52895         0.58434         0.64462         0.71011         0.78109         0.85805         0.94118          1.0311          1.1282          1.2331          1.3462          1.4685          1.6004          1.7429          1.8969          2.0637          2.2451          2.4438          2.6643          2.9133          3.1995         0.029615        0.030034        0.030285        0.030384        0.030369        0.030301        0.030201        0.030086        0.029968        0.029856        0.029744        0.029633         0.02953        0.029431        0.029339        0.029278        0.029229          0.0292         0.02923        0.029319        0.029532        0.029839        0.030281        0.030866         0.03161        0.032564        0.033706        0.035114        0.036795        0.038765        0.041044        0.043683        0.046676        0.050168        0.054146        0.058649        0.063786        0.069591        0.076118        0.083367        0.091499         0.10055         0.11061        0.12174          0.1341         0.14775         0.16278          0.1794         0.19773         0.21781         0.23996         0.26417         0.29068         0.31973         0.35142         0.38598         0.42362         0.46461         0.50929         0.55769         0.61027         0.66712         0.72899         0.79574         0.86788         0.94599          1.0303          1.1213          1.2195          1.3254          1.4396          1.5628          1.6957           1.839           1.994          2.1617          2.3439          2.5436          2.7648          3.0148           3.302         0.29487         0.29725         0.29941         0.30138          0.3032         0.30496         0.30674          0.3085         0.31028         0.31211         0.31398         0.31585         0.31775         0.31964         0.32158          0.3236         0.32573         0.32794         0.33027         0.33269         0.33527           0.338         0.34095         0.34405         0.34743         0.35114          0.3552         0.35963         0.36447         0.36966         0.37531         0.38138         0.38778         0.39493         0.40257         0.41085         0.41974          0.4294         0.43978         0.45115         0.46327         0.47668         0.49115         0.50663         0.52342         0.54141         0.56096         0.58226         0.60513         0.62987         0.65644          0.6852         0.71648         0.75004          0.7861         0.82484         0.86704         0.91264         0.96136          1.0138          1.0707          1.1319          1.1976          1.2682          1.3447          1.4269          1.5148          1.6101          1.7124          1.8222          1.9405          2.0678          2.2046          2.3522           2.511          2.6829          2.8691          3.0728          3.2983          3.5526           3.844          1.7624          1.7748          1.7868          1.7989           1.811           1.823          1.8351          1.8473          1.8597          1.8723          1.8851          1.8979           1.911          1.9241          1.9374          1.9508          1.9645          1.9784          1.9925          2.0069          2.0215          2.0364          2.0518          2.0674          2.0837          2.1002          2.1169          2.1345          2.1521          2.1704          2.1892          2.2088          2.2289          2.2496          2.2712          2.2938          2.3169          2.3412          2.3662           2.392          2.4187          2.4469          2.4764           2.507          2.5389          2.5725          2.6077          2.6446          2.6832          2.7236          2.7663          2.8113          2.8584          2.9083          2.9612           3.017          3.0755          3.1373          3.2033          3.2732          3.3471           3.425           3.508          3.5965          3.6906            3.79          3.8963          4.0091          4.1292          4.2581          4.3944          4.5393          4.6954          4.8621           5.039          5.2308          5.4363          5.6601          5.9059          6.1787          6.4934   
      6        0.064373        0.0156      0.015941      0.016146      0.016236      0.016247      0.016208      0.016136      0.016049      0.015955      0.015855       0.015757       0.015667       0.015585       0.015516       0.015469       0.015454       0.015477        0.01554       0.015647        0.01581       0.016098       0.016449        0.01694       0.017554       0.018267       0.019153       0.020238       0.021509        0.02295       0.024632       0.026558        0.02875      0.031181       0.034051       0.037265       0.040843       0.044966       0.049571       0.054755       0.060621       0.067102       0.074491       0.082646       0.091746        0.10196         0.1132        0.12573        0.13967        0.15506        0.17212        0.19113        0.21211        0.23535        0.26106        0.28964        0.32114        0.35586        0.39413        0.43612        0.48225        0.53272        0.58801        0.64806        0.71331         0.7842        0.86089        0.94389         1.0336        1.1306         1.2354         1.3483         1.4703          1.602         1.7444         1.8983         2.0648          2.246         2.4446         2.6649         2.9138         3.1997         0.015799       0.016137       0.016327         0.0164       0.016392       0.016335       0.016248       0...

% Consumption Choices
tb_az_c = ff_summ_nd_array("MEAN(C(A,Z))", cons_VFI, true, ["mean"], 4, 1, cl_mp_datasetdesc, ar_permute);

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

      1               0     0.13344       0.13578       0.13828       0.14094       0.14377       0.14679          0.15       0.15342       0.15706        0.16094        0.16507        0.16947        0.17415        0.17913        0.18443        0.19008        0.19609        0.20248        0.20927        0.21646        0.22408        0.23213        0.24062        0.24958        0.25902        0.26898        0.27947        0.29053        0.30213        0.31433        0.32723        0.34075        0.35504        0.37008        0.38595        0.40256        0.42008        0.43849        0.45778        0.47815        0.49942        0.52184         0.5453        0.56997        0.59584        0.62295        0.65144        0.68127        0.71252        0.74526        0.77955        0.81541        0.85278        0.89176        0.93247        0.97482         1.019         1.0649         1.1131          1.163         1.2151         1.2696         1.3265          1.386         1.4485         1.5142         1.5834         1.6565         1.7335         1.8148         1.9008         1.9914         2.0871          2.188         2.2941         2.4056         2.5216         2.6414         2.7614         2.8763         2.9796         0.15136        0.15378        0.15636        0.15909          0.162        0.16509        0.16838        0.17187        0.17559        0.17954        0.18374        0.18821        0.19296        0.19801        0.20339        0.20911        0.21519        0.22165        0.22851         0.23577         0.24345         0.25157         0.26014         0.26917         0.27868         0.28871         0.29924         0.31034         0.32199         0.33426         0.34719         0.36079         0.37504         0.39017         0.40593         0.42252            0.44         0.45827         0.47752         0.49766         0.51883         0.54104         0.56426         0.58872         0.61428         0.64109          0.6692         0.69864         0.72946         0.76167         0.79533         0.83052         0.86727         0.90552          0.9454         0.98699          1.0305          1.0758          1.1231          1.1724           1.224          1.2779          1.3344          1.3936           1.456          1.5214          1.5905          1.6634          1.7404          1.8216          1.9074          1.9979          2.0936          2.1944          2.3006          2.4121          2.5282          2.6478          2.7678          2.8828          2.9861         0.21636         0.21901         0.22191         0.22505         0.22839         0.23194          0.2357         0.23968         0.24389         0.24833         0.25304         0.25803          0.2633         0.26887         0.27478         0.28103         0.28764         0.29462         0.30199         0.30978         0.31796         0.32653         0.33555         0.34499          0.3549         0.36525         0.37607         0.38737         0.39917         0.41152         0.42448         0.43802         0.45218           0.467         0.48242         0.49857         0.51544         0.53304          0.5514         0.57062          0.5907         0.61168         0.63359         0.65657         0.68053          0.7056          0.7318         0.75921         0.78788         0.81784         0.84919         0.88199         0.91634         0.95225         0.98992          1.0293          1.0707          1.1141          1.1596          1.2074          1.2576          1.3105          1.3661          1.4247          1.4865          1.5516          1.6203          1.6928          1.7695          1.8504           1.936          2.0263          2.1218          2.2226          2.3287          2.4402          2.5562          2.6758          2.7959          2.9109          3.0139         0.32069         0.32342         0.32651          0.3299         0.33355         0.33743         0.34155         0.34586         0.35039         0.35515         0.36015         0.36539         0.37088         0.37664          0.3827          0.3891         0.39585         0.40296          0.4104         0.41821         0.42637          0.4349         0.44381         0.45312         0.46279         0.47295         0.48349         0.49439         0.50564         0.51734         0.52954         0.54224         0.55545         0.56934         0.58377         0.59875         0.61447         0.63102         0.64816         0.66624         0.68501         0.70453         0.72484         0.74631         0.76886         0.79237         0.81711         0.84284         0.86999         0.89834         0.92826         0.95975         0.99244          1.0268          1.0634          1.1018           1.142          1.1841          1.2288          1.2762          1.3254          1.3777          1.4327          1.4912          1.5525          1.6171          1.6858           1.758          1.8344          1.9153          2.0007          2.0908          2.1866          2.2872          2.3934          2.5049          2.6213          2.7407          2.8612           2.976          3.0793         0.52033         0.52343         0.52675         0.53049         0.53439         0.53851         0.54303         0.54772          0.5525         0.55743         0.56272         0.56801         0.57371         0.57968         0.58605         0.59257         0.59956         0.60666         0.61421         0.62202         0.63028         0.63882         0.64764         0.65683          0.6664         0.67612         0.68662         0.69732         0.70854         0.72029         0.73245         0.74518         0.75819         0.77206         0.78628         0.80094         0.81636         0.83236         0.84912         0.86699         0.88565         0.90504         0.92511         0.94617         0.96851         0.99174          1.0162          1.0417          1.0685          1.0968          1.1266          1.1578          1.1908          1.2252          1.2615          1.2994          1.3399          1.3827          1.4274          1.4744           1.524          1.5768          1.6326          1.6908          1.7525          1.8181           1.887          1.9602          2.0374          2.1183          2.2045          2.2963          2.3922          2.4931          2.6012          2.7126          2.8299          2.9501          3.0704          3.1876          3.2886   
      2      0.00051498     0.13397       0.13632       0.13881       0.14147        0.1443       0.14732       0.15053       0.15395       0.15759        0.16147         0.1656           0.17        0.17468        0.17966        0.18497        0.19061        0.19662        0.20301         0.2098        0.21698         0.2246        0.23264        0.24113        0.25008        0.25952        0.26948        0.27996        0.29102        0.30261        0.31481         0.3277        0.34122         0.3555        0.37053        0.38639        0.40299        0.42052        0.43891         0.4582        0.47856        0.49983        0.52224         0.5457        0.57036        0.59622        0.62333        0.65181        0.68164        0.71288        0.74561        0.77991        0.81576        0.85312        0.89209        0.93279        0.97514        1.0193         1.0653         1.1134         1.1633         1.2154         1.2699         1.3267         1.3863         1.4488         1.5145         1.5837         1.6567         1.7338         1.8151         1.9011         1.9916         2.0874         2.1882         2.2943         2.4058         2.5219         2.6416         2.7616         2.8765         2.9798         0.15189        0.15432        0.15689        0.15962        0.16253        0.16562        0.16891         0.1724        0.17612        0.18007        0.18427        0.18874        0.19349        0.19854        0.20392        0.20964        0.21572        0.22217        0.22903         0.23629         0.24397         0.25208         0.26065         0.26967         0.27918         0.28921         0.29973         0.31083         0.32247         0.33473         0.34766         0.36126          0.3755         0.39062         0.40637         0.42295         0.44043         0.45869         0.47793         0.49807         0.51924         0.54144         0.56465          0.5891         0.61466         0.64147         0.66957           0.699         0.72981         0.76202         0.79567         0.83085          0.8676         0.90585         0.94572         0.98729          1.0308           1.076          1.1234          1.1727          1.2242          1.2782          1.3346          1.3939          1.4562          1.5217          1.5908          1.6637          1.7407          1.8218          1.9077          1.9982          2.0938          2.1947          2.3008          2.4123          2.5284           2.648           2.768          2.8831          2.9863          0.2168         0.21944         0.22234         0.22548         0.22882         0.23237         0.23613         0.24011         0.24431         0.24876         0.25347         0.25845         0.26372         0.26929          0.2752         0.28145         0.28805         0.29503          0.3024         0.31018         0.31836         0.32693         0.33594         0.34538         0.35529         0.36563         0.37644         0.38774         0.39953         0.41188         0.42484         0.43837         0.45252         0.46734         0.48275         0.49889         0.51576         0.53335         0.55171         0.57092           0.591         0.61198         0.63388         0.65686         0.68081         0.70587         0.73207         0.75947         0.78814          0.8181         0.84945         0.88224         0.91659          0.9525         0.99017          1.0296          1.0709          1.1143          1.1599          1.2076          1.2578          1.3108          1.3663           1.425          1.4867          1.5518          1.6205           1.693          1.7698          1.8506          1.9362          2.0265           2.122          2.2228          2.3289          2.4404          2.5565           2.676          2.7961          2.9111          3.0141         0.32102         0.32374         0.32684         0.33023         0.33387         0.33775         0.34187         0.34618         0.35072         0.35548         0.36047         0.36571          0.3712         0.37696         0.38303         0.38943         0.39618         0.40328         0.41072         0.41853         0.42668         0.43521         0.44411         0.45342         0.46309         0.47324         0.48377         0.49467         0.50591          0.5176         0.52979         0.54249          0.5557         0.56958           0.584         0.59898          0.6147         0.63124         0.64838         0.66644         0.68523         0.70473         0.72505         0.74651         0.76906         0.79256          0.8173         0.84303         0.87018         0.89852         0.92845         0.95992         0.99261           1.027          1.0636           1.102          1.1422          1.1843           1.229          1.2764          1.3256          1.3779          1.4329          1.4914          1.5526          1.6173          1.6859          1.7582          1.8346          1.9154          2.0009           2.091          2.1868          2.2874          2.3936           2.505          2.6214          2.7409          2.8613          2.9762          3.0795         0.52063         0.52373         0.52705         0.53079         0.53469         0.53881         0.54333         0.54802          0.5528         0.55773         0.56302         0.56831           0.574         0.57998         0.58635         0.59286         0.59985         0.60696          0.6145          0.6223         0.63056          0.6391         0.64791          0.6571         0.66666         0.67638         0.68687         0.69757         0.70879         0.72053         0.73269         0.74541         0.75842         0.77228         0.78649         0.80114         0.81657         0.83256         0.84931         0.86718         0.88584         0.90522         0.92529         0.94635         0.96869         0.99191          1.0163          1.0419          1.0687           1.097          1.1268          1.1579          1.1909          1.2254          1.2616          1.2995          1.3401          1.3828          1.4276          1.4745          1.5242           1.577          1.6328          1.6909          1.7527          1.8182          1.8871          1.9603          2.0375          2.1184          2.2047          2.2964          2.3923          2.4933          2.6014          2.7127            2.83          2.9503          3.0705          3.1878          3.2887   
      3       0.0041199     0.13768          0.14       0.14247       0.14512       0.14795       0.15097       0.15419       0.15762       0.16126        0.16514        0.16927        0.17367        0.17835        0.18333        0.18863        0.19427        0.20026        0.20664        0.21341        0.22059        0.22818        0.23619        0.24467        0.25359          0.263        0.27292        0.28336        0.29439        0.30593        0.31808        0.33093        0.34442        0.35864        0.37364        0.38947        0.40601        0.42351        0.44186        0.46111        0.48142        0.50265        0.52503        0.54844        0.57306        0.59889        0.62598        0.65441        0.68418        0.71538        0.74808        0.78234        0.81813        0.85546        0.89441        0.93504        0.97735        1.0215         1.0674         1.1154         1.1653         1.2174         1.2719         1.3286         1.3881         1.4506         1.5163         1.5855         1.6585         1.7355         1.8168         1.9028         1.9934         2.0891           2.19          2.296         2.4075         2.5236         2.6433         2.7633         2.8783         2.9815          0.1556          0.158        0.16055        0.16327        0.16618        0.16927        0.17256        0.17606        0.17979        0.18374        0.18794        0.19241        0.19716        0.20221        0.20758        0.21329        0.21935         0.2258        0.23265         0.23989         0.24755         0.25564         0.26418         0.27318         0.28266         0.29265         0.30313         0.31419         0.32578           0.338         0.35089         0.36445         0.37864         0.39372         0.40943         0.42597         0.44339         0.46162         0.48081          0.5009         0.52204         0.54419         0.56736         0.59176         0.61729         0.64406         0.67212          0.7015         0.73228         0.76444         0.79804         0.83318         0.86989          0.9081         0.94791         0.98945          1.0329          1.0781          1.1254          1.1746          1.2261            1.28          1.3365          1.3957           1.458          1.5235          1.5926          1.6654          1.7424          1.8236          1.9094          1.9999          2.0956          2.1964          2.3025           2.414          2.5301          2.6497          2.7697          2.8848           2.988          0.2198         0.22242         0.22529         0.22842         0.23176         0.23531         0.23907         0.24305         0.24725         0.25169         0.25639         0.26136         0.26661         0.27217         0.27806         0.28428         0.29086         0.29782         0.30516         0.31294         0.32109         0.32966         0.33866         0.34809         0.35797         0.36827         0.37903         0.39028         0.40203         0.41437         0.42729         0.44078         0.45487         0.46964         0.48501         0.50109         0.51793          0.5355         0.55382         0.57299         0.59305         0.61398         0.63587          0.6588         0.68272         0.70777         0.73395          0.7613         0.78995          0.8199         0.85123         0.88398         0.91832         0.95423         0.99184          1.0312          1.0726          1.1159          1.1615          1.2092          1.2594          1.3124          1.3679          1.4265          1.4882          1.5533          1.6221          1.6945          1.7713          1.8521          1.9377           2.028          2.1235          2.2243          2.3304          2.4418           2.558          2.6775          2.7976          2.9126          3.0156         0.32326         0.32597         0.32904         0.33242         0.33606         0.33995         0.34406         0.34838         0.35292         0.35768         0.36267          0.3679         0.37339         0.37915         0.38522         0.39162         0.39837         0.40547         0.41289         0.42069         0.42882         0.43731         0.44621         0.45546         0.46512         0.47522         0.48571         0.49655         0.50774         0.51938         0.53154         0.54419         0.55735         0.57122         0.58561         0.60054         0.61624         0.63276         0.64991         0.66788         0.68666         0.70612         0.72644         0.74788         0.77039         0.79389         0.81859         0.84431         0.87145         0.89976          0.9297         0.96112         0.99384          1.0282          1.0648          1.1032          1.1434          1.1855          1.2302          1.2776          1.3268          1.3791          1.4341          1.4926          1.5538          1.6184          1.6871          1.7594          1.8357          1.9166           2.002          2.0921          2.1879          2.2885          2.3947          2.5062          2.6226          2.7421          2.8625          2.9773          3.0807         0.52269         0.52577         0.52908          0.5328         0.53669         0.54083         0.54535         0.55004         0.55482         0.55975         0.56503         0.57034         0.57602         0.58202         0.58836         0.59487         0.60184         0.60894         0.61647         0.62426          0.6325         0.64101          0.6498         0.65897         0.66849         0.67819         0.68863         0.69927         0.71048         0.72218         0.73429         0.74697         0.75994         0.77378         0.78795         0.80255         0.81795         0.83391         0.85065         0.86848         0.88713         0.90648         0.92652         0.94758         0.96991         0.99311          1.0175           1.043          1.0698          1.0981          1.1279           1.159           1.192          1.2265          1.2627          1.3006          1.3412          1.3839          1.4286          1.4756          1.5252          1.5781          1.6338           1.692          1.7538          1.8193          1.8882          1.9614          2.0386          2.1194          2.2057          2.2975          2.3934          2.4943          2.6024          2.7138          2.8311          2.9513          3.0716          3.1888          3.2898   
      4        0.013905     0.14648       0.14877       0.15122       0.15385       0.15667       0.15969       0.16291       0.16633       0.16998        0.17386        0.17799         0.1824        0.18709        0.19208        0.19739        0.20304        0.20904        0.21542         0.2222        0.22936        0.23692        0.24489         0.2533        0.26218        0.27156        0.28142         0.2918        0.30275        0.31425        0.32634         0.3391        0.35254        0.36668        0.38162        0.39734        0.41381        0.43126        0.44949        0.46867        0.48888        0.51003        0.53233        0.55566         0.5802        0.60594        0.63289        0.66124         0.6909        0.72201        0.75461        0.78872        0.82442        0.86165        0.90045        0.94091        0.98315        1.0271          1.073         1.1208         1.1705         1.2225         1.2769         1.3335          1.393         1.4554          1.521         1.5902         1.6631         1.7401         1.8215         1.9073         1.9979         2.0936         2.1945         2.3006         2.4121         2.5281         2.6478         2.7678         2.8827          2.986          0.1644        0.16676        0.16929          0.172         0.1749        0.17799        0.18128        0.18478         0.1885        0.19245        0.19666        0.20114         0.2059        0.21096        0.21634        0.22206        0.22813        0.23459        0.24143         0.24866         0.25629         0.26433         0.27282         0.28177         0.29121         0.30113         0.31156         0.32253         0.33409         0.34623         0.35906          0.3725         0.38667         0.40163         0.41725         0.43374         0.45106         0.46919          0.4883         0.50828         0.52935         0.55137         0.57451          0.5988          0.6242         0.65086         0.67884         0.70809         0.73881         0.77083          0.8043         0.83935         0.87588         0.91397         0.95365         0.99514          1.0384          1.0835          1.1306          1.1798          1.2311          1.2849          1.3413          1.4005          1.4627          1.5281          1.5973          1.6701          1.7471          1.8282           1.914          2.0044          2.1001          2.2009           2.307          2.4185          2.5346          2.6542          2.7742          2.8893          2.9924         0.22651         0.22907         0.23191         0.23501         0.23834          0.2419         0.24566         0.24964         0.25384          0.2583         0.26301         0.26798         0.27324          0.2788         0.28468         0.29089         0.29744         0.30436          0.3117          0.3194         0.32749         0.33599         0.34489         0.35426         0.36406         0.37429           0.385         0.39627         0.40804         0.42034         0.43318         0.44661         0.46064         0.47529         0.49059         0.50655         0.52334         0.54082         0.55909         0.57819         0.59818         0.61904          0.6409         0.66373          0.6876         0.71257         0.73868         0.76598          0.7946         0.82447         0.85572         0.88845         0.92271         0.95855         0.99609          1.0355          1.0768          1.1201          1.1655          1.2133          1.2634          1.3164          1.3718          1.4304          1.4922          1.5572           1.626          1.6984          1.7752           1.856          1.9415          2.0319          2.1273          2.2282          2.3342          2.4456          2.5618          2.6813          2.8014          2.9164          3.0194         0.32805         0.33075          0.3338         0.33716         0.34078         0.34467         0.34877         0.35309         0.35762         0.36237         0.36736         0.37259          0.3781         0.38387            0.39         0.39643         0.40321         0.41031         0.41776         0.42548         0.43359         0.44204         0.45086         0.46006         0.46973         0.47975         0.49011         0.50084         0.51197         0.52354         0.53562         0.54818         0.56133         0.57514         0.58945         0.60434         0.62002          0.6364         0.65365         0.67142          0.6902         0.70959         0.72993         0.75137         0.77376         0.79722         0.82189         0.84758         0.87469         0.90293         0.93286         0.96426         0.99697          1.0313          1.0679          1.1063          1.1464          1.1885          1.2333          1.2806          1.3298           1.382          1.4371          1.4955          1.5567          1.6214          1.6902          1.7623          1.8386          1.9195          2.0049          2.0951          2.1908          2.2914          2.3976          2.5091          2.6255           2.745          2.8653          2.9803          3.0835         0.52704         0.53006         0.53338         0.53708         0.54094         0.54512         0.54961         0.55428         0.55906         0.56401         0.56926         0.57461         0.58028         0.58633         0.59263          0.5992         0.60614         0.61326          0.6208         0.62855         0.63677         0.64525         0.65398         0.66312         0.67253         0.68224         0.69262         0.70312         0.71435         0.72599         0.73803         0.75062         0.76355         0.77732         0.79143         0.80597         0.82134         0.83722         0.85394         0.87171         0.89033         0.90963         0.92966         0.95073         0.97302         0.99615          1.0205          1.0459          1.0727          1.1011          1.1308          1.1619          1.1949          1.2294          1.2654          1.3035           1.344          1.3867          1.4313          1.4784           1.528          1.5808          1.6366          1.6948          1.7564          1.8221          1.8909          1.9641          2.0413          2.1221          2.2084          2.3003          2.3961          2.4971          2.6051          2.7166          2.8338           2.954          3.0743          3.1915          3.2924   
      5        0.032959     0.16186       0.16402       0.16638       0.16896       0.17178       0.17481       0.17805       0.18151       0.18519         0.1891        0.19326        0.19768        0.20237        0.20737        0.21268        0.21832        0.22431        0.23065        0.23739        0.24452        0.25203        0.25998        0.26831        0.27713        0.28641        0.29619        0.30651        0.31734        0.32872        0.34078        0.35342        0.36679        0.38085        0.39572        0.41125        0.42767        0.44494        0.46306        0.48216        0.50219        0.52324        0.54538        0.56854        0.59295        0.61848         0.6453        0.67351        0.70303        0.73396        0.76636         0.8002         0.8357        0.87272        0.91132         0.9515        0.99348        1.0372         1.0828         1.1303         1.1798         1.2316         1.2857         1.3422         1.4015         1.4637         1.5292         1.5984         1.6713         1.7483         1.8295         1.9153          2.006         2.1014         2.2023         2.3084           2.42         2.5361         2.6556         2.7755         2.8906         2.9938         0.17977        0.18201        0.18444         0.1871        0.18999         0.1931        0.19642        0.19995         0.2037        0.20769        0.21192        0.21641        0.22118        0.22624        0.23162        0.23733         0.2434        0.24981        0.25661         0.26382         0.27139         0.27942         0.28782         0.29671         0.30605         0.31587         0.32622          0.3371         0.34854         0.36065         0.37335         0.38667         0.40082         0.41558          0.4311         0.44747          0.4646         0.48266         0.50157         0.52147          0.5424         0.56423          0.5872         0.61134         0.63655         0.66309         0.69089         0.71995         0.75042          0.7823         0.81554         0.85032         0.88662         0.92451         0.96401          1.0052          1.0482          1.0931          1.1399          1.1889            1.24          1.2936          1.3498          1.4088           1.471          1.5364          1.6054          1.6782          1.7551          1.8362           1.922          2.0124           2.108          2.2088          2.3149          2.4264          2.5426          2.6621           2.782           2.897          3.0002         0.23737         0.23978         0.24251         0.24556         0.24889         0.25246         0.25626         0.26028         0.26453           0.269         0.27373         0.27872         0.28398         0.28955         0.29543         0.30162         0.30817         0.31509         0.32236         0.33001         0.33801         0.34641         0.35521         0.36444         0.37412         0.38423         0.39485         0.40593         0.41753         0.42967         0.44239         0.45571         0.46969         0.48425         0.49948         0.51543         0.53206         0.54943         0.56759         0.58663         0.60651          0.6273         0.64906         0.67183         0.69562         0.72052         0.74659         0.77383         0.80227         0.83211         0.86322         0.89586         0.93003         0.96576          1.0032          1.0425          1.0838           1.127          1.1723            1.22          1.2702           1.323          1.3784           1.437          1.4987          1.5637          1.6324          1.7048          1.7814          1.8623          1.9479          2.0382          2.1336          2.2344          2.3405          2.4519          2.5681          2.6876          2.8077          2.9226          3.0257         0.33571         0.33827         0.34121         0.34451         0.34815         0.35206         0.35616          0.3605         0.36507         0.36982         0.37481         0.38008         0.38562          0.3915         0.39765         0.40409         0.41081         0.41784         0.42519         0.43291         0.44095         0.44936         0.45811         0.46729         0.47682         0.48668          0.4969         0.50751         0.51851         0.53001         0.54198         0.55449         0.56771          0.5813         0.59556         0.61046         0.62607         0.64237         0.65947         0.67722         0.69596         0.71528         0.73553         0.75689         0.77923         0.80279         0.82738           0.853         0.88001         0.90831         0.93817         0.96946          1.0021          1.0366           1.073          1.1115          1.1515          1.1936          1.2383          1.2855          1.3348          1.3869          1.4421          1.5005          1.5616          1.6263           1.695          1.7671          1.8434          1.9244          2.0098             2.1          2.1955          2.2962          2.4025          2.5139          2.6303            2.75          2.8701          2.9851          3.0883         0.53383         0.53662         0.53995         0.54354         0.54745         0.55165         0.55611         0.56081         0.56562         0.57063         0.57576         0.58124         0.58692         0.59298         0.59923         0.60586         0.61266         0.61981         0.62734         0.63503         0.64323          0.6517         0.66032         0.66945         0.67861         0.68836         0.69868           0.709         0.72023         0.73182         0.74385         0.75623         0.76919         0.78284         0.79685         0.81134         0.82667         0.84243         0.85913          0.8769         0.89552         0.91467         0.93465         0.95576         0.97797          1.0011          1.0253          1.0507          1.0776           1.106          1.1356          1.1666          1.1996          1.2341          1.2701           1.308          1.3486          1.3913          1.4358          1.4828          1.5326          1.5854           1.641          1.6994          1.7609          1.8266          1.8954          1.9685          2.0457          2.1265          2.2129          2.3048          2.4004          2.5015          2.6096           2.721          2.8383          2.9583          3.0786          3.1958          3.2968   
      6        0.064373     0.18448       0.18648       0.18877       0.19133       0.19415        0.1972       0.20048       0.20398       0.20771        0.21168         0.2159        0.22039        0.22514        0.23019        0.23554        0.24119        0.24718        0.25351        0.26021         0.2673        0.27472        0.28259        0.29084        0.29954        0.30874        0.31842        0.32858        0.33928        0.35059        0.36249        0.37503        0.38825        0.40225        0.41688        0.43231        0.44861        0.46567        0.48365        0.50255        0.52237        0.54328         0.5651        0.58811        0.61226        0.63753        0.66416        0.69204        0.72125        0.75192        0.78404        0.81756        0.85267        0.88933        0.92762        0.96741          1.009        1.0523         1.0974         1.1446         1.1937         1.2451         1.2986         1.3549          1.414         1.4761         1.5416         1.6106         1.6834         1.7603         1.8414         1.9272         2.0177         2.1133          2.214         2.3201         2.4316         2.5478         2.6673         2.7871         2.9022         3.0055         0.20218        0.20426        0.20664         0.2093        0.21221        0.21535        0.21872        0....

Graph Mean Values:

mp_support_graph('cl_st_graph_title') = {'MEAN(value(a,z)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(value(a,z))'};
ff_graph_grid((tb_az_v{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);

Graph Mean Savings Choices:

mp_support_graph('cl_st_graph_title') = {'MEAN(APRIME(a,z)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(APRIME(a,z))'};
ff_graph_grid((tb_az_ap{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);

Graph Mean Consumption:

mp_support_graph('cl_st_graph_title') = {'MEAN(C(a,z)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(C(a,z))'};
ff_graph_grid((tb_az_c{1:end, 3:end})', ar_st_eta_HS_grid, agrid, mp_support_graph);

1.4 Analyze Kids and Marriage and Age

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

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

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

Tabulate value and policies:

% Set
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,4,1,6,5];
% Value Function
tb_az_v = ff_summ_nd_array("MEAN(VAL(KM,J))", V_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(VAL(KM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ____    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       1        0        -38.153         -36.95        -35.802        -34.709        -33.718        -32.818        -31.999        -31.251        -30.566        -29.937        -29.358        -28.824        -28.329        -27.869        -27.439        -27.036        -26.657        -26.298        -25.957        -25.631        -25.317        -25.015        -24.721        -24.435        -24.153        -23.876        -23.602        -23.329        -23.057        -22.784        -22.511        -22.235        -21.957        -21.676        -21.393         -21.11        -20.829        -20.553        -20.286        -20.032          -19.8        -19.601        -19.451        -19.382        -19.446        -19.759        -20.624        -23.724        -22.858        -21.997        -21.141        -20.289        -19.441        -18.601        -17.769        -16.945        -16.127        -15.315        -14.511        -13.721        -12.945        -12.182        -11.437         -10.71        -10.006        -9.3281        -8.6786        -8.0595         -7.472        -6.9158          -6.39        -5.8928        -5.4217        -4.9742        -4.5464        -4.1346        -3.7328        -3.3327        -2.9195        -2.4732        -1.9669        -1.3719        -0.67141  
      2       2        0        -45.736         -44.24        -42.778        -41.355        -40.041        -38.825        -37.699        -36.653        -35.682        -34.777        -33.935         -33.15        -32.417        -31.732         -31.09        -30.487        -29.921        -29.386        -28.881        -28.401        -27.944        -27.508        -27.091        -26.689          -26.3        -25.923        -25.556        -25.197        -24.845        -24.498        -24.155        -23.816        -23.478        -23.142        -22.808        -22.477        -22.153        -21.837        -21.533        -21.247        -20.986         -20.76        -20.589        -20.502        -20.557        -20.869        -21.759        -25.043        -24.131        -23.226        -22.327        -21.435        -20.549        -19.672        -18.805        -17.948        -17.098        -16.254        -15.421        -14.601        -13.797        -13.008        -12.235        -11.484        -10.756        -10.055        -9.3845        -8.7451        -8.1378        -7.5617        -7.0155        -6.4976        -6.0061        -5.5386        -5.0916        -4.6613        -4.2417        -3.8246        -3.3945        -2.9297        -2.3981        -1.7577        -0.94952  
      3       3        0        -49.467        -47.957        -46.467        -45.003        -43.644        -42.382        -41.206        -40.107         -39.08        -38.118        -37.215        -36.367         -35.57        -34.819         -34.11         -33.44        -32.805        -32.202        -31.628        -31.081        -30.558        -30.056        -29.573        -29.107        -28.657         -28.22        -27.794        -27.378        -26.971        -26.571        -26.178         -25.79        -25.405        -25.025        -24.648        -24.278        -23.915        -23.564        -23.227        -22.911        -22.622        -22.371        -22.178        -22.074        -22.118        -22.435        -23.373        -26.966        -25.995        -25.033        -24.081        -23.136        -22.199        -21.273        -20.359        -19.456        -18.561        -17.673        -16.797        -15.936        -15.091        -14.262        -13.452        -12.663        -11.899        -11.163        -10.457        -9.7819        -9.1385        -8.5262        -7.9442         -7.391        -6.8649        -6.3638        -5.8842        -5.4222        -4.9721        -4.5254        -4.0645        -3.5628        -2.9739        -2.2186         -1.1629  
      4       4        0        -53.322        -51.806        -50.292        -48.787        -47.384        -46.072        -44.842        -43.687        -42.599        -41.572        -40.603        -39.688        -38.821            -38        -37.221         -36.48        -35.775        -35.103        -34.461        -33.846        -33.257        -32.691        -32.146         -31.62        -31.111        -30.617        -30.137        -29.668        -29.211        -28.763        -28.324        -27.891        -27.465        -27.044         -26.63        -26.223        -25.827        -25.444        -25.078        -24.733        -24.419        -24.145        -23.932        -23.811        -23.849        -24.183        -25.193        -29.158        -28.128        -27.109        -26.101        -25.102        -24.113        -23.135        -22.172         -21.22        -20.277        -19.343         -18.42        -17.513        -16.623         -15.75        -14.896        -14.064        -13.257        -12.477        -11.726        -11.005        -10.316        -9.6579        -9.0306        -8.4328        -7.8627        -7.3186        -6.7968        -6.2937         -5.803        -5.3155        -4.8089        -4.2455        -3.5514        -2.6083         -1.3428  
      5       5        0        -56.129        -54.692        -53.245        -51.795        -50.441        -49.173        -47.982        -46.859        -45.796        -44.789        -43.833        -42.923        -42.057        -41.231        -40.441        -39.684        -38.959        -38.263        -37.593        -36.948        -36.325        -35.723         -35.14        -34.575        -34.026        -33.491        -32.969        -32.458        -31.959        -31.469        -30.988        -30.515        -30.048        -29.587        -29.134        -28.689        -28.256        -27.837        -27.435        -27.057        -26.709        -26.404        -26.164        -26.025        -26.061        -26.427        -27.544        -31.997        -30.889        -29.794        -28.712        -27.641        -26.581        -25.535        -24.504        -23.486        -22.478        -21.478        -20.491         -19.52        -18.567        -17.631        -16.714        -15.818        -14.946          -14.1        -13.282        -12.495         -11.74        -11.017        -10.326        -9.6653        -9.0335        -8.4291        -7.8482        -7.2871        -6.7381         -6.188        -5.6049        -4.9321        -4.0776        -2.9547         -1.5013  
      6       1        1        -26.282        -25.268        -24.319        -23.425        -22.612        -21.872        -21.199        -20.588        -20.032        -19.527        -19.069        -18.653        -18.276        -17.934        -17.625        -17.345        -17.091        -16.861        -16.653        -16.465        -16.295         -16.14            -16        -15.873        -15.757        -15.651        -15.555        -15.466        -15.384        -15.308        -15.238        -15.172         -15.11        -15.051        -14.996        -14.946        -14.902        -14.865        -14.839        -14.826         -14.83        -14.859        -14.923        -15.038        -15.234        -15.568        -16.175        -17.869        -17.408        -16.936        -16.453        -15.959        -15.453        -14.938        -14.416        -13.885        -13.344        -12.794        -12.237        -11.676        -11.114        -10.552        -9.9902        -9.4333         -8.884        -8.3461        -7.8226        -7.3151        -6.8259        -6.3554        -5.9038        -5.4707        -5.0552        -4.6561        -4.2707        -3.8958         -3.526        -3.1537        -2.7647         -2.341        -1.8582        -1.2941        -0.64139  
      7       2        1        -30.883        -29.746         -28.66        -27.617         -26.65        -25.755        -24.927         -24.16        -23.449        -22.792        -22.185        -21.625        -21.108        -20.631        -20.193        -19.789        -19.418        -19.077        -18.764        -18.476        -18.212         -17.97        -17.747        -17.543        -17.355        -17.182        -17.022        -16.875        -16.739        -16.612        -16.495        -16.385        -16.281        -16.184        -16.094        -16.011        -15.937        -15.872         -15.82        -15.783        -15.766        -15.775        -15.821        -15.918        -16.097        -16.411        -16.994        -18.578        -18.097        -17.606        -17.104        -16.592        -16.069        -15.538            -15        -14.453        -13.897        -13.332        -12.761        -12.187        -11.611        -11.035        -10.461        -9.8909        -9.3288        -8.7777        -8.2408        -7.7201        -7.2178        -6.7346        -6.2704        -5.8251        -5.3978        -4.9877        -4.5915        -4.2063        -3.8261         -3.443        -3.0421        -2.6041         -2.102        -1.5057        -0.78487  
      8       3        1        -33.096        -31.952        -30.853         -29.79        -28.803        -27.886        -27.034        -26.242        -25.507        -24.823        -24.188        -23.599        -23.053        -22.547        -22.078        -21.643        -21.241        -20.869        -20.525        -20.207        -19.912        -19.639        -19.387        -19.153        -18.935        -18.734        -18.546        -18.371        -18.208        -18.055        -17.912        -17.777         -17.65         -17.53        -17.417        -17.312        -17.216         -17.13        -17.058        -17.001        -16.963        -16.951        -16.973        -17.044        -17.193        -17.472        -18.019        -19.514        -19.014        -18.504        -17.984        -17.454        -16.914        -16.365        -15.809        -15.246        -14.674        -14.091        -13.503        -12.913        -12.321        -11.728        -11.136        -10.548        -9.9674        -9.3972        -8.8409        -8.3005        -7.7785        -7.2757        -6.7924        -6.3283        -5.8826        -5.4543        -5.0407         -4.638        -4.2402        -3.8385        -3.4169        -2.9527        -2.4113        -1.7444        -0.90048  
      9       4        1        -35.694        -34.564        -33.469        -32.399        -31.401        -30.469        -29.597        -28.781        -28.017        -27.301        -26.631        -26.004        -25.418         -24.87        -24.358         -23.88        -23.434        -23.018        -22.629        -22.267        -21.929        -21.614         -21.32        -21.046         -20.79        -20.551        -20.326        -20.116        -19.919        -19.734         -19.56        -19.394        -19.238        -19.089        -18.949        -18.816        -18.694        -18.583        -18.484        -18.399        -18.334        -18.291         -18.28        -18.316        -18.425        -18.665         -19.18        -20.592        -20.073        -19.544        -19.006        -18.457        -17.898        -17.331        -16.758        -16.177        -15.586        -14.986        -14.379         -13.77        -13.159        -12.546        -11.933        -11.324         -10.72        -10.126        -9.5454        -8.9807        -8.4344        -7.9074           -7.4        -6.9122         -6.443        -5.9915        -5.5548         -5.129        -4.7073        -4.2802        -3.8286        -3.3237        -2.7193        -1.9567         -1.0047  
     10       5        1        -37.748        -36.679        -35.641        -34.621        -33.672        -32.788        -31.962        -31.189        -30.463        -29.782        -29.142        -28.541        -27.977        -27.445        -26.946        -26.476        -26.033        -25.617        -25.225        -24.856        -24.508         -24.18        -23.871        -23.579        -23.304        -23.043        -22.796        -22.561        -22.339        -22.127        -21.924         -21.73        -21.544        -21.364        -21.191        -21.025        -20.866        -20.717        -20.578        -20.451         -20.34        -20.248        -20.185        -20.167        -20.225        -20.424        -20.928        -22.364        -21.808        -21.242        -20.667        -20.082        -19.487        -18.884        -18.274        -17.657        -17.031        -16.394        -15.751        -15.104        -14.454        -13.801        -13.147        -12.495        -11.848         -11.21        -10.586        -9.9779        -9.3884        -8.8185        -8.2692        -7.7403        -7.2308        -6.7395         -6.263        -5.7977        -5.3354        -4.8641        -4.3591        -3.7833        -3.0848        -2.2113         -1.1284  

% Aprime Choice
tb_az_ap = ff_summ_nd_array("MEAN(AP(KM,J))", ap_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(AP(KM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ____    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       1        0        34.497         34.459         34.419         34.455         34.493         34.531          34.57         34.608         34.645         34.681         34.716         34.749          34.78         34.808         34.835         34.859          34.88         34.899         34.916          34.93         34.942         34.952         34.959         34.965          34.97         34.973         34.974         34.974         34.974         34.972          34.97         34.968         34.965         34.962         34.959         34.956         34.955         34.954         34.954         34.956          34.96         34.966         34.975         34.987         35.004         35.025         35.052         33.183         33.124         33.061         32.994         32.922         32.846         32.763         32.675         32.594         32.516          32.43         32.332         32.223         32.101         31.966         31.815         31.646         31.459          31.25         31.036         30.833         30.599         30.332         30.022         29.665         29.321         28.914          28.41         27.865         27.185         26.347         25.214         23.595         20.936         15.697            0      
      2       2        0        34.303         34.259         34.213         34.242         34.272         34.302         34.332         34.361         34.389         34.416         34.441         34.464         34.485         34.505         34.522         34.537          34.55          34.56         34.569         34.575          34.58         34.583         34.584         34.584         34.582          34.58         34.576         34.572         34.566         34.561         34.555         34.549         34.544         34.538         34.533         34.529         34.526         34.525         34.525         34.527         34.532          34.54         34.552         34.568         34.589         34.616          34.65         32.779         32.709         32.636          32.57         32.506         32.436         32.358         32.272         32.179         32.076         31.963         31.839         31.703         31.553         31.389         31.206          31.02         30.844         30.643         30.414         30.154         29.859          29.54         29.236         28.875          28.45         27.991         27.492         26.854         26.163         25.252         24.065         22.417         19.745         14.643            0      
      3       3        0        34.149         34.105         34.058         34.086         34.115         34.143         34.172         34.199         34.226         34.251         34.275         34.296         34.315         34.333         34.347          34.36          34.37         34.379         34.384         34.388          34.39         34.391         34.389         34.386         34.382         34.377         34.371         34.364         34.357         34.349         34.342         34.334         34.327          34.32         34.313         34.308         34.304         34.302         34.302         34.305         34.311          34.32         34.333         34.351         34.375         34.405         34.444          32.58         32.523         32.462         32.394         32.321         32.241         32.153         32.059         31.956         31.845         31.723          31.59         31.445         31.286         31.112          30.95         30.781         30.587         30.367         30.119         29.842         29.544         29.262         28.935         28.555         28.126         27.702         27.181          26.58         25.887         25.033         23.907         22.328         19.836         14.982            0      
      4       4        0        34.057         34.013         33.967         33.996         34.024         34.053         34.081         34.108         34.134         34.159         34.181         34.202          34.22         34.236         34.249          34.26         34.269         34.275          34.28         34.282         34.282          34.28         34.277         34.272         34.266         34.259         34.252         34.243         34.234         34.225         34.216         34.207         34.199         34.191         34.184         34.178         34.174         34.172         34.172         34.175         34.181         34.191         34.206         34.225         34.251         34.286         34.333         32.489         32.428         32.362          32.29         32.213         32.129         32.038         31.941         31.836         31.722         31.597         31.462         31.315         31.153         30.995         30.841         30.666         30.468         30.245         29.997         29.721         29.446         29.163         28.837         28.464         28.057         27.643          27.14         26.569         25.914         25.099         24.029         22.548         20.131         15.174            0      
      5       5        0        33.974         33.933         33.889         33.919          33.95         33.981         34.011         34.041         34.069         34.096          34.12         34.143         34.162          34.18         34.195         34.207         34.217         34.224         34.229         34.231         34.232          34.23         34.227         34.222         34.216         34.209         34.201         34.192         34.183         34.174         34.164         34.155         34.146         34.138         34.131         34.125         34.121         34.118         34.119         34.122         34.129         34.139         34.155         34.175         34.203         34.241         34.291         32.453         32.391         32.324         32.252         32.174          32.09         32.001         31.904           31.8         31.687         31.564         31.431         31.285         31.126         30.976         30.823         30.652          30.46         30.244         30.005         29.737         29.468         29.195         28.884         28.531         28.131         27.738         27.269         26.705         26.101         25.305         24.281         22.807         20.343         15.302            0      
      6       1        1        35.212          35.25         35.288         35.417         35.549         35.682         35.817         35.952         36.085         36.215         36.342         36.465         36.581         36.692         36.795         36.891         36.979         37.057         37.128         37.189         37.241         37.283         37.317         37.343         37.359         37.368         37.369         37.362         37.349         37.329         37.304         37.273         37.238         37.199         37.156         37.111         37.064         37.015         36.966         36.918          36.87         36.824         36.781         36.741         36.706         36.676         36.655         34.085         33.991         33.894         33.794          33.69         33.582         33.469         33.357         33.248         33.135         33.016         32.888          32.75         32.601         32.442         32.271         32.083         31.876         31.647         31.417         31.184         30.925          30.64         30.315         29.948         29.582         29.167         28.658           28.1         27.419         26.571          25.43         23.803         21.124         15.843            0      
      7       2        1        34.954         34.979         35.003         35.113         35.226         35.339         35.453         35.566         35.677         35.785         35.889         35.989         36.084         36.172         36.255         36.331         36.399          36.46         36.514          36.56         36.599          36.63         36.653          36.67         36.679         36.682         36.679          36.67         36.655         36.636         36.612         36.584         36.553         36.519         36.482         36.443         36.404         36.364         36.325         36.286         36.249         36.214         36.182         36.154         36.131         36.114         36.105         33.842         33.744         33.641         33.535         33.429         33.326          33.22          33.11         32.994         32.871         32.739         32.598         32.449          32.29         32.115         31.924         31.714         31.495          31.28         31.043         30.787         30.504         30.186         29.843         29.494         29.102         28.637         28.135         27.553         26.832         25.953         24.801         23.128         20.477         15.287            0      
      8       3        1        34.711         34.728         34.743         34.842         34.943         35.045         35.147         35.249         35.348         35.445         35.538         35.627         35.711          35.79         35.863          35.93         35.991         36.045         36.091         36.131         36.165         36.191         36.211         36.224         36.231         36.233         36.229          36.22         36.206         36.188         36.166         36.141         36.113         36.083          36.05         36.017         35.983         35.948         35.915         35.882         35.852         35.824         35.799         35.778         35.761         35.751         35.747         33.739         33.634         33.531         33.431         33.327         33.221         33.111         32.995         32.873         32.743         32.605         32.458         32.301         32.133         31.949         31.748         31.536          31.33         31.106         30.862         30.597         30.302         29.975         29.652         29.296         28.891         28.424         27.938         27.344         26.647         25.768         24.646         23.037         20.477         15.394            0      
      9       4        1         34.51         34.519         34.527         34.617         34.708         34.801         34.893         34.984         35.074          35.16         35.243         35.323         35.397         35.467         35.531         35.589         35.641         35.687         35.727         35.761         35.788          35.81         35.825         35.836          35.84          35.84         35.835         35.826         35.813         35.796         35.776         35.753         35.728         35.702         35.674         35.645         35.615         35.586         35.558         35.532         35.507         35.486         35.467         35.452         35.441         35.436         35.438         33.655         33.554         33.456         33.355          33.25         33.142         33.029         32.911         32.786         32.653         32.513         32.363         32.203          32.03         31.843          31.64         31.439         31.232         31.006         30.761         30.494         30.197         29.878          29.56         29.207         28.805         28.351         27.873         27.288         26.616         25.761         24.679         23.111         20.579          15.47            0      
     10       5        1        34.225         34.221         34.216          34.29         34.367         34.444         34.522         34.598         34.673         34.746         34.816         34.883         34.945         35.003         35.057         35.106         35.149         35.187         35.221         35.249         35.272         35.289         35.303         35.311         35.316         35.316         35.313         35.306         35.296         35.284         35.269         35.252         35.234         35.214         35.194         35.173         35.153         35.133         35.114         35.097         35.082         35.069         35.059         35.053         35.051         35.055         35.066         33.441          33.35         33.258         33.162         33.064         32.961         32.853         32.739          32.62         32.493         32.359         32.215         32.059          31.89         31.707         31.508         31.317         31.116         30.897         30.662         30.402          30.11           29.8         29.492         29.154         28.764         28.318         27.862         27.301         26.647         25.824         24.773         23.208         20.656          15.53            0      

% Consumption Choices
tb_az_c = ff_summ_nd_array("MEAN(C(KM,J))", cons_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(C(KM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    kids    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ____    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       1        0        2.0602         2.0988         2.1385         2.1805         2.2207         2.2589         2.2952         2.3296          2.362         2.3926         2.4213         2.4482         2.4732         2.4966         2.5183         2.5384         2.5571         2.5743         2.5901         2.6047         2.6181         2.6302         2.6413         2.6512         2.6601          2.668         2.6748         2.6806         2.6854         2.6891         2.6916          2.693         2.6932          2.692         2.6894          2.685         2.6787         2.6701          2.659          2.645         2.6277         2.6068         2.5814         2.5512         2.5153         2.4729         2.4226         2.3673         2.4262          2.489         2.5559         2.6275         2.7042         2.7865         2.8746         2.9561         3.0334         3.1202         3.2179         3.3269         3.4484         3.5839          3.735         3.9033         4.0909            4.3          4.514         4.7171         4.9504          5.218         5.5274         5.8851         6.2291         6.6354           7.14          7.685         8.3652         9.2031         10.336         11.954         14.613         19.853           35.55   
      2       2        0        2.2548         2.2985         2.3445         2.3938         2.4417         2.4882         2.5332         2.5766         2.6183         2.6583         2.6965         2.7329         2.7674         2.8002         2.8311         2.8602         2.8875         2.9131          2.937         2.9593           2.98         2.9991         3.0168          3.033         3.0477          3.061         3.0729         3.0835         3.0926         3.1003         3.1065         3.1111         3.1142         3.1156          3.115         3.1122         3.1072         3.0993         3.0883         3.0738         3.0554         3.0325         3.0044         2.9706         2.9297         2.8814         2.8242         2.7712         2.8412         2.9142         2.9801         3.0436         3.1141          3.192         3.2776         3.3713          3.474          3.587         3.7109         3.8469         3.9964         4.1613         4.3437         4.5298         4.7055         4.9064         5.1361         5.3963         5.6912         6.0097         6.3136         6.6748         7.0997          7.559         8.0581         8.6957         9.3871         10.298         11.485         13.133         15.805         20.907           35.55   
      3       3        0        2.4085         2.4527         2.4992         2.5498         2.5989         2.6467          2.693         2.7378         2.7811         2.8227         2.8626          2.901         2.9375         2.9724         3.0055          3.037         3.0667         3.0948         3.1213         3.1462         3.1695         3.1913         3.2116         3.2303         3.2476         3.2635         3.2778         3.2908         3.3022          3.312         3.3201         3.3266         3.3313         3.3341         3.3349         3.3332         3.3288         3.3215         3.3106          3.296         3.2769         3.2529         3.2233         3.1873         3.1437         3.0922         3.0305         2.9695         3.0264          3.088         3.1555         3.2289         3.3093         3.3964          3.491         3.5934         3.7049         3.8267         3.9598          4.105         4.2641         4.4381         4.5998         4.7689         4.9625         5.1826         5.4308         5.7077         6.0055         6.2877         6.6144         6.9946         7.4239          7.848         8.3691         8.9695         9.6624         10.517         11.643         13.222         15.714         20.568           35.55   
      4       4        0        2.5011         2.5444         2.5902         2.6404         2.6895         2.7373         2.7838         2.8289         2.8727          2.915         2.9559         2.9952         3.0329         3.0691         3.1036         3.1366         3.1681         3.1979         3.2261         3.2528          3.278         3.3016         3.3238         3.3444         3.3636         3.3812         3.3973         3.4118         3.4247          3.436         3.4455         3.4533         3.4591         3.4628         3.4643         3.4633         3.4593         3.4521         3.4412         3.4262         3.4065         3.3816         3.3507         3.3131         3.2677         3.2117         3.1419         3.0608         3.1216          3.188         3.2595          3.337          3.421         3.5114         3.6088          3.714         3.8282         3.9524         4.0877         4.2352         4.3966          4.555         4.7086         4.8839         5.0821         5.3049         5.5531         5.8293         6.1038         6.3871         6.7126         7.0857         7.4927         7.9068         8.4095         8.9809         9.6363          10.45         11.521         13.002         15.419         20.376           35.55   
      5       5        0        2.5841          2.625         2.6684         2.7166         2.7635          2.809         2.8533         2.8962         2.9378          2.978         3.0169         3.0544         3.0904         3.1251         3.1583         3.1901         3.2205         3.2495         3.2771         3.3033         3.3281         3.3516         3.3736         3.3943         3.4135         3.4314         3.4478         3.4627          3.476         3.4875         3.4975         3.5056         3.5118         3.5158         3.5176         3.5165         3.5127         3.5054         3.4943          3.479         3.4588         3.4332         3.4018         3.3633          3.316         3.2564         3.1838         3.0964         3.1587         3.2256         3.2977         3.3757         3.4593         3.5493         3.6459         3.7502          3.863         3.9857         4.1191         4.2646          4.424         4.5737         4.7264         4.8976         5.0901         5.3055          5.545         5.8129         6.0822         6.3551         6.6658         7.0188         7.4186         7.8114         8.2806         8.8448         9.4487         10.245         11.269         12.743         15.207         20.247           35.55   
      6       1        1        2.6152         2.6754         2.7367         2.8014         2.8634         2.9226         2.9788         3.0319         3.0817         3.1282         3.1713          3.211         3.2472         3.2801         3.3096         3.3359         3.3591         3.3792         3.3965         3.4108         3.4225         3.4316         3.4382         3.4424         3.4443         3.4441         3.4417         3.4374          3.431         3.4228         3.4127         3.4007         3.3868         3.3711         3.3533         3.3333          3.311         3.2859         3.2578         3.2266         3.1916         3.1525         3.1087         3.0598         3.0045         2.9421         2.8707         2.7588         2.8109         2.8662         2.9258           2.99         3.0595         3.1351         3.2112         3.2854         3.3652         3.4513         3.5484         3.6566         3.7772         3.9091          4.054          4.217         4.4013         4.6077         4.8167         5.0305         5.2709          5.538         5.8473         6.1995         6.5512         6.9537         7.4508         7.9978         8.6694         9.5079         10.642         12.262         14.936         20.212          36.052   
      7       2        1         2.678         2.7363         2.7967         2.8619         2.9253         2.9868         3.0461         3.1032         3.1578         3.2098         3.2591         3.3056          3.349         3.3894         3.4268         3.4611         3.4923         3.5205         3.5456         3.5677          3.587         3.6033         3.6169         3.6278         3.6361         3.6418          3.645         3.6459         3.6444         3.6406         3.6345         3.6261         3.6155         3.6026         3.5874         3.5696         3.5489         3.5252         3.4982         3.4674         3.4326         3.3933         3.3489         3.2988         3.2423         3.1782         3.1052          3.008         3.0642         3.1253          3.191          3.257         3.3209           3.39         3.4634          3.544         3.6332         3.7329         3.8431         3.9623         4.0928         4.2398         4.4048         4.5898         4.7857         4.9785          5.194         5.4307         5.6946         5.9959         6.3227         6.6559         7.0344         7.4862         7.9762         8.5473         9.2591         10.129         11.273          12.94         15.586          20.77          36.054   
      8       3        1        2.7864         2.8428         2.9018          2.966         3.0285         3.0891         3.1476          3.204          3.258         3.3095         3.3585         3.4048         3.4482         3.4889         3.5266         3.5614         3.5933         3.6223         3.6484         3.6717         3.6922           3.71         3.7251         3.7376         3.7475         3.7549           3.76         3.7626         3.7629         3.7608         3.7565         3.7498         3.7408         3.7295         3.7157         3.6992         3.6798         3.6573         3.6312         3.6014         3.5673         3.5287          3.485         3.4357         3.3799          3.317         3.2455         3.1625         3.2225         3.2826         3.3407         3.4028         3.4691           3.54         3.6181         3.7042          3.799         3.9031         4.0176         4.1432          4.282         4.4376         4.6112         4.7975         4.9789         5.1796         5.4024         5.6468          5.922         6.2314         6.5374         6.8777         7.2677         7.7214         8.1955          8.778         9.4647         10.334         11.448         13.051         15.605         20.683          36.074   
      9       4        1        2.8495         2.9021         2.9575         3.0183         3.0775          3.135         3.1906         3.2444         3.2962         3.3458         3.3932         3.4382         3.4808         3.5209         3.5584         3.5934         3.6257         3.6555         3.6826         3.7071         3.7289         3.7483         3.7651         3.7794         3.7912         3.8007         3.8077         3.8124         3.8148         3.8148         3.8124         3.8078         3.8008         3.7914         3.7794         3.7648         3.7471         3.7262         3.7018         3.6734         3.6409         3.6037         3.5616         3.5141         3.4605         3.3999         3.3307         3.2621         3.3184         3.3729         3.4315         3.4949         3.5618         3.6351         3.7157         3.8032         3.9004         4.0066         4.1242         4.2522         4.3948         4.5533         4.7295          4.904         5.0862         5.2892         5.5115         5.7577         6.0351         6.3358         6.6368         6.9736         7.3617         7.8019         8.2668         8.8409         9.5026         10.348         11.423         12.983         15.509         20.613           36.08   
     10       5        1        2.9142         2.9626         3.0136         3.0698          3.124         3.1763         3.2267         3.2749         3.3212         3.3654         3.4075         3.4474         3.4851         3.5206         3.5538         3.5848         3.6136         3.6401         3.6644         3.6864         3.7063          3.724         3.7396          3.753         3.7643         3.7735         3.7807         3.7858         3.7888         3.7897         3.7885         3.7852         3.7796         3.7718         3.7616         3.7487          3.733         3.7142          3.692         3.6661         3.6363         3.6022         3.5634         3.5194         3.4695         3.4126         3.3464          3.286         3.3388         3.3936         3.4525         3.5146         3.5829         3.6566         3.7374         3.8255         3.9213         4.0263         4.1421         4.2707         4.4135         4.5724         4.7469         4.9159         5.0958         5.2945         5.5108         5.7531         6.0281         6.3225          6.615         6.9396          7.317         7.7507         8.1964          8.748         9.3931         10.208         11.252         12.811         15.358          20.48          36.007   

Graph Mean Values:

mp_support_graph('cl_st_graph_title') = {'MEAN(value(KM,J)), a=age, z=kids+marry'};
mp_support_graph('cl_st_ytitle') = {'MEAN(value(KM,J))'};
ff_graph_grid((tb_az_v{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Savings Choices:

mp_support_graph('cl_st_graph_title') = {'MEAN(APRIME(KM,J)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(APRIME(KM,J))'};
ff_graph_grid((tb_az_ap{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Consumption:

mp_support_graph('cl_st_graph_title') = {'MEAN(C(KM,J)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(C(KM,J))'};
ff_graph_grid((tb_az_c{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

1.5 Analyze Education and Marriage and Age

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

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

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

Tabulate value and policies:

% Set
% NaN(n_jgrid,n_agrid,n_etagrid,n_educgrid,n_marriedgrid,n_kidsgrid);
ar_permute = [2,3,6,1,4,5];
% Value Function
tb_az_v = ff_summ_nd_array("MEAN(VAL(EKM,J))", V_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(VAL(EKM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    edu    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ___    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       0       0        -51.853        -50.513        -49.192        -47.891        -46.665        -45.509        -44.416        -43.382        -42.402        -41.472        -40.589        -39.749        -38.951        -38.191        -37.465        -36.773         -36.11        -35.475        -34.866         -34.28        -33.716        -33.171        -32.643        -32.132        -31.635         -31.15        -30.677        -30.213        -29.757        -29.309        -28.867         -28.43        -27.996        -27.566         -27.14         -26.72        -26.307        -25.905        -25.517        -25.149        -24.807        -24.505         -24.26        -24.106        -24.107        -24.394        -25.331        -28.968        -27.935        -26.912        -25.898        -24.892        -23.894        -22.907        -21.932        -20.968        -20.013        -19.065        -18.128        -17.208        -16.303        -15.416        -14.547        -13.701        -12.881        -12.088        -11.328          -10.6        -9.9053        -9.2443        -8.6155        -8.0177        -7.4486        -6.9061        -6.3861        -5.8847        -5.3953        -4.9081        -4.4017        -3.8421        -3.1714        -2.3139         -1.1947  
      2       1       0         -45.27        -43.745        -42.242        -40.768        -39.426        -38.199        -37.074         -36.04        -35.087        -34.205        -33.389        -32.631        -31.927        -31.269        -30.655        -30.078        -29.536        -29.025        -28.542        -28.083        -27.645        -27.227        -26.825        -26.438        -26.064          -25.7        -25.346            -25         -24.66        -24.325        -23.995        -23.669        -23.345        -23.023        -22.705        -22.391        -22.085        -21.789        -21.507        -21.243        -21.007        -20.808        -20.666        -20.612        -20.706        -21.074        -22.067        -25.787        -24.865        -23.951        -23.046        -22.149        -21.259         -20.38        -19.512        -18.654        -17.803         -16.96        -16.127        -15.309        -14.506        -13.717        -12.946        -12.195        -11.465        -10.761        -10.084        -9.4351        -8.8165        -8.2274         -7.667        -7.1341        -6.6269        -6.1437        -5.6808        -5.2349        -4.7998        -4.3664        -3.9152        -3.4152        -2.8157        -2.0506         -1.0565  
      3       0       1        -35.075        -33.966        -32.905        -31.884        -30.931        -30.041         -29.21        -28.434        -27.709        -27.032          -26.4        -25.811        -25.261        -24.749        -24.272        -23.828        -23.415         -23.03        -22.672        -22.338        -22.028        -21.739        -21.469        -21.218        -20.984        -20.765         -20.56        -20.367        -20.186        -20.016        -19.856        -19.703        -19.558        -19.419        -19.287        -19.163        -19.048        -18.942        -18.848        -18.769        -18.709        -18.672        -18.669        -18.716        -18.841        -19.102        -19.644        -21.148        -20.606        -20.055        -19.492        -18.919        -18.334        -17.741         -17.14        -16.531        -15.911        -15.282        -14.646        -14.007        -13.367        -12.725        -12.085        -11.448         -10.82        -10.202        -9.5999        -9.0147        -8.4493        -7.9044        -7.3802        -6.8766        -6.3925        -5.9271        -5.4771         -5.039         -4.606        -4.1683        -3.7069         -3.195        -2.5929        -1.8557         -0.9498  
      4       1       1        -30.407        -29.317        -28.272        -27.257        -26.324        -25.467        -24.677         -23.95        -23.278        -22.658        -22.086        -21.558        -21.071        -20.622        -20.207        -19.825        -19.472        -19.147        -18.847         -18.57        -18.315        -18.079        -17.861        -17.659        -17.473        -17.299        -17.139        -16.989        -16.849        -16.718        -16.596        -16.481        -16.372        -16.268        -16.171        -16.081        -15.998        -15.925        -15.863        -15.815        -15.784        -15.778        -15.803        -15.878        -16.029        -16.314        -16.875         -18.42        -17.953        -17.478        -16.993        -16.499        -15.994        -15.482        -14.963        -14.437        -13.902        -13.357        -12.806        -12.253        -11.697        -11.139        -10.582        -10.028        -9.4793        -8.9405        -8.4144        -7.9031        -7.4087        -6.9322        -6.4741        -6.0341        -5.6112        -5.2046        -4.8112        -4.4277         -4.048        -3.6635        -3.2577        -2.8069        -2.2773        -1.6292        -0.83413  

% Aprime Choice
tb_az_ap = ff_summ_nd_array("MEAN(AP(EKM,J))", ap_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(AP(EKM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    edu    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ___    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       0       0        34.297         34.264          34.23          34.24         34.251         34.261          34.27         34.278         34.286         34.293         34.299         34.305         34.309         34.313         34.315         34.317         34.318         34.319         34.318         34.317         34.315         34.312         34.309         34.305           34.3         34.295         34.289         34.283         34.276         34.269         34.262         34.255         34.247          34.24         34.232         34.225         34.218         34.212         34.208         34.204         34.202         34.202         34.205         34.211         34.221         34.236         34.258         32.701         32.639         32.573         32.504         32.432         32.353         32.267         32.175         32.077         31.973          31.86         31.735         31.598         31.448         31.292         31.131         30.957         30.768         30.554         30.318         30.061         29.788         29.502         29.186          28.82         28.419         27.999         27.497         26.913         26.244           25.4         24.291         22.728         20.187         15.151            0      
      2       1       0        34.094         34.043         33.989         34.039         34.091         34.143         34.196         34.248         34.299         34.348         34.394         34.437         34.476         34.512         34.544         34.572         34.596         34.616         34.633         34.646         34.655         34.662         34.666         34.667         34.667         34.664         34.661         34.656          34.65         34.643         34.637         34.631         34.625          34.62         34.616         34.614         34.614         34.616         34.621          34.63         34.643          34.66         34.683         34.712         34.748         34.794          34.85         32.693         32.631         32.565         32.496         32.423         32.344         32.258         32.166         32.069         31.965         31.851         31.727          31.59          31.44         31.283         31.123         30.949          30.76         30.546          30.31         30.053         29.778         29.494          29.18         28.816         28.415         27.997           27.5         26.917         26.255         25.414         24.308          22.75         20.209         15.168            0      
      3       0       1        34.773         34.793         34.812         34.883         34.955         35.027         35.098         35.168         35.238         35.305          35.37         35.433         35.492         35.548           35.6         35.649         35.693         35.732         35.767         35.797         35.823         35.843         35.859         35.869         35.875         35.877         35.873         35.866         35.855          35.84         35.821         35.799         35.775         35.747         35.718         35.687         35.654         35.621         35.587         35.553          35.52         35.489         35.459         35.431         35.406         35.384         35.368         33.654          33.56         33.465         33.368         33.269         33.167          33.06         32.949         32.833         32.712         32.582         32.444         32.297         32.137         31.962         31.772         31.575         31.369         31.149         30.913         30.659         30.376         30.065         29.742         29.391             29          28.55         28.065         27.488         26.804         25.947         24.836         23.228         20.635         15.482            0      
      4       1       1        34.672         34.686         34.698         34.828         34.962         35.098         35.235         35.371         35.505         35.636         35.762         35.882         35.995         36.102           36.2          36.29         36.371         36.442         36.505         36.558         36.603         36.638         36.665         36.684         36.695         36.699         36.696         36.687         36.673         36.653          36.63         36.602         36.572         36.539         36.505         36.469         36.433         36.398         36.364         36.333         36.304         36.278         36.257         36.241         36.231         36.228         36.236         33.851         33.749         33.647         33.543         33.435         33.326         33.213         33.096         32.975         32.847         32.711         32.564         32.408         32.241          32.06         31.864         31.661          31.45         31.226         30.985         30.726         30.439         30.126         29.802         29.448         29.058         28.608         28.121         27.546          26.86         26.004         24.896         23.287          20.69         15.527            0      

% Consumption Choices
tb_az_c = ff_summ_nd_array("MEAN(C(EKM,J))", cons_VFI, true, ["mean"], 3, 1, cl_mp_datasetdesc, ar_permute);

xxx  MEAN(C(EKM,J))  xxxxxxxxxxxxxxxxxxxxxxxxxxx
    group    edu    marry    mean_age_18    mean_age_19    mean_age_20    mean_age_21    mean_age_22    mean_age_23    mean_age_24    mean_age_25    mean_age_26    mean_age_27    mean_age_28    mean_age_29    mean_age_30    mean_age_31    mean_age_32    mean_age_33    mean_age_34    mean_age_35    mean_age_36    mean_age_37    mean_age_38    mean_age_39    mean_age_40    mean_age_41    mean_age_42    mean_age_43    mean_age_44    mean_age_45    mean_age_46    mean_age_47    mean_age_48    mean_age_49    mean_age_50    mean_age_51    mean_age_52    mean_age_53    mean_age_54    mean_age_55    mean_age_56    mean_age_57    mean_age_58    mean_age_59    mean_age_60    mean_age_61    mean_age_62    mean_age_63    mean_age_64    mean_age_65    mean_age_66    mean_age_67    mean_age_68    mean_age_69    mean_age_70    mean_age_71    mean_age_72    mean_age_73    mean_age_74    mean_age_75    mean_age_76    mean_age_77    mean_age_78    mean_age_79    mean_age_80    mean_age_81    mean_age_82    mean_age_83    mean_age_84    mean_age_85    mean_age_86    mean_age_87    mean_age_88    mean_age_89    mean_age_90    mean_age_91    mean_age_92    mean_age_93    mean_age_94    mean_age_95    mean_age_96    mean_age_97    mean_age_98    mean_age_99    mean_age_100
    _____    ___    _____    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ___________    ____________

      1       0       0        2.2603         2.2935         2.3281         2.3646         2.4003         2.4353         2.4696         2.5031         2.5358         2.5676         2.5986         2.6288          2.658         2.6863         2.7137         2.7402         2.7657         2.7903         2.8139         2.8365         2.8582         2.8789         2.8985         2.9172         2.9348         2.9515          2.967         2.9815         2.9948          3.007         3.0179         3.0275         3.0359         3.0427         3.0481         3.0516         3.0531         3.0523          3.049         3.0428         3.0334         3.0204         3.0034         2.9817         2.9543         2.9198         2.8768          2.831         2.8926         2.9586         3.0274         3.1002         3.1792         3.2647         3.3572         3.4547         3.5584         3.6722         3.7968         3.9336         4.0837         4.2399         4.4006         4.5748         4.7642         4.9777         5.2135         5.4705         5.7438         6.0293         6.3454         6.7115         7.1126         7.5332         8.0346          8.619         9.2873         10.131         11.241         12.804         15.345         20.381          35.532   
      2       1       0        2.4632         2.5143         2.5682         2.6279         2.6854         2.7407         2.7938         2.8446          2.893          2.939         2.9827         3.0239         3.0626          3.099          3.133         3.1647         3.1942         3.2216         3.2468           3.27         3.2913         3.3107         3.3283         3.3441         3.3581         3.3705         3.3812         3.3903         3.3975          3.403         3.4066         3.4083          3.408         3.4054         3.4003         3.3925         3.3816          3.367         3.3484         3.3251         3.2967         3.2623         3.2213         3.1725         3.1147         3.0461         2.9644         2.8752          2.937         3.0032         3.0721         3.1449          3.224         3.3095          3.402         3.4993         3.6029         3.7166         3.8413         3.9779         4.1281          4.285         4.4448         4.6186         4.8083         5.0221         5.2581         5.5148         5.7895         6.0737         6.3881         6.7521          7.153          7.571         8.0683         8.6514         9.3126         10.154          11.26         12.818         15.359           20.4          35.568   
      3       0       1         2.623         2.6679          2.714         2.7624         2.8096         2.8557         2.9005          2.944         2.9859         3.0262         3.0648         3.1016         3.1366         3.1696         3.2006         3.2296         3.2566         3.2815         3.3044         3.3252          3.344         3.3607         3.3755         3.3882          3.399         3.4079         3.4149           3.42         3.4233         3.4248         3.4244         3.4222         3.4183         3.4125         3.4049         3.3952         3.3832         3.3689          3.352         3.3322         3.3095         3.2833         3.2535         3.2197         3.1813         3.1377         3.0875         3.0279         3.0842         3.1426         3.2037         3.2679         3.3359         3.4095         3.4886          3.573         3.6649         3.7654         3.8756         3.9968         4.1315         4.2819         4.4489         4.6243         4.8092         5.0098         5.2268         5.4636         5.7299         6.0255         6.3339         6.6716         7.0509         7.4888         7.9636         8.5307         9.2063         10.056          11.16         12.763          15.35         20.499          35.978   
      4       1       1        2.9143         2.9798         3.0485         3.1246         3.1978         3.2682         3.3354         3.3994         3.4601         3.5173          3.571         3.6211         3.6676         3.7103         3.7495          3.785          3.817         3.8455         3.8705         3.8923         3.9108         3.9262         3.9385         3.9478         3.9543         3.9581         3.9592         3.9576         3.9535         3.9467         3.9374         3.9256         3.9112         3.8941         3.8741         3.8511         3.8247         3.7946         3.7604         3.7217          3.678         3.6289         3.5736         3.5114         3.4413         3.3623         3.2719          3.163         3.2177         3.2737         3.3328         3.3959         3.4618         3.5331         3.6097          3.692         3.7828         3.8827         3.9945         4.1172         4.2526          4.403         4.5697         4.7454           4.93           5.13         5.3473         5.5839         5.8504         6.1439         6.4498         6.7869         7.1618         7.5967         8.0708         8.6342         9.3093         10.155         11.255         12.856         15.447         20.605          36.128   

Graph Mean Values:

mp_support_graph('cl_st_graph_title') = {'MEAN(value(EM,J)), a=age, z=kids+marry'};
mp_support_graph('cl_st_ytitle') = {'MEAN(value(EM,J))'};
ff_graph_grid((tb_az_v{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Savings Choices:

mp_support_graph('cl_st_graph_title') = {'MEAN(APRIME(EK,J)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(APRIME(EK,J))'};
ff_graph_grid((tb_az_ap{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);

Graph Mean Consumption:

mp_support_graph('cl_st_graph_title') = {'MEAN(C(EK,J)), a=x, z=color'};
mp_support_graph('cl_st_ytitle') = {'MEAN(C(EK,J))'};
ff_graph_grid((tb_az_c{1:end, 4:end}), ar_row_grid, age_grid, mp_support_graph);