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REPRO-Bench / 42 /replication_package /model_replication /Main Moving /simulate_new.m
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set(groot, 'DefaultAxesLineWidth', 1.5);
set(groot, 'DefaultLineLineWidth', 4);
set(groot, 'DefaultAxesTickLabelInterpreter','latex');
set(groot, 'DefaultLegendInterpreter','latex');
set(groot, 'DefaultAxesFontSize',24);
S = 5;
% Without intervention
Asim = zeros(2*N, T, S + 1);
Osim = zeros(2*N, T, S + 1);
Thsim = zeros(2*N, T, S + 1);
Hsim = zeros(2*N, T, S + 1);
Csim = zeros(2*N, T, S);
Lsim = zeros(2*N, T, S);
Dsim = zeros(2*N, T, S);
Ysim = zeros(2*N, T, S);
Zsim = zeros(2*N, T, S);
Esim = zeros(2*N, T, S);
Vsim = zeros(2*N, T, S);
Pallsim = zeros(2*N, 5, T, S);
Vallsim = zeros(2*N, 5, T, S);
Usim = zeros(2*N, T, S);
Agesim = zeros(2*N, T, S);
Asim(:, :, 1) = Asave(:, 1 : T);
Osim(:, :, 1) = Osave(:, 1 : T);
Thsim(:, :, 1) = Thsave(:, 1 : T);
Hsim(:, :, 1) = Hsave(:, 1 : T);
Csim(:, :, 1) = Csave(:, 1 : T);
Lsim(:, :, 1) = Lsave(:, 1 : T);
Dsim(:, :, 1) = Dsave(:, 1 : T);
Ysim(:, :, 1) = Ysave(:, 1 : T);
Zsim(:, :, 1) = Zsave(:, 1 : T);
Esim(:, :, 1) = Esave(:, 1 : T);
Vsim(:, :, 1) = Vsave(:, 1 : T);
Usim(:, :, 1) = Usave(:, 1 : T);
Deltasim(:, :, 1) = Deltasave(:, 1 : T);
Pallsim(:, :, :, 1) = Pallsave;
Vallsim(:, :, :, 1) = Vallsave;
Agesim(:,:,1) = repmat((1 : 1 : T), 2*N, 1);
index = nodeunif(N, 1e-14, 1 - 1e-14);
% First simulate history of shocks to income
for time = 2 : S
Agesim(:, :, time) = rem(Agesim(:, : , time - 1), T) + 1;
for initage = 1 : T % go over all initial age bins
unif = index(randperm(N)); unif = [unif; 1 - unif]; % mirror sampling
Fzcum = [zeros(2*N, 1), cumsum(Fzz(Zsim(:, initage, time - 1), :), 2)];
Zsim(:, initage, time) = ((unif < Fzcum(:, 2:end)).*(unif >= Fzcum(:,1:end-1)))*(1 : 1 : p.nz)';
unif = index(randperm(N)); unif = [unif; 1 - unif];
[~, bin] = histc(unif, Fecum); % bin is the index of e transitory shock
Esim(:, initage, time) = bin;
Ysim(:, initage, time) = p.lambdat(Agesim(:, initage, time)).*p.zgrid(Zsim(:, initage, time)).*p.egrid(Esim(:, initage, time));
end
Usim(:, :, time) = rand(2*N, T);
Deltasim(:, :, time) = rand(2*N, T);
Deltasim(:, :, time) = p.delta(1)*(Deltasim(:, :, time) <= p.pidelta(1)) + p.delta(2)*(Deltasim(:, :, time) > p.pidelta(1));
end
Asim(:, 1 : T - 1, 2) = Asave(:, 2 : T);
Asim(:, T, 2) = 0;
Osim(:, 1 : T - 1, 2) = Osave(:, 2 : T);
Osim(:, T, 2) = 0;
Thsim(:, 1 : T - 1, 2) = Thsave(:, 2 : T);
Thsim(:, T, 2) = 0;
Hsim(:, 1 : T - 1, 2) = Hsave(:, 2 : T);
Hsim(:, T, 2) = 0;
for time = 2 : S
for initage = 1 : T
age = Agesim(1, initage, time);
Whinterp = griddedInterpolant({p.lgrid, (1: 1: p.no*p.nt*p.nh*p.nz)'}, reshape(wh(:, age), p.nl, p.no*p.nt*p.nh*p.nz), intmeth, 'linear');
Wrinterp = griddedInterpolant({p.lgrid, (1: 1: p.nz)'}, reshape(wr(:, age), p.nl, p.nz), intmeth, 'linear');
rent = Hsim(:, initage, time) == 0;
% Renters
state = (1 + interest(Asim(rent, initage, time), p)).*Asim(rent, initage, time);
ntemp = numel(find(rent));
[Lall, Oall, Thall, Hall, Vsim(rent, initage, time), Pallsim(rent, 1 : 3, initage, time), Vallsim(rent, 1 : 3, initage, time)] = ...
solveh(state, Whinterp, Wrinterp, p, p.thetay(age), 'r', state(:, 1), Ysim(rent, initage, time), Zsim(rent, initage, time));
Pcum = [zeros(ntemp, 1), cumsum(Pallsim(rent, 1 : 3, initage, time), 2)];
Dsim(rent, initage, time) = ((Usim(rent, initage, time) < Pcum(:, 2:end)).*(Usim(rent, initage, time) >= Pcum(:,1:end-1)))*(1 : 1 : 3)';
ind = sub2ind([ntemp, 3], (1 : 1 : ntemp)', Dsim(rent, initage, time));
Lsim(rent, initage, time) = Lall(ind);
Osim(rent, initage, time + 1) = Oall(ind);
Thsim(rent, initage, time + 1) = Thall(ind);
Hsim(rent, initage, time + 1) = Hall(ind);
% Homeowners
Attemp = (1 + interest(Asim(~rent, initage, time), p)).*Asim(~rent, initage, time) - Deltasim(~rent, initage, time).*Hsim(~rent, initage, time);
state = [Attemp, Osim(~rent, initage, time), Thsim(~rent, initage, time), Hsim(~rent, initage, time)]; % others don't matter directly
hind = lookup1(p.hgrid, state(:, 4), 1);
tind = lookup1(p.tgrid, state(:, 3), 1);
ntemp = numel(find(~rent));
[Lall, Oall, Thall, Hall, Vsim(~rent, initage, time), Pallsim(~rent, :, initage, time), Vallsim(~rent, :, initage, time)] = ...
solveh(state, Whinterp, Wrinterp, p, p.thetay(age), 'h', state(:, 1), Ysim(~rent, initage, time), Zsim(~rent, initage, time), hind, tind);
Pcum = [zeros(ntemp, 1), cumsum(Pallsim(~rent, :, initage, time), 2)];
Dsim(~rent, initage, time) = ((Usim(~rent, initage, time) < Pcum(:, 2:end)).*(Usim(~rent, initage, time) >= Pcum(:,1:end-1)))*(1 : 1 : 5)';
ind = sub2ind([ntemp, 5], (1 : 1 : ntemp)', Dsim(~rent, initage, time));
Lsim(~rent, initage, time) = Lall(ind);
Osim(~rent, initage, time + 1) = Oall(ind);
Thsim(~rent, initage, time + 1) = Thall(ind);
Hsim(~rent, initage, time + 1) = Hall(ind);
% Find consumption
rent = Hsim(:, initage, time + 1) == 0;
Chint = griddedInterpolant({p.lgrid, p.ogrid, p.tgrid, p.hgrid, p.zgrid}, reshape(ch(:, age), p.nl, p.no, p.nt, p.nh, p.nz), intmeth, 'linear');
Crint = griddedInterpolant({p.lgrid, p.zgrid}, reshape(cr(:, age), p.nl, p.nz), intmeth, 'linear');
cmin = bisect('savings', 1e-13, 1e5, Lsim(rent, initage, time), p, 'r', amax); % c that implies a' = amin
cmax = bisect('savings', 1e-13, 1e5, Lsim(rent, initage, time), p, 'r', amin); % c that implies a' = amin
Csim(rent, initage, time) = max(min(Crint(Lsim(rent, initage, time), p.zgrid(Zsim(rent, initage, time))), cmax), cmin);
[~, Asim(rent, initage, time + 1)] = savings(Csim(rent, initage, time), Lsim(rent, initage, time), p, 'r'); % none of the other state variables matter
cmin = bisect('savings', 1e-13, 1e5, Lsim(~rent, initage, time), p, 'h', amax); % c that implies a' = amin
cmax = bisect('savings', 1e-13, 1e5, Lsim(~rent, initage, time), p, 'h', amin); % c that implies a' = amin
Csim(~rent, initage, time) = max(min(Chint(Lsim(~rent, initage, time), Osim(~rent,initage, time + 1), Thsim(~rent,initage, time + 1), Hsim(~rent,initage, time + 1), p.zgrid(Zsim(~rent, initage, time))), cmax), cmin);
[~, Asim(~rent, initage, time + 1)] = savings(Csim(~rent, initage, time), Lsim(~rent, initage, time), p, 'h'); % none of the other state variables matter
if age == T
Asim(:, initage, time + 1) = 0;
Osim(:, initage, time + 1) = 0;
Thsim(:, initage, time + 1) = 0;
Hsim(:, initage, time + 1) = 0;
end
end
end
Ct = zeros(S, 1);
Yt = zeros(S, 1);
At = zeros(S, 1);
Ht = zeros(S, 1);
Dt = zeros(S, 1);
Rt = zeros(S, 1);
MPRt = zeros(S, 1); % Beraja-Hurst propensity to refinance: amount of newly refinanced mortgages / outstanding stock of all existing mortgages
Emt = zeros(S, 1); % median equity (1 - LTV) for borrowers
for time = 1 : S
Ct(time) = mean(vec(Csim(:, :, time)));
Yt(time) = mean(vec(Ysim(:, :, time)));
Ht(time) = mean(vec(Hsim(:, :, time)));
At(time) = mean(vec(Asim(:, :, time)));
Dt(time) = mean(vec(Osim(:, :, time).*Thsim(:, :, time).*Hsim(:, :, time)));
Rt(time) = mean(vec(Dsim(:, :, time) == 4 & Hsim(:, :, time) > 0 & Osim(:, :, time).*Thsim(:, :, time) > 0))/mean(vec(Hsim(:, :, time) > 0 & Osim(:, :, time).*Thsim(:, :, time) > 0));
MPRt(time) = sum(vec((Dsim(:,:, time) == 4).*Osim(:, :, time + 1).*Thsim(:, :, time + 1).*Hsim(:, :, time + 1)))/...
sum(vec( Osim(:, :, time ).*Thsim(:, :, time ).*Hsim(:, :, time )));
LTV = vec(Osim(:, :, time).*Thsim(:, :, time));
Emt(time) = 1 - median(LTV(LTV > 0));
end
% With intervention
start_new;
Acsim = Asim;
Ocsim = Osim;
Thcsim = Thsim;
Hcsim = Hsim;
Ccsim = Csim;
Lcsim = Lsim;
Dcsim = Dsim;
Vcsim = zeros(2*N, T, S);
Pallcsim = Pallsim;
Vallcsim = Vallsim;
Rcsim = zeros(2*N, T, S + 1);
Rcsim(:, :, 1 : 2) = 1;
Ocsim(:, :, 2) = Osim(:,:,2)*p.adjustomega;
for time = 2 : S
for initage = 1 : T
age = Agesim(1, initage, time);
Whinterp = griddedInterpolant({p.lgrid, (1: 1: p.no*p.nt*p.nh*p.nr*p.nz)'}, reshape(wh(:, age), p.nl, p.no*p.nt*p.nh*p.nr*p.nz), intmeth, 'linear');
Wrinterp = griddedInterpolant({p.lgrid, (1: 1: p.nz)'}, reshape(wr(:, age), p.nl, p.nz), intmeth, 'linear');
rent = Hcsim(:, initage, time) == 0;
% Renters
state = (1 + interest(Acsim(rent, initage, time), p)).*Acsim(rent, initage, time);
ntemp = numel(find(rent));
[Lall, Oall, Thall, Hall, Vcsim(rent, initage, time), Pallcsim(rent, 1 : 3, initage, time), Vallcsim(rent, 1 : 3, initage, time)] = ...
solveh_new(state, Whinterp, Wrinterp, p, p.thetay(age), 'r', state(:,1), Ysim(rent, initage, time), Zsim(rent, initage, time));
Pcum = [zeros(ntemp, 1), cumsum(Pallcsim(rent, 1 : 3, initage, time), 2)];
Dcsim(rent, initage, time) = ((Usim(rent, initage, time) < Pcum(:, 2:end)).*(Usim(rent, initage, time) >= Pcum(:,1:end-1)))*(1 : 1 : 3)';
ind = sub2ind([ntemp, 3], (1 : 1 : ntemp)', Dcsim(rent, initage, time));
Lcsim(rent, initage, time) = Lall(ind);
Ocsim(rent, initage, time + 1) = Oall(ind);
Thcsim(rent, initage, time + 1) = Thall(ind);
Hcsim(rent, initage, time + 1) = Hall(ind);
% Homeowners
Attemp = (1 + interest(Acsim(~rent, initage, time), p)).*Acsim(~rent, initage, time) - Deltasim(~rent, initage, time).*Hcsim(~rent, initage, time);
state = [Attemp, Ocsim(~rent, initage, time), Thcsim(~rent, initage, time), Hcsim(~rent, initage, time), Rcsim(~rent, initage, time)]; % others don't matter directly
hind = lookup1(p.hgrid, state(:, 4), 1);
tind = lookup1(p.tgrid, state(:, 3), 1);
rind = state(:, 5); % made this state variable an index (1, 2), or else doesn't respect monotonicity
ntemp = numel(find(~rent));
[Lall, Oall, Thall, Hall, Vcsim(~rent, initage, time), Pallcsim(~rent, :, initage, time), Vallcsim(~rent, :, initage, time)] = ...
solveh_new(state, Whinterp, Wrinterp, p, p.thetay(age), 'h', state(:,1), Ysim(~rent, initage, time), Zsim(~rent, initage, time), hind, tind, rind);
Pcum = [zeros(ntemp, 1), cumsum(Pallcsim(~rent, :, initage, time), 2)];
unif = rand(ntemp, 1);
Dcsim(~rent, initage, time) = ((Usim(~rent, initage, time) < Pcum(:, 2:end)).*(Usim(~rent, initage, time) >= Pcum(:,1:end-1)))*(1 : 1 : 5)';
ind = sub2ind([ntemp, 5], (1 : 1 : ntemp)', Dcsim(~rent, initage, time));
Lcsim(~rent, initage, time) = Lall(ind);
Ocsim(~rent, initage, time + 1) = Oall(ind);
Thcsim(~rent, initage, time + 1) = Thall(ind);
Hcsim(~rent, initage, time + 1) = Hall(ind);
inactive = Dcsim(:, initage, time) == 5;
Rcsim(:, initage, time + 1) = Rcsim(:, initage, time).*inactive + p.nr.*(1 - inactive);
% Find consumption
rent = Hcsim(:, initage, time + 1) == 0;
Chint = griddedInterpolant({p.lgrid, p.ogrid, p.tgrid, p.hgrid, (1 : 1 : p.nr)', p.zgrid}, reshape(ch(:, age), p.nl, p.no, p.nt, p.nh, p.nr, p.nz), intmeth, 'linear');
Crint = griddedInterpolant({p.lgrid, p.zgrid}, reshape(cr(:, age), p.nl, p.nz), intmeth, 'linear');
cmin = bisect('savings', 1e-13, 1e5, Lcsim(rent, initage, time), p, 'r', amax); % c that implies a' = amin
cmax = bisect('savings', 1e-13, 1e5, Lcsim(rent, initage, time), p, 'r', amin); % c that implies a' = amin
Ccsim(rent, initage, time) = max(min(Crint(Lcsim(rent, initage, time), p.zgrid(Zsim(rent, initage, time))), cmax), cmin);
[~, Acsim(rent, initage, time + 1)] = savings(Ccsim(rent, initage, time), Lcsim(rent, initage, time), p, 'r'); % none of the other state variables matter
cmin = bisect('savings', 1e-13, 1e5, Lcsim(~rent, initage, time), p, 'h', amax); % c that implies a' = amin
cmax = bisect('savings', 1e-13, 1e5, Lcsim(~rent, initage, time), p, 'h', amin); % c that implies a' = amin
Ccsim(~rent, initage, time) = max(min(Chint(Lcsim(~rent, initage, time), Ocsim(~rent,initage, time + 1), Thcsim(~rent,initage, time + 1), Hcsim(~rent,initage, time + 1), Rcsim(~rent,initage, time + 1), p.zgrid(Zsim(~rent, initage, time))), cmax), cmin);
[~, Acsim(~rent, initage, time + 1)] = savings(Ccsim(~rent, initage, time), Lcsim(~rent, initage, time), p, 'h'); % none of the other state variables matter
if age == T
Acsim(:, initage, time + 1) = 0;
Ocsim(:, initage, time + 1) = 0;
Thcsim(:, initage, time + 1) = 0;
Hcsim(:, initage, time + 1) = 0;
end
end
end
Cct = zeros(S, 1);
Yct = zeros(S, 1);
Act = zeros(S, 1);
Hct = zeros(S, 1);
Dct = zeros(S, 1);
Rct = zeros(S, 1);
MPRct = zeros(S, 1); % Beraja-Hurst propensity to refinance: amount of newly refinanced mortgages / outstanding stock of all existing mortgages
Emct = zeros(S, 1); % median equity (1 - LTV) for borrowers
for time = 1 : S
Cct(time) = mean(vec(Ccsim(:, :, time)));
Hct(time) = mean(vec(Hcsim(:, :, time)));
Act(time) = mean(vec(Acsim(:, :, time)));
Dct(time) = mean(vec(Ocsim(:, :, time).*Thcsim(:, :, time).*p.Pgrid(Rcsim(:,:,time)).*Hcsim(:, :, time)));
Rct(time) = mean(vec(Dcsim(:, :, time) == 4 & Hcsim(:, :, time) > 0 & Ocsim(:, :, time).*Thcsim(:, :, time) > 0))/mean(vec(Hcsim(:, :, time) > 0 & Ocsim(:, :, time).*Thcsim(:, :, time) > 0));
MPRct(time) = sum(vec((Dcsim(:,:, time) == 4).*Ocsim(:, :, time + 1).*Thcsim(:, :, time + 1).*p.Pgrid(Rcsim(:, :, time + 1)).*Hcsim(:, :, time + 1)))/...
sum(vec( Ocsim(:, :, time ).*Thcsim(:, :, time ).*p.Pgrid(Rcsim(:, :, time )).*Hcsim(:, :, time )));
if time == 1
LTV = vec(Ocsim(:, :, time).*Thcsim(:, :, time));
else
LTV = vec(Ocsim(:, :, time).*Thcsim(:, :, time).*p.Pgrid(Rcsim(:,:,time)))/p.Pgrid(p.nr);
end
Emct(time) = 1 - median(LTV(LTV > 0));
end
% Characteristics of those who refinance: with and without the shock
Wsim = Asim + Hsim.*(1 - Osim.*Thsim);
time = 2;
Wtemp = Wsim(:, :, time); % only state variables
Atemp = Asim(:, :, time);
LTV = Osim(:, :, time).*Thsim(:, :, time);
Htemp = Hsim(:, :, time);
LY = Atemp./Ysim(:, :, time);
Sh = 1 - Atemp./Wtemp;
Agetemp = Agesim(:, :, time)/4 + 25;
Ytemp = Ysim(:, :, time);
refin = Dsim(:, :, time) == 4 & Hsim(:, :, time) > 0;
owner = Hsim(:, :, time) > 0;
fprintf('\n');
fprintf('Characteristics of Refinancers Absent Shock\n');
fprintf('\n');
fprintf('All, Refinance, Dont Refinance\n');
fprintf('\n');
fprintf('\n');
fprintf('Mean Liquid Assets = %9.2f %9.2f %9.2f \n', [mean(Atemp(owner)), mean(Atemp(owner & refin)), mean(Atemp(owner & ~refin))]);
fprintf('Mean Income = %9.2f %9.2f %9.2f \n', [mean(Ytemp(owner)), mean(Ytemp(owner & refin)), mean(Ytemp(owner & ~refin))]);
fprintf('Mean Liquid Asset to Income = %9.2f %9.2f %9.2f \n', [mean(LY(owner)), mean(LY(owner & refin)), mean(LY(owner & ~refin))]);
fprintf('Mean Share Housing Wealth = %9.2f %9.2f %9.2f \n', [mean(Sh(owner)), mean(Sh(owner & refin)), mean(Sh(owner & ~refin))]);
fprintf('Mean Wealth = %9.2f %9.2f %9.2f \n', [mean(Wtemp(owner)), mean(Wtemp(owner & refin)), mean(Wtemp(owner & ~refin))]);
fprintf('Mean LTV = %9.2f %9.2f %9.2f \n', [mean(LTV(owner)), mean(LTV(owner & refin)), mean(LTV(owner & ~refin))]);
fprintf('Mean House = %9.2f %9.2f %9.2f \n', [mean(Htemp(owner)), mean(Htemp(owner & refin)), mean(Htemp(owner & ~refin))]);
fprintf('Mean Age = %9.2f %9.2f %9.2f \n', [mean(Agetemp(owner)), mean(Agetemp(owner & refin)), mean(Agetemp(owner & ~refin))]);
fprintf('\n');
fprintf('\n');
Wcsim = zeros(size(Acsim));
Wcsim(:,:, 1) = Acsim(:, :, 1) + p.Pgrid(1)*Hcsim(:, :, 1).*(1 - Ocsim(:, :, 1).*Thcsim(:, :, 1));
Wcsim(:, :, 2: end) = Acsim(:, :, 2 : end) + p.Pgrid(p.nr)*Hcsim(:,:,2:end) - p.Pgrid(Rcsim(:,:,2:end)).*Ocsim(:, :, 2:end).*Thcsim(:, :, 2:end);
time = 2;
Wtemp = Wcsim(:, :, time); % only state variables
Atemp = Acsim(:, :, time);
LTV = Ocsim(:, :, time).*Thcsim(:, :, time);
Htemp = Hcsim(:, :, time);
LY = Atemp./Ysim(:, :, time);
Sh = 1 - Atemp./Wtemp;
Agetemp = Agesim(:, :, time)/4 + 25;
Ytemp = Ysim(:, :, time);
refin = Dcsim(:, :, time) == 4 & Hcsim(:, :, time) > 0;
owner = Hcsim(:, :, time) > 0;
fprintf('\n');
fprintf('Characteristics of Refinancers With Shock\n');
fprintf('\n');
fprintf('All, Refinance, Dont Refinance\n');
fprintf('\n');
fprintf('\n');
fprintf('Mean Liquid Assets = %9.2f %9.2f %9.2f \n', [mean(Atemp(owner)), mean(Atemp(owner & refin)), mean(Atemp(owner & ~refin))]);
fprintf('Mean Income = %9.2f %9.2f %9.2f \n', [mean(Ytemp(owner)), mean(Ytemp(owner & refin)), mean(Ytemp(owner & ~refin))]);
fprintf('Mean Liquid Asset to Income = %9.2f %9.2f %9.2f \n', [mean(LY(owner)), mean(LY(owner & refin)), mean(LY(owner & ~refin))]);
fprintf('Mean Share Housing Wealth = %9.2f %9.2f %9.2f \n', [mean(Sh(owner)), mean(Sh(owner & refin)), mean(Sh(owner & ~refin))]);
fprintf('Mean Wealth = %9.2f %9.2f %9.2f \n', [mean(Wtemp(owner)), mean(Wtemp(owner & refin)), mean(Wtemp(owner & ~refin))]);
fprintf('Mean LTV = %9.2f %9.2f %9.2f \n', [mean(LTV(owner)), mean(LTV(owner & refin)), mean(LTV(owner & ~refin))]);
fprintf('Mean House = %9.2f %9.2f %9.2f \n', [mean(Htemp(owner)), mean(Htemp(owner & refin)), mean(Htemp(owner & ~refin))]);
fprintf('Mean Age = %9.2f %9.2f %9.2f \n', [mean(Agetemp(owner)), mean(Agetemp(owner & refin)), mean(Agetemp(owner & ~refin))]);
fprintf('\n');
fprintf('\n');
% MPC out of transfer in Ganong-Noel Experiment
time = 2;
Transfer = (p.mbargrid(p.nr) - p.mbargrid(Rcsim(:, :, time))).*Thcsim(:, :, time).*p.Pgrid(Rcsim(:,:,time)).*Hcsim(:,:,time).*(Dcsim(:, :, time) == 5).*(Osim(:,:,time) > 0);
dC = (Ccsim(:, :, time) - p.phi^(1 + 1/p.gamma)*Ccsim(:, :, time).^(-p.sigma/p.gamma) - (Csim(:, :, time) - p.phi^(1 + 1/p.gamma)*Csim(:, :, time).^(-p.sigma/p.gamma)));
dA = Acsim(:, :, time + 1) - Asim(:, :, time + 1);
htm = Acsim(:, :, time + 1) <= 1/6.5*Ysim(:,:,time);
gains = Vcsim(:, :, time) - Vsim(:, :, time);
good = Transfer > 0 & Dcsim(:, :, time) == 5 & Dsim(:, :, time) == 5;
MPC = dC(good)./Transfer(good);
gains = gains(good);
htm = htm(good);
fbenefit = mean(gains > 0);
fprintf('\n')
fprintf('Fraction who benefit = %9.2f \n', fbenefit);
fprintf('\n')
fprintf('MPC, mean = %9.2f %9.2f %9.2f \n', [mean(MPC(gains > 0)), mean(MPC(gains > 0 & htm)), mean(MPC(gains > 0 & ~htm)) ]);
fprintf('MPC, 10th pctile = %9.2f %9.2f %9.2f \n', [prctile(MPC(gains > 0), 10), prctile(MPC(gains > 0 & htm), 10), prctile(MPC(gains > 0 & ~htm), 10)]);
fprintf('MPC, 25th pctile = %9.2f %9.2f %9.2f \n', [prctile(MPC(gains > 0), 25), prctile(MPC(gains > 0 & htm), 25), prctile(MPC(gains > 0 & ~htm), 25)]);
fprintf('MPC, 50th pctile = %9.2f %9.2f %9.2f \n', [prctile(MPC(gains > 0), 50), prctile(MPC(gains > 0 & htm), 50), prctile(MPC(gains > 0 & ~htm), 50)]);
fprintf('MPC, 75th pctile = %9.2f %9.2f %9.2f \n', [prctile(MPC(gains > 0), 75), prctile(MPC(gains > 0 & htm), 75), prctile(MPC(gains > 0 & ~htm), 75)]);
fprintf('MPC, 90th pctile = %9.2f %9.2f %9.2f \n', [prctile(MPC(gains > 0), 90), prctile(MPC(gains > 0 & htm), 90), prctile(MPC(gains > 0 & ~htm), 90)]);