82 lines
2.3 KiB
Modula-2
82 lines
2.3 KiB
Modula-2
@#define extended_path_version = 1
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var Capital, Output, Labour, Consumption, Investment, Output1, Labour1, Consumption1, Output2, Labour2, Consumption2, Efficiency, efficiency, ExpectedTerm, LagrangeMultiplier;
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varexo EfficiencyInnovation;
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parameters beta, theta, tau, alpha, psi, delta, rho, effstar, sigma;
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@#include "rbcii-calibration.inc"
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model(use_dll);
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efficiency = rho*efficiency(-1) + sigma*EfficiencyInnovation;
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Efficiency = effstar*exp(efficiency);
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(((Consumption1^theta)*((1-Labour1)^(1-theta)))^(1-tau))/Consumption1 - beta*ExpectedTerm(1) + LagrangeMultiplier(1)*beta*(1-delta);
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ExpectedTerm = ((((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption)*(alpha*((Output/Capital(-1))^(1-psi))+1-delta);
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LagrangeMultiplier = max(0, (((Consumption^theta)*((1-Labour)^(1-theta)))^(1-tau))/Consumption - beta*ExpectedTerm(1) + LagrangeMultiplier(1)*beta*(1-delta));
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((1-theta)/theta)*(Consumption1/(1-Labour1)) - (1-alpha)*(Output1/Labour1)^(1-psi);
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Output1 = Efficiency*(alpha*(Capital(-1)^psi)+(1-alpha)*(Labour1^psi))^(1/psi);
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Consumption2 = Output2;
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((1-theta)/theta)*(Consumption2/(1-Labour2)) - (1-alpha)*(Output2/Labour2)^(1-psi);
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Output2 = Efficiency*(alpha*(Capital(-1)^psi)+(1-alpha)*(Labour2^psi))^(1/psi);
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Consumption = (Output1 > Consumption1)*Consumption1 + (1-(Output1 > Consumption1))*Consumption2;
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Labour = (Output1 > Consumption1)*Labour1 + (1-(Output1 > Consumption1))*Labour2;
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Output = (Output1 > Consumption1)*Output1 + (1-(Output1 > Consumption1))*Output2;
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Capital = Output-Consumption + (1-delta)*Capital(-1);
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Investment = Capital - (1-delta)*Capital(-1);
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end;
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@#if extended_path_version
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shocks;
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var EfficiencyInnovation = 1;
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end;
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steady(nocheck);
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options_.ep.stochastic.order = 0;
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ts = extended_path([], 200, [], options_, M_, oo_);
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ts.save('rbcii-sim-data');
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options_.ep.stochastic.order = 1;
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ts1_4 = extended_path([], 200, [], options_, M_, oo_);
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@#else
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shocks;
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var EfficiencyInnovation;
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periods 1;
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values -.8;
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end;
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steady;//(nocheck);
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options_.simul.maxit = 100;
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perfect_foresight_setup(periods=4000);
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perfect_foresight_solver;
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n = 100;
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figure('Name','(rbcii) Investment.');
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plot(Output(1:n)-Consumption(1:n),'-b','linewidth',2)
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@#endif
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