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