68 lines
2.2 KiB
Modula-2
68 lines
2.2 KiB
Modula-2
// Uses autonomous system from sim_base.mod, but adds separate system where exogenous and endogenous variables have several leads and lags
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// Lags and leads on variables are substituted out by auxiliary variables
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var c k z_backward z_forward x_lag_1 x_lag_2 x_lag_3 x_lag_4 x_lead_1 x_lead_2 x_lead_3 x_lead_4
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z_backward_lag_1 z_backward_lag_2 z_backward_lag_3 z_forward_lead_1 z_forward_lead_2;
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varexo x;
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parameters alph gam delt bet aa;
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alph=0.5;
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gam=0.5;
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delt=0.02;
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bet=0.05;
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aa=0.5;
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model;
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c + k - aa*x*k(-1)^alph - (1-delt)*k(-1); // Resource constraint
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c^(-gam) - (1+bet)^(-1)*(aa*alph*x(+1)*k^(alph-1) + 1 - delt)*c(+1)^(-gam); // Euler equation
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z_backward=0.4*0.5+0.2*z_backward_lag_1+0.2*z_backward_lag_2+0.2*z_backward_lag_3 + (x_lag_4-1);
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z_forward=0.1*1+0.45*z_forward_lead_1+0.45*z_forward_lead_2+(x_lead_4-1);
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z_backward_lag_1=z_backward(-1);
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z_backward_lag_2=z_backward_lag_1(-1);
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z_backward_lag_3=z_backward_lag_2(-1);
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z_forward_lead_1=z_forward(+1);
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z_forward_lead_2=z_forward_lead_1(+1);
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x_lag_1=x(-1);
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x_lag_2=x_lag_1(-1);
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x_lag_3=x_lag_2(-1);
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x_lag_4=x_lag_3(-1);
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x_lead_1=x(+1);
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x_lead_2=x_lead_1(+1);
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x_lead_3=x_lead_2(+1);
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x_lead_4=x_lead_3(+1);
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end;
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initval;
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c = 1.2;
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k = 12;
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x = 1; %set x(0)
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x_lag_1 = 1.3; %sets x(-1)
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x_lag_2 = 1.3; %sets x(-2)
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z_backward=0.5;
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z_backward_lag_1=0.4;
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z_backward_lag_2=0.9;
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end;
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shocks;
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var x; %sets x(+2)
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periods 2;
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values 0.9;
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end;
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simul(periods=200,maxit=100);
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if ~oo_.deterministic_simulation.status
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error('Perfect foresight simulation failed')
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end
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base_results=load(['sim_base' filesep 'Output' filesep 'sim_base_results.mat']);
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if max(abs(base_results.oo_.endo_simul(strmatch('c',base_results.M_.endo_names,'exact'),1+base_results.M_.maximum_endo_lag:end-base_results.M_.maximum_endo_lead) -...
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oo_.endo_simul(strmatch('c',M_.endo_names,'exact'),1+M_.maximum_endo_lag:end-M_.maximum_endo_lead)))>1e-8 || ...
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max(abs(base_results.oo_.endo_simul(strmatch('k',base_results.M_.endo_names,'exact'),1+base_results.M_.maximum_endo_lag:end-base_results.M_.maximum_endo_lead) -...
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oo_.endo_simul(strmatch('k',M_.endo_names,'exact'),1+M_.maximum_endo_lag:end-M_.maximum_endo_lead)))>1e-8
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error('Autonomous system part is wrong')
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end
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