dynare/tests/stochastic-backward-models/solow_ces.mod

51 lines
1.7 KiB
Modula-2

var Efficiency // $A$
EfficiencyGrowth // $X$
Population // $L$
PopulationGrowth // $N$
Output // $Y$
PhysicalCapitalStock ; // $K$
varexo e_x // $\varepsilon_x$
e_n ; // $\varepsilon_n$
parameters alpha // $\alpha$
epsilon // $\varepsilon$
delta // $\delta$
s // $s$
rho_x // $\rho_x$
rho_n // $\rho_n$
EfficiencyGrowth_ss // $X^{\star}$
PopulationGrowth_ss ; // $N^{\star}$
alpha = .33;
epsilon = .70;
delta = .02;
s = .20;
rho_x = .90;
rho_n = .95;
EfficiencyGrowth_ss = 1.02;
PopulationGrowth_ss = 1.02;
model;
Efficiency = EfficiencyGrowth*Efficiency(-1);
EfficiencyGrowth/EfficiencyGrowth_ss = (EfficiencyGrowth(-1)/EfficiencyGrowth_ss)^(rho_x)*exp(e_x);
Population = PopulationGrowth*Population(-1);
PopulationGrowth/PopulationGrowth_ss = (PopulationGrowth(-1)/PopulationGrowth_ss)^(rho_n)*exp(e_n);
Output = (alpha*PhysicalCapitalStock(-1)^((epsilon-1)/epsilon)+(1-alpha)*(Efficiency*Population)^((epsilon-1)/epsilon))^(epsilon/(epsilon-1));
PhysicalCapitalStock = (1-delta)*PhysicalCapitalStock(-1) + s*Output;
end;
histval;
Efficiency(0) = 1;
EfficiencyGrowth(0) = 1.02;
Population(0) = 1;
PopulationGrowth(0) = 1.02;
PhysicalCapitalStock(0) = 1;
end;
shocks;
var e_x = 0;
var e_n = 0;
end;
simulations = simul_backward_model([], 500);