dynare/tests/moments/example1_var_decomp.mod

90 lines
2.2 KiB
Modula-2

/*
* Example 1 from F. Collard (2001): "Stochastic simulations with DYNARE:
* A practical guide" (see "guide.pdf" in the documentation directory).
*/
/*
* Copyright (C) 2001-2010 Dynare Team
*
* This file is part of Dynare.
*
* Dynare is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Dynare is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Dynare. If not, see <http://www.gnu.org/licenses/>.
*/
var y, c, k, a, h, b;
varexo e, u;
parameters beta, rho, alpha, delta, theta, psi, tau;
alpha = 0.36;
rho = 0.95;
tau = 0.025;
beta = 0.99;
delta = 0.025;
psi = 0;
theta = 2.95;
phi = 0;
model;
c*theta*h^(1+psi)=(1-alpha)*y;
k = beta*(((exp(b)*c)/(exp(b(+1))*c(+1)))
*(exp(b(+1))*alpha*y(+1)+(1-delta)*k));
y = exp(a)*(k(-1)^alpha)*(h^(1-alpha));
k = exp(b)*(y-c)+(1-delta)*k(-1);
a = rho*a(-1)+tau*b(-1) + e;
b = tau*a(-1)+rho*b(-1) + u;
end;
initval;
y = 1.08068253095672;
c = 0.80359242014163;
h = 0.29175631001732;
k = 11.08360443260358;
a = 0;
b = 0;
e = 0;
u = 0;
end;
shocks;
var e; stderr 0.009;
var u; stderr 0.009;
var e, u = phi*0.009*0.009;
end;
stoch_simul(relative_irf,order=1,periods=0);
oo_1_theoretic=oo_;
stoch_simul(relative_irf,order=1,periods=100000);
oo_1_simul=oo_;
stoch_simul(relative_irf,order=2,periods=0);
oo_2_theoretic=oo_;
set_dynare_seed('default');
stoch_simul(relative_irf,order=2,periods=100000);
oo_2_simul=oo_;
if max(max(abs(oo_1_theoretic.variance_decomposition-oo_1_simul.variance_decomposition)))>2
error('Variance Decomposition wrong')
end
if max(max(abs(oo_1_theoretic.variance_decomposition-oo_2_theoretic.variance_decomposition)))>1e-10
error('Theoretical Variance Decomposition wrong')
end
if max(max(abs(oo_2_theoretic.variance_decomposition-oo_2_simul.variance_decomposition)))>3
error('Variance Decomposition wrong')
end