dynare/tests/pac/var-8/substitution.mod

84 lines
1.9 KiB
Modula-2

// --+ options: json=compute, stochastic +--
var y x z v;
varexo ex ey ez ;
parameters a_y_1 a_y_2 b_y_1 b_y_2 b_x_1 b_x_2 d_y; // VAR parameters
parameters beta e_c_m c_z_1 c_z_2; // PAC equation parameters
a_y_1 = .2;
a_y_2 = .3;
b_y_1 = .1;
b_y_2 = .4;
b_x_1 = -.1;
b_x_2 = -.2;
d_y = .5;
beta = .9;
e_c_m = .1;
c_z_1 = .7;
c_z_2 = -.3;
@#include "example1/model/pac-expectations/pacman-parameters.inc"
model;
[name='eq:y']
y = a_y_1*y(-1) + a_y_2*diff(x(-1)) + b_y_1*y(-2) + b_y_2*diff(x(-2)) + ey ;
[name='eq:x']
diff(x) = b_x_1*y(-2) + b_x_2*diff(x(-1)) + ex ;
[name='eq:v']
v = x + d_y*y ;
[name='eq:pac']
diff(z) = e_c_m*(x(-1)-z(-1)) + c_z_1*diff(z(-1)) + c_z_2*diff(z(-2)) +
@#include "example1/model/pac-expectations/pacman-expression.inc"
+ ez;
end;
shocks;
var ex = 1.0;
var ey = 1.0;
var ez = 1.0;
end;
// Set initial conditions to zero. Please use more sensible values if any...
initialconditions = dseries(zeros(10, M_.endo_nbr+M_.exo_nbr), 2000Q1, vertcat(M_.endo_names,M_.exo_names));
// Simulate the model for 20 periods
set_dynare_seed('default');
TrueData = simul_backward_model(initialconditions, 20);
verbatim;
set_dynare_seed('default');
y = zeros(M_.endo_nbr,1);
y(1:M_.orig_endo_nbr) = rand(M_.orig_endo_nbr, 1);
x = randn(M_.exo_nbr,1);
y = substitution.set_auxiliary_variables(y, x, M_.params);
y = [y(find(M_.lead_lag_incidence(1,:))); y];
example1 = load('example1.mat');
[residual, g1] = substitution.dynamic(y, x', M_.params, oo_.steady_state, 1);
if max(abs(example1.TrueData.data(:)-TrueData.data(:)))>1e-9
error('Simulations do not match.')
end
if ~isequal(length(residual), length(example1.residual)) || max(abs(example1.residual-residual))>1e-8
warning('Residuals do not match!')
end
if ~isequal(length(g1(:)), length(example1.g1(:))) || max(abs(example1.g1(:)-g1(:)))>1e-8
warning('Jacobian matrices do not match!')
end
end;