// Example 1 from Collard's guide to Dynare
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   = 0.1;

model;
c*theta*h^(1+psi)=(expectation(1)((1-alpha)*y)+expectation(-2)((1-alpha)*y))/2;
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;

steady_state_model;
a = 0;
b = 0;
h = 1/3;
k = ((1/beta-(1-delta))/(alpha*h^(1-alpha)))^(1/(alpha-1));
y = k^alpha*h^(1-alpha);
c = y - delta*k;
theta = (1-alpha)*y/(c*h^(1+psi));
end;

steady;

shocks;
var e; stderr 0.009;
var u; stderr 0.009;
var e, u = phi*0.009*0.009;
end;

stoch_simul(order=1,irf=0);