89 lines
2.7 KiB
Modula-2
89 lines
2.7 KiB
Modula-2
/*
|
|
* Example 1 from F. Collard (2001): "Stochastic simulations with DYNARE:
|
|
* A practical guide" (see "guide.pdf" in the documentation directory).
|
|
*
|
|
* This file uses the steady_state_model-block to provide analytical steady state values.
|
|
* To do so, the equations of the model have been transformed into a non-linear equation in
|
|
* labor h. Within the steady_state_model-block, a helper function is called that uses fsolve
|
|
* to solve this non-linear equation. The use of the helper function is necessary to avoid
|
|
* interference of the MATLAB syntax with Dynare's preprocessor. A more complicated alternative
|
|
* that provides more flexibility in the type of commands executed and functions called is the use
|
|
* of an explicit steady state file. See the NK_baseline.mod in the Examples Folder.
|
|
*
|
|
* This mod-file also shows how to use Dynare's capacities to generate TeX-files of the model equations.
|
|
* If you want to see the model equations belonging to this mod-file, run it using Dynare
|
|
* and then use a TeX-editor to compile the TeX-files generated.
|
|
*/
|
|
|
|
/*
|
|
* Copyright © 2013 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 <https://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
|
|
var y, c, k, a, h, b;
|
|
varexo e, u;
|
|
|
|
parameters beta $\beta$
|
|
rho $\rho$
|
|
alpha $\alpha$
|
|
delta $\delta$
|
|
theta $\theta$
|
|
psi $\psi$
|
|
tau $\tau$;
|
|
|
|
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)=(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;
|
|
|
|
steady_state_model;
|
|
h=example3_steady_state_helper(alpha,beta,delta,psi,theta);
|
|
k=((1/beta-(1-delta))/alpha)^(1/(alpha-1))*h;
|
|
y = k^alpha*h^(1-alpha);
|
|
c=(1-alpha)*y/(theta*h^(1+psi));
|
|
a=0;
|
|
b=0;
|
|
end;
|
|
|
|
shocks;
|
|
var e; stderr 0.009;
|
|
var u; stderr 0.009;
|
|
var e, u = phi*0.009*0.009;
|
|
end;
|
|
|
|
//use command to generate TeX-Files with dynamic and static model equations
|
|
write_latex_dynamic_model;
|
|
write_latex_static_model;
|
|
|
|
stoch_simul;
|