DynareR is an R package that can run Dynare program from R Markdown.
Users need the following in order to knit this document:
Dynare 4.6.1 or above
Octave 5.2.0 or above
DynareR can be installed using the following commands in R.
Please load the DynareR package as follows:
```{r DynareR}
library(DynareR)
```Then create a chunk for dynare (adopted from Dynare example file BKK) as shown below:
```{dynare BKK,eval=T,echo=T,comment=NULL,results='hide'}
/*
* This file implements the multi-country RBC model with time to build,
* described in Backus, Kehoe and Kydland (1992): "International Real Business
* Cycles", Journal of Political Economy, 100(4), 745-775.
*
* The notation for the variable names are the same in this file than in the paper.
* However the timing convention is different: we had to taken into account the
* fact that in Dynare, if a variable is denoted at the current period, then
* this variable must be also decided at the current period.
* Concretely, here are the differences between the paper and the model file:
* - z_t in the model file is equal to z_{t+1} in the paper
* - k_t in the model file is equal to k_{t+J} in the paper
* - s_t in the model file is equal to s_{J,t}=s_{J-1,t+1}=...=s_{1,t+J-1} in the paper
*
* The macroprocessor is used in this file to create a loop over countries.
* Only two countries are used here (as in the paper), but it is easy to add
* new countries in the corresponding macro-variable and completing the
* calibration.
*
* The calibration is the same than in the paper. The results in terms of
* moments of variables are very close to that of the paper (but not equal
* since the authors a different solution method).
*
* This implementation was written by Sebastien Villemot. Please note that the
* following copyright notice only applies to this Dynare implementation of the
* model.
*/
/*
* Copyright (C) 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/>.
*/
@#define countries = [ "H", "F" ]
@#define J = 4
@#for co in countries
var C_@{co} L_@{co} N_@{co} A_@{co} K_@{co} Z_@{co} X_@{co} LAMBDA_@{co} S_@{co} NX_@{co} Y_@{co};
varexo E_@{co};
parameters beta_@{co} alpha_@{co} eta_@{co} mu_@{co} gamma_@{co} theta_@{co} nu_@{co} sigma_@{co} delta_@{co} phi_@{co} psi_@{co} rho_@{co}_@{co};
@#endfor
// Lagrange multiplier of aggregate constraint
var LGM;
parameters rho_@{countries[1]}_@{countries[2]} rho_@{countries[2]}_@{countries[1]};
model;
@#for co in countries
Y_@{co} = ((LAMBDA_@{co}*K_@{co}(-@{J})^theta_@{co}*N_@{co}^(1-theta_@{co}))^(-nu_@{co}) + sigma_@{co}*Z_@{co}(-1)^(-nu_@{co}))^(-1/nu_@{co});
K_@{co} = (1-delta_@{co})*K_@{co}(-1) + S_@{co};
X_@{co} =
@# for lag in (-J+1):0
+ phi_@{co}*S_@{co}(@{lag})
@# endfor
;
A_@{co} = (1-eta_@{co})*A_@{co}(-1) + N_@{co};
L_@{co} = 1 - alpha_@{co}*N_@{co} - (1-alpha_@{co})*eta_@{co}*A_@{co}(-1);
// Utility multiplied by gamma
# U_@{co} = (C_@{co}^mu_@{co}*L_@{co}^(1-mu_@{co}))^gamma_@{co};
// FOC with respect to consumption
psi_@{co}*mu_@{co}/C_@{co}*U_@{co} = LGM;
// FOC with respect to labor
// NOTE: this condition is only valid for alpha = 1
psi_@{co}*(1-mu_@{co})/L_@{co}*U_@{co}*(-alpha_@{co}) = - LGM * (1-theta_@{co})/N_@{co}*(LAMBDA_@{co}*K_@{co}(-@{J})^theta_@{co}*N_@{co}^(1-theta_@{co}))^(-nu_@{co})*Y_@{co}^(1+nu_@{co});
// FOC with respect to capital
@# for lag in 0:(J-1)
+beta_@{co}^@{lag}*LGM(+@{lag})*phi_@{co}
@# endfor
@# for lag in 1:J
-beta_@{co}^@{lag}*LGM(+@{lag})*phi_@{co}*(1-delta_@{co})
@# endfor
= beta_@{co}^@{J}*LGM(+@{J})*theta_@{co}/K_@{co}*(LAMBDA_@{co}(+@{J})*K_@{co}^theta_@{co}*N_@{co}(+@{J})^(1-theta_@{co}))^(-nu_@{co})*Y_@{co}(+@{J})^(1+nu_@{co});
// FOC with respect to stock of inventories
LGM=beta_@{co}*LGM(+1)*(1+sigma_@{co}*Z_@{co}^(-nu_@{co}-1)*Y_@{co}(+1)^(1+nu_@{co}));
// Shock process
@# if co == countries[1]
@# define alt_co = countries[2]
@# else
@# define alt_co = countries[1]
@# endif
(LAMBDA_@{co}-1) = rho_@{co}_@{co}*(LAMBDA_@{co}(-1)-1) + rho_@{co}_@{alt_co}*(LAMBDA_@{alt_co}(-1)-1) + E_@{co};
NX_@{co} = (Y_@{co} - (C_@{co} + X_@{co} + Z_@{co} - Z_@{co}(-1)))/Y_@{co};
@#endfor
// World ressource constraint
@#for co in countries
+C_@{co} + X_@{co} + Z_@{co} - Z_@{co}(-1)
@#endfor
=
@#for co in countries
+Y_@{co}
@#endfor
;
end;
@#for co in countries
beta_@{co} = 0.99;
mu_@{co} = 0.34;
gamma_@{co} = -1.0;
alpha_@{co} = 1;
eta_@{co} = 0.5; // Irrelevant when alpha=1
theta_@{co} = 0.36;
nu_@{co} = 3;
sigma_@{co} = 0.01;
delta_@{co} = 0.025;
phi_@{co} = 1/@{J};
psi_@{co} = 0.5;
@#endfor
rho_H_H = 0.906;
rho_F_F = 0.906;
rho_H_F = 0.088;
rho_F_H = 0.088;
initval;
@#for co in countries
LAMBDA_@{co} = 1;
NX_@{co} = 0;
Z_@{co} = 1;
A_@{co} = 1;
L_@{co} = 0.5;
N_@{co} = 0.5;
Y_@{co} = 1;
K_@{co} = 1;
C_@{co} = 1;
S_@{co} = 1;
X_@{co} = 1;
E_@{co} = 0;
@#endfor
LGM = 1;
end;
shocks;
var E_H; stderr 0.00852;
var E_F; stderr 0.00852;
corr E_H, E_F = 0.258;
end;
steady;
check;
stoch_simul(order=1, hp_filter=1600, nograph);
``` The above chunk creates a Dynare program with the chunk’s content, then automatically run Dynare, which will save Dynare outputs in the current directory.
The Impulse Response figures of the BKK model can be fetched using the following R chunk
However, Dynare figure can only be dynamically included if the output format is pdf as Dynare produces pdf and eps graphs only.
Please note that DynareR uses the chunk name as the model name. So, the outpus of Dynare are saved in a folder with its respective chunk name. Thus a new folder BKK will be created in your current working directory.
Please visit my Github for a better explanation and example files.