Rewrote examples for single equation contribution plots.

The mod files are self documented, and serve as a user guide for the
`plot_contributions` command.
time-shift
Stéphane Adjemian (Scylla) 2017-07-28 12:39:14 +02:00
parent 5d0d943f0f
commit 85e946b0a8
4 changed files with 160 additions and 37 deletions

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#!/bin/sh
rm -rf contrib1
rm -f contrib1.m contrib1_dynamic.m contrib1_set_auxiliary_variables.m contrib1.json contrib1_original.json
rm -f contrib1_static.json contrib1.log contrib1_dynamic.json contrib1_results.mat contrib1_static.m
rm -rf contrib2
rm -f contrib2.m contrib2_dynamic.m contrib2_set_auxiliary_variables.m contrib2.json contrib2_original.json
rm -f contrib2_static.json contrib2.log contrib2_dynamic.json contrib2_results.mat contrib2_static.m

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// --+ options: json=compute +--
/* REMARK
** ------
**
** You need to have the first line on top of the mod file. The options defined on this line are passed
** to the dynare command (you can add other options, separated by spaces or commas). The option defined
** here is mandatory for the decomposition. It forces Dynare to output another representation of the
** model in a json file (additionaly to the matlab files) which is used here to manipulate the equation
** of interest.
*/
// Declaration of the endogenous variables
var ffr, unrate, cpi;
// Declaration of the exogenous variables
varexo e_ffr, e_unrate, e_cpi;
// Declaration of the model. Note that you must associate a name to the equations. This is mandatory to
// select the equation for which you need to perform the decomposition.
model;
[name='ffr']
ffr = adl(ffr, 'p_ffr_ffr', [1:3]) + adl(unrate, 'p_ffr_unrate', 1) + adl(cpi, 'p_ffr_cpi', [4]);
[name='unrate']
unrate = adl(unrate, 'p_ffr_unrate', [4 2 5]) + adl(cpi, 'p_unrate_cpi', 6);
[name='cpi']
cpi = adl(ffr, 'p_cpi_ffr', 2) + adl(cpi, 'p_cpi_cpi', [2]);
end;
// Implicit parameters associated to the adl command must be calibrated after the model block.
p_ffr_ffr_lag_1 = 1;
p_ffr_ffr_lag_2 = p_ffr_ffr_lag_1*.5;
p_ffr_ffr_lag_3 = p_ffr_ffr_lag_2*.5;
p_ffr_unrate_lag_1 = 2;
p_ffr_cpi_lag_4 = 3;
// Actual paths for the variables. You migth instead do a stochastic simulation of the model
// to define these paths.
ds1 = dseries(randn(30, 3), 1990Q1, {'ffr', 'unrate', 'cpi'});
// Baseline paths for the variables.
ds0 = dseries(zeros(30, 3), 1990Q1, {'ffr', 'unrate', 'cpi'});
/* Trigger the decomposition in levels of an equation
**
** - First argument (ffr) is the name of the equation to be decomposed.
** - Second argument (ds1) is a dseries object containing the actual paths of the endogenous and exogenous variables.
** - Third argument (ds0) is a dseries object containing the baseline paths of the endogenous and exogenous variables.
**
** If there is no error (missing variables, undefined equations, ...) a figure will pop up with displaying the
** contributions of the variables appearing on the right hand side of equation `ffr`. Note that the overall contribution
** of each variable (at all lags) is reported. If you want to decompose these aggregates, you need to rewrite the
** model as shown in the other mod file in the same folder (contrib2.mod).
*/
plot_contributions ffr ds1 ds0 ;

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// --+ options: json=compute +--
/* REMARKS
** -------
**
** Please, firt read the content of contrib1.mod.
**
** I consider the same model as in contrib1.mod, but here we want to obtain the contributions of
** the variables to `ffr` at all lags (individually). To do this we need to add variables for all
** the lags, add corresponding equations (defining the new variables) and add the new variables
** in the dseries objects.
*/
// Declaration of the endogenous variables
var ffr, unrate, cpi;
// Define additional variables
var ffr_lag_1, ffr_lag_2, ffr_lag_3, unrate_lag_1, cpi_lag_4;
// Declaration of the exogenous variables
varexo e_ffr, e_unrate, e_cpi;
// Declare the parameters appearing in the equation to be decomposed.
parameters p_ffr_ffr_lag_1 p_ffr_ffr_lag_2 p_ffr_ffr_lag_3 p_ffr_unrate_lag_1 p_ffr_cpi_lag_4;
// Declaration of the model. Note that you must associate a name to the equations. This is mandatory to
// select the equation for which you need to perform the decomposition.
model;
[name='ffr']
//ffr = adl(ffr, 'p_ffr_ffr', [1:3]) + adl(unrate, 'p_ffr_unrate', 1) + adl(cpi, 'p_ffr_cpi', [4]);
ffr = p_ffr_ffr_lag_1*ffr_lag_1 + p_ffr_ffr_lag_2*ffr_lag_2 + p_ffr_ffr_lag_3*ffr_lag_3
+ p_ffr_unrate_lag_1*unrate_lag_1
+ p_ffr_cpi_lag_4*cpi_lag_4;
[name='unrate']
unrate = adl(unrate, 'p_ffr_unrate', [4 2 5]) + adl(cpi, 'p_unrate_cpi', 6);
[name='cpi']
cpi = adl(ffr, 'p_cpi_ffr', 2) + adl(cpi, 'p_cpi_cpi', [2]);
// Definitions of the auxiliary variables (we don't need names for these equations).
ffr_lag_1 = ffr(-1);
ffr_lag_2 = ffr(-2);
ffr_lag_3 = ffr(-3);
unrate_lag_1 = unrate(-1);
cpi_lag_4 = cpi(-4);
end;
// Implicit parameters associated to the adl command must be calibrated after the model block.
p_ffr_ffr_lag_1 = 1;
p_ffr_ffr_lag_2 = p_ffr_ffr_lag_1*.5;
p_ffr_ffr_lag_3 = p_ffr_ffr_lag_2*.5;
p_ffr_unrate_lag_1 = 2;
p_ffr_cpi_lag_4 = 3;
// Actual paths for the variables. You migth instead do a stochastic simulation of the model
// to define these paths.
ds1 = dseries(randn(30, 3), 1990Q1, {'ffr', 'unrate', 'cpi'});
// Create auxiliary variables as dseries objects
verbatim;
ffr_lag_1 = dseries(ds1.ffr(-1).data, ds1.firstdate, 'ffr_lag_1');
ffr_lag_2 = dseries(ds1.ffr(-2).data, ds1.firstdate, 'ffr_lag_2');
ffr_lag_3 = dseries(ds1.ffr(-3).data, ds1.firstdate, 'ffr_lag_3');
unrate_lag_1 = dseries(ds1.unrate(-1).data, ds1.firstdate, 'unrate_lag_1');
cpi_lag_4 = dseries(ds1.cpi(-4).data, ds1.firstdate, 'cpi_lag_4');
end;
// Put them in ds1
ds1 = [ds1, ffr_lag_1, ffr_lag_2, ffr_lag_3, unrate_lag_1, cpi_lag_4];
// Baseline paths for the variables.
ds0 = dseries(zeros(30, 8), 1990Q1, {'ffr', 'unrate', 'cpi', 'ffr_lag_1', 'ffr_lag_2', 'ffr_lag_3', 'unrate_lag_1', 'cpi_lag_4'});
/* Trigger the decomposition in levels of an equation
**
** - First argument (ffr) is the name of the equation to be decomposed.
** - Second argument (ds1) is a dseries object containing the actual paths of the endogenous and exogenous variables.
** - Third argument (ds0) is a dseries object containing the baseline paths of the endogenous and exogenous variables.
**
** If there is no error (missing variables, undefined equations, ...) a figure will pop up with displaying the
** contributions of the variables appearing on the right hand side of equation `ffr`.
*/
plot_contributions ffr ds1 ds0 ;

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// --+ options: json=compute +--
var ffr, unrate, cpi;
varexo e_ffr, e_unrate, e_cpi;
model;
[eqnum='ffr']
ffr = adl(ffr, 'p_ffr_ffr', [1:3]) + adl(unrate, 'p_ffr_unrate', 1) + adl(cpi, 'p_ffr_cpi', [4]);
[eqnum='unrate']
unrate = adl(unrate, 'p_ffr_unrate', [4 2 5]) + adl(cpi, 'p_unrate_cpi', 6);
[eqnum='cpi']
cpi = adl(ffr, 'p_cpi_ffr', 2) + adl(cpi, 'p_cpi_cpi', [2]);
end;
// Must be calibrated after the model block
p_ffr_ffr_lag_1 = 1;
p_ffr_ffr_lag_2 = p_ffr_ffr_lag_1*.5;
p_ffr_ffr_lag_3 = p_ffr_ffr_lag_2*.5;
p_ffr_unrate_lag_1 = 2;
p_ffr_cpi_lag_4 = 3;
// Actual paths for the variables.
ds1 = dseries(randn(30, 3), 1, {'ffr', 'unrate', 'cpi'});
// Baseline paths for the variables.
ds0 = dseries(zeros(30, 3), 1, {'ffr', 'unrate', 'cpi'});
olseqs(ds1, 'eqnum', {'ffr', 'cpi'});
sur(ds1);
surgibbs(ds1, randn(17,17), 1000);
plot_contributions('eqnum', 'ffr', ds1, ds0);