Impulse Responses: Timing of predetermined variables

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Impulse Responses: Timing of predetermined variables

Postby jpfeifer » Thu Mar 04, 2010 8:34 am

Hi everyone,

I have a question for clarification of the timing of impulse responses in Dynare. I am currently using the statement

Code: Select all
predetermined_variables k;


combined with a standard law of motion for capital

Code: Select all
k(+1)=(1-delta)*k+i;


Now I let Dynare compute impulse responses to some contemporaneous exogenous shock called epsilon (think of it for example as a temporary shock to TFP that enters the production function) by saying

Code: Select all
shocks;
var epsilon; stderr 1;

stoch_simul(order=1,irf=40) y k;


I realize that according to the manual, the shock hits at time t=1 on the x-axis in the resulting plots. However, I note that k also moves on impact (period 1), which should not happen as it is predetermined. Does Dynare internally shift predetermined variables to the old notation (i.e. k is used as k(-1)), so that the impulse response plotted is shifted by one period for predetermined states? I mean, does the impulse response to k at t=1 actually happen at t=2 or am I doing something wrong in my model? I would appreciate any help as I could not find any information in the documentation about the impulse response timing for predetermined variables.

Johannes
------------
Johannes Pfeifer
University of Cologne
https://sites.google.com/site/pfeiferecon/
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Re: Impulse Responses: Timing of predetermined variables

Postby SébastienVillemot » Tue Mar 09, 2010 9:17 am

Hi,

Yes basically Dynare shifts the predetermined variables from one period, back to the old notation (i.e. k is used as k(-1)).

Best
Sébastien Villemot
Economist at OFCE – Sciences Po
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