how to get measurement equation

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how to get measurement equation

Postby emma » Mon Sep 03, 2007 11:37 pm

Hi,

Just want to verify some details about the model solving in Dynare.

1. What kind of method is used to solve the linearized model in dynare? (Sim's QZ decompostion, right? )
2.It seems that the result can be expressed in the form
Y(t)=A*Y(t-1)+B*e(t)
and all the variables are put in Y. Then, measurement equation is part of the above equation, right? Is there a straightford way to extract the measurement equations?

Thanks.
emma
 
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Re: how to get measurement equation

Postby MichelJuillard » Tue Sep 04, 2007 7:24 pm

1. What kind of method is used to solve the linearized model in dynare? (Sim's QZ decompostion, right? )

Right

2.It seems that the result can be expressed in the form
Y(t)=A*Y(t-1)+B*e(t)
and all the variables are put in Y.

Right, but this is more like a transition equation

Then, measurement equation is part of the above equation, right? Is there a straightford way to extract the measurement equations?


When Dynare is used for estimation, the measurement equation
has the following form
[code]
Y*(t) = M*Ybar + M*Y(t)+X(t) + eta(t)
[code]
where Y*(t) are the observed variables
M is a selection matrix (one only observes a few variables in general)
Ybar is the steady state (this assumes Y(t) represents deviation from steady state)
X(t) is an exogenous linear trend (using observation_trend)
eta(t) is a vector of measurement errors


Best

Michel
[/quote]
MichelJuillard
 
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