Confused with the timing

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Confused with the timing

Postby firefoxxp » Sat Apr 13, 2013 6:46 am

Hi everyone.
I am confused with the timing in dynare.
As in the simplest example in the user guide, there is one equatio "i=k-(1-delta)*k(-1)". I wonder why can't write "k(-1)=(1-delta)*k(-2)+i(-1)", what decide a equation's timing. Thanks a lot for your help.
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Re: Confused with the timing

Postby jpfeifer » Sat Apr 13, 2013 4:48 pm

You specify the timing in the way that results from the optimization problem at hand. The household in your example decides at time t on investment and faces the constraint
Code: Select all
i=k-(1-delta)*k(-1)

i.e. that it has to take the capital stock of last period as given and by investing today decides on the capital stock at the end of the period (i.e. k)

Your second timing would imply that the constraint the household faces at time t only relates to past choices. This constraint would not even involve the investment chosen at time t.
------------
Johannes Pfeifer
University of Cologne
https://sites.google.com/site/pfeiferecon/
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