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Log linearization Help!

PostPosted: Sun May 10, 2015 9:27 pm
by student23
Dear all,

I need some advice whether I correctly linearized the equation for capital evoluation with a multiplicative investment efficiancy shock:

K(t) = (1-delta)*K(t-1) + i(t)*I(t) where i(t) is an investment efficiency shock

I log linerized this equation arount the steady state and got the following: Khat = (1-delta)*Khat(-1) + delta*Ihat + ihat;

Am I correct in that?

Cheers,

Dirk

Re: Log linearization Help!

PostPosted: Mon May 11, 2015 5:20 am
by jpfeifer
I think there is a delta missing in front of the efficiency shock. It is multiplicative with I and should thus have the same prefactor.