I am a student from the University of Berlin and I am currently working on replicating Galí (2007) article “Understanding the effects of government spending”.
Where I struggle is to log-linearize equation (5) describing the dynamics of Tobins-Q:
with the resulting log-linearized equation being (23) in the image.
The other equations are straightforward to log-linearize, but this particular one I struggle with. Any guidance in the right direction is much appreciated.
First of all, thanks for offering your help. After hours of trial-and-error I finally managed to get it right. My problem was getting the right value of R^k, and Iuckily I found the steady state value herefor in the appendix. So I suppose the lesson is always to pay attention to details.
Me and my Bachelor mate are also currently stuck at this linearisation. At the moment I don’t have any clue how even to begin as nothing has made sense to this point. Would you be willing to share the derivation with us?
I am currently sitting with the same problem as Peter did (but with time-varying depreciation), and I have not been able to find the steps of the log-linearization of Q anywhere.
Equation 5 did not Log-linearized in that initial form.
You can work on it and transfer it to a different simpler equation for Tobin’s Q and after this step you can linear that equation by Uhlig’s method.