Solving the SOE model of Gali and Monacelli

[greg68]

Hi,

I am trying to solve Gali and Monacelli (2005)'s small open economy model using Dynare (see the attached .mod file). However, Dynare says that the Blanchard-Kahn conditions are not satisfied (6 eigenvalues larger than 1 in modulus for 7 forward-looking variables).

What worries me is that, the calibration and equations I use are identical to the ones given in Monacelli's own Gauss code (irnew3.prg) which is given on his website. I have run his code and it works fine. He uses the Anderson-Moore algorithm to solve the system.

http://www.igier.uni-bocconi.it/whos.ph ... id_doc=177

Could you please help me understand why the same equations work in the Gauss code but not in Dynare?

Could anybody share a working version of a Dynare code for a small open economy model similar to Gali and Monacelli?

Greg68

[gozhan]

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[JamieHall]

Hi guys,

I've attached a working version of the Gali Monacelli model. It reproduces the impulse responses in Figure 1 of the NBER Working Paper.

Not sure why Dynare has trouble with the UIP condition. I have a hunch: from equation (18) and Appendix 1 of the paper, we know that the exchange rate is pinned down uniquely; but Dynare can't read Appendix 1. So when you tell it "e(+1) - e = r - r_star", it thinks that "e" isn't determined. (But then why would Monacelli's AIM be able to solve it? --- and given that, why would Dynare's AIM fail...?)

In any case, as the authors explain, UIP is redundant if you have a risk-sharing equation. So I followed that route.

Hope that helps.....

Jamie

[jpfeifer]

A replication file for the Gali/Monacelli (2005): Monetary Policy and Exchange Rate Volatility in a Small Open Economy", Review of Economic Studies 72, pp. 707-734 is available at https://github.com/JohannesPfeifer/DSGE_mod