New-keynesian model for a 2-country union

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New-keynesian model for a 2-country union

Postby Student1 » Fri Oct 07, 2016 9:01 am

Dear all,

I am trying to replicate in a simple way the model of S. Brissimis and I. Skotida (2008, JIMF): http://www.sciencedirect.com/science/article/pii/S0261560607001362
It consists in a simple 3-equation model: Phillips curve(5), AD curve and implicit instrument rule ((5),(6),(10)). For the multicountry version: the model consists in 5 equations: for each of the 2 countries('e','d') a Phillips and AD curve and a common instrument rule ((14)-(17),(23)).

While the version of the monetary union with aggregate data works fine, the multicountry version does not: It only incorporates 3 eigenvalues larger than 1 for 4 forward looking variables [x_e(+1), ppi_e(+1), x_d(+1), ppi_d(+1)].

Does anyone have an idea what could be the origin of the problem?

Many thanks in advance!

brissimisloop2.mod
union-wide model
(2.58 KiB) Downloaded 113 times

brissimisloopmulti2.mod
multi-country model (problematic)
(3.34 KiB) Downloaded 102 times
Student1
 
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Re: New-keynesian model for a 2-country union

Postby jpfeifer » Fri Oct 07, 2016 4:19 pm

Replicating a paper is hard. The only way I see is rechecking all equations in your paper and their paper as well as the parameterization. You could use the TeX-capabilities of the Dynare unstable version to make your life easier. See e.g. https://github.com/DynareTeam/dynare/blob/master/tests/TeX/fs2000_corr_ME.mod
------------
Johannes Pfeifer
University of Cologne
https://sites.google.com/site/pfeiferecon/
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Re: New-keynesian model for a 2-country union

Postby Student1 » Sat Oct 08, 2016 2:13 pm

Thank you for the tip and the fast reply, Johannes! The Tex option basically enables me to see the outputs and e.g. parameter tables in latex form, rigth? Does it also return me something if the model is not working yet?
But you think, the problem can only be due to adopting their equations or paramters incorrectly, so that the necessary condition for the eigenvalues to be bigger than 1 is not fullfilled? Or could it also be due to the fact that they assume for example the natural rate of interest as constant, while I have seen it usually as a time dependent variable in similar models replicated here? Many Thanks again!
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Re: New-keynesian model for a 2-country union

Postby jpfeifer » Sat Oct 08, 2016 3:58 pm

You can generate TeX output for the model equations and the parameter tables independently of the Blanchard-Kahn conditions.

The natural rate of interest is typically an exogenous process. It does not matter whether it is constant or time-varying. So this should not be an issue. The problem is most likely due to i) you incorrectly implementing their model or ii) their presentation of the model in the paper being wrong.
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Johannes Pfeifer
University of Cologne
https://sites.google.com/site/pfeiferecon/
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Re: New-keynesian model for a 2-country union

Postby Student1 » Sat Oct 08, 2016 6:40 pm

Ok! Thank you for your help!
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