Perturbation methods for Markov-switching DSGE models
AbstractThis paper develops a general perturbation methodology for constructing high-order approximations to the solutions of Markov-switching DSGE models. We introduce an important and practical idea of partitioning the Markov-switching parameter space so that a steady state is well defined. With this definition, we show that the problem of finding an approximation of any order can be reduced to solving a system of quadratic equations. We propose using the theory of Grobner bases in searching all the solutions to the quadratic system. This approach allows us to obtain all the approximations and ascertain how many of them are stable. Our methodology is applied to three models to illustrate its feasibility and practicality.
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Bibliographic InfoPaper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2013-01.
Date of creation: 2013
Date of revision:
Other versions of this item:
- Andrew Foerster & Juan Rubio-Ramirez & Dan Waggoner & Tao Zha, 2013. "Perturbation methods for Markov-switching DSGE model," Research Working Paper RWP 13-01, Federal Reserve Bank of Kansas City.
- Foerster, Andrew & Rubio-Ramírez, Juan Francisco & Waggoner, Daniel F & Zha, Tao, 2013. "Perturbation Methods for Markov-Switching DSGE Models," CEPR Discussion Papers 9464, C.E.P.R. Discussion Papers.
- E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
- E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-04-06 (All new papers)
- NEP-DGE-2013-04-06 (Dynamic General Equilibrium)
- NEP-ECM-2013-04-06 (Econometrics)
- NEP-ORE-2013-04-06 (Operations Research)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jesus Fernández-Villaverde & Pablo Guerrón-Quintana & Juan F. Rubio-Ramírez, 2010. "Fortune or virtue: time-variant volatilities versus parameter drifting," Working Papers 10-14, Federal Reserve Bank of Philadelphia.
- Andrew T. Foerster, 2013. "Monetary policy regime switches and macroeconomic dynamic," Research Working Paper RWP 13-04, Federal Reserve Bank of Kansas City.
- Blagov , Boris & Funke, Michael, 2013. "The regime-dependent evolution of credibility: A fresh look at Hong Kong’s linked exchange rate system," BOFIT Discussion Papers 24/2013, Bank of Finland, Institute for Economies in Transition.
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