Perturbation methods for Markov-switching DSGE models

Andrew Foerster, Juan F Rubio-Ramirez, Daniel Waggoner and Tao Zha

No 2014-16, FRB Atlanta Working Paper from Federal Reserve Bank of Atlanta

Abstract: Markov-switching DSGE (MSDSGE) modeling has become a growing body of literature on economic and policy issues related to structural shifts. This paper develops a general perturbation methodology for constructing high-order approximations to the solutions of MSDSGE models. Our new method, called \"the partition perturbation method,\" partitions the Markov-switching parameter space to keep a maximum number of time-varying parameters from perturbation. For this method to work in practice, we show how to reduce the potentially intractable problem of solving MSDSGE models to the manageable problem of solving a system of quadratic polynomial equations. We propose to use the theory of Grbner bases for solving such a quadratic system. This approach allows us to first obtain all the solutions and then determine how many of them are stable. We illustrate the tractability of our methodology through two examples.

Keywords: partition principle; naive perturbation; uncertainty; Taylor series; high-order expansion; time-varying coefficients; nonlinearity; Gröbner bases (search for similar items in EconPapers)
JEL-codes: C6 E3 G1 (search for similar items in EconPapers)
Pages: 39 pages
Date: 2014-08-01
New Economics Papers: this item is included in nep-dge, nep-mac and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (34)

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Related works:
Working Paper: Perturbation Methods for Markov-Switching DSGE Models (2014)
Working Paper: Perturbation Methods for Markov-Switching DSGE Models (2013)
Working Paper: Perturbation Methods for Markov-Switching DSGE Models (2013)
Working Paper: Perturbation methods for Markov-switching DSGE models (2013)
Working Paper: Perturbation methods for Markov-switching DSGE model (2013)
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