Marginal Likelihood for Markov-Switching and Change-Point GARCH Models

Luc Bauwens, Arnaud Dufays and Jeroen V.K. Rombouts

Cahiers de recherche from CIRPEE

Abstract: GARCH volatility models with fixed parameters are too restrictive for long time series due to breaks in the volatility process. Flexible alternatives are Markov-switching GARCH and change-point GARCH models. They require estimation by MCMC methods due to the path dependence problem. An unsolved issue is the computation of their marginal likelihood, which is essential for determining the number of regimes or change-points. We solve the problem by using particle MCMC, a technique proposed by Andrieu, Doucet and Holenstein (2010). We examine the performance of this new method on simulated data, and we illustrate its use on several return series.

Keywords: Bayesian inference; Simulation; GARCH; Markov-switching model; Change-point model; Marginal likelihood; Particle; MCMC (search for similar items in EconPapers)
JEL-codes: C11 C15 C22 C58 (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (6)

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Related works:
Journal Article: Marginal likelihood for Markov-switching and change-point GARCH models (2014)
Working Paper: Marginal likelihood for Markov-switching and change-point GARCH models (2014)
Working Paper: Marginal Likelihood for Markov-switching and Change-point Garch Models (2011)
Working Paper: Marginal Likelihood for Markov-Switching and Change-Point Garch Models (2011)
Working Paper: Marginal likelihood for Markov-switching and change-point GARCH models (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:lvl:lacicr:1138

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