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Particle Filters for Markov Switching Stochastic Volatility Models

Yun Bao, Carl Chiarella and Boda Kang
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Yun Bao: Toyota Financial Services Australia

No 299, Research Paper Series from Quantitative Finance Research Centre, University of Technology, Sydney

Abstract: This paper proposes an auxiliary particle filter algorithm for inference in regime switching stochastic volatility models in which the regime state is governed by a first-order Markov chain. We proposes an ongoing updated Dirichlet distribution to estimate the transition probabilities of the Markov chain in the auxiliary particle filter. A simulation-based algorithm is presented for the method which demonstrated that we are able to estimate a class of models in which the probability that the system state transits from one regime to a different regime is relatively high. The methodology is implemented to analyze a real time series: the foreign exchange rate of Australian dollars vs South Korean won.

Keywords: Particle filters; Markov switching stochastic volatility models; Sequential Monte Carlo simulation (search for similar items in EconPapers)
JEL-codes: C61 D11 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2012-01-01
New Economics Papers: this item is included in nep-cmp, nep-ecm, nep-ets and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:uts:rpaper:299

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