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Parameter Estimation For A Regime-Switching Mean-Reverting Model With Jumps

Author

Listed:
  • PING WU

    (RBC Capital Markets, Royal Bank of Canada, Toronto, Ontario, Canada M5J2W7, Canada)

  • ROBERT J. ELLIOTT

    (Faculty of Management, University of Calgary, Alberta, Canada T6G2E1, Canada)

Abstract

In this paper we propose a type of mean reverting model with jumps, where the mean reverting level changes according to a continuous time, finite state Markov chain. This model could be applied to the interest rate and energy markets. We apply filtering techniques and obtain finite dimensional filters for the unobservable state of the Markov chain based on observations of the mean reverting diffusion. Various auxiliary filters are developed that allow us to estimate the parameters of the Markov chain by the EM algorithm. A simulation study is done for a concrete example.

Suggested Citation

  • Ping Wu & Robert J. Elliott, 2005. "Parameter Estimation For A Regime-Switching Mean-Reverting Model With Jumps," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(06), pages 791-806.
    • Handle: RePEc:wsi:ijtafx:v:08:y:2005:i:06:n:s0219024905003268
    DOI: 10.1142/S0219024905003268
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    References listed on IDEAS

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    1. Sanjiv R. Das, 1998. "Poisson-Guassian Processes and the Bond Markets," NBER Working Papers 6631, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Massimo Caccia & Bruno R'emillard, 2017. "Option Pricing and Hedging for Discrete Time Autoregressive Hidden Markov Model," Papers 1707.02019, arXiv.org.
    2. Timofei Bogomolov, 2013. "Pairs trading based on statistical variability of the spread process," Quantitative Finance, Taylor & Francis Journals, vol. 13(9), pages 1411-1430, September.

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