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Volatility dynamics under duration-dependent mixing

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  • Maheu, John M.
  • McCurdy, Thomas H.

Abstract

This paper proposes a new approach to modeling volatility changes and clustering. In particular, we use a parsimonious high-order Markov chain which allows for duration dependence. As in the standard 1st-order Markov-switching model, this structure can capture turning points and shifts in volatility due, for example, to policy changes or news events. However, unlike the 1st-order model, the duration-dependent Markov switching model is suited to exploiting the persistence associated with volatility clustering. To highlight the features of our model, we compare it to a popular benchmark, the GARCH model. Unlike the latter, the proposed parameterization allows time-varying persistence, includes a stochastic component for volatility, and incorporates anticipated discrete changes in the level of volatility. The empirical distribution generated by our proposed structure works well for the samples of data used in this paper. Implications for forecasts relevant for risk management are emphasized.
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  • Maheu, John M. & McCurdy, Thomas H., 2000. "Volatility dynamics under duration-dependent mixing," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 345-372, November.
    • Handle: RePEc:eee:empfin:v:7:y:2000:i:3-4:p:345-372
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    Cited by:

    1. John M. Maheu & Thomas H. McCurdy & Yong Song, 2012. "Components of Bull and Bear Markets: Bull Corrections and Bear Rallies," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 391-403, February.
    2. Shyh-Wei Chen & Chung-Hua Shen, 2007. "Evidence of the duration-dependence from the stock markets in the Pacific Rim economies," Applied Economics, Taylor & Francis Journals, vol. 39(11), pages 1461-1474.
    3. Keddad, Benjamin, 2024. "Asian stock market volatility and economic policy uncertainty: The role of world and regional leaders," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 91(C).
    4. Lunde A. & Timmermann A., 2004. "Duration Dependence in Stock Prices: An Analysis of Bull and Bear Markets," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 253-273, July.
    5. Chenxing Li & John M. Maheu & Qiao Yang, 2024. "An infinite hidden Markov model with stochastic volatility," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(6), pages 2187-2211, September.
    6. Laurent Calvet & Adlai Fisher, 2003. "Regime-Switching and the Estimation of Multifractal Processes," Harvard Institute of Economic Research Working Papers 1999, Harvard - Institute of Economic Research.
    7. Shamsi Zamenjani, Azam, 2021. "Do financial variables help predict the conditional distribution of the market portfolio?," Journal of Empirical Finance, Elsevier, vol. 62(C), pages 327-345.
    8. Suhejla Hoti & Esfandiar Maasoumi & Michael McAleer & Daniel Slottje, 2009. "Measuring the Volatility in U.S. Treasury Benchmarks and Debt Instruments," Econometric Reviews, Taylor & Francis Journals, vol. 28(6), pages 522-554.
    9. Fernando H.P.S Mendes & João Frois Caldeira & Guilherme Valle Moura, 2019. "Duration-dependent Markov-switching model: an empirical study for the Brazilian business cycle," Economics Bulletin, AccessEcon, vol. 39(1), pages 676-685.
    10. Jeff Fleming & Chris Kirby, 2013. "Component-Driven Regime-Switching Volatility," Journal of Financial Econometrics, Oxford University Press, vol. 11(2), pages 263-301, March.
    11. Focardi, Sergio M. & Fabozzi, Frank J. & Mazza, Davide, 2019. "Modeling local trends with regime shifting models with time-varying probabilities," International Review of Financial Analysis, Elsevier, vol. 66(C).

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