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How Persistent is Stock Return Volatility? An Answer with Markov Regime Switching Stochastic Volatility Models

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  • Soosung Hwang
  • Steve E. Satchell
  • Pedro L. Valls Pereira

Abstract

We propose generalised stochastic volatility models with Markov regime changing state equations (SVMRS) to investigate the important properties of volatility in stock returns, specifically high persistence and smoothness. The model suggests that volatility is far less persistent and smooth than the conventional GARCH or stochastic volatility. Persistent short regimes are more likely to occur when volatility is low, while far less persistence is likely to be observed in high volatility regimes. Comparison with different classes of volatility supports the SVMRS as an appropriate proxy volatility measure. Our results indicate that volatility could be far more difficult to estimate and forecast than is generally believed.

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  • Soosung Hwang & Steve E. Satchell & Pedro L. Valls Pereira, 2007. "How Persistent is Stock Return Volatility? An Answer with Markov Regime Switching Stochastic Volatility Models," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 34(5‐6), pages 1002-1024, June.
    • Handle: RePEc:bla:jbfnac:v:34:y:2007:i:5-6:p:1002-1024
    DOI: 10.1111/j.1468-5957.2007.02025.x
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    3. Massimo Guidolin, 2011. "Markov Switching Models in Empirical Finance," Advances in Econometrics, in: Missing Data Methods: Time-Series Methods and Applications, pages 1-86, Emerald Group Publishing Limited.
    4. Subbotin, Alexandre, 2009. "Volatility Models: from Conditional Heteroscedasticity to Cascades at Multiple Horizons," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 15(3), pages 94-138.
    5. Pan, Qi & Li, Yong, 2013. "Testing volatility persistence on Markov switching stochastic volatility models," Economic Modelling, Elsevier, vol. 35(C), pages 45-50.
    6. Gulten Mero & Serge Darolles & Gaëlle Le Fol, 2015. "Financial Market Liquidity: Who Is Acting Strategically?," THEMA Working Papers 2015-14, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    7. Alexander Subbotin & Thierry Chauveau & Kateryna Shapovalova, 2009. "Volatility Models: from GARCH to Multi-Horizon Cascades," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00390636, HAL.
    8. Helena Isidro & José G. Dias, 2017. "Earnings quality and the heterogeneous relation between earnings and stock returns," Review of Quantitative Finance and Accounting, Springer, vol. 49(4), pages 1143-1165, November.
    9. Turhan Korkmaz & Emrah I. Çevik & Elif Birkan & Nesrin ÖzataÇ, 2010. "Testing Capm using Markov Switching Model: The Case of Coal Firms," Economic Research-Ekonomska Istraživanja, Taylor & Francis Journals, vol. 23(2), pages 44-59, January.
    10. Hotta, Luiz Koodi & Trucíos Maza, Carlos César & Pereira, Pedro L. Valls & Zevallos Herencia, Mauricio Henrique, 2024. "Forecasting VaR and ES through Markov-switching GARCH models: does the specication matter?," Textos para discussão 567, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    11. Dima, Bogdan & Dima, Ştefana Maria, 2017. "Mutual information and persistence in the stochastic volatility of market returns: An emergent market example," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 36-59.

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