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Discrete-Time Volatility Forecasting With Persistent Leverage Effect and the Link With Continuous-Time Volatility Modeling

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  • Fulvio Corsi
  • Roberto Ren�
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    Abstract

    We first propose a reduced-form model in discrete time for S&P 500 volatility showing that the forecasting performance can be significantly improved by introducing a persistent leverage effect with a long-range dependence similar to that of volatility itself. We also find a strongly significant positive impact of lagged jumps on volatility, which however is absorbed more quickly. We then estimate continuous-time stochastic volatility models that are able to reproduce the statistical features captured by the discrete-time model. We show that a single-factor model driven by a fractional Brownian motion is unable to reproduce the volatility dynamics observed in the data, while a multifactor Markovian model fully replicates the persistence of both volatility and leverage effect. The impact of jumps can be associated with a common jump component in price and volatility. This article has online supplementary materials.

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    File URL: http://hdl.handle.net/10.1080/07350015.2012.663261
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Journal of Business & Economic Statistics.

    Volume (Year): 30 (2012)
    Issue (Month): 3 (January)
    Pages: 368-380

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    Handle: RePEc:taf:jnlbes:v:30:y:2012:i:3:p:368-380

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    Cited by:
    1. Souček, Michael & Todorova, Neda, 2014. "Realized volatility transmission: The role of jumps and leverage effects," Economics Letters, Elsevier, vol. 122(2), pages 111-115.
    2. Danilo Delpini & Giacomo Bormetti, 2012. "Stochastic Volatility with Heterogeneous Time Scales," Papers 1206.0026, arXiv.org, revised Apr 2013.
    3. Todorova, Neda & Souček, Michael, 2014. "The impact of trading volume, number of trades and overnight returns on forecasting the daily realized range," Economic Modelling, Elsevier, vol. 36(C), pages 332-340.
    4. Souček, Michael & Todorova, Neda, 2013. "Realized volatility transmission between crude oil and equity futures markets: A multivariate HAR approach," Energy Economics, Elsevier, vol. 40(C), pages 586-597.
    5. Todorova, Neda & Worthington, Andrew & Souček, Michael, 2014. "Realized volatility spillovers in the non-ferrous metal futures market," Resources Policy, Elsevier, vol. 39(C), pages 21-31.

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