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Proxies for daily volatility

Author

Listed:
  • Robin de Vilder

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, KdVI - Korteweg-de Vries Institute for Mathematics - UvA - University of Amsterdam [Amsterdam] = Universiteit van Amsterdam)

  • Marcel P. Visser

    (KdVI - Korteweg-de Vries Institute for Mathematics - UvA - University of Amsterdam [Amsterdam] = Universiteit van Amsterdam)

Abstract

High frequency data are often used to construct proxies for the daily volatility in discrete time volatility models. This paper introduces a calculus for such proxies, making it possible to compare and optimize them. The two distinguishing features of the approach are (1) a simple continuous time extension of discrete time volatility models and (2) an abstract definition of volatility proxy. The theory is applied to eighteen years worth of S&P 500 index data. It is used to construct a proxy that outperforms realized volatility.

Suggested Citation

  • Robin de Vilder & Marcel P. Visser, 2007. "Proxies for daily volatility," Working Papers halshs-00588307, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00588307
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00588307
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    References listed on IDEAS

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