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Pricing options on assets with predictable white noise returns

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  • Leon, Angel
  • Sentana, Enrique
Abstract
We study the effect of predictability of an asset's return on the prices of options on that asset, for models in which returns are serially uncorrelated, yet predictable on the basis of a larger information set. We show that return predictability may matter in a discrete time world, especially for longer maturity options. However, discrepancies between the frequency of trading and observation become relevant in estimating the model parameters. When trading is continuous, Black-Scholes is valid, and the sample variance of holding returns over finite periods is an appropriate estimator of the variance of instantaneous returns.

Suggested Citation

  • Leon, Angel & Sentana, Enrique, 1997. "Pricing options on assets with predictable white noise returns," LSE Research Online Documents on Economics 119177, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:119177
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    File URL: http://eprints.lse.ac.uk/119177/
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    References listed on IDEAS

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    1. Fiorentini, Gabriele & Sentana, Enrique, 1998. "Conditional Means of Time Series Processes and Time Series Processes for Conditional Means," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1101-1118, November.
    2. Lo, Andrew W & Wang, Jiang, 1995. "Implementing Option Pricing Models When Asset Returns Are Predictable," Journal of Finance, American Finance Association, vol. 50(1), pages 87-129, March.
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    10. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212, Elsevier.
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    Cited by:

    1. Mencía, Javier & Sentana, Enrique, 2013. "Valuation of VIX derivatives," Journal of Financial Economics, Elsevier, vol. 108(2), pages 367-391.

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    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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