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On Estimating an Asset's Implicit Beta

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  • Sven Husmann
  • Andreas Stephan

Abstract

Siegel (1995) has developed a technique with which the systematic risk of a security (beta) can be estimated without recourse to historical capital market data. Instead, beta is estimated implicitly from the current market prices of exchange options that enable the exchange of a security against shares on the market index. Because this type of exchange options is not currently traded on the capital markets, Siegel's technique cannot yet be used in practice. This article will show that beta can also be estimated implicitly from the current market prices of plain vanilla options, based on the Capital Asset Pricing Model. We provide empirical evidence on implicit betas using prices of exchange options from the EUREX over years 2000 to 2004.

Suggested Citation

  • Sven Husmann & Andreas Stephan, 2006. "On Estimating an Asset's Implicit Beta," Discussion Papers of DIW Berlin 640, DIW Berlin, German Institute for Economic Research.
  • Handle: RePEc:diw:diwwpp:dp640
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    References listed on IDEAS

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    1. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    2. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    3. Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. " Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-1632, December.
    4. Berk, Jonathan B, 1995. "A Critique of Size-Related Anomalies," Review of Financial Studies, Society for Financial Studies, vol. 8(2), pages 275-286.
    5. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    7. Blair, Bevan J. & Poon, Ser-Huang & Taylor, Stephen J., 2001. "Forecasting S&P 100 volatility: the incremental information content of implied volatilities and high-frequency index returns," Journal of Econometrics, Elsevier, vol. 105(1), pages 5-26, November.
    8. Campa, Jose Manuel & Chang, P. H. Kevin, 1998. "The forecasting ability of correlations implied in foreign exchange options," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 855-880, December.
    9. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    10. Andrew F. Siegel, 1995. "Measuring Systematic Risk Using Implicit Beta," Management Science, INFORMS, vol. 41(1), pages 124-128, January.
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    Cited by:

    1. Husmann, Sven & Todorova, Neda, 2011. "CAPM option pricing," Finance Research Letters, Elsevier, vol. 8(4), pages 213-219.
    2. Baule, Rainer & Korn, Olaf & Sa├čning, Sven, 2013. "Which beta is best? On the information content of option-implied betas," CFR Working Papers 13-11, University of Cologne, Centre for Financial Research (CFR).

    More about this item

    Keywords

    Capital Asset Pricing Model; Beta; Option Pricing;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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