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Option-Implied Measures of Equity Risk

Author

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  • Bo-Young Chang
  • Peter Christoffersen
  • Kris Jacobs
  • Gregory Vainberg

Abstract

Equity risk measured by beta is of great interest to both academics and practitioners. Existing estimates of beta use historical returns. Many studies have found option-implied volatility to be a strong predictor of future realized volatility. We .nd that option-implied volatility and skewness are also good predictors of future realized beta. Motivated by this .nding, we establish a set of assumptions needed to construct a beta estimate from option-implied return moments using equity and index options. This beta can be computed using only option data on a single day. It is therefore potentially able to re.ect sudden changes in the structure of the underlying company. Le risque du marché des actions mesuré selon le coefficient bêta suscite un vif intérêt de la part des universitaires et des praticiens. Les estimations existantes du coefficient bêta utilisent les rendements historiques. De nombreuses études ont démontré que la volatilité implicite du prix des options constitue un indice solide de la volatilité future réalisée. Nous constatons que la volatilité implicite des options et leur caractère asymétrique sont aussi de bons facteurs prévisionnels du bêta futur réalisé. Motivés par ce constat, nous établissons un ensemble d'hypothèses nécessaires pour effectuer une estimation du bêta, à partir des moments de rendement implicite des options, en recourant aux actions et aux options sur indices boursiers. Ce bêta peut être calculé en utilisant seulement les données obtenues sur les options au cours d'une même journée. Il peut donc refléter les changements soudains de la structure de la société sous-jacente.

Suggested Citation

  • Bo-Young Chang & Peter Christoffersen & Kris Jacobs & Gregory Vainberg, 2009. "Option-Implied Measures of Equity Risk," CIRANO Working Papers 2009s-33, CIRANO.
  • Handle: RePEc:cir:cirwor:2009s-33
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    References listed on IDEAS

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    Cited by:

    1. Alexandros Kostakis & Nikolaos Panigirtzoglou & George Skiadopoulos, 2011. "Market Timing with Option-Implied Distributions: A Forward-Looking Approach," Management Science, INFORMS, vol. 57(7), pages 1231-1249, July.
    2. Martin, Ian & Wagner, Christian, 2016. "What is the Expected Return on a Stock?," CEPR Discussion Papers 11608, C.E.P.R. Discussion Papers.
    3. Bernales, Alejandro & Guidolin, Massimo, 2014. "Can we forecast the implied volatility surface dynamics of equity options? Predictability and economic value tests," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 326-342.
    4. Prokopczuk, Marcel & Tharann, Björn & Wese Simen, Chardin, 2017. "Predicting the Equity Market with Option Implied Variables," Hannover Economic Papers (HEP) dp-619, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    5. Baule, Rainer & Korn, Olaf & Saßning, 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).
    6. Xilong Chen & Eric Ghysels, 2011. "News--Good or Bad--and Its Impact on Volatility Predictions over Multiple Horizons," Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 46-81, October.
    7. Peter Christoffersen & Mathieu Fournier & Kris Jacobs, 2013. "The Factor Structure in Equity Options," CREATES Research Papers 2013-47, Department of Economics and Business Economics, Aarhus University.
    8. Hollstein, Fabian & Prokopczuk, Marcel & Wese Simen, Chardin, 2017. "How to Estimate Beta?," Hannover Economic Papers (HEP) dp-617, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    9. Kempf, Alexander & Korn, Olaf & Saßning, Sven, 2014. "Portfolio optimization using forward-looking information," CFR Working Papers 11-10 [rev.], University of Cologne, Centre for Financial Research (CFR).
    10. Hollstein, Fabian & Prokopczuk, Marcel & Wese Simen, Chardin, 2017. "The Term Structure of Systematic and Idiosyncratic Risk," Hannover Economic Papers (HEP) dp-618, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    11. Kumiega, Andrew & Neururer, Thaddeus & Van Vliet, Ben, 2011. "Independent component analysis for realized volatility: Analysis of the stock market crash of 2008," The Quarterly Review of Economics and Finance, Elsevier, vol. 51(3), pages 292-302, June.
    12. Brinkmann, Felix & Kempf, Alexander & Korn, Olaf, 2014. "Forward-looking measures of higher-order dependencies with an application to portfolio selection," CFR Working Papers 13-08 [rev.], University of Cologne, Centre for Financial Research (CFR).
    13. Brinkmann, Felix & Korn, Olaf, 2014. "Risk-adjusted option-implied moments," CFR Working Papers 14-07, University of Cologne, Centre for Financial Research (CFR).
    14. Bernales, Alejandro & Guidolin, Massimo, 2015. "Learning to smile: Can rational learning explain predictable dynamics in the implied volatility surface?," Journal of Financial Markets, Elsevier, vol. 26(C), pages 1-37.
    15. Bisht Deepak & Laha, A. K., 2017. "Assessment of Density Forecast for Energy Commodities in Post-Financialization Era," IIMA Working Papers WP 2017-07-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    16. Kempf, Alexander & Korn, Olaf & Saßning, Sven, 2011. "Portfolio optimization using forward-looking information," CFR Working Papers 11-10, University of Cologne, Centre for Financial Research (CFR).
    17. Brinkmann, Felix & Kempf, Alexander & Korn, Olaf, 2013. "Forward-looking measures of higher-order dependencies with an application to portfolio selection," CFR Working Papers 13-08, University of Cologne, Centre for Financial Research (CFR).
    18. repec:kap:revdev:v:20:y:2017:i:2:d:10.1007_s11147-016-9127-x is not listed on IDEAS
    19. Peter Christoffersen & Xuhui (Nick) Pan, 2014. "Equity Portfolio Management Using Option Price Information," CREATES Research Papers 2015-05, Department of Economics and Business Economics, Aarhus University.

    More about this item

    Keywords

    market beta; CAPM; historical; capital budgeting; model-free moments; bêta du marché; MEDAF (modèle d'équilibre des actifs financiers); historique; budgétisation des investissements; moments non paramétriques.;

    JEL classification:

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

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