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On Measuring the Risk of Common Stocks Implied by Options Prices: A Note

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  • Brenner, Menachem
  • Galai, Dan

Abstract

This paper examines the implied standard deviation (ISD) estimated from transactons data on options, using the Black-Scholes pricing model. It was found that the distribution of the ISD is symmetric, though not normal. Also, the ISD based on the last daily observation deviates significantly from the daily average ISD. It is suggested that the daily average is a more reliable estimate of the standard deviation.

Suggested Citation

  • Brenner, Menachem & Galai, Dan, 1984. "On Measuring the Risk of Common Stocks Implied by Options Prices: A Note," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(4), pages 403-412, December.
    • Handle: RePEc:cup:jfinqa:v:19:y:1984:i:04:p:403-412_01
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    Citations

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    Cited by:

    1. Butler, J. S. & Schachter, Barry, 1996. "The statistical properties of parameters inferred from the black-scholes formula," International Review of Financial Analysis, Elsevier, vol. 5(3), pages 223-235.
    2. Veld, C.H., 1989. "The use of the implied standard deviation as a predictor of future stock price variability : A review of empirical tests," Other publications TiSEM 08556ccd-9dff-4b7e-8de8-2, Tilburg University, School of Economics and Management.
    3. Hwang, Soosung & Satchell, Stephen E., 2000. "Market risk and the concept of fundamental volatility: Measuring volatility across asset and derivative markets and testing for the impact of derivatives markets on financial markets," Journal of Banking & Finance, Elsevier, vol. 24(5), pages 759-785, May.
    4. Yuan Hu & Abootaleb Shirvani & W. Brent Lindquist & Frank J. Fabozzi & Svetlozar T. Rachev, 2021. "Market Complete Option Valuation using a Jarrow-Rudd Pricing Tree with Skewness and Kurtosis," Papers 2106.09128, arXiv.org.
    5. Christodoulakis, George A. & Satchell, Stephen E., 1999. "The simulation of option prices with application to LIFFE options on futures," European Journal of Operational Research, Elsevier, vol. 114(2), pages 249-262, April.
    6. Veld, C.H., 1991. "Warrant pricing : A review of theoretical and empirical research," Other publications TiSEM ac252bad-d1c0-45d6-832a-f, Tilburg University, School of Economics and Management.
    7. Smith, Paul & Gronewoller, Paul & Rose, Lawrence C., 1998. "Pricing efficiency on the New Zealand Futures and Options Exchange," Journal of Multinational Financial Management, Elsevier, vol. 8(1), pages 49-62, January.
    8. Nikkinen, Jussi, 2003. "Normality tests of option-implied risk-neutral densities: evidence from the small Finnish market," International Review of Financial Analysis, Elsevier, vol. 12(2), pages 99-116.
    9. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    10. Hu, Yuan & Lindquist, W. Brent & Rachev, Svetlozar T. & Shirvani, Abootaleb & Fabozzi, Frank J., 2022. "Market complete option valuation using a Jarrow-Rudd pricing tree with skewness and kurtosis," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).

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