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The Systematic Risk of Discretely Rebalanced Option Hedges

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  • Gilster, John E.

Abstract

This paper demonstrates that Black-Scholes option pricing model hedge positions that are risk free when rebalanced continuously will frequently exhibit substantial systematic risk when rebalanced at finite intervals. This systematic risk may have biased important empirical tests of the option pricing model. Moreover, this systematic risk means that the Black-Scholes option pricing model is inherently inconsistent with the discrete time version of the Capital Asset Pricing Model (CAPM).

Suggested Citation

  • Gilster, John E., 1990. "The Systematic Risk of Discretely Rebalanced Option Hedges," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 507-516, December.
    • Handle: RePEc:cup:jfinqa:v:25:y:1990:i:04:p:507-516_00
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    Citations

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    Cited by:

    1. Robert F. Engle & Joshua V. Rosenberg, 1995. "GARCH Gamma," NBER Working Papers 5128, National Bureau of Economic Research, Inc.
    2. Wang, Xiao-Tian & Li, Zhe & Zhuang, Le, 2017. "Risk preference, option pricing and portfolio hedging with proportional transaction costs," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 111-130.
    3. Antonio S. Mello & Henrik J. Neuhaus, 1998. "A Portfolio Approach to Risk Reduction in Discretely Rebalanced Option Hedges," Management Science, INFORMS, vol. 44(7), pages 921-934, July.
    4. Albanese, Claudio & Tompaidis, Stathis, 2008. "Small transaction cost asymptotics and dynamic hedging," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1404-1414, March.
    5. Luca Di Persio & Luca Prezioso & Kai Wallbaum, 2019. "Closed-End Formula for options linked to Target Volatility Strategies," Papers 1902.08821, arXiv.org.
    6. Wang, Xiao-Tian & Zhao, Zhong-Feng & Fang, Xiao-Fen, 2015. "Option pricing and portfolio hedging under the mixed hedging strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 194-206.
    7. 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.
    8. Bas Peeters & Cees L. Dert & André Lucas, 2003. "Black Scholes for Portfolios of Options in Discrete Time: the Price is Right, the Hedge is wrong," Tinbergen Institute Discussion Papers 03-090/2, Tinbergen Institute.

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