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Hedging Demands in Hedging Contingent Claims

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  • Michael W. Brandt

    (The Wharton School, University of Pennsylvania; and NBER)

Abstract

Minimum-variance hedging of a contingent claim in discrete time is suboptimal when the contingent claim is hedged for multiple periods and the objective is to maximize the expected utility of cumulative hedging errors. This is because the hedging errors are not independent. The difference between a minimum-variance hedge and the optimal multiperiod hedge is called the hedging demand and depends on the hedger's preferences, the characteristics of the contingent claim, the trading frequency and horizon, and most importantly the joint distribution of the contingent claim and the underlying security prices. Since modeling this joint distribution is empirically controversial, I examine nonparametrically the economic importance of hedging demands in the case of hedging Standard & Poor's 500 index options. © 2003 President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • Michael W. Brandt, 2003. "Hedging Demands in Hedging Contingent Claims," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 119-140, February.
    • Handle: RePEc:tpr:restat:v:85:y:2003:i:1:p:119-140
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    Cited by:

    1. Suleyman Basak & Georgy Chabakauri, 2012. "Dynamic Hedging in Incomplete Markets: A Simple Solution," The Review of Financial Studies, Society for Financial Studies, vol. 25(6), pages 1845-1896.
    2. Abraham Lioui, 2005. "Stochastic dividend yields and derivatives pricing in complete markets," Review of Derivatives Research, Springer, vol. 8(3), pages 151-175, December.
    3. Wang, Xingchun & Fu, Jianping & Wang, Guanying & Wang, Yongjin, 2015. "Quadratic hedging strategies for volatility swaps," Finance Research Letters, Elsevier, vol. 15(C), pages 125-132.
    4. Luo, Rui & Fortenbery, T. Randall, 2016. "Corporate Hedging In Incomplete Markets: A Solution Under Price Transmission," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235444, Agricultural and Applied Economics Association.
    5. Fahlenbrach, Rüdiger & Sandås, Patrik, 2009. "Co-movements of index options and futures quotes," Journal of Empirical Finance, Elsevier, vol. 16(1), pages 151-163, January.

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