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Minimax Hedging Strategy

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  • Howe, M A
  • Rustem, B
  • Selby, M J P

Abstract

We present several variants of a robust risk management strategy based on minimax for the writer of a European call option on a stock and show that it performs at least as well as the standard hedging strategy, delta hedging. When using the minimax strategy, the hedger specifies a worst case scenario in terms of the price of the underlying stock. The minimax strategy recommends the number of shares in the underlying stock the hedger should hold in order to minimize the hedging error against the worst case occurring. The minimax hedging error may correspond to an extreme point of the price range being considered or to a mid-range solution. Simulation and empirical results suggest that the minimax strategy is particularly powerful for hedging the risk of writing an option when the price of the underlying stock is both highly volatile and crosses over the exercise frequently. Citation Copyright 1994 by Kluwer Academic Publishers.

Suggested Citation

  • Howe, M A & Rustem, B & Selby, M J P, 1994. "Minimax Hedging Strategy," Computational Economics, Springer;Society for Computational Economics, vol. 7(4), pages 245-275.
    • Handle: RePEc:kap:compec:v:7:y:1994:i:4:p:245-75
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    Cited by:

    1. Howe, M. A. & Rustem, B., 1997. "A robust hedging algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1065-1092, June.
    2. Howe, M. A. & Rustem, B. & Selby, M. J. P., 1996. "Multi-period minimax hedging strategies," European Journal of Operational Research, Elsevier, vol. 93(1), pages 185-204, August.
    3. Rustem, Berc & Becker, Robin G. & Marty, Wolfgang, 2000. "Robust min-max portfolio strategies for rival forecast and risk scenarios," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1591-1621, October.
    4. Gulpinar, Nalan & Rustem, Berc, 2007. "Robust optimal decisions with imprecise forecasts," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3595-3611, April.
    5. Zymler, Steve & Rustem, Berç & Kuhn, Daniel, 2011. "Robust portfolio optimization with derivative insurance guarantees," European Journal of Operational Research, Elsevier, vol. 210(2), pages 410-424, April.

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