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Stochastic optimal hedge ratio: Theory and evidence

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  • Hatemi-J, Abdulnasser
  • El-Khatib, Youssef

Abstract

The minimum variance hedge ratio is widely used by investors to immunize against the price risk. This hedge ratio is usually assumed to be constant across time by practitioners, which might be too restrictive assumption because the optimal hedge ratio might vary across time. In this paper we put forward a proposition that a stochastic hedge ratio performs differently than a hedge ratio with constant structure even in the situations in which the mean value of the stochastic hedge ratio is equal to the constant hedge ratio. A mathematical proof is provided for this proposition combined with some simulation results and an application to the US stock market during 1999-2009 using weekly data.

Suggested Citation

  • Hatemi-J, Abdulnasser & El-Khatib, Youssef, 2010. "Stochastic optimal hedge ratio: Theory and evidence," MPRA Paper 26153, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:26153
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    References listed on IDEAS

    as
    1. Cecchetti, Stephen G & Cumby, Robert E & Figlewski, Stephen, 1988. "Estimation of the Optimal Futures Hedge," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 623-630, November.
    2. Baillie, Richard T & Myers, Robert J, 1991. "Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 109-124, April-Jun.
    3. Robert J. Myers & Stanley R. Thompson, 1989. "Generalized Optimal Hedge Ratio Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(4), pages 858-868.
    4. Kroner, Kenneth F. & Sultan, Jahangir, 1993. "Time-Varying Distributions and Dynamic Hedging with Foreign Currency Futures," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(4), pages 535-551, December.
    5. Tae H. Park & Lorne N. Switzer, 1995. "Bivariate GARCH estimation of the optimal hedge ratios for stock index futures: A note," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(1), pages 61-67, February.
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    Cited by:

    1. Abdulnasser Hatemi-J, 2024. "Testing for the Asymmetric Optimal Hedge Ratios: With an Application to Bitcoin," Papers 2407.19932, arXiv.org, revised Aug 2024.
    2. Ahmad Bash & Abdullah M. Al-Awadhi & Fouad Jamaani, 2016. "Measuring the Hedge Ratio: A GCC Perspective," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 8(7), pages 1-1, July.

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    More about this item

    Keywords

    Optimal Hedge Ratio; Stochastic Hedge Ratio; the US;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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