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Stochastic optimal hedge ratio: theory and evidence

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  • Abdulnasser Hatemi-J
  • Youssef El-Khatib

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 a too restrictive assumption because the Optimal Hedge Ratio (OHR) might vary across time. In this article we put forward a proposition that a stochastic OHR performs differently than an OHR with constant structure even in the situations in which the mean value of the stochastic OHR is equal to the constant OHR. 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.

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File URL: http://hdl.handle.net/10.1080/13504851.2011.572841
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Article provided by Taylor & Francis Journals in its journal Applied Economics Letters.

Volume (Year): 19 (2012)
Issue (Month): 8 (May)
Pages: 699-703

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Handle: RePEc:taf:apeclt:v:19:y:2012:i:8:p:699-703

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  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 623-30, November.
  2. 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(04), pages 535-551, December.
  3. 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 109-24, April-Jun.
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