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Mean-variance hedging with oil futures

Author

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  • Liao Wang
  • Johannes Wissel

Abstract

We analyze mean-variance-optimal dynamic hedging strategies in oil futures for oil producers and consumers. In a model for the oil spot and futures market with Gaussian convenience yield curves and a stochastic market price of risk, we find analytical solutions for the optimal trading strategies. An implementation of our strategies in an out-of-sample test on market data shows that the hedging strategies improve long-term return-risk profiles of both the producer and the consumer. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Liao Wang & Johannes Wissel, 2013. "Mean-variance hedging with oil futures," Finance and Stochastics, Springer, vol. 17(4), pages 641-683, October.
    • Handle: RePEc:spr:finsto:v:17:y:2013:i:4:p:641-683
    DOI: 10.1007/s00780-013-0203-x
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    References listed on IDEAS

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    1. Alev{s} v{C}ern'y & Jan Kallsen, 2007. "On the Structure of General Mean-Variance Hedging Strategies," Papers 0708.1715, arXiv.org, revised Jul 2017.
    2. Aleš Černý & Jan Kallsen, 2008. "Mean–Variance Hedging And Optimal Investment In Heston'S Model With Correlation," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 473-492, July.
    3. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    4. Eckhard Platen, 2005. "On The Role Of The Growth Optimal Portfolio In Finance," Australian Economic Papers, Wiley Blackwell, vol. 44(4), pages 365-388, December.
    5. Christian Gourieroux & Jean Paul Laurent & Huyên Pham, 1998. "Mean‐Variance Hedging and Numéraire," Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 179-200, July.
    6. Miltersen, Kristian R. & Schwartz, Eduardo S., 1998. "Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 33-59, March.
    7. Chen, Sheng-Syan & Lee, Cheng-few & Shrestha, Keshab, 2003. "Futures hedge ratios: a review," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(3), pages 433-465.
    8. Donald Lien & Y. K. Tse, 2002. "Some Recent Developments in Futures Hedging," Journal of Economic Surveys, Wiley Blackwell, vol. 16(3), pages 357-396, July.
    9. repec:bla:jecsur:v:16:y:2002:i:3:p:357-96 is not listed on IDEAS
    10. René Caldentey & Martin Haugh, 2006. "Optimal Control and Hedging of Operations in the Presence of Financial Markets," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 285-304, May.
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    Cited by:

    1. Liao Wang & David D. Yao, 2017. "Production with Risk Hedging—Optimal Policy and Efficient Frontier," Operations Research, INFORMS, vol. 65(4), pages 1095-1113, August.
    2. Liao Wang & Jin Yao & Xiaowei Zhang, 2022. "How Does Risk Hedging Impact Operations? Insights from a Price-Setting Newsvendor Model," Papers 2201.01026, arXiv.org, revised Jun 2023.
    3. Liao Wang & David D. Yao, 2021. "Risk Hedging for Production Planning," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1825-1837, June.

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    More about this item

    Keywords

    Mean-variance hedging; Fuel hedging; Energy futures market; 60H30; 91B30; 91G20; 91G80; C61; G11; G13;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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