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The Semivariance-Minimizing Hedge Ratio

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  • Turvey, Calum G.
  • Nayak, Govindaray

Abstract

This study presents a new approach to the optimal hedging decision. In some empirical studies, the standard hedge using the mean-variance hedge ratio provides results which are inconsistent with downside risk management. The new approach taken here relates the optimal hedge ratio to semivariance rather than variance. An algorithm to solve for the minimum semivariance hedge is presented, and applied to hedging Kansas City wheat and Texas steers.

Suggested Citation

  • Turvey, Calum G. & Nayak, Govindaray, 2003. "The Semivariance-Minimizing Hedge Ratio," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 28(1), pages 1-16, April.
  • Handle: RePEc:ags:jlaare:30720
    DOI: 10.22004/ag.econ.30720
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    References listed on IDEAS

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    1. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
    2. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    3. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-371, June.
    4. Borch, Karl, 1974. "The Rationale of the Mean-Standard Deviation Analysis: Comment," American Economic Review, American Economic Association, vol. 64(3), pages 428-430, June.
    5. Catherine Skelton & Calum G. Turvey, 1994. "On the Inclusion of Hay in Ontario's Gross Revenue Insurance plan: A Target Semivariance Approach," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 16(2), pages 321-331.
    6. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    7. James P. Quirk & Rubin Saposnik, 1962. "Admissibility and Measurable Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(2), pages 140-146.
    8. Joaquín Arias & B. Wade Brorsen & Ardian Harri, 2000. "Optimal hedging under nonlinear borrowing cost, progressive tax rates, and liquidity constraints," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 20(4), pages 375-396, April.
    9. Babak Eftekhari, 1998. "Lower partial moment hedge ratios," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 645-652.
    10. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    11. Porter, R Burr, 1974. "Semivariance and Stochastic Dominance: A Comparison," American Economic Review, American Economic Association, vol. 64(1), pages 200-204, March.
    12. Hogan, William W. & Warren, James M., 1972. "Computation of the Efficient Boundary in the E-S Portfolio Selection Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1881-1896, September.
    13. Levy, Haim, 1974. "The Rationale of the Mean-Standard Deviation Analysis: Comment," American Economic Review, American Economic Association, vol. 64(3), pages 434-441, June.
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    Cited by:

    1. Chantarat, Sommarat & Mude, Andrew G. & Barrett, Christopher B. & Turvey, Calum G., 2017. "Welfare Impacts of Index Insurance in the Presence of a Poverty Trap," World Development, Elsevier, vol. 94(C), pages 119-138.
    2. Kuang, Wei, 2023. "The equity-oil hedge: A comparison between volatility and alternative risk frameworks," Energy, Elsevier, vol. 271(C).
    3. Liu, Pan & Vedenov, Dmitry & Power, Gabriel J., 2017. "Is hedging the crack spread no longer all it's cracked up to be?," Energy Economics, Elsevier, vol. 63(C), pages 31-40.
    4. Leblois, A. & Le Cotty, T. & Maître d'Hôtel, E., 2020. "How Might Climate Change Influence farmers' Demand for Index-Based Insurance?," Ecological Economics, Elsevier, vol. 176(C).
    5. Fu, Junhui & Zhang, Wei-Guo & Yao, Zheng & Zhang, Xili, 2012. "Hedging the portfolio of raw materials and the commodity under the mark-to-market risk," Economic Modelling, Elsevier, vol. 29(4), pages 1070-1075.
    6. Driedger, Jonathon & Porth, Lysa & Boyd, Milton, 2016. "The Potential to Use Futures and Options to Manage Crop Insurance Losses," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235747, Agricultural and Applied Economics Association.
    7. Chantarat, Sommarat & Mude, Andrew G. & Barrett, Christopher B. & Turvey, Calum G., 2017. "Welfare Impacts of Index Insurance in the Presence of a Poverty Trap," World Development, Elsevier, vol. 94(C), pages 119-138.
    8. Mattos, Fabio & Garcia, Philip & Nelson, Carl, 2008. "Relaxing standard hedging assumptions in the presence of downside risk," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(1), pages 78-93, February.
    9. Fu, Junhui, 2014. "Multi-objective hedging model with the third central moment and the capital budget," Economic Modelling, Elsevier, vol. 36(C), pages 213-219.
    10. Conlon, Thomas & Cotter, John, 2013. "Downside risk and the energy hedger's horizon," Energy Economics, Elsevier, vol. 36(C), pages 371-379.

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