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The Shape of the Optimal Hedge Ratio: Modeling Joint Spot-Futures Prices using an Empirical Copula-GARCH Model

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Author Info
Power, Gabriel J.
Vedenov, Dmitry V.

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Abstract

Commodity cash and futures prices have been rising steadily since 2006. As evidenced by the April 2008 Commodity Futures Trading Commission Agricultural Forum, there is much concern among traditional futures and options market participants that the usefulness of commodity derivatives has been compromised. When basis risk is particularly high, dynamic hedging methods may be helpful despite their complexity and higher transaction costs. To assess the potential benefits of dynamic hedging in volatile times, this paper proposes a novel, empirical copula-based method to estimate GARCH models and to compute time-varying hedge ratios. This approach allows a nonlinear, asymmetric dependence structure between cash and futures prices. The paper addresses four principal questions: (1) Does the empirical copula-GARCH method overcome traditional limitations of dynamic hedging methods? (2) How does the empirical copula- GARCH hedging approach perform, for storable agricultural commodities, compared with traditional GARCH and Minimum Variance (static) hedging methods? (3) Is dynamic hedging more or less effective in the post-2006 biofuels expansion time period? (4) How sensitive is the ranking of methods to the hedging effectiveness criterion used? Preliminary findings suggest that the empirical copula-GARCH approach leads to superior hedging effectiveness based on some, but not all, risk criteria.

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Paper provided by NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management in its series 2008 Conference, April 21-22, 2008, St. Louis, Missouri with number 37609.

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Date of creation: 2008
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Handle: RePEc:ags:nccest:37609

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Keywords: Agricultural Finance;

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  1. Moschini, GianCarlo & Myers, Robert J., 2002. "Testing for constant hedge ratios in commodity markets: a multivariate GARCH approach," Journal of Empirical Finance, Elsevier, vol. 9(5), pages 589-603, December. [Downloadable!] (restricted)
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  2. Lien, Donald, 2005. "The use and abuse of the hedging effectiveness measure," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 277-282. [Downloadable!] (restricted)
  3. Lence, Sergio H & Hayes, Dermot J, 1994. " Parameter-Based Decision Making under Estimation Risk: An Application to Futures Trading," Journal of Finance, American Finance Association, vol. 49(1), pages 345-57, March. [Downloadable!] (restricted)
  4. Sébastien Laurent & Luc Bauwens & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
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  6. Lence, Sergio H. & Hayes, Dermot J., 2004. "Empirical Minimum Variance Hedge (The)," Staff General Research Papers 11565, Iowa State University, Department of Economics. [Downloadable!]
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  7. Jondeau, Eric & Rockinger, Michael, 2006. "The Copula-GARCH model of conditional dependencies: An international stock market application," Journal of International Money and Finance, Elsevier, vol. 25(5), pages 827-853, August. [Downloadable!] (restricted)
  8. Haigh, Michael S. & Holt, Matthew T., 2002. "Hedging Foreign Currency, Freight And Commodity Futures Portfolios: A Note," Working Papers 28573, University of Maryland, Department of Agricultural and Resource Economics. [Downloadable!]
  9. Kole, Erik & Koedijk, Kees & Verbeek, Marno, 2007. "Selecting copulas for risk management," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2405-2423, August. [Downloadable!] (restricted)
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  10. Granger, Clive W.J. & Terasvirta, Timo & Patton, Andrew J., 2006. "Common factors in conditional distributions for bivariate time series," Journal of Econometrics, Elsevier, vol. 132(1), pages 43-57, May. [Downloadable!] (restricted)
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  11. Haigh, Michael S & Holt, Matthew T, 2000. " Hedging Multiple Price Uncertainty in International Grain Trade," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 82(4), pages 881-96, November. [Downloadable!] (restricted)
  12. Viviana Fernández, 2007. "Multi-period hedge ratios for a multi-asset portfolio when accounting for returns comovement," Documentos de Trabajo 242, Centro de Economía Aplicada, Universidad de Chile. [Downloadable!]
  13. 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. [Downloadable!] (restricted)
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  14. Anil K. Bera & Philip Garcia & Jae-Sun Roh, 1997. "Estimation of Time-Varying Hedge Ratios for Corn and Soybeans: BGARCH and Random Coefficient Approaches," Finance 9712007, EconWPA. [Downloadable!]
  15. Bartram, Sohnke M. & Taylor, Stephen J. & Wang, Yaw-Huei, 2007. "The Euro and European financial market dependence," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1461-1481, May. [Downloadable!] (restricted)
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