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Testing for constant hedge ratios in commodity markets: a multivariate GARCH approach

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  • Moschini, GianCarlo
  • Myers, Robert J.

Abstract

The authors develop a new multivariate GARCH parameterization that is suitable for testing the hypothesis that the optimal futures hedge ratio is constant over time, given that the joint distribution of cash and futures prices is characterized by autoregressive conditional heteroskedasticity. The advantage of the new parameterization is that it allows for a flexible form of time-varying volatility, even under the null of a constant hedge ratio. The model is estimated using weekly corn prices. Statistical tests reject the null hypothesis of a constant hedge ratio and also reject the null that time variation in optimal hedge ratios can be explained solely by deterministic seasonality and time-to-maturity effects.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Empirical Finance.

Volume (Year): 9 (2002)
Issue (Month): 5 (December)
Pages: 589-603

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Handle: RePEc:eee:empfin:v:9:y:2002:i:5:p:589-603

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Web page: http://www.elsevier.com/locate/jempfin

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References

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  1. Moschini, Giancarlo & Lapan, Harvey, 1995. "The Hedging Role of Options and Futures under Joint Price, Basis, and Production Risk," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 1025-49, November.
  2. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
  3. Lapan, Harvey E. & Moschini, GianCarlo & Hanson, Steven D., 1991. "Production Hedging and Speculative Decisions with Options and Future Markets," Staff General Research Papers 10810, Iowa State University, Department of Economics.
  4. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  5. Lence, Sergio H., 1995. "On the Optimal Hedge Under Unbiased Futures Prices," Staff General Research Papers 5115, Iowa State University, Department of Economics.
  6. Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
  7. Moschini, GianCarlo & Hennessy, David A., 2001. "Uncertainty, Risk Aversion, and Risk Management for Agricultural Producers," Staff General Research Papers 5323, Iowa State University, Department of Economics.
  8. 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.
  9. 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.
  10. Anderson, Ronald W & Danthine, Jean-Pierre, 1983. "The Time Pattern of Hedging and the Volatility of Futures Prices," Review of Economic Studies, Wiley Blackwell, vol. 50(2), pages 249-66, April.
  11. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February.
  12. Karp, Larry S, 1988. "Dynamic Hedging with Uncertain Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 621-37, November.
  13. Stephen G. Cecchetti & Robert E. Cumby & Stephen Figlewski, 1986. "Estimation of the optimal futures hedge," Research Working Paper 86-10, Federal Reserve Bank of Kansas City.
  14. Lumsdaine, Robin L, 1996. "Consistency and Asymptotic Normality of the Quasi-maximum Likelihood Estimator in IGARCH(1,1) and Covariance Stationary GARCH(1,1) Models," Econometrica, Econometric Society, vol. 64(3), pages 575-96, May.
  15. repec:cup:etheor:v:11:y:1995:i:1:p:122-50 is not listed on IDEAS
  16. Moschini, GianCarlo & Lapan, Harvey E., 1995. "Hedging Role of Options and Futures Under Joint Price, Basis and Production Risk, The," Staff General Research Papers 5137, Iowa State University, Department of Economics.
  17. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January.
  18. Benninga, Simon & Eldor, Rafael & Zilcha, Itzhak, 1983. "Optimal hedging in the futures market under price uncertainty," Economics Letters, Elsevier, vol. 13(2-3), pages 141-145.
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