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Empirical Minimum Variance Hedge, The

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Abstract

Decision making under unknown true parameters (estimation risk) is discussed along with Bayes and parameter certainty equivalent (PCE) criteria. Bayes criterion provides the solution for optimal decision making under estimation risk in a manner consistent with expected utility maximization. The PCE method is not consistent with expected utility maximization, but is the approach commonly used. Bayes criterion is applied to solve for the minimum variance hedge ratio (MVH) in two scenarios based on the multivariate normal distribution. Simulations show that discrepancies between prior and sample parameters may lead to substantial differences between Bayesian and PCE MVHs. Such discrepancies also highlight the superiority of Bayes criterion over the PCE, in the sense that the PCE method cannot not yield decision rules that contain prior (or nonsample) along with sample information.

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  • Sergio H. Lence & Dermot J. Hayes, 1993. "Empirical Minimum Variance Hedge, The," Center for Agricultural and Rural Development (CARD) Publications 93-wp109, Center for Agricultural and Rural Development (CARD) at Iowa State University.
  • Handle: RePEc:ias:cpaper:93-wp109
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    1. Klein, Roger W. & Bawa, Vijay S., 1976. "The effect of estimation risk on optimal portfolio choice," Journal of Financial Economics, Elsevier, vol. 3(3), pages 215-231, June.
    2. Alexander, Gordon J & Resnick, Bruce G, 1985. " More on Estimation Risk and Simple Rules for Optimal Portfolio Selection," Journal of Finance, American Finance Association, vol. 40(1), pages 125-133, March.
    3. James A. Chalfant & Robert N. Collender & Shankar Subramanian, 1990. "The Mean and Variance of the Mean-Variance Decision Rule," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 966-974.
    4. Klein, Roger W. & Bawa, Vijay S., 1977. "Abstract: The Effect of Limited Information and Estimation Risk on Optimal Portfolio Diversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 669-669, November.
    5. Dolado, Juan J & Jenkinson, Tim & Sosvilla-Rivero, Simon, 1990. " Cointegration and Unit Roots," Journal of Economic Surveys, Wiley Blackwell, vol. 4(3), pages 249-273.
    6. 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 109-124, April-Jun.
    7. Robert N. Collender, 1989. "Estimation Risk in Farm Planning Under Uncertainty," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(4), pages 996-1002.
    8. Frost, Peter A. & Savarino, James E., 1986. "An Empirical Bayes Approach to Efficient Portfolio Selection," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(3), pages 293-305, September.
    9. Boyle, Phelim P. & Ananthanarayanan, A. L., 1977. "The impact of variance estimation in option valuation models," Journal of Financial Economics, Elsevier, vol. 5(3), pages 375-387, December.
    10. Hayenga, Marvin L. & DiPietre, Dennis D., 1982. "Cross-Hedging Wholesale Pork Products Using Live Hog Futures," Staff General Research Papers Archive 11305, Iowa State University, Department of Economics.
    11. Rulon D. Pope & Rod F. Ziemer, 1984. "Stochastic Efficiency, Normality, and Sampling Errors in Agricultural Risk Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(1), pages 31-40.
    12. Robert J. Myers & Stanley R. Thompson, 1989. "Generalized Optimal Hedge Ratio Estimation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(4), pages 858-868.
    13. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
    14. Marvin L. Hayenga & Dennis D. DiPietre, 1982. "Cross-Hedging Wholesale Pork Products Using Live Hog Futures," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 64(4), pages 747-751.
    15. Cheung, C Sherman & Kwan, Clarence C Y, 1988. " A Note on Simple Criteria for Optimal Portfolio Selection," Journal of Finance, American Finance Association, vol. 43(1), pages 241-245, March.
    16. Coles, Jeffrey L. & Loewenstein, Uri, 1988. "Equilibrium pricing and portfolio composition in the presence of uncertain parameters," Journal of Financial Economics, Elsevier, vol. 22(2), pages 279-303, December.
    17. Robert N. Collender & David Zilberman, 1985. "Land Allocation under Uncertainty for Alternative Specifications of Return Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(4), pages 779-786.
    18. Jorion, Philippe, 1985. "International Portfolio Diversification with Estimation Risk," The Journal of Business, University of Chicago Press, vol. 58(3), pages 259-278, July.
    19. Jorion, Philippe, 1986. "Bayes-Stein Estimation for Portfolio Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(3), pages 279-292, September.
    20. Kenneth H. Mathews & Duncan M. Holthausen, 1991. "A Simple Multiperiod Minimum Risk Hedge Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(4), pages 1020-1026.
    21. Chen, Son-Nan & Brown, Stephen J, 1983. " Estimation Risk and Simple Rules for Optimal Portfolio Selection," Journal of Finance, American Finance Association, vol. 38(4), pages 1087-1093, September.
    22. Barry, Christopher B. & Brown, Stephen J., 1985. "Differential Information and Security Market Equilibrium," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(4), pages 407-422, December.
    23. Klein, Roger W, et al, 1978. "Decisions with Estimation Uncertainty," Econometrica, Econometric Society, vol. 46(6), pages 1363-1387, November.
    24. William W. Wilson, 1989. "Price discovery and hedging in the sunflower market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 9(5), pages 377-391, October.
    25. Dixon, Bruce L. & Barry, Peter J., 1983. "Portfolio Analysis Considering Estimation Risk And Imperfect Markets," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 8(2), pages 1-9, December.
    26. Simon Benninga & Rafael Eldor & Itzhak Zilcha, 1984. "The optimal hedge ratio in unbiased futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 4(2), pages 155-159, June.
    27. Stewart L. Brown, 1985. "A Reformulation of the Portfolio Model of Hedging," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(3), pages 508-512.
    28. Klein, Roger W. & Bawa, Vijay S., 1977. "The effect of limited information and estimation risk on optimal portfolio diversification," Journal of Financial Economics, Elsevier, vol. 5(1), pages 89-111, August.
    29. Anne E. Peck, 1975. "Hedging and Income Stability: Concepts, Implications, and an Example," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 57(3), pages 410-419.
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    Cited by:

    1. Shi, Wei & Irwin, Scott H., 2005. "A Bayesian Implementation of the Standard Optimal Hedging Model: Parameter Estimation Risk and Subjective Views," 2005 Annual meeting, July 24-27, Providence, RI 19155, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Pautsch, Gregory R. & Babcock, Bruce A. & Breidt, F. Jay, 1999. "Optimal Information Acquisition Under A Geostatistical Model," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 24(2), pages 1-25, December.
    3. Dorfman, Jeffrey H. & Sanders, Dwight R., 2004. "Generalized Hedge Ratio Estimation With An Unknown Model," 2004 Conference, April 19-20, 2004, St. Louis, Missouri 19024, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    4. Power, Gabriel J. & Vedenov, Dmitry V., 2008. "The Shape of the Optimal Hedge Ratio: Modeling Joint Spot-Futures Prices using an Empirical Copula-GARCH Model," 2008 Conference, April 21-22, 2008, St. Louis, Missouri 37609, NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    5. repec:dgr:rugsom:96b28 is not listed on IDEAS
    6. Bessler, Wolfgang & Leonhardt, Alexander & Wolff, Dominik, 2016. "Analyzing hedging strategies for fixed income portfolios: A Bayesian approach for model selection," International Review of Financial Analysis, Elsevier, vol. 46(C), pages 239-256.
    7. David J. Pannell & Getu Hailu & Alfons Weersink & Amanda Burt, 2008. "More reasons why farmers have so little interest in futures markets," Agricultural Economics, International Association of Agricultural Economists, vol. 39(1), pages 41-50, July.
    8. Muus, L. & Scheer, H. van der & Wansbeek, T., 1996. "A decision theoretic framework for profit maximization in direct marketing," Research Report 96B28, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    9. Jonathan Dark, 2005. "A Critique of Minimum Variance Hedging," Accounting Research Journal, Emerald Group Publishing, vol. 18(1), pages 40-49, June.
    10. Wilson, William W. & Wagner, Robert & Nganje, William E., 2003. "Strategic Hedging For Grain Processors," Agribusiness & Applied Economics Report 23637, North Dakota State University, Department of Agribusiness and Applied Economics.
    11. Songjiao Chen & William Wilson & Ryan Larsen & Bruce Dahl, 2016. "Risk Management for Grain Processors and “Copulas”," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(2), pages 365-382, June.
    12. Andreas Röthig, 2009. "Microeconomic Risk Management and Macroeconomic Stability," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-01565-6, March.
    13. Wei Shi & Scott H. Irwin, 2005. "Optimal Hedging with a Subjective View: An Empirical Bayesian Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(4), pages 918-930.
    14. Billio, Monica & Casarin, Roberto & Osuntuyi, Anthony, 2018. "Markov switching GARCH models for Bayesian hedging on energy futures markets," Energy Economics, Elsevier, vol. 70(C), pages 545-562.
    15. Mason, Charles Edwin, IV, 2000. "Estimation and attenuation of reinsurance risk in the crop insurance market," ISU General Staff Papers 2000010108000013703, Iowa State University, Department of Economics.
    16. Gregory R. Pautsch & Bruce A. Babcock & F. Jay Breidt, 1998. "Optimal Sampling Under a Geostatistical Model," Center for Agricultural and Rural Development (CARD) Publications 98-wp200, Center for Agricultural and Rural Development (CARD) at Iowa State University.

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