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Dynamic optimal hedge ratio design when price and production are stochastic with jump

Author

Listed:
  • Nyassoke Titi Gaston Clément

    (Université de Douala)

  • Sadefo Kamdem Jules

    (Université Montpellier)

  • Fono Louis Aimé

    (Laboratoire de Mathématique-Université de Douala)

Abstract

In this paper, we focus on the farmer’s risk income when using commodity futures, when price and output processes are randomly correlated and represented by jump-diffusion models. We evaluate the expected utility of the farmer’s wealth and determine the optimal consumption rate and hedging position at each point in time given the harvest timing and state variables. We find a closed form for the optimal consumption and positioning rate in the case of an investor with CARA utility. This result (see Table 3.3) is a generalization of the result of Ho (J Financ 39:351–376, 1984), which considers the special case in which price and output are diffusion models.

Suggested Citation

  • Nyassoke Titi Gaston Clément & Sadefo Kamdem Jules & Fono Louis Aimé, 2022. "Dynamic optimal hedge ratio design when price and production are stochastic with jump," Annals of Finance, Springer, vol. 18(3), pages 419-428, September.
    • Handle: RePEc:kap:annfin:v:18:y:2022:i:3:d:10.1007_s10436-022-00410-1
    DOI: 10.1007/s10436-022-00410-1
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    1. 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 621-637, November.
    2. Harvey Lapan & Giancarlo Moschini & Steven D. Hanson, 1991. "Production, Hedging, and Speculative Decisions with Options and Futures Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(1), pages 66-74.
    3. Olivier Mahul, 2000. "Optimum crop insurance under joint yield and price risk," Post-Print hal-01952116, HAL.
    4. Moschini, Giancarlo & Hennessy, David A., 2001. "Uncertainty, risk aversion, and risk management for agricultural producers," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 1, chapter 2, pages 88-153, Elsevier.
    5. Yong Sakong & Dermot J. Hayes & Arne Hallam, 1993. "Hedging Production Risk With Options," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(2), pages 408-415.
    6. Marcus, Alan J & Modest, David M, 1984. "Futures Markets and Production Decisions," Journal of Political Economy, University of Chicago Press, vol. 92(3), pages 409-426, June.
    7. Larry S. Karp, 1987. "Methods for Selecting the Optimal Dynamic Hedge When Production is Stochastic," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(3), pages 647-657.
    8. Lioui, Abraham & Poncet, Patrice, 1996. "Optimal hedging in a dynamic futures market with a nonnegativity constraint on wealth," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1101-1113.
    9. Harvey Lapan & Giancarlo Moschini, 1994. "Futures Hedging Under Price, Basis, and Production Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 465-477.
    10. Abraham Lioui & Patrice Poncet, 2003. "General equilibrium pricing of nonredundant forward contracts," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(9), pages 817-840, September.
    11. Anderson, Ronald W & Danthine, Jean-Pierre, 1980. "Hedging and Joint Production: Theory and Illustrations," Journal of Finance, American Finance Association, vol. 35(2), pages 487-498, May.
    12. Olivier Mahul & Dominique Vermersch, 2000. "Hedging crop risk with yield insurance futures and options [Contrats à terme et options comme couverture de risques sur récoltes]," Post-Print hal-02690691, HAL.
    13. Hey, John D, 1987. "The Dynamic Competitive Firm under Spot Price Uncertainty," The Manchester School of Economic & Social Studies, University of Manchester, vol. 55(1), pages 1-12, March.
    14. I Mahul & D Vermersch, 2000. "Hedging crop risk with yield insurance futures and options," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 27(2), pages 109-126, June.
    15. G Lien & JB Hardaker, 2001. "Whole-farm planning under uncertainty: impacts of subsidy scheme and utility function on portfolio choice in Norwegian agriculture," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 28(1), pages 17-36, March.
    16. Rolfo, Jacques, 1980. "Optimal Hedging under Price and Quantity Uncertainty: The Case of a Cocoa Producer," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 100-116, February.
    17. Ronald W. Anderson & Jean-Pierre Danthine, 1983. "The Time Pattern of Hedging and the Volatility of Futures Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(2), pages 249-266.
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