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Designing Optimal Crop Revenue Insurance

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  • Mahul, Olivier
  • Wright, Brian D.

Abstract

The optimal crop revenue insurance contract is designed from recent developments in the theory of insurance economics under incomplete markets. The message is two-fold. Firstly, when the indemnity schedule is contingent on individual price and individual yield, the optimal contract depends only on the individual gross revenue. Secondly, this policy is shown to fail if the indemnity function is based on aggregate price and/or aggregate yield. A closed-form solution, in which basis risks are ignored, is proposed. It differs from actual revenue insurance programs proposed to the U.S. farmers. When insurance and capital markets are unbiased, it can be replicated with existing crop yield and revenue insurance policies and hedging contracts if the decision variables are not constrained. The impact of yield and price basis risks on the form of the optimal crop revenue insurance contract is examined and a closed-form solution is derived.

Suggested Citation

  • Mahul, Olivier & Wright, Brian D., 2000. "Designing Optimal Crop Revenue Insurance," 2000 Annual meeting, July 30-August 2, Tampa, FL 21729, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  • Handle: RePEc:ags:aaea00:21729
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    References listed on IDEAS

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    1. Harwood, Joy L. & Heifner, Richard G. & Coble, Keith H. & Perry, Janet E. & Somwaru, Agapi, 1999. "Managing Risk in Farming: Concepts, Research, and Analysis," Agricultural Economics Reports 34081, United States Department of Agriculture, Economic Research Service.
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    3. David A. Hennessy & Bruce A. Babcock & Dermot J. Hayes, 1997. "Budgetary and Producer Welfare Effects of Revenue Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(3), pages 1024-1034.
    4. David A. Hennessy & Bruce A. Babcock & Dermot J. Hayes, 1997. "Budgetary and Producer Welfare Effects of Revenue Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(3), pages 1024-1034.
    5. Olivier Mahul, 1999. "Optimum Area Yield Crop Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 75-82.
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    Cited by:

    1. Bielza, María & Garrido, Alberto & Sumpsi, José M., 2004. "Revenue insurance as an income stabilization policy: an application to the Spanish olive oil sector," Cahiers d'Economie et de Sociologie Rurales (CESR), INRA (French National Institute for Agricultural Research), vol. 70.
    2. Vasco Molini & Michiel Keyzer & Bart van den Boom & Wouter Zant & Nicholas Nsowah-Nuamah, 2010. "Safety Nets and Index-Based Insurance: Historical Assessment and Semiparametric Simulation for Northern Ghana," Economic Development and Cultural Change, University of Chicago Press, vol. 58(4), pages 671-712, July.
    3. Zant, Wouter, 2008. "Hot Stuff: Index Insurance for Indian Smallholder Pepper Growers," World Development, Elsevier, vol. 36(9), pages 1585-1606, September.
    4. Alan Matthews, 2010. "Perspectives on Addressing Market Instability and Income Risk for Farmers," The Institute for International Integration Studies Discussion Paper Series iiisdp324, IIIS, revised Apr 2010.
    5. Phelippe-Guinvarc'h, Martial V. & Cordier, Jean E., 2006. "A private management strategy for the crop yield insurer: A theoretical approach and tests," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 35-46, August.
    6. Heidelbach, Olaf, 2007. "Efficiency of selected risk management instruments: An empirical analysis of risk reduction in Kazakhstani crop production," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 40, number 92323.
    7. Wang, H. Holly & Hanson, Steven D. & Black, J. Roy, 2003. "Efficiency Costs of Subsidy Rules for Crop Insurance," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 28(01), April.
    8. Egelkraut, Thorsten M. & Garcia, Philip & Pennings, Joost M.E. & Sherrick, Bruce J., 2006. "Producers' Yield and Yield Risk: Perceptions versus Reality and Crop Insurance Use," 2006 Annual meeting, July 23-26, Long Beach, CA 21369, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Banterle, Alessandro & Vandone, Daniela, 2013. "Price Volatility and Risk Management: The Case of Rice," 2013 International European Forum, February 18-22, 2013, Innsbruck-Igls, Austria 164766, International European Forum on Innovation and System Dynamics in Food Networks.
    10. Knut K. Aase, 2004. "A Pricing Model for Quantity Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(4), pages 617-642.
    11. Kapphan, Ines, 2011. "Weather insurance design with optimal hedging effectiveness," MPRA Paper 35861, University Library of Munich, Germany.
    12. María Bielza & Alberto Garrido & José M. Sumpsi, 2004. "Revenue insurance as an income stabilization policy: an application to the Spanish olive oil sector," Post-Print hal-01201063, HAL.
    13. Phelippe-Guinvarc'h, Martial, 2007. "Weather Insurance of Wine - How Quantity and Quality Regulations Affect Risks," 101st Seminar, July 5-6, 2007, Berlin Germany 9258, European Association of Agricultural Economists.
    14. Umarov, Alisher & Sherrick, Bruce J., 2005. "Farmers' Subjective Yield Distributions: Calibration and Implications for Crop Insurance Valuation," 2005 Annual meeting, July 24-27, Providence, RI 19396, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. Goodwin, Barry K. & Mahul, Olivier, 2004. "Risk modeling concepts relating to the design and rating of agricultural insurance contracts," Policy Research Working Paper Series 3392, The World Bank.
    16. Chad E. Hart & Dermot J. Hayes & Bruce A. Babcock, 2006. "Insuring Eggs in Baskets: Should the Government Insure Individual Risks?," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 54(1), pages 121-137, March.
    17. Hennessy, David A. & Saak, Alexander E. & Babcock, Bruce A., 2003. "Fair Value Of Whole-Farm And Crop-Specific Revenue Insurance," 2003 Annual meeting, July 27-30, Montreal, Canada 21988, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    18. Pigeon, Mathieu & Frahan, Bruno Henry de & Denuit, Michel, 2012. "Actuarial evaluation of the EU proposed farm income stabilisation tool," 123rd Seminar, February 23-24, 2012, Dublin, Ireland 122485, European Association of Agricultural Economists.
    19. María Bielza & Alberto Garrido & José M. Sumpsi, 2004. "Revenue insurance as an income stabilization policy: an application to the Spanish olive oil sector," Cahiers d'Economie et Sociologie Rurales, INRA Department of Economics, vol. 70, pages 5-27.
    20. Nyambane, Gerald G. & Hanson, Steven D. & Myers, Robert J. & Black, J. Roy, 2002. "Dynamic Risk Management Under Credit Constraints," 2002 Conference, April 22-23, 2002, St. Louis, Missouri 19072, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    21. Ashok Mishra & Barry Goodwin, 2006. "Revenue insurance purchase decisions of farmers," Applied Economics, Taylor & Francis Journals, vol. 38(2), pages 149-159.
    22. Robert Finger & Nadja El Benni, 2012. "A Note on Price Risks in Swiss Crop Production – Empirical Results and Comparisons with other Countries," Journal of Socio-Economics in Agriculture (Until 2015: Yearbook of Socioeconomics in Agriculture), Swiss Society for Agricultural Economics and Rural Sociology, vol. 5(1), pages 131-151.
    23. Molini, Vasco & Keyzer, Michiel A. & van den Boom, Bart & Zant, Wouter, 2007. "Creating safety nets through semi-parametric index-based insurance: A simulation for Northern Ghana," 101st Seminar, July 5-6, 2007, Berlin Germany 9263, European Association of Agricultural Economists.

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    Keywords

    Agricultural Finance; Risk and Uncertainty;

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