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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.

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Bibliographic Info

Paper provided by American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association) in its series 2000 Annual meeting, July 30-August 2, Tampa, FL with number 21729.

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Date of creation: 2000
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Handle: RePEc:ags:aaea00:21729

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Keywords: Agricultural Finance; Risk and Uncertainty;

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References

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  1. David A. Hennessy & Bruce A. Babcock & Dermot J. Hayes, 1995. "Budgetary and Resource Allocation Effects of Revenue Assurance," Center for Agricultural and Rural Development (CARD) Publications 95-wp130, Center for Agricultural and Rural Development (CARD) at Iowa State University.
  2. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  3. 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.
  4. 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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Citations

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Cited by:
  1. 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.
  2. Ashok Mishra & Barry Goodwin, 2006. "Revenue insurance purchase decisions of farmers," Applied Economics, Taylor & Francis Journals, vol. 38(2), pages 149-159.
  3. 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.
  4. 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 Central and Eastern Europe, LeibĀ­niz Institute of Agricultural Development in Central and Eastern Europe (IAMO), volume 40, number 92323.
  5. 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.
  6. 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).
  7. Kapphan, Ines, 2011. "Weather insurance design with optimal hedging effectiveness," MPRA Paper 35861, University Library of Munich, Germany.
  8. 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.
  9. 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.
  10. Zant, Wouter, 2008. "Hot Stuff: Index Insurance for Indian Smallholder Pepper Growers," World Development, Elsevier, vol. 36(9), pages 1585-1606, September.
  11. 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, 03.
  12. 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).
  13. 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.
  14. 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.
  15. 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.
  16. 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).

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