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A Theory of Rational Demand for Index Insurance

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  • Daniel J. Clarke

Abstract

Rational demand for hedging products, where there is a risk of contractual nonperformance, is fundamentally different to that for indemnity insurance. In particular, optimal demand is zero for infinitely risk averse individuals, and is nonmonotonic in risk aversion, wealth and price. For commonly used families of utility functions, demand is hump-shaped in the degree of risk aversion when the price is actuarially unfair, first increasing then decreasing, and either decreasing or decreasing-increasing-decreasing in risk aversion when the price is actuarially favourable. For a given belief, upper bound are derived for the optimal demand from risk averse and decreasing absolute risk averse decision makers. The apparently low level of demand for consumer hedging instruments, particularly from the most risk averse, is explained as a rational response to deadweight costs and the risk of countractual nonperformance. A numerical example is presented for maize in a developing county which suggests that some unsubsidised weather derivatives, currently being designed for and marketed to poor farmers, may in fact be poor products, in that objective financial advice would recommendlow or zero purchase from all risk averse expected utility maximisers.

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  • Daniel J. Clarke, 2011. "A Theory of Rational Demand for Index Insurance," Economics Series Working Papers 572, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:572
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    1. Shawn Cole & Xavier Gine & Jeremy Tobacman & Petia Topalova & Robert Townsend & James Vickery, 2013. "Barriers to Household Risk Management: Evidence from India," American Economic Journal: Applied Economics, American Economic Association, vol. 5(1), pages 104-135, January.
    2. Daniel J. Clarke, 2011. "Reinsuring the Poor: Group Microinsurance Design and Costly State Verification," Economics Series Working Papers 573, University of Oxford, Department of Economics.
    3. Dean Karlan & Robert Osei & Isaac Osei-Akoto & Christopher Udry, 2014. "Agricultural Decisions after Relaxing Credit and Risk Constraints," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(2), pages 597-652.
    4. Barnett, Barry J., 2014. "Barry J. Barnett," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 46(3), pages 1-2, August.
    5. Xavier Giné & Robert Townsend & James Vickery, 2007. "Statistical Analysis of Rainfall Insurance Payouts in Southern India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(5), pages 1248-1254.
    6. Hongbin Cai & Yuyu Chen & Hanming Fang & Li-An Zhou, 2009. "Microinsurance, Trust and Economic Development: Evidence from a Randomized Natural Field Experiment," NBER Working Papers 15396, National Bureau of Economic Research, Inc.
    7. Hans P. Binswanger-Mkhize, 2012. "Is There Too Much Hype about Index-based Agricultural Insurance?," Journal of Development Studies, Taylor & Francis Journals, vol. 48(2), pages 187-200, February.
    8. Gin, Xavier & Yang, Dean, 2009. "Insurance, credit, and technology adoption: Field experimental evidencefrom Malawi," Journal of Development Economics, Elsevier, vol. 89(1), pages 1-11, May.
    9. Neil A. Doherty & Harris Schlesinger, 1990. "Rational Insurance Purchasing: Consideration of Contract Nonperformance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 243-253.
    10. Jensen, Nathaniel D. & Barrett, Christopher B. & Mude, Andrew G., 2014. "Basis Risk and the Welfare Gains from Index Insurance: Evidence from Northern Kenya," MPRA Paper 59153, University Library of Munich, Germany.
    11. Carter, Michael R. & Galarza, Francisco B. & Boucher, Steve, 2007. "Underwriting Area-based Yield Insurance to Crowd- in Credit Supply Demand," Working Papers 190918, University of California, Davis, Department of Agricultural and Resource Economics.
    12. Dercon, Stefan & Hill, Ruth Vargas & Clarke, Daniel & Outes-Leon, Ingo & Seyoum Taffesse, Alemayehu, 2014. "Offering rainfall insurance to informal insurance groups: Evidence from a field experiment in Ethiopia," Journal of Development Economics, Elsevier, vol. 106(C), pages 132-143.
    13. Mobarak, A. Mushfiq & Rosenzweig, Mark, 2012. "Selling Formal Insurance to the Informally Insured," Working Papers 97, Yale University, Department of Economics.
    14. S. Viswanathan & Adriano Rampini, 2013. "Household risk management," 2013 Meeting Papers 647, Society for Economic Dynamics.
    15. Skees, Jerry & Hazell, P. B. R. & Miranda, Mario, 1999. "New approaches to crop yield insurance in developing countries:," EPTD discussion papers 55, International Food Policy Research Institute (IFPRI).
    16. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Olivier Mahul & Charles J. Stutley, 2010. "Government Support to Agricultural Insurance : Challenges and Options for Developing Countries," World Bank Publications - Books, The World Bank Group, number 2432, December.
    18. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    19. Dercon, Stefan (ed.), 2004. "Insurance Against Poverty," OUP Catalogue, Oxford University Press, number 9780199276837.
    20. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    21. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    22. Clarke,Daniel Jonathan & Mahul,Olivier & Verma,Niraj, 2012. "Improving farmers'access to agricultural insurance in India," Policy Research Working Paper Series 5987, The World Bank.
    23. Carter, Michael R. & Galarza, Francisco & Boucher, Stephen, 2007. "Underwriting area-based yield insurance to crowd-in credit supply and demand," MPRA Paper 24326, University Library of Munich, Germany.
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    More about this item

    Keywords

    Index insurance; Derivative; Basis risk; Hedge; Microinsurance;
    All these keywords.

    JEL classification:

    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G20 - Financial Economics - - Financial Institutions and Services - - - General
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance

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