The design of an optimal insurance contract for irreplaceable commodities
This paper discusses optimal insurance contract for irreplaceable commodities. To describe the dual impacts on individuals when a loss occurs to the insured irreplaceable commodities, we use a state-dependent and bivariate utility function, which includes both the monetary wealth and sentimental value as two arguments. We show that over (full, partial) insurance is optimal when a decrease in sentimental value will increase (not change, decrease, respectively) the marginal utility of monetary wealth. Moreover, a non-zero deductible exists even without administration costs. Furthermore, we demonstrate that a positive fixed reimbursement is optimal if (1) the premium is actuarially fair, (2) the monetary loss is a constant, and (3) the utility function is additively separable and the marginal utility of money is higher in the loss state than in the no-loss state. We also characterize comparative statics of fixed-reimbursement insurance under an additively separable preference assumption. Copyright Springer Science + Business Media, LLC 2006
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- Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
- Louis Eeckhoudt & Olivier Mahul & John Moran, 2003.
"Fixed-Reimbursement Insurance: Basic Properties and Comparative Statics,"
Journal of Risk & Insurance,
The American Risk and Insurance Association, vol. 70(2), pages 207-218.
- EECKHOUDT, Louis & MAHUL, Olivier & MORAN, John, . "Fixed-reimbursement insurance: basic properties and comparative statics," CORE Discussion Papers RP 1619, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Diewert, W. E. & Wales, T. J., 1995. "Flexible functional forms and tests of homogeneous separability," Journal of Econometrics, Elsevier, vol. 67(2), pages 259-302, June.
- Philip J. Cook & Daniel A. Graham, 1977. "The Demand for Insurance and Protection: The Case of Irreplaceable Commodities," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 143-156.
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