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Demande d’assurance, décisions de consommation et de portefeuille : une analyse en temps continu

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  • Briys, Eric

    (Professeur assistant, Département Finance, Centre HEC-ISA France)

Abstract

This paper provides a continuous-time analysis of the optimal insurance demand by individuals. A joint treatment of the insurance, consumption and portfolio decisions is presented using a framework à la Merton (1969, 1971). The individual optimal insurance demand is explicitly derived under the class of isoelastic marginal utility fonctions. It is shown that the properties of the optimal insurance coverage are far more complex than suspected by some recent contributions. In the course of doing so this paper tries to fill a gap of the traditional insurance literature which has very often focused on insurance in isolation. Cet article examine la demande optimale d’assurance dommage en temps continu. Les décisions d’assurance, de portefeuille et de consommation sont analysées conjointement dans un cadre à la Merton (1969, 1971). Des solutions explicites sont dérivées dans le cas d’une fonction d’utilité isoélastique. Il apparaît que les propriétés de la demande optimale d’assurance sont bien plus complexes que ne le laissent supposer certaines récentes contributions.

Suggested Citation

  • Briys, Eric, 1987. "Demande d’assurance, décisions de consommation et de portefeuille : une analyse en temps continu," L'Actualité Economique, Société Canadienne de Science Economique, vol. 63(2), pages 200-212, juin et s.
    • Handle: RePEc:ris:actuec:v:63:y:1987:i:2:p:200-212
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    References listed on IDEAS

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    1. Dionne, Georges & Eeckhoudt, Louis, 1984. "Insurance and saving: some further results," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 101-110, April.
    2. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    3. Briys, Eric P & Louberge, Henri, 1985. "On the Theory of Rational Insurance Purchasing: A Note," Journal of Finance, American Finance Association, vol. 40(2), pages 577-581, June.
    4. Jarrow, Robert A & Rosenfeld, Eric R, 1984. "Jump Risks and the Intertemporal Capital Asset Pricing Model," The Journal of Business, University of Chicago Press, vol. 57(3), pages 337-351, July.
    5. Razin, Assaf, 1976. "Rational Insurance Purchasing," Journal of Finance, American Finance Association, vol. 31(1), pages 133-137, March.
    6. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    8. Harl E. Ryder & Geoffrey M. Heal, 1973. "Optimal Growth with Intertemporally Dependent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(1), pages 1-31.
    9. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    10. Gould, John P, 1969. "The Expected Utility Hypothesis and the Selection of Optimal Deductibles for a Given Insurance Policy," The Journal of Business, University of Chicago Press, vol. 42(2), pages 143-151, April.
    11. Morin, Roger A & Fernandez Suarez, Antonio, 1983. "Risk Aversion Revisited," Journal of Finance, American Finance Association, vol. 38(4), pages 1201-1216, September.
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