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Mortality, Time Preference and Life-Cycle Models

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  • Antoine Bommier

    (GREMAQ - Groupe de recherche en économie mathématique et quantitative - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper introduces a life-cycle model where impatience, instead of being driven by an exogenous discount function, results from the combination of risk aversion and mortality risks. Opting for such a formulation provides novel views on the impact of longevity extension on welfare, saving behavior and capital accumulation. In particular, we show that longevity extension may have much larger impacts on capital accumulation and equilibrium rate of interest than is usually thought. Moreover, we show that the adherence to the additive life cycle model introduced by Yaari (1965)may lead to significantly overstimating the welfare gains due to mortality risk reduction.

Suggested Citation

  • Antoine Bommier, 2006. "Mortality, Time Preference and Life-Cycle Models," Working Papers hal-00441888, HAL.
    • Handle: RePEc:hal:wpaper:hal-00441888
    Note: View the original document on HAL open archive server: https://hal.science/hal-00441888
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    References listed on IDEAS

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    1. Feldstein, Martin & Liebman, Jeffrey B. (ed.), 2002. "The Distributional Aspects of Social Security and Social Security Reform," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226241067, September.
    2. Martin Feldstein & Jeffrey B. Liebman, 2002. "The Distributional Aspects of Social Security and Social Security Reform," NBER Books, National Bureau of Economic Research, Inc, number feld02-1.
    3. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
    4. Antoine Bommier & Bertrand Villeneuve, 2012. "Risk Aversion and the Value of Risk to Life," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(1), pages 77-104, March.
    5. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    6. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-577, June.
    7. Antoine Bommier, 2005. "Life-Cycle Theory for Human Beings," Working Papers hal-00441890, HAL.
    8. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
    9. Barro, Robert J & Friedman, James W, 1977. "On Uncertain Lifetimes," Journal of Political Economy, University of Chicago Press, vol. 85(4), pages 843-849, August.
    10. Jeffrey Brown & Jeffrey B. Liebman & Joshua Pollet, 2002. "Appendix. Estimating Life Tables That Reflect Socioeconomic Differences In Mortality," NBER Chapters, in: The Distributional Aspects of Social Security and Social Security Reform, pages 447-458, National Bureau of Economic Research, Inc.
    11. Abel, Andrew B, 1986. "Capital Accumulation and Uncertain Lifetimes with Adverse Selection," Econometrica, Econometric Society, vol. 54(5), pages 1079-1097, September.
    12. repec:bla:jfinan:v:44:y:1989:i:5:p:1411-20 is not listed on IDEAS
    13. Antoine Bommier & Jean-Charles Rochet, 2006. "Risk Aversion and Planning Horizons," Journal of the European Economic Association, MIT Press, vol. 4(4), pages 708-734, June.
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    Cited by:

    1. Marie-Louise Leroux, 2011. "Endogenous differential mortality, non-contractible effort and non-linear taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 18(1), pages 56-73, February.
    2. Antoine Bommier, 2005. "Life-Cycle Theory for Human Beings," Working Papers hal-00441890, HAL.
    3. PESTIEAU, Pierre & PONTHIÈRE, Grégory & SATO, Motohiro, 2006. "Longevity and Pay-as-you-Go pensions," LIDAM Discussion Papers CORE 2006054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Leibniz Institute for Financial Research SAFE.
    5. Striani, Fabrizio, 2023. "Life-cycle consumption and life insurance: Empirical evidence from Italian Survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).

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