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On the public economics of annuities with differential mortality

Author

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  • Bommier, Antoine
  • Leroux, Marie-Louise
  • Lozachmeur, Jean-Marie

Abstract

This paper studies the problem of redistribution between individuals having different mortality rates. We use a continuous time model in which there are two types of individuals characterized by different survival probability paths. Individual preferences are represented by a generalized life-cycle utility function which can exhibit temporal risk aversion. We successively compare utilitarian allocations when individuals exhibit temporal risk neutrality and temporal risk aversion. This problem is analyzed in the contexts of full information and asymmetric information on mortality rates.

Suggested Citation

  • Bommier, Antoine & Leroux, Marie-Louise & Lozachmeur, Jean-Marie, 2011. "On the public economics of annuities with differential mortality," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 612-623, August.
  • Handle: RePEc:eee:pubeco:v:95:y:2011:i:7-8:p:612-623
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    References listed on IDEAS

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    1. Helmuth Cremer & Jean-Marie Lozachmeur & Pierre Pestieau, 2010. "Collective Annuities and Redistribution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(1), pages 23-41, February.
    2. Johann Brunner & Susanne Pech, 2008. "Optimum taxation of life annuities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 285-303, February.
    3. 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.
    4. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    5. Levhari, David & Mirman, Leonard J, 1977. "Savings and Consumption with an Uncertain Horizon," Journal of Political Economy, University of Chicago Press, vol. 85(2), pages 265-281, April.
    6. 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.
    7. Antoine Bommier, 2008. "Rational Impatience ?," Working Papers hal-00441880, HAL.
    8. 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.
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    Cited by:

    1. Dávila, Julio & Leroux, Marie-Louise, 2015. "Efficiency in overlapping generations economies with longevity choices and fair annuities," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 363-383.
    2. Delprat, G. & Leroux, M.-L. & Michaud, P.-C., 2016. "Evidence on individual preferences for longevity risk," Journal of Pension Economics and Finance, Cambridge University Press, vol. 15(02), pages 160-179, April.
    3. Leroux, M.-L. & Pestieau, P. & Ponthiere, G., 2011. "Longevity, genes and efforts: An optimal taxation approach to prevention," Journal of Health Economics, Elsevier, vol. 30(1), pages 62-76, January.
    4. Helmuth Cremer & Jean-Marie Lozachmeur & Pierre Pestieau, 2010. "Collective Annuities and Redistribution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(1), pages 23-41, February.
    5. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española, IEF, vol. 200(1), pages 41-74, March.
    6. Antoine Bommier, 2013. "Life-Cycle Preferences Revisited," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1290-1319, December.
    7. Leroux, Marie-Louise & Ponthiere, Gregory, 2013. "Utilitarianism and unequal longevities: A remedy?," Economic Modelling, Elsevier, vol. 30(C), pages 888-899.
    8. Pierre Pestieau & Grégory Ponthière, 2012. "The public economics of increasing longevity," Working Papers halshs-00676492, HAL.
    9. Fleurbaey, Marc & Leroux, Marie-Louise & Ponthiere, Gregory, 2014. "Compensating the dead," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 28-41.
    10. Pierre Pestieau & Grégory Ponthiere, 2012. "On the Policy Implications of Changing Longevity," CESifo Working Paper Series 3926, CESifo Group Munich.
    11. LEROUX, Marie - Louise & PONTHIERE, Grégory, 2009. "Wives, husbands and wheelchairs : Optimal tax policy under gender-specific health," CORE Discussion Papers 2009071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Torben M. Andersen & Marias H. Gestsson, 2010. "Longevity, Growth and Intergenerational Equity - The Deterministic Case," Economics wp52, Department of Economics, Central bank of Iceland.
    13. Marie-Louise Leroux & Grégory Ponthière, 2009. "Wives, husbands and wheelchairs: Optimal tax policy under gender-specific health," Working Papers halshs-00575059, HAL.
    14. Marc Fleurbaey & Marie-Louise Leroux & Grégory Ponthière, 2010. "Compensating the dead? Yes we can!," Working Papers halshs-00564934, HAL.

    More about this item

    Keywords

    Uncertain Lifetime Redistribution Annuities Nonlinear Taxation;

    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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