IDEAS home Printed from https://ideas.repec.org/a/eee/pubeco/v95y2011i7p612-623.html
   My bibliography  Save this article

On the public economics of annuities with differential mortality

Author

Listed:
  • 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), pages 612-623.
    • Handle: RePEc:eee:pubeco:v:95:y:2011:i:7:p:612-623
    DOI: 10.1016/j.jpubeco.2010.11.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047272710001805
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jpubeco.2010.11.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    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. 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.
    4. 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.
    5. 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.
    6. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    7. Muriel Roger & Benoît Rapoport & Thierry Magnac & Antoine Bommier, 2005. "Droits à la retraite et mortalité différentielle," Économie et Prévision, Programme National Persée, vol. 168(2), pages 1-16.
    8. 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.
    9. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    10. 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.
    11. Antoine Bommier, 2008. "Rational Impatience ?," Working Papers hal-00441880, HAL.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Barigozzi, Francesca & Cremer, Helmuth & Lozachmeur, Jean-Marie, 2023. "Gender wage and longevity gaps and the design of retirement systems," Journal of Economic Behavior & Organization, Elsevier, vol. 209(C), pages 263-287.
    2. FLEURBAEY, Marc & LEROUX, Marie - Louise & PONTHIERE, Gregory, 2010. "Compensating the dead? Yes we can!," LIDAM Discussion Papers CORE 2010066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Pashchenko, Svetlana & Porapakkarm, Ponpoje & Jang, Youngsoo, 2023. "Mortality Regressivity and Pension Design," MPRA Paper 117936, University Library of Munich, Germany.
    5. 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.
    6. Fleurbaey, Marc & Leroux, Marie-Louise & Ponthiere, Gregory, 2014. "Compensating the dead," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 28-41.
    7. 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.
    8. Antoine Bommier, 2013. "Life-Cycle Preferences Revisited," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1290-1319, December.
    9. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 41-74, March.
    10. Jonas Klos & Tim Krieger & Sven Stöwhase, 2022. "Measuring intra-generational redistribution in PAYG pension schemes," Public Choice, Springer, vol. 190(1), pages 53-73, January.
    11. Leroux, Marie-Louise & Ponthiere, Gregory, 2013. "Utilitarianism and unequal longevities: A remedy?," Economic Modelling, Elsevier, vol. 30(C), pages 888-899.
    12. 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(2), pages 160-179, April.
    13. Marie-Louise Leroux & Grégory Ponthière, 2009. "Wives, husbands and wheelchairs: Optimal tax policy under gender-specific health," PSE Working Papers halshs-00575059, HAL.
    14. Pierre Pestieau & Gregory Ponthiere, 2014. "Policy Implications of Changing Longevity," CESifo Economic Studies, CESifo Group, vol. 60(1), pages 178-212.
    15. Torben M. Andersen & Marias H. Gestsson, 2010. "Longevity, Growth and Intergenerational Equity - The Deterministic Case," Economics wp52, Department of Economics, Central bank of Iceland.
    16. Alonso-García, Jennifer & Devolder, Pierre, 2019. "Continuous time model for notional defined contribution pension schemes: Liquidity and solvency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 57-76.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Antoine Bommier, 2008. "Rational Impatience ?," Working Papers hal-00441880, HAL.
    2. Antoine Bommier, 2006. "Mortality, Time Preference and Life-Cycle Models," Working Papers hal-00441888, HAL.
    3. Bommier, Antoine, 2009. "Mortality Decline and Aggregate Wealth Accumulation," TSE Working Papers 09-050, Toulouse School of Economics (TSE).
    4. Jeffrey R. Brown & Julia Lynn Coronado & Don Fullerton, 2009. "Is Social Security Part of the Social Safety Net?," NBER Chapters, in: Tax Policy and the Economy, Volume 23, pages 37-72, National Bureau of Economic Research, Inc.
    5. Bommier, Antoine & Lanz, Bruno & Zuber, Stéphane, 2015. "Models-as-usual for unusual risks? On the value of catastrophic climate change," Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 1-22.
    6. Ryan Edwards, 2013. "The cost of uncertain life span," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1485-1522, October.
    7. Huang, H. & Milevsky, M.A. & Salisbury, T.S., 2017. "Retirement spending and biological age," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 58-76.
    8. Irena Dushi & Leora Friedberg & Anthony Webb, 2021. "Is the Adjustment of Social Security Benefits Actuarially Fair, and If So, for Whom?," SCEPA working paper series. 2021-04, Schwartz Center for Economic Policy Analysis (SCEPA), The New School.
    9. Antoine Bommier, Francois Le Grand, "undated". "Too Risk Averse to Purchase Insurance? A Theoretical Glance at the Annuity Puzzle," Working Papers ETH-RC-12-002, ETH Zurich, Chair of Systems Design.
    10. 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.
    11. Antoine Bommier, 2013. "Life-Cycle Preferences Revisited," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1290-1319, December.
    12. Erin Cottle Hunt & Frank N. Caliendo, 2022. "Social security and risk sharing: A survey of four decades of economic analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 36(5), pages 1591-1609, December.
    13. S. Brock Blomberg & Thomas DeLeire & Gregory D. Hess, 2006. "The (After) Life-Cycle Theory of Religious Contributions," CESifo Working Paper Series 1854, CESifo.
    14. Ben J. Heijdra & Yang Jiang & Jochen O. Mierau, 2019. "The Macroeconomic Effects of Longevity Risk Under Private and Public Insurance and Asymmetric Information," De Economist, Springer, vol. 167(2), pages 177-213, June.
    15. Gary Hansen & Selahattin Imrohoroglu, 2008. "Consumption over the Life Cycle: The Role of Annuities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 566-583, July.
    16. Eytan Sheshinski & Frank N. Caliendo, 2021. "Social Security and the increasing longevity gap," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 29-52, February.
    17. R. Glenn Hubbard, 1987. "Uncertain Lifetimes, Pensions, and Individual Saving," NBER Chapters, in: Issues in Pension Economics, pages 175-210, National Bureau of Economic Research, Inc.
    18. Sass, Steven A. & Sun, Wei & Webb, Anthony, 2013. "Social Security claiming decision of married men and widow poverty," Economics Letters, Elsevier, vol. 119(1), pages 20-23.
    19. Wei Sun & Teresa Ghilarducci & Michael Papadopoulos & Anthony Webb, 2019. "The Impact of a Social Security Proposal for "Catch-Up" Contributions," SCEPA working paper series. 2019-03, Schwartz Center for Economic Policy Analysis (SCEPA), The New School.
    20. Li Tan & Cory Koedel, 2019. "The Effects of Differential Income Replacement and Mortality on U.S. Social Security Redistribution," Southern Economic Journal, John Wiley & Sons, vol. 86(2), pages 613-637, October.

    More about this item

    Keywords

    Uncertain Lifetime; Redistribution; Annuities; Nonlinear Taxation;
    All these keywords.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:pubeco:v:95:y:2011:i:7:p:612-623. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505578 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.