IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v191y2021ics0022053120301198.html
   My bibliography  Save this article

Would you prefer your retirement income to depend on your life expectancy?

Author

Listed:
  • Bommier, Antoine
  • Schernberg, Hélène

Abstract

We study the demand for retirement income of agents who gradually learn about their life expectancy. For a given expected budget, temporally risk-averse agents prefer that pension levels respond to incoming information about life expectancy rather than being fixed ex-ante. Indeed, this offers a hedging strategy that couples shorter lives with higher consumption levels, and longer lives with lower consumption levels. A calibrated life-cycle model provides an order of magnitude of the effects at play.

Suggested Citation

  • Bommier, Antoine & Schernberg, Hélène, 2021. "Would you prefer your retirement income to depend on your life expectancy?," Journal of Economic Theory, Elsevier, vol. 191(C).
  • Handle: RePEc:eee:jetheo:v:191:y:2021:i:c:s0022053120301198
    DOI: 10.1016/j.jet.2020.105126
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053120301198
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2020.105126?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 search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Antoine Bommier & François Le Grand, 2014. "Too risk averse to purchase insurance? : A theoretical glance at the annuity puzzle," Post-Print hal-02313181, HAL.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Joseph E. Aldy & W. Kip Viscusi, 2007. "Age Differences in the Value of Statistical Life: Revealed Preference Evidence," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 1(2), pages 241-260, Summer.
    5. Hengjie Ai & Ravi Bansal, 2018. "Risk Preferences and the Macroeconomic Announcement Premium," Econometrica, Econometric Society, vol. 86(4), pages 1383-1430, July.
    6. 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.
    7. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    8. Philip J. Cook & Daniel A. Graham, 1977. "The Demand for Insurance and Protection: The Case of Irreplaceable Commodities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 143-156.
    9. Marc Fleurbaey, 2010. "Assessing Risky Social Situations," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 649-680, August.
    10. Mariacristina De Nardi & Eric French & John B. Jones, 2010. "Why Do the Elderly Save? The Role of Medical Expenses," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 39-75, February.
    11. Milevsky, Moshe A. & Salisbury, Thomas S., 2015. "Optimal retirement income tontines," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 91-105.
    12. Gary S. Becker & Tomas J. Philipson & Rodrigo R. Soares, 2005. "The Quantity and Quality of Life and the Evolution of World Inequality," American Economic Review, American Economic Association, vol. 95(1), pages 277-291, March.
    13. 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.
    14. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    15. Trudy Ann Cameron, 2010. "Euthanizing the Value of a Statistical Life," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 4(2), pages 161-178, Summer.
    16. Quiggin, John & Chambers, Robert G., 2006. "Supermodularity and risk aversion," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 1-14, July.
    17. John Quiggin & Robert Chambers, 2007. "Supermodularity and the Comparative Statics of Risk," Theory and Decision, Springer, vol. 62(2), pages 97-117, March.
    18. Antoine Bommier, 2013. "Life-Cycle Preferences Revisited," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1290-1319, December.
    19. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    20. Mariacristina De Nardi & Eric French & John Bailey Jones, 2016. "Medicaid Insurance in Old Age," American Economic Review, American Economic Association, vol. 106(11), pages 3480-3520, November.
    21. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    22. Denuit, Michel & Haberman, Steven & Renshaw, Arthur, 2011. "Longevity-indexed life annuities," LIDAM Reprints ISBA 2011024, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    23. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    24. Lee M. Lockwood, 2018. "Incidental Bequests and the Choice to Self-Insure Late-Life Risks," American Economic Review, American Economic Association, vol. 108(9), pages 2513-2550, September.
    25. Michel Denuit & Steven Haberman & Arthur Renshaw, 2011. "Longevity-Indexed Life Annuities," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(1), pages 97-111.
    26. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    27. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2018. "Multiattribute Utility Theory, Intertemporal Utility, And Correlation Aversion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(2), pages 537-555, May.
    28. 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.
    29. Andreas Richter & Frederik Weber, 2011. "Mortality-Indexed Annuities Managing Longevity Risk Via Product Design," North American Actuarial Journal, Taylor & Francis Journals, vol. 15(2), pages 212-236.
    30. Antoine Bommier & Asen Kochov & François Le Grand, 2017. "On Monotone Recursive Preferences," Econometrica, Econometric Society, vol. 85, pages 1433-1466, September.
    31. REZE, Jacques H. & RUSTICHINI, Aldo, 2004. "State-dependent utility and decision theory," LIDAM Reprints CORE 1714, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    33. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    34. Lee Lockwood, 2012. "Bequest Motives and the Annuity Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 226-243, April.
    Full references (including those not matched with items on IDEAS)

    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. Svetlana Pashchenko & Ponpoje Porapakkarm, 2022. "Value of life and annuity demand," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(2), pages 371-396, June.
    2. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    3. Antoine Bommier & Daniel Harenberg & François Le Grand & Cormac O'Dea, 2020. "Recursive Preferences, the Value of Life, and Household Finance," Cowles Foundation Discussion Papers 2231, Cowles Foundation for Research in Economics, Yale University.
    4. Hippolyte d’Albis & Emmanuel Thibault, 2018. "Ambiguous life expectancy and the demand for annuities," Theory and Decision, Springer, vol. 85(3), pages 303-319, October.
    5. 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.
    6. Eric André & Antoine Bommier & François Le Grand, 2022. "The impact of risk aversion and ambiguity aversion on annuity and saving choices," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 33-56, August.
    7. 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.
    8. 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.
    9. Mariacristina De Nardi & Eric French & John Bailey Jones, 2016. "Savings After Retirement: A Survey," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 177-204, October.
    10. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    11. Pashchenko, Svetlana & Porapakkarm, Ponpoje, 2019. "Accounting for Social Security claiming behavior," MPRA Paper 97958, University Library of Munich, Germany.
    12. Han, Nan-Wei & Hung, Mao-Wei, 2021. "The annuity puzzle and consumption hump under ambiguous life expectancy," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 76-88.
    13. Kraft, Holger & Munk, Claus & Weiss, Farina, 2022. "Bequest motives in consumption-portfolio decisions with recursive utility," Journal of Banking & Finance, Elsevier, vol. 138(C).
    14. Antoine Bommier, 2008. "Rational Impatience ?," Working Papers hal-00441880, HAL.
    15. Joachim Inkmann & Paula Lopes & Alexander Michaelides, 2011. "How Deep Is the Annuity Market Participation Puzzle?," The Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 279-319.
    16. Fillon, Romain & Guivarch, Céline & Taconet, Nicolas, 2023. "Optimal climate policy under tipping risk and temporal risk aversion," Journal of Environmental Economics and Management, Elsevier, vol. 121(C).
    17. Lorenzo Maria Stanca, 2023. "Recursive Preferences, Correlation Aversion, and the Temporal Resolution of Uncertainty," Papers 2304.04599, arXiv.org, revised Jul 2023.
    18. Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2014. "Fair management of social risk," Documents de travail du Centre d'Economie de la Sorbonne 14017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    19. Mengyi Xu & Jennifer Alonso Garcia & Michael Sherris & Adam Shao, 2022. "Insuring Longevity Risk and Long-Term Care: Bequest, Housing and Liquidity," ULB Institutional Repository 2013/340821, ULB -- Universite Libre de Bruxelles.
    20. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1614-1641.

    More about this item

    Keywords

    Pensions; Longevity risk; Risk aversion; Recursive preferences;
    All these keywords.

    JEL classification:

    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • G52 - Financial Economics - - Household Finance - - - Insurance
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

    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:jetheo:v:191:y:2021:i:c:s0022053120301198. 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/622869 .

    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.