IDEAS home Printed from https://ideas.repec.org/p/red/sed008/264.html
   My bibliography  Save this paper

Adverse Selection in the Annuity Market and the Role for Social Security

Author

Listed:
  • Roozbeh Hosseini

    (Univeristy of Minnesota)

Abstract

This paper studies the role of social security in providing annuity insurance. I calculate the welfare cost of adverse selection in the annuity market using a life cycle model in which individuals have private information about their mortality. I calibrate the model to the current U.S. social security replacement ratio, fraction of annuitized wealth and mortality heterogeneity in the Health and Retirement Study. My findings are as follows. First, in the absence of social security, individuals (on average) maintain about the same fraction of annuitized wealth as they do in the presence of social security, despite the fact that prices in the market are actuarially unfair. As a result, the welfare loss of abolishing social security is only 0.15 percent (in terms of consumption). Second, there is an ex ante gain of 0.51 percent from implementing the ex ante efficient allocations, which comes from redistributing resources from high mortality types to low mortality types. Individuals with high mortality (who will die soon and do not have demand for longevity insurance) incur large welfare losses from mandatory participation. These losses offset the benefits of providing insurance to low mortality types, leaving the overall ex ante welfare gain small.

Suggested Citation

  • Roozbeh Hosseini, 2008. "Adverse Selection in the Annuity Market and the Role for Social Security," 2008 Meeting Papers 264, Society for Economic Dynamics.
  • Handle: RePEc:red:sed008:264
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2008/paper_264.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Angus S. Deaton & Christina Paxson, 2001. "Mortality, Education, Income, and Inequality among American Cohorts," NBER Chapters, in: Themes in the Economics of Aging, pages 129-170, National Bureau of Economic Research, Inc.
    2. Kenneth Manton & Eric Stallard & James Vaupel, 1981. "Methods For Comparing The Mortality Experience of Heterogeneous Populations," Demography, Springer;Population Association of America (PAA), vol. 18(3), pages 389-410, August.
    3. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    4. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    5. Liran Einav & Amy Finkelstein & Paul Schrimpf, 2010. "Optimal Mandates and the Welfare Cost of Asymmetric Information: Evidence From the U.K. Annuity Market," Econometrica, Econometric Society, vol. 78(3), pages 1031-1092, May.
    6. Barbara A. Butrica & Gordon B.T. Mermin, 2006. "Annuitized Wealth and Consumption at Older Ages," Working Papers, Center for Retirement Research at Boston College wp2006-26, Center for Retirement Research, revised Dec 2006.
    7. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
    8. Hansen, G D, 1993. "The Cyclical and Secular Behaviour of the Labour Input: Comparing Efficiency Units and Hours Worked," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(1), pages 71-80, Jan.-Marc.
    9. Kotlikoff, Laurence J & Spivak, Avia, 1981. "The Family as an Incomplete Annuities Market," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 372-391, April.
    10. Dionne, G. & Doherty, N. & Fombaron, N., 2000. "Adverse Selection in Insurance Markets," Ecole des Hautes Etudes Commerciales de Montreal- 00-05, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
    11. Bisin, A. & Gottardi, P., 1999. "Competitive Equilibria with Asymmetric Information: Existence with Entry Fees," Working Papers 99-03, C.V. Starr Center for Applied Economics, New York University.
    12. Michael D. Hurd & Kathleen McGarry, 1995. "Evaluation of the Subjective Probabilities of Survival in the Health and Retirement Study," Journal of Human Resources, University of Wisconsin Press, vol. 30, pages 268-292.
    13. Cristia, Julian P., 2009. "Rising mortality and life expectancy differentials by lifetime earnings in the United States," Journal of Health Economics, Elsevier, vol. 28(5), pages 984-995, September.
    14. Pradeep Dubey & John Geanakoplos, 2001. "Insurance Contracts Designed by Competitive Pooling," Cowles Foundation Discussion Papers 1315, Cowles Foundation for Research in Economics, Yale University.
    15. Eckstein, Zvi & Eichenbaum, Martin & Peled, Dan, 1985. "Uncertain lifetimes and the welfare enhancing properties of annuity markets and social security," Journal of Public Economics, Elsevier, vol. 26(3), pages 303-326, April.
    16. Cristia, Julian P., 2009. "Rising mortality and life expectancy differentials by lifetime earnings in the United States," Journal of Health Economics, Elsevier, vol. 28(5), pages 984-995, September.
    17. Mikhail Golosov & Aleh Tsyvinski, 2006. "Designing Optimal Disability Insurance: A Case for Asset Testing," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 257-279, April.
    18. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 487-534.
    19. Abel, Andrew B & Warshawsky, Mark, 1988. "Specification of the Joy of Giving: Insights from Altruism," The Review of Economics and Statistics, MIT Press, vol. 70(1), pages 145-149, February.
    20. repec:bla:scandj:v:102:y:2000:i:3:p:373-93 is not listed on IDEAS
    21. Pashchenko, Svetlana, 2013. "Accounting for non-annuitization," Journal of Public Economics, Elsevier, vol. 98(C), pages 53-67.
    22. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    23. Guan Gong & Anthony Webb, 2008. "Mortality Heterogeneity and the Distributional Consequences of Mandatory Annuitization," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 1055-1079, December.
    24. Li Gan & Michael D. Hurd & Daniel L. McFadden, 2005. "Individual Subjective Survival Curves," NBER Chapters, in: Analyses in the Economics of Aging, pages 377-412, National Bureau of Economic Research, Inc.
    25. Abel, Andrew B, 1986. "Capital Accumulation and Uncertain Lifetimes with Adverse Selection," Econometrica, Econometric Society, vol. 54(5), pages 1079-1097, September.
    26. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    27. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    28. James M. Poterba & Joshua Rauh & Steven F. Venti, 2005. "Utility Evaluation of Risk in Retirement Saving Accounts," NBER Chapters, in: Analyses in the Economics of Aging, pages 13-58, National Bureau of Economic Research, Inc.
    29. Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December.
    30. Butt, Zoltan & Haberman, Steven, 2004. "Application of Frailty-Based Mortality Models Using Generalized Linear Models," ASTIN Bulletin, Cambridge University Press, vol. 34(1), pages 175-197, May.
    31. repec:pri:cheawb:deaton_paxson_mortality_cohorts is not listed on IDEAS
    32. Eichenbaum, Martin S & Peled, Dan, 1987. "Capital Accumulation and Annuities in an Adverse Selection Economy," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 334-354, April.
    33. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    34. Hong, Jay H. & Rios-Rull, Jose-Victor, 2007. "Social security, life insurance and annuities for families," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 118-140, January.
    35. 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.
    36. James F. Moore & Olivia S. Mitchell, 1997. "Projected Retirement Wealth and Savings Adequacy in the Health and Retirement Study," NBER Working Papers 6240, National Bureau of Economic Research, Inc.
    37. V. Kerry Smith & Donald H. Taylor & Frank A. Sloan, 2001. "Longevity Expectations and Death: Can People Predict Their Own Demise?," American Economic Review, American Economic Association, vol. 91(4), pages 1126-1134, September.
    38. Burman, Leonard E. & Coe, Norma B. & Gale, William G., 1999. "Lump Sum Distributions From Pension Plans: Recent Evidence and Issues for Policy and Research," National Tax Journal, National Tax Association;National Tax Journal, vol. 52(3), pages 553-562, September.
    39. Hurd, Michael & Panis, Constantijn, 2006. "The choice to cash out pension rights at job change or retirement," Journal of Public Economics, Elsevier, vol. 90(12), pages 2213-2227, December.
    40. Cannon, Edmund & Tonks, Ian, 2008. "Annuity Markets," OUP Catalogue, Oxford University Press, number 9780199216994.
    41. Burman, Leonard E. & Coe, Norma B. & Gale, William G., 1999. "Lump Sum Distributions from Pension Plans: Recent Evidence and Issues for Policy and Research," National Tax Journal, National Tax Association, vol. 52(n. 3), pages 553-62, September.
    42. repec:pri:cheawb:deaton_paxson_mortality_cohorts.pdf is not listed on IDEAS
    43. David A. Wise, 2005. "Analyses in the Economics of Aging," NBER Books, National Bureau of Economic Research, Inc, number wise05-1.
    44. David McCarthy & Olivia S. Mitchell, 2003. "International Adverse Selection in Life Insurance and Annuities," NBER Working Papers 9975, National Bureau of Economic Research, Inc.
    45. Bisin, Alberto & Gottardi, P. & Guaitoli, D., 1998. "A Note on the Convergence to Competitive Equilibria in Economies with Moral Hazard," Working Papers 98-41, C.V. Starr Center for Applied Economics, New York University.
    46. Michael Braun & Alexander Muermann, 2004. "The Impact of Regret on the Demand for Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(4), pages 737-767, December.
    47. Jan Walliser, 2000. "Adverse Selection in the Annuities Market and the Impact of Privatizing Social Security," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 373-393, September.
    48. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    49. Benjamin M. Friedman & Mark J. Warshawsky, 1990. "The Cost of Annuities: Implications for Saving Behavior and Bequests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 135-154.
    50. Amy Finkelstein & James Poterba, 2002. "Selection Effects in the United Kingdom Individual Annuities Market," Economic Journal, Royal Economic Society, vol. 112(476), pages 28-50, January.
    51. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-646, September.
    52. James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
    53. 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. Raj Chetty & Amy Finkelstein, 2012. "Social Insurance: Connecting Theory to Data," NBER Working Papers 18433, National Bureau of Economic Research, Inc.
    2. Frank Caliendo & Nick Guo & Roozbeh Hosseini, 2014. "Social Security is NOT a Substitute for Annuity Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 739-755, October.
    3. 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.
    4. Beshears, John & Choi, James J. & Laibson, David & Madrian, Brigitte C. & Zeldes, Stephen P., 2014. "What makes annuitization more appealing?," Journal of Public Economics, Elsevier, vol. 116(C), pages 2-16.
    5. Lambregts, Timo R. & Schut, Frederik T., 2020. "Displaced, disliked and misunderstood: A systematic review of the reasons for low uptake of long-term care insurance and life annuities," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    6. Liran Einav & Amy Finkelstein & Paul Schrimpf, 2007. "The Welfare Cost of Asymmetric Information: Evidence from the U.K. Annuity Market," NBER Working Papers 13228, National Bureau of Economic Research, Inc.
    7. Oded Palmon & Avia Spivak, 2007. "Adverse selection and the market for annuities," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 32(1), pages 37-59, June.
    8. Johannes Hagen, 2015. "The determinants of annuitization: evidence from Sweden," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(4), pages 549-578, August.
    9. Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
    10. Bütler, Monika & Peijnenburg, Kim & Staubli, Stefan, 2017. "How much do means-tested benefits reduce the demand for annuities?," Journal of Pension Economics and Finance, Cambridge University Press, vol. 16(4), pages 419-449, October.
    11. Erin Cottle Hunt & Frank N. Caliendo, 2023. "Social security and risk sharing: the role of economic mobility across generations," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 30(5), pages 1374-1407, October.
    12. Fang, H., 2016. "Insurance Markets for the Elderly," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 237-309, Elsevier.
    13. Ben Heijdra & Laurie Reijnders, 2013. "Economic Growth and Longevity Risk with Adverse Selection," De Economist, Springer, vol. 161(1), pages 69-97, March.
    14. repec:dau:papers:123456789/5369 is not listed on IDEAS
    15. Alicia H. Munnell & Gal Wettstein & Wenliang Hou, 2022. "How best to annuitize defined contribution assets?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 211-235, March.
    16. Roozbeh Hosseini & Ali Shourideh, 2019. "Retirement Financing: An Optimal Reform Approach," Econometrica, Econometric Society, vol. 87(4), pages 1205-1265, July.
    17. Johann K. Brunner & Susanne Pech, 2006. "Adverse selection in the annuity market with sequential and simultaneous insurance demand," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 31(2), pages 111-146, December.
    18. Bucher-Koenen, Tabea & Kluth, Sebastian, 2013. "Subjective Life Expectancy and Private Pensions," MEA discussion paper series 201214, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    19. Olivia S. Mitchell, 1999. "New Evidence on the Money's Worth of Individual Annuities," American Economic Review, American Economic Association, vol. 89(5), pages 1299-1318, December.
    20. Schuhmacher, Petra, 2008. "The Demand for Enhanced Annuities," Discussion Papers in Business Administration 7954, University of Munich, Munich School of Management.
    21. repec:mea:meawpa:12265 is not listed on IDEAS
    22. Bucher-Koenen, Tabea & Kluth, Sebastian, 2013. "Subjective Life Expectancy and Private Pensions," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79806, Verein für Socialpolitik / German Economic Association.

    More about this item

    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:red:sed008:264. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.html .

    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.