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Optimal Annuitization with Stochastic Mortality Probabilities

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  • Felix Reichling
  • Kent Smetters

Abstract

The conventional wisdom dating back to Yaari (1965) is that households without a bequest motive should fully annuitize their investments. Numerous market frictions do not break this sharp result. We modify the Yaari framework by allowing a household's mortality risk itself to be stochastic. Annuities still help to hedge longevity risk, but they are now subject to valuation risk. Valuation risk is a powerful gateway mechanism for numerous frictions to reduce annuity demand, even without ad hoc "liquidity constraints." We find that most households should not annuitize any wealth. The optimal level of aggregate net annuity holdings is likely even negative.

Suggested Citation

  • Felix Reichling & Kent Smetters, 2013. "Optimal Annuitization with Stochastic Mortality Probabilities," NBER Working Papers 19211, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:19211
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    1. 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.
    2. Congressional Budget Office, 2012. "Policy Options for the Social Security Disability Insurance Program," Reports 43421, Congressional Budget Office.
    3. Eytan Sheshinski, 2007. "Introduction to The Economic Theory of Annuities," Introductory Chapters, in: The Economic Theory of Annuities, Princeton University Press.
    4. Amy Finkelstein & James Poterba, 2004. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 183-208, February.
    5. Bernheim, B Douglas, 1991. "How Strong Are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 899-927, October.
    6. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    7. Jeffrey R. Brown & Jeffrey R. Kling & Sendhil Mullainathan & Marian V. Wrobel, 2008. "Why Don’t People Insure Late-Life Consumption? A Framing Explanation of the Under-Annuitization Puzzle," American Economic Review, American Economic Association, vol. 98(2), pages 304-309, May.
    8. Hamish Low & Luigi Pistaferri, 2010. "Disability Risk, Disability Insurance and Life Cycle Behavior," NBER Working Papers 15962, National Bureau of Economic Research, Inc.
    9. Modigliani, Franco, 1986. "Life Cycle, Individual Thrift, and the Wealth of Nations," American Economic Review, American Economic Association, vol. 76(3), pages 297-313, June.
    10. 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.
    11. Gian Luca Clementi & Hugo A. Hopenhayn, 2006. "A Theory of Financing Constraints and Firm Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(1), pages 229-265.
    12. Jeffrey R. Brown & Amy Finkelstein, 2008. "The Interaction of Public and Private Insurance: Medicaid and the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 98(3), pages 1083-1102, June.
    13. Townley, Peter G. C. & Boadway, Robin W., 1988. "Social security and the failure of annuity markets," Journal of Public Economics, Elsevier, vol. 35(1), pages 75-96, February.
    14. Sven H. Sinclair & Kent A. Smetters, 2004. "Health Shocks and the Demand for Annuities: Technical Paper 2004-09," Working Papers 15868, Congressional Budget Office.
    15. John Karl Scholz & Ananth Seshadri & Surachai Khitatrakun, 2006. "Are Americans Saving "Optimally" for Retirement?," Journal of Political Economy, University of Chicago Press, vol. 114(4), pages 607-643, August.
    16. Shinichi Nishiyama, 2002. "Bequests, Inter Vivos Transfers, and Wealth Distribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(4), pages 892-931, October.
    17. Michael G. Palumbo, 1999. "Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 395-421.
    18. Cassio M. Turra & Olivia S. Mitchell, 2004. "The Impact of Health Status and Out-of-Pocket Medical Expenditures on Annuity Valuation," Working Papers wp086, University of Michigan, Michigan Retirement Research Center.
    19. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2011. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Public Care Aversion from Bequest Motives," Journal of Finance, American Finance Association, vol. 66(2), pages 519-561, April.
    20. Congressional Budget Office, 2012. "Policy Options for the Social Security Disability Insurance Program," Reports 43421, Congressional Budget Office.
    21. Eytan Sheshinski, 2007. "The Economic Theory of Annuities," Economics Books, Princeton University Press, edition 1, volume 1, number 8536.
    22. Ameriks, John & Mitchell, Olivia S. (ed.), 2008. "Recalibrating Retirement Spending and Saving," OUP Catalogue, Oxford University Press, number 9780199549108.
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    Cited by:

    1. Jeffrey R. Brown & Jeffrey R. Kling & Sendhil Mullainathan & Marian V. Wrobel, 2013. "Framing Lifetime Income," NBER Working Papers 19063, National Bureau of Economic Research, Inc.
    2. John Laitner & Daniel Silverman & Dmitriy Stolyarov, 2014. "Annuitized Wealth and Post-Retirement Saving," NBER Working Papers 20547, National Bureau of Economic Research, Inc.
    3. Jeffrey R. Brown, 2014. "Income as the Outcome: How to Broaden the Narrow Framing of U.S. Retirement Policy," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 17(1), pages 7-16, March.
    4. Felix Reichling & Kent Smetters, 2015. "Optimal Annuitization with Stochastic Mortality and Correlated Medical Costs," American Economic Review, American Economic Association, vol. 105(11), pages 3273-3320, November.
    5. Jeffrey R. Brown & Arie Kapteyn & Erzo F.P. Luttmer & Olivia S. Mitchell, 2013. "Cognitive Constraints on Valuing Annuities," NBER Working Papers 19168, National Bureau of Economic Research, Inc.

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    More about this item

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household

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