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Is full annuitization socially optimal?

Author

Listed:
  • Torben M. Andersen

    (Aarhus University)

  • Marias H. Gestsson

    (University of Iceland)

Abstract

A seminal result Yaari holds that all pension savings should be in life-annuities. Annuities offer a higher return than standard assets and diversify mortality risk and therefore it is individually optimal to save in annuities only. This is a cornerstone result in the pensions literature where many attempts have been made to explain that individual savings in annuities is very low, the socalled annuity puzzle. But is the result that all pension savings should be in life-annuities also socially optimal? We show in a standard setting with fair annuities and dynamic efficiency that full annutization of all pensions saving is not socially optimal. Less than full annutization implies unintentional bequests and thus transfers from the old to the young, which is welfare improving under dynamic efficiency. Further, we show that no annutization can implement the Golden Rule capital stock level and analyse whether some annutization is socially optimal using a numerical analysis, which shows that it is the case under a wide range of parameter constellations.

Suggested Citation

  • Torben M. Andersen & Marias H. Gestsson, 2022. "Is full annuitization socially optimal?," Journal of Economics, Springer, vol. 135(2), pages 199-217, March.
    • Handle: RePEc:kap:jeczfn:v:135:y:2022:i:2:d:10.1007_s00712-021-00756-6
    DOI: 10.1007/s00712-021-00756-6
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    References listed on IDEAS

    as
    1. Olivier Blanchard, 2019. "Public Debt and Low Interest Rates," American Economic Review, American Economic Association, vol. 109(4), pages 1197-1229, April.
    2. 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.
    3. Shlomo Benartzi & Alessandro Previtero & Richard H. Thaler, 2011. "Annuitization Puzzles," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 143-164, Fall.
    4. Joseph E. Stiglitz, 2015. "In Praise of Frank Ramsey's Contribution to the Theory of Taxation," Economic Journal, Royal Economic Society, vol. 0(583), pages 235-268, March.
    5. Beshears, John & Choi, James J. & Laibson, David & Madrian, Brigitte C., 2011. "Behavioral economics perspectives on public sector pension plans," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(2), pages 315-336, April.
    6. repec:hal:pseose:halshs-01313802 is not listed on IDEAS
    7. Leroux, Marie-Louise & Ponthiere, Gregory, 2013. "Utilitarianism and unequal longevities: A remedy?," Economic Modelling, Elsevier, vol. 30(C), pages 888-899.
    8. 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.
    9. Atkinson, A B & Sandmo, A, 1980. "Welfare Implications of the Taxation of Savings," Economic Journal, Royal Economic Society, vol. 90(359), pages 529-549, September.
    10. 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.
    11. Marc Fleurbaey & Marie‐Louise Leroux & Pierre Pestieau & Gregory Ponthiere, 2016. "Fair Retirement Under Risky Lifetime," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 177-210, February.
    12. 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.
    13. Pecchenino, Rowena A & Pollard, Patricia S, 1997. "The Effects of Annuities, Bequests, and Aging in an Overlapping Generations Model of Endogenous Growth," Economic Journal, Royal Economic Society, vol. 107(440), pages 26-46, January.
    14. Torben M. Andersen, 2020. "Taxation of capital income in overlapping generations economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1245-1261, September.
    15. Samuelson, Paul A, 1975. "Optimum Social Security in a Life-Cycle Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 539-544, October.
    16. Olivier J Blanchard, 2019. "Public Debt: Fiscal and Welfare Costs in a Time of Low Interest Rates," Policy Briefs PB19-2, Peterson Institute for International Economics.
    17. 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.
    18. repec:hal:pseose:hal-00813226 is not listed on IDEAS
    19. Zvi Eckstein & Martin S. Eichenbaum & Dan Peled, 1985. "The Distribution of Wealth and Welfare in the Presence of Incomplete Annuity Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 789-806.
    20. 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.
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    More about this item

    Keywords

    Annuity markets; Annuitization; Mortality risk; Overlapping generations; Dynamic efficiency; Welfare;
    All these keywords.

    JEL classification:

    • D15 - Microeconomics - - Household Behavior - - - Intertemporal Household Choice; Life Cycle Models and Saving
    • D60 - Microeconomics - - Welfare Economics - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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