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Optimal lifetime income annuity without bequest: Single and annual premiums

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  • Atta Mills, Ebenezer Fiifi Emire
  • Anyomi, Siegfried Kafui

Abstract

This paper studies the optimal annuitization, risk-free investment, and consumption problem in a post-retirement lifecycle model without bequest motives. We characterize annuitization in scenarios where a retiree allocates wealth to a lifetime income annuity in exchange for single or annual premiums. We show that demand for an annuity is influenced by risk aversion in exchange for a single premium and by wealth for annual premiums. The effect of allocating wealth to purchase a lifetime income annuity increases with higher risk aversion for a single premium and decreases with residual wealth for annual premiums. We compare the certainty equivalence of investment yielding the same utility in an actuarially fair pricing framework and show that the product with annual premiums is more attractive. Finally, we show that partial annuitization can be optimal for different risk levels. Our findings thus reflect an explanation for the “annuity puzzle” in the literature on lifecycle consumption.

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  • Atta Mills, Ebenezer Fiifi Emire & Anyomi, Siegfried Kafui, 2023. "Optimal lifetime income annuity without bequest: Single and annual premiums," Finance Research Letters, Elsevier, vol. 53(C).
    • Handle: RePEc:eee:finlet:v:53:y:2023:i:c:s1544612322007899
    DOI: 10.1016/j.frl.2022.103613
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    References listed on IDEAS

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    1. Cormac O'Dea & David Sturrock, 2019. "Survival pessimism and the demand for annuities," IFS Working Papers W19/02, Institute for Fiscal Studies.
    2. Owadally, Iqbal & Jang, Chul & Clare, Andrew, 2021. "Optimal investment for a retirement plan with deferred annuities," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 51-62.
    3. David J. Evans, 2005. "The elasticity of marginal utility of consumption: estimates for 20 OECD countries," Fiscal Studies, Institute for Fiscal Studies, vol. 26(2), pages 197-224, June.
    4. Milevsky, Moshe A. & Salisbury, Thomas S., 2015. "Optimal retirement income tontines," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 91-105.
    5. 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.
    6. 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.
    7. Ben Groom & David Maddison Pr., 2019. "New Estimates of the Elasticity of Marginal Utility for the UK," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(4), pages 1155-1182, April.
    8. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    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. Brown, Jeffrey R. & Mitchell, Olivia S. & Poterba, James M. & Warshawsky, Mark J., 2001. "The Role of Annuity Markets in Financing Retirement," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262529130, April.
    11. Ralph S. J. Koijen & Theo E. Nijman & Bas J. M. Werker, 2011. "Optimal Annuity Risk Management," Review of Finance, European Finance Association, vol. 15(4), pages 799-833.
    12. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    13. 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.
    14. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013. "Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, September.
    15. Chen, An & Hieber, Peter & Klein, Jakob K., 2019. "Tonuity: A Novel Individual-Oriented Retirement Plan," ASTIN Bulletin, Cambridge University Press, vol. 49(1), pages 5-30, January.
    16. Milevsky, Moshe A. & Salisbury, Thomas S., 2022. "Refundable income annuities: Feasibility of money-back guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 175-193.
    17. Colin M. Ramsay & Victor I. Oguledo, 2018. "The Annuity Puzzle and an Outline of Its Solution," North American Actuarial Journal, Taylor & Francis Journals, vol. 22(4), pages 623-645, October.
    18. 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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