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Self-Annuitization, Consumption Shortfall in Retirement and Asset Allocation: The Annuity Benchmark

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  • ALBRECHT, PETER
  • MAURER, RAIMOND
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    Abstract

    The present paper considers a retiree of a certain age who is endowed with a certain amount of wealth and is facing alternative investment opportunities. One possibility is to buy a single premium immediate (participating) annuity-contract. This insurance product pays a life-long pension payment of a certain amount, depending e.g. on the age of the retiree, the operating cost of the insurance company and the return the company is able to realize from its investments. The alternative possibility is to invest the single premium into a portfolio of mutual funds and to periodically withdraw a fixed amount that is assumed to be equivalent to the consumption stream generated by the annuity. The particular advantage of this self-annuitization strategy compared to the life annuity is its greater liquidity and the possibility of leaving money for heirs. However, the risk of self-annuitization is to outlive the assets before the uncertain date of death. The risk can thus be specified by considering the probability of running out of money before the uncertain date of death. The determination of this personal probability of consumption shortfall with respect to German insurance and capital market conditions is the objective of this paper.

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    Bibliographic Info

    Article provided by Cambridge University Press in its journal Journal of Pension Economics and Finance.

    Volume (Year): 1 (2002)
    Issue (Month): 03 (November)
    Pages: 269-288

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    Handle: RePEc:cup:jpenef:v:1:y:2002:i:03:p:269-288_00

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    Cited by:
    1. Dus, Ivica & Maurer, Raimond H. & Mitchell, Olivia S., 2004. "Betting on death and capital markets in retirement: A shortfall risk analysis of life annuities versus phased withdrawal plans," CFS Working Paper Series 2004/01, Center for Financial Studies (CFS).
    2. Di Giacinto, Marina & Federico, Salvatore & Gozzi, Fausto & Vigna, Elena, 2014. "Income drawdown option with minimum guarantee," European Journal of Operational Research, Elsevier, vol. 234(3), pages 610-624.
    3. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.
    4. Olivia S. Mitchell & David McCarthy, 2002. "Annuities for an Ageing World," CeRP Working Papers 21, Center for Research on Pensions and Welfare Policies, Turin (Italy).
    5. Gerrard, Russell & Haberman, Steven & Vigna, Elena, 2004. "Optimal investment choices post-retirement in a defined contribution pension scheme," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 321-342, October.
    6. Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.
    7. Russell Gerrard & Bjarne Højgaard & Elena Vigna, 2008. "Choosing the Optimal Annuitization Time Post Retirement," Carlo Alberto Notebooks 76, Collegio Carlo Alberto.
    8. Gao, Jianwei, 2009. "Optimal investment strategy for annuity contracts under the constant elasticity of variance (CEV) model," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 9-18, August.
    9. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    10. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    11. Thaut, Michael, 2003. "Die individuelle Vorteilhaftigkeit der privaten Rentenversicherung: Steuervorteile, Lebenserwartung und Stornorisiken," Tübinger Diskussionsbeiträge 264, University of Tübingen, School of Business and Economics.
    12. Valdez, Emiliano A. & Piggott, John & Wang, Liang, 2006. "Demand and adverse selection in a pooled annuity fund," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 251-266, October.

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