IDEAS home Printed from https://ideas.repec.org/a/kap/jfamec/v34y2013i4p447-459.html
   My bibliography  Save this article

Optimal Annuity Purchase Decisions Under Uncertain Lifetime

Author

Listed:
  • Aparna Gupta
  • Zhisheng Li

    ()

Abstract

This paper developed a wealth allocation framework for longevity risk protection under stochastic lifetime. By combining the dynamics of wealth evolution and health evolution in stochastic multi-period discrete-time models, an optimization problem was formulated with the objective of maximizing lifetime utility of consumption and bequest. We implemented the framework in different scenarios and provided results to illustrate the practical implications of the framework. Computational results suggested that it is optimal for most people to purchase an annuity at some point in their lives. However, an individual’s health status, risk aversion, retirement objective, and the insurance charge associated with annuities could significantly influence the choice of optimal annuitization time, consumption plans, and trade off between lifetime versus fixed-term annuity. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Aparna Gupta & Zhisheng Li, 2013. "Optimal Annuity Purchase Decisions Under Uncertain Lifetime," Journal of Family and Economic Issues, Springer, vol. 34(4), pages 447-459, December.
  • Handle: RePEc:kap:jfamec:v:34:y:2013:i:4:p:447-459
    DOI: 10.1007/s10834-012-9340-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10834-012-9340-1
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. B. Douglas Bernheim, 2000. "How Much Should Americans Be Saving for Retirement?," American Economic Review, American Economic Association, vol. 90(2), pages 288-292, May.
    2. 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.
    3. David Zimmer, 2009. "Insurance Arrangements Among Married Couples: Analysis of Benefit Substitution and Compensating Differentials," Journal of Family and Economic Issues, Springer, vol. 30(4), pages 428-439, December.
    4. Gong, Guan & Webb, Anthony, 2010. "Evaluating the Advanced Life Deferred Annuity -- An annuity people might actually buy," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 210-221, February.
    5. Picone, Gabriel & Uribe, Martin & Mark Wilson, R., 1998. "The effect of uncertainty on the demand for medical care, health capital and wealth," Journal of Health Economics, Elsevier, vol. 17(2), pages 171-185, April.
    6. Moshe A. Milevsky & Kristen S. Moore & Virginia R. Young, 2006. "Asset Allocation And Annuity-Purchase Strategies To Minimize The Probability Of Financial Ruin," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 647-671.
    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. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    9. Luis M. Viceira, 2001. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," Journal of Finance, American Finance Association, vol. 56(2), pages 433-470, April.
    10. Nancy Jianakoplos & Alexandra Bernasek, 2008. "Family Financial Risk Taking When the Wife Earns More," Journal of Family and Economic Issues, Springer, vol. 29(2), pages 289-306, June.
    11. Gupta, Aparna & Li, Zhisheng, 2007. "Integrating optimal annuity planning with consumption-investment selections in retirement planning," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 96-110, July.
    12. Sachi Purcal & John Piggott, 2008. "Explaining Low Annuity Demand: An Optimal Portfolio Application to Japan," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(2), pages 493-516.
    13. Tansel Yilmazer & Angela Lyons, 2010. "Marriage and the Allocation of Assets in Women’s Defined Contribution Plans," Journal of Family and Economic Issues, Springer, vol. 31(2), pages 121-137, June.
    14. 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.
    15. Gregory Ponthiere, 2011. "Mortality, Family and Lifestyles," Journal of Family and Economic Issues, Springer, vol. 32(2), pages 175-190, June.
    16. 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.
    17. Kuo-Liang Chang & George Langelett & Andrew Waugh, 2011. "Health, Health Insurance, and Decision to Exit from Farming," Journal of Family and Economic Issues, Springer, vol. 32(2), pages 356-372, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Che-cheong Poon & Tai-Yuen Hon, 2015. "Household Savings in Hong Kong: A Statistical Analysis," Journal of Family and Economic Issues, Springer, vol. 36(3), pages 353-368, September.
    2. Chris Browning & Sandra Huston & Michael S. Finke, 2016. "Cognitive Ability and Post-Retirement Asset Decumulation," Journal of Family and Economic Issues, Springer, vol. 37(2), pages 242-253, June.

    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:kap:jfamec:v:34:y:2013:i:4:p:447-459. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.