IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v46y2010i1p198-209.html
   My bibliography  Save this article

Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses

Author

Listed:
  • Pang, Gaobo
  • Warshawsky, Mark

Abstract

This paper derives optimal equity-bond-annuity portfolios for retired households who face stochastic capital market returns, differential exposures to mortality risk and uncertain uninsured health expenses, and differential Social Security and defined benefit pension coverage. The results show that the health spending risk drives household portfolios to shift from risky equities to safer assets and enhances the demand for annuities due to their increasing-with-age superiority over bonds in hedging against life-contingent health spending and longevity risks. Households with higher income have a greater incremental demand for life annuities. The annuities in turn provide greater leverage for equity investment in the remaining asset portfolios.

Suggested Citation

  • Pang, Gaobo & Warshawsky, Mark, 2010. "Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 198-209, February.
  • Handle: RePEc:eee:insuma:v:46:y:2010:i:1:p:198-209
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-6687(09)00098-5
    Download Restriction: Full text for ScienceDirect subscribers only

    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. Dushi, Irena & Webb, Anthony, 2004. "Household annuitization decisions: simulations and empirical analyses," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(02), pages 109-143, July.
    2. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    3. Kotlikoff, Laurence J & Spivak, Avia, 1981. "The Family as an Incomplete Annuities Market," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 372-391, April.
    4. Abel, Andrew B & Warshawsky, Mark, 1988. "Specification of the Joy of Giving: Insights from Altruism," The Review of Economics and Statistics, MIT Press, vol. 70(1), pages 145-149, February.
    5. Eytan Sheshinski, 2007. "Introduction to The Economic Theory of Annuities," Introductory Chapters,in: The Economic Theory of Annuities Princeton University Press.
    6. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    7. 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.
    8. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
    9. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-969, July.
    10. Wolfram Horneff & Raimond Maurer & Olivia Mitchell & Michael Stamos, 2007. "Money in Motion: Dynamic Portfolio Choice in Retirement," Working Papers wp152, University of Michigan, Michigan Retirement Research Center.
    11. Michael G. Palumbo, 1999. "Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle," Review of Economic Studies, Oxford University Press, vol. 66(2), pages 395-421.
    12. 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.
    13. 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.
    14. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    15. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life-Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, April.
    16. 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.
    17. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    18. Wolfram Horneff & Raimond Maurer & Olivia Mitchell & Ivica Dus, 2006. "Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion," Working Papers wp124, University of Michigan, Michigan Retirement Research Center.
    19. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," Review of Economic Studies, Oxford University Press, vol. 32(2), pages 137-150.
    20. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
    21. Christopher D. Carroll, 1992. "The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 61-156.
    22. Eytan Sheshinski, 2007. "The Economic Theory of Annuities," Economics Books, Princeton University Press, edition 1, number 8536, October.
    23. Sven H. Sinclair & Kent A. Smetters, 2004. "Health Shocks and the Demand for Annuities: Technical Paper 2004-09," Working Papers 15868, Congressional Budget Office.
    24. Jeffrey R. Brown & James M. Poterba, 1999. "Joint Life Annuities and Annuity Demand by Married Couples," NBER Working Papers 7199, National Bureau of Economic Research, Inc.
    25. Wolfram Horneff & Raimond Maurer & Michael Stamos, 2006. "Life-Cycle Asset Allocation with Annuity Markets: Is Longevity Insurance a Good Deal?," Working Papers wp146, University of Michigan, Michigan Retirement Research Center.
    26. 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.
    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. Antoine Bommier, Francois Le Grand, "undated". "Too Risk Averse to Purchase Insurance? A Theoretical Glance at the Annuity Puzzle," Working Papers ETH-RC-12-002, ETH Zurich, Chair of Systems Design.
    2. Peijnenburg, Kim & Nijman, Theo & Werker, Bas J.M., 2016. "The annuity puzzle remains a puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 70(C), pages 18-35.
    3. Yogo, Motohiro, 2016. "Portfolio choice in retirement: Health risk and the demand for annuities, housing, and risky assets," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 17-34.
    4. Schreiber, Philipp & Weber, Martin, 2016. "Time inconsistent preferences and the annuitization decision," Journal of Economic Behavior & Organization, Elsevier, vol. 129(C), pages 37-55.
    5. Wei Sun & Anthony Webb, 2009. "How Much Do Households Really Lose By Claiming Social Security at Age 62?," Working Papers, Center for Retirement Research at Boston College wp2009-11, Center for Retirement Research, revised Apr 2009.
    6. David A. Love & Paul A. Smith, 2010. "Does health affect portfolio choice?," Health Economics, John Wiley & Sons, Ltd., vol. 19(12), pages 1441-1460, December.
    7. Mariacristina De Nardi & Eric French & John B. Jones, 2010. "Why Do the Elderly Save? The Role of Medical Expenses," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 39-75, February.
    8. Dana Goldman & Nicole Maestas, 2013. "Medical Expenditure Risk And Household Portfolio Choice," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 527-550, June.
    9. Bütler, Monika & Peijnenburg, Kim & Staubli, Stefan, 2017. "How much do means-tested benefits reduce the demand for annuities?," Journal of Pension Economics and Finance, Cambridge University Press, vol. 16(04), pages 419-449, October.
    10. Bovenberg, A Lans & Nijman, Theo E, 2015. "Personal Pensions with Risk sharing: Affordable, Adequate and Stable Private Pensions in Europe," CEPR Discussion Papers 10538, C.E.P.R. Discussion Papers.
    11. Pashchenko, Svetlana, 2013. "Accounting for non-annuitization," Journal of Public Economics, Elsevier, vol. 98(C), pages 53-67.
    12. David A. Love, 2010. "The Effects of Marital Status and Children on Savings and Portfolio Choice," Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 385-432, January.
    13. Sutcliffe, Charles, 2015. "Trading death: The implications of annuity replication for the annuity puzzle, arbitrage, speculation and portfolios," International Review of Financial Analysis, Elsevier, vol. 38(C), pages 163-174.
    14. Joachim Inkmann & Paula Lopes & Alexander Michaelides, 2011. "How Deep Is the Annuity Market Participation Puzzle?," Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 279-319.
    15. Peijnenburg, J.M.J. & Nijman, T.E. & Werker, B.J.M., 2010. "Optimal Annuitization with Incomplete Annuity Markets and Background Risk During Retirement," Discussion Paper 2010-11, Tilburg University, Center for Economic Research.
    16. Jason Brown & Mark Warshawsky, 2013. "The Life Care Annuity: A New Empirical Examination of an Insurance Innovation That Addresses Problems in the Markets for Life Annuities and Long-Term Care Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 677-704, September.
    17. repec:eee:hapoch:v1_567 is not listed on IDEAS
    18. Beshears, John & Choi, James J. & Laibson, David & Madrian, Brigitte C. & Zeldes, Stephen P., 2014. "What makes annuitization more appealing?," Journal of Public Economics, Elsevier, vol. 116(C), pages 2-16.
      • John Beshears & James Choi & David Laibson & Brigitte C. Madrian & Stephen P. Zeldes, 2012. "What Makes Annuitization More Appealing?," NBER Chapters,in: Retirement Benefits for State and Local Employees: Designing Pension Plans for the Twenty-First Century National Bureau of Economic Research, Inc.
    19. Steinorth, Petra & Mitchell, Olivia S., 2015. "Valuing variable annuities with guaranteed minimum lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 246-258.
    20. Peijnenburg, J.M.J. & Nijman, T.E. & Werker, B.J.M., 2010. "Health Cost Risk and Optimal Retirement Provision : A Simple Rule for Annuity Demand," Discussion Paper 2010-14, Tilburg University, Center for Economic Research.
    21. Ewald, Christian-Oliver & Zhang, Aihua, 2017. "On the effects of changing mortality patterns on investment, labour and consumption under uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 105-115.
    22. Schendel, Lorenz S., 2014. "Critical illness insurance in life cycle portfolio problems," SAFE Working Paper Series 44, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    23. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    24. Julien Hugonnier & Florian Pelgrin & Pascal St-Amour, 2010. "A structural analysis of the health expenditures and portfolio choices of retired agents," Swiss Finance Institute Research Paper Series 10-29, Swiss Finance Institute.
    25. Anthony Webb & Natalia Zhivan, 2010. "How Much Is Enough? The Distribution of Lifetime Health Care Costs," Working Papers, Center for Retirement Research at Boston College wp2010-1, Center for Retirement Research, revised Feb 2010.

    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:eee:insuma:v:46:y:2010:i:1:p:198-209. 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: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    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.