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Optimizing the Retirement Portfolio: Asset Allocation, Annuitization, and Risk Aversion

Author

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  • Wolfram Horneff

    (Johann Wolfgang Goethe-University of Frankfort)

  • Raimond Maurer

    (Johann Wolfgang Goethe-University of Frankfort)

  • Olivia Mitchell

    (Wharton School, University of Pennsylvania)

  • Ivica Dus

    (Johann Wolfgang Goethe-University of Frankfort)

Abstract

Retirees must draw down their accumulated assets in an orderly fashion so as not to exhaust their funds too soon. We derive the optimal retirement portfolio from a menu that includes payout annuities as well as an investment allocation and a withdrawal strategy, assuming risk aversion, stochastic capital markets, and uncertain lifetimes. The resulting portfolio allocation, when fixed as of retirement, is then compared to phased withdrawal strategies such a "self-annuitization" plan or the 401(k) 'default' pattern encouraged under US tax law. Surprisingly, the fixed percentage approach proves appealing for retirees across a wide range of risk preferences, supporting financial planning advisors who often recommend this rule. We then permit the retiree to switch to an annuity later, which gives her the chance to invest in the capital market and "bet on death." As risk aversion rises, annuities first crowd out bonds in retiree portfolios; at higher risk aversion still, annuities replace equities in the portfolio. Making annuitization compulsory can also lead to substantial utility losses for less risk-averse investors.

Suggested Citation

  • 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.
  • Handle: RePEc:mrr:papers:wp124
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    1. Bernheim, B Douglas, 1991. "How Strong Are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 899-927, October.
    2. Olivia S. Mitchell, 1999. "New Evidence on the Money's Worth of Individual Annuities," American Economic Review, American Economic Association, vol. 89(5), pages 1299-1318, December.
    3. Michael D. Hurd & James P. Smith, 2001. "Anticipated and Actual Bequests," NBER Chapters, in: Themes in the Economics of Aging, pages 357-392, National Bureau of Economic Research, Inc.
    4. Babbs, Simon H. & Nowman, K. Ben, 1999. "Kalman Filtering of Generalized Vasicek Term Structure Models," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(1), pages 115-130, March.
    5. Feldstein, Martin & Liebman, Jeffrey B., 2002. "Social security," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 32, pages 2245-2324, Elsevier.
    6. Kingston, Geoffrey & Thorp, Susan, 2005. "Annuitization and asset allocation with HARA utility," Journal of Pension Economics and Finance, Cambridge University Press, vol. 4(3), pages 225-248, November.
    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. John Y. Campbell & Martin Feldstein, 2001. "Introduction to "Risk Aspects of Investment-Based Social Security Reform"," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 1-10, National Bureau of Economic Research, Inc.
    9. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2003. "Pensionmetrics 2: stochastic pension plan design during the distribution phase," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 29-47, August.
    10. Ho, Kwok & Milevsky, Moshe Arye & Robinson, Chris, 1994. "Asset allocation, life expectancy and shortfall," Financial Services Review, Elsevier, vol. 3(2), pages 109-126.
    11. Milevsky, Moshe Arye & Ho, Kwok & Robinson, Chris, 1997. "Asset Allocation via the Conditional First Exit Time or How to Avoid Outliving Your Money," Review of Quantitative Finance and Accounting, Springer, vol. 9(1), pages 53-70, July.
    12. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    13. John F. Cogan & Olivia S. Mitchell, 2003. "Perspectives from the President's Commission on Social Security Reform," Journal of Economic Perspectives, American Economic Association, vol. 17(2), pages 149-172, Spring.
    14. Brugiavini, Agar, 1993. "Uncertainty resolution and the timing of annuity purchases," Journal of Public Economics, Elsevier, vol. 50(1), pages 31-62, January.
    15. Albrecht, Peter & Maurer, Raimond, 2002. "Self-Annuitization, Consumption Shortfall in Retirement and Asset Allocation: The Annuity Benchmark," Journal of Pension Economics and Finance, Cambridge University Press, vol. 1(3), pages 269-288, November.
    16. Moshe Milevsky & Chris Robinson, 2000. "Self-Annuitization and Ruin in Retirement," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(4), pages 112-124.
    17. Moshe Arye Milevsky, 2001. "Optimal Annuitization Policies," North American Actuarial Journal, Taylor & Francis Journals, vol. 5(1), pages 57-69.
    18. Jeffrey R. Brown & Olivia S. Mitchell & James M. Poterba, 2001. "The Role of Real Annuities and Indexed Bonds in an Individual Accounts Retirement Program," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 321-370, National Bureau of Economic Research, Inc.
    19. Dushi, Irena & Webb, Anthony, 2004. "Household annuitization decisions: simulations and empirical analyses," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(2), pages 109-143, July.
    20. Robert C. Merton, 1983. "On Consumption Indexed Public Pension Plans," NBER Chapters, in: Financial Aspects of the United States Pension System, pages 259-290, National Bureau of Economic Research, Inc.
    21. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    22. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    23. 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.
    24. Albrecht, Peter & Maurer, Raimond, 2001. "Self-Annuitization, Ruin Risk in Retirement and Asset Allocation: The Annuity Benchmark," Sonderforschungsbereich 504 Publications 01-35, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    25. Milevsky,Moshe A., 2006. "The Calculus of Retirement Income," Cambridge Books, Cambridge University Press, number 9780521842587, October.
    26. Martin Feldstein & Elena Ranguelova & Andrew Samwick, 2001. "The Transition to Investment-Based Social Security When Portfolio Returns and Capital Profitability Are Uncertain," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 41-90, National Bureau of Economic Research, Inc.
    27. John Y. Campbell & Martin Feldstein, 2001. "Risk Aspects of Investment-Based Social Security Reform," NBER Books, National Bureau of Economic Research, Inc, number camp01-1, January.
    28. 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.
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    Cited by:

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    3. Yannis Bilias & Dimitris Georgarakos & Michael Haliassos, 2010. "Portfolio Inertia and Stock Market Fluctuations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(4), pages 715-742, June.
    4. 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.
    5. Sanders, Lisanne & De Waegenaere, Anja & Nijman, Theo E., 2013. "When can insurers offer products that dominate delayed old-age pension benefit claiming?," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 134-149.
    6. Peijnenburg, J.M.J. & Nijman, T.E. & Werker, B.J.M., 2010. "Optimal Annuitization with Incomplete Annuity Markets and Background Risk During Retirement," Other publications TiSEM 0b8e2130-a64a-48c1-97d6-8, Tilburg University, School of Economics and Management.
    7. 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.
    8. Chavez-Bedoya, Luis & Castaneda, Ranu, 2021. "A benchmarking approach to track and compare administrative charges on flow and balance in individual account pension systems," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 7-23.
    9. Sanders, Lisanne & Melenberg, Bertrand, 2016. "Estimating the joint survival probabilities of married individuals," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 88-106.
    10. Ferro, Gustavo, 2008. "Un impulso al mercado de rentas vitalicias en España [Promoting the annuities market in Spain]," MPRA Paper 20211, University Library of Munich, Germany, revised Jul 2008.
    11. Olivia S Mitchell & John Piggott & Michael Sherris & Shaun Yow, 2006. "Financial Innovation for an Ageing World," RBA Annual Conference Volume (Discontinued), in: Christopher Kent & Anna Park & Daniel Rees (ed.),Demography and Financial Markets, Reserve Bank of Australia.
    12. Ferro, Gustavo, 2008. "On annuities: an overview of the issues," MPRA Paper 20209, University Library of Munich, Germany, revised Oct 2009.
    13. Sanders, E.A.T. & De Waegenaere, A.M.B. & Nijman, T.E., 2010. "When Can Insurers Offer Products That Dominate Delayed Old-Age Pension Benefit Claiming?," Other publications TiSEM ea3f9bbb-92ce-4dfe-a1fe-e, Tilburg University, School of Economics and Management.
    14. 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.

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