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

Author

Listed:
  • 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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    3. 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.
    4. 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.
    5. 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.
    6. Ferro, Gustavo, 2008. "On annuities: an overview of the issues," MPRA Paper 20209, University Library of Munich, Germany, revised Oct 2009.
    7. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2007. "Money in motion: Dynamic portfolio choice in retirement," CFS Working Paper Series 2007/21, Center for Financial Studies (CFS).
    8. Sun Wei & Triest Robert K. & Webb Anthony, 2008. "Optimal Retirement Asset Decumulation Strategies: The Impact of Housing Wealth," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-29, September.
    9. 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.
    10. 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.
    11. Sanders, Lisanne & Melenberg, Bertrand, 2016. "Estimating the joint survival probabilities of married individuals," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 88-106.
    12. 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.
    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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