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Extending Life Cycle Models of Optimal Portfolio Choice: Integrating Flexible Work, Endogenous Retirement, and Investment Decisions with Lifetime Payouts

  • Jingjing Chai

    (Goethe University)

  • Wolfram Horneff

    (Goethe University)

  • Raimond Maurer

    (Goethe University)

  • Olivia S. Mitchell

    (The Wharton School)

This paper derives optimal life cycle portfolio asset allocations as well as annuity purchases trajectories for a consumer who can select her hours of work and also her retirement age. Using a realistically-calibrated model with stochastic mortality and uncertain labor income, we extend the investment universe to include not only stocks and bonds, but also survival-contingent payout annuities. We show that making labor supply endogenous raises older peoples’ equity share; substantially increases work effort by the young; and markedly enhances lifetime welfare. Also, introducing annuities leads to earlier retirement and higher participation by the elderly in financial markets. Finally, when we allow for an age-dependent leisure preference parameter, this fits well with observed evidence in that it generates lower work hours and smaller equity holdings at older ages as well as sensible retirement age patterns.

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File URL: http://www.mrrc.isr.umich.edu/publications/Papers/pdf/wp204.pdf
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Paper provided by University of Michigan, Michigan Retirement Research Center in its series Working Papers with number wp204.

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Length: 34 pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:mrr:papers:wp204
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  1. Brown, Jeffrey R. & Mitchell, Olivia S. & Poterba, James M. & Warshawsky, Mark J., 1999. "Taxing Retirement Income: Nonqualified Annuities and Distributions from Qualified Accounts," National Tax Journal, National Tax Association, vol. 52(n. 3), pages 563-92, September.
  2. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
  3. Alan L. Gustman & Thomas L. Steinmeier, 2002. "The Social Security Early Entitlement Age in a Structural Model of Retirement and Wealth," Working Papers wp029, University of Michigan, Michigan Retirement Research Center.
  4. Luis M. Viceira, 1999. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," NBER Working Papers 7409, National Bureau of Economic Research, Inc.
  5. 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.
  6. John Y. Campbell & Luis M. Viceira, 1998. "Who Should Buy Long-Term Bonds?," NBER Working Papers 6801, National Bureau of Economic Research, Inc.
  7. Gary S. Fields & Olivia S. Mitchell, 1984. "Retirement, Pensions, and Social Security," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262060914.
  8. Olivia S. Mitchell & James M. Poterba & Mark J. Warshawsky, 1997. "New Evidence on the Money's Worth of Individual Annuities," NBER Working Papers 6002, National Bureau of Economic Research, Inc.
  9. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," Review of Economic Studies, Oxford University Press, vol. 72(2), pages 395-427.
  10. Hamish Low, 2005. "Self-Insurance in a Life-Cycle Model of Labor Supply and Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 945-975, October.
  11. Campbell, John Y. & Chan, Yeung Lewis & Viceira, Luis M., 2003. "A multivariate model of strategic asset allocation," Journal of Financial Economics, Elsevier, vol. 67(1), pages 41-80, January.
  12. Martin Feldstein & Elena Ranguelova, 2001. "Individual Risk in an Investment-Based Social Security System," NBER Working Papers 8074, National Bureau of Economic Research, Inc.
  13. 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.
  14. Francisco J. Gomes & Laurence J. Kotlikoff & Luis M. Viceira, 2008. "Optimal Life-Cycle Investing with Flexible Labor Supply: A Welfare Analysis of Life-Cycle Funds," American Economic Review, American Economic Association, vol. 98(2), pages 297-303, May.
  15. Farhi, Emmanuel & Panageas, Stavros, 2007. "Saving and investing for early retirement: A theoretical analysis," Journal of Financial Economics, Elsevier, vol. 83(1), pages 87-121, January.
  16. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
  17. Francisco Gomes & Alexander Michaelides, 2003. "Optimal life-cycle asset allocation: understanding the empirical evidence," LSE Research Online Documents on Economics 24900, London School of Economics and Political Science, LSE Library.
  18. Horneff, Wolfram J. & Maurer, Raimond H. & Stamos, Michael Z., 2008. "Life-cycle asset allocation with annuity markets," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3590-3612, November.
  19. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
  20. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
  21. 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.
  22. Coile, Courtney & Diamond, Peter & Gruber, Jonathan & Jousten, Alain, 2002. "Delays in claiming social security benefits," Journal of Public Economics, Elsevier, vol. 84(3), pages 357-385, June.
  23. Ranguelova, Elena & Feldstein, Martin, 2001. "Individual Risk in an Investment-Based Social Security System," Scholarly Articles 2797440, Harvard University Department of Economics.
  24. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchell & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," NBER Working Papers 14055, National Bureau of Economic Research, Inc.
  25. Valery Polkovnichenko, 2007. "Life-Cycle Portfolio Choice with Additive Habit Formation Preferences and Uninsurable Labor Income Risk," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 83-124, January.
  26. Hugo Benitez-Silva & Frank Heiland, 2005. "Early Claiming of Social Security Benefits and Labor Supply Behavior of Older Americans," Department of Economics Working Papers 05-05, Stony Brook University, Department of Economics.
  27. Olivia S. Mitchell & John W.R. Phillips, 2006. "Social Security Replacement Rates for Alternative Earnings Benchmarks," Working Papers wp116, University of Michigan, Michigan Retirement Research Center.
  28. 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.
  29. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 197-239.
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