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

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  • Jingjing Chai
  • Wolfram Horneff
  • Raimond Maurer
  • Olivia S. Mitchell

Abstract

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, if 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.

Suggested Citation

  • Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2009. "Extending Life Cycle Models of Optimal Portfolio Choice: Integrating Flexible Work, Endogenous Retirement, and Investment Decisions with Lifetime Payouts," NBER Working Papers 15079, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:15079
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    1. John Y. Campbell & Yeung Lewis Chanb & M. Viceira, 2013. "A multivariate model of strategic asset allocation," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part II, chapter 39, pages 809-848, World Scientific Publishing Co. Pte. Ltd..
    2. 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.
    3. Hans Fehr & Sabine Jokisch & Laurence J Kotlikoff, 2006. "Will China Eat Our Lunch or Take Us to Dinner? Simulating the Transition Paths of the US, EU, Japan and China," RBA Annual Conference Volume (Discontinued), in: Christopher Kent & Anna Park & Daniel Rees (ed.),Demography and Financial Markets, Reserve Bank of Australia.
    4. 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.
    5. 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.
    6. 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.
    7. 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, October.
    8. 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.
    9. 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.
    10. 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.
    11. John Laitner, 2003. "Labor Supply Responses to Social Security," Working Papers wp050, University of Michigan, Michigan Retirement Research Center.
    12. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(2), pages 163-183, April.
    13. Martin Feldstein & Elena Ranguelova, 2001. "Individual Risk in an Investment-Based Social Security System," American Economic Review, American Economic Association, vol. 91(4), pages 1116-1125, September.
    14. 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;National Tax Journal, vol. 52(3), pages 563-592, September.
    15. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 395-427.
    16. 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.
    17. 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.
    18. LuisM. Viceira & John Y. Campbell, 2001. "Who Should Buy Long-Term Bonds?," American Economic Review, American Economic Association, vol. 91(1), pages 99-127, March.
    19. 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.
    20. Milevsky,Moshe A., 2006. "The Calculus of Retirement Income," Cambridge Books, Cambridge University Press, number 9780521842587.
    21. 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.
    22. Valery Polkovnichenko, 2007. "Life-Cycle Portfolio Choice with Additive Habit Formation Preferences and Uninsurable Labor Income Risk," The Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 83-124, January.
    23. H. Benitez-Silva & F. Heiland, 2008. "Early claiming of social security benefits and labour supply behaviour of older Americans," Applied Economics, Taylor & Francis Journals, vol. 40(23), pages 2969-2985.
    24. Gustman, Alan L. & Steinmeier, Thomas L., 2005. "The social security early entitlement age in a structural model of retirement and wealth," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 441-463, February.
    25. 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.
    26. 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.
    27. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
    28. Gary S. Fields & Olivia S. Mitchell, 1984. "Retirement, Pensions, and Social Security," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262060914, December.
    29. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    30. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 197-239.
    31. 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.
    32. 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.
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    1. repec:diw:diwfin:diwfin04050 is not listed on IDEAS
    2. Andrey Kudryavtsev & Shosh Shahrabani & Yaniv Azoulay, 2017. "Frequency of Adjusting Asset Allocations in the Life-Cycle Pension Model: When Doing More Is Not Necessarily Better," Bulletin of Applied Economics, Risk Market Journals, vol. 4(1), pages 13-33.
    3. Chai, Jingjing & Maurer, Raimond H. & Mitchell, Olivia S. & Rogalla, Ralph, 2011. "Lifecycle impacts of the financial and economic crisis on household optimal consumption, portfolio choice, and labor supply," CFS Working Paper Series 2011/23, Center for Financial Studies (CFS).
    4. Ade Ibiwoye & Lukman Ajijola, 2012. "An Actuarial Analysis of the Payout Options in Nigeria¡¯s Contributory Pension Scheme," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 3(6), pages 45-54, November.
    5. Cocco, João F. & Gomes, Francisco J., 2012. "Longevity risk, retirement savings, and financial innovation," Journal of Financial Economics, Elsevier, vol. 103(3), pages 507-529.
    6. Lusardi, Annamaria & Mitchell, Olivia S., 2011. "Financial literacy around the world: an overview," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(4), pages 497-508, October.
    7. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2010. "The Effect of Uncertain Labor Income and Social Security on Life-cycle Portfolios," NBER Working Papers 15682, National Bureau of Economic Research, Inc.
    8. 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.
    9. 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.
    10. Yaniv Azoulay & Andrey Kudryavtsev & Shosh Shahrabani, 2016. "Accumulating approach to the life-cycle pension model: practical advantages," Financial Theory and Practice, Institute of Public Finance, vol. 40(4), pages 413-436.

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    More about this item

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies

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