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Life-cycle asset allocation with annuity markets

Author

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  • Horneff, Wolfram J.
  • Maurer, Raimond H.
  • Stamos, Michael Z.

Abstract

This paper derives the optimal consumption and portfolio choice pattern over the life-cycle for households facing uninsurable labor income risk, ruin risk, stochastic capital markets, and uncertain lifetime. Our model posits a dynamic utility maximizer with CRRA and Epstein/Zin preferences who has access to liquid stocks, bonds, and illiquid life annuities. We show that a considerable fraction of wealth is gradually annuitized until retirement and beyond to skim the mortality credit. The remaining liquid wealth is mainly invested in stocks to compensate for riskless investment in life annuities. The model allows us to assess the economic importance of common explanations for the empirically low annuity demand by analyzing participations rates, annuitization fractions, and welfare effects.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:dyncon:v:32:y:2008:i:11:p:3590-3612
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Wolfram J. Horneff & Raimond H. Maurer, 2008. "Deferred Annuities and Strategic Asset Allocation," Working Papers wp178, University of Michigan, Michigan Retirement Research Center.
    3. d'Albis, Hippolyte & Etner, Johanna, 2013. "Illiquid Life Annuities," MPRA Paper 50751, University Library of Munich, Germany.
    4. 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.
    5. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2015. "Optimal life cycle portfolio choice with variable annuities offering liquidity and investment downside protection," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 91-107.
    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. 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(02), pages 163-183, April.
    8. D'Albis, Hippolyte & Thibault, Emmanuel, 2012. "Ambiguous Life Expectancy and the Demand for Annuities," TSE Working Papers 12-323, Toulouse School of Economics (TSE).
    9. 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.
    10. 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.
    11. 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.
    12. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    13. Heijdra, Ben J. & Mierau, Jochen O., 2012. "The individual life-cycle, annuity market imperfections and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 876-890.
    14. Blake, David & Wright, Douglas & Zhang, Yumeng, 2014. "Age-dependent investing: Optimal funding and investment strategies in defined contribution pension plans when members are rational life cycle financial planners," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 105-124.
    15. repec:eee:hapoch:v1_567 is not listed on IDEAS
    16. repec:hal:journl:halshs-00721281 is not listed on IDEAS
    17. Bayraktar, Erhan & Milevsky, Moshe A. & David Promislow, S. & Young, Virginia R., 2009. "Valuation of mortality risk via the instantaneous Sharpe ratio: Applications to life annuities," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 676-691, March.
    18. Cai, Jun & Ge, Chenliang, 2012. "Multi-objective private wealth allocation without subportfolios," Economic Modelling, Elsevier, vol. 29(3), pages 900-907.
    19. Hans Fehr, 2009. "Computable Stochastic Equilibrium Models and Their Use in Pension- and Ageing Research," De Economist, Springer, vol. 157(4), pages 359-416, December.
    20. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    21. 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.

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