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Dynamic portfolio choice with deferred annuities

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  • Horneff, Wolfram
  • Maurer, Raimond
  • Rogalla, Ralph
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    Abstract

    We derive the optimal life-cycle portfolio choice and consumption pattern for households facing uncertain labor income, risky capital market, and mortality risk. In addition to stocks and bonds, the households have access to deferred annuities. Deferred payout life annuities are financial contracts providing life-long income to the annuitant after a specified period of time conditional on survival. We find that deferred annuities play an important role in household portfolios and generate significant welfare gains. Households with high benefits from state pensions, moderate risk aversion and moderate labor income risk purchase deferred annuities from age 40 and gradually increase their portfolio share. At retirement, deferred annuities account for 78% of total financial wealth. Households with low state pensions and high labor income risk purchase more annuities and earlier. Uncertainty with respect to future mortality rates has the same effect, i.e. household hedge against longevity risks using deferred annuities.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Banking & Finance.

    Volume (Year): 34 (2010)
    Issue (Month): 11 (November)
    Pages: 2652-2664

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    Handle: RePEc:eee:jbfina:v:34:y:2010:i:11:p:2652-2664

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    Web page: http://www.elsevier.com/locate/jbf

    Related research

    Keywords: Portfolio choice Household finance Deferred life annuities Stochastic mortality;

    References

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    1. 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.
    2. 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.
    3. 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.
    4. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    5. 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.
    6. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718.
    7. Broeders, Dirk & Chen, An, 2010. "Pension regulation and the market value of pension liabilities: A contingent claims analysis using Parisian options," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1201-1214, June.
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    13. Loriana Pelizzon & Guglielmo Weber, 2007. "Efficient Portfolios when Housing Needs Change over the Life-Cycle," Working Papers 2007_31, Department of Economics, University of Venice "Ca' Foscari".
    14. Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.
    15. 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.
    16. 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.
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    Citations

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    Cited by:
    1. Chen, Hsuan-Chi & Chung, San-Lin & Ho, Keng-Yu, 2011. "The diversification effects of volatility-related assets," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1179-1189, May.
    2. Hanewald, Katja & Piggott, John & Sherris, Michael, 2013. "Individual post-retirement longevity risk management under systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 87-97.
    3. Massimo Guidolin & Stuart Hyde, 2012. "Optimal Portfolios for Occupational Funds under Time-Varying Correlations in Bull and Bear Markets? Assessing the Ex-Post Economic Value," Working Papers 455, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    4. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2013. "Optimal Life Cycle Portfolio Choice with Variable Annuities Offering Liquidity and Investment Downside Protection," Working Papers wp286, University of Michigan, Michigan Retirement Research Center.
    5. Blake, David & Wright, Douglas & Zhang, Yumeng, 2011. "Age dependent investing: Optimal funding and investment strategies in defined contribution pension plans when members are rational life cycle financial planners," MPRA Paper 34277, University Library of Munich, Germany.
    6. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013. "Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, 09.
    7. Mahayni, Antje & Schneider, Judith C., 2012. "Variable annuities and the option to seek risk: Why should you diversify?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2417-2428.
    8. Marekwica, Marcel, 2012. "Optimal tax-timing and asset allocation when tax rebates on capital losses are limited," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2048-2063.
    9. Post, Thomas & Hanewald, Katja, 2013. "Longevity risk, subjective survival expectations, and individual saving behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 86(C), pages 200-220.
    10. Christelis, Dimitris & Georgarakos, Dimitris & Haliassos, Michael, 2011. "Stockholding: Participation, location, and spillovers," Journal of Banking & Finance, Elsevier, vol. 35(8), pages 1918-1930, August.
    11. Thomas Post & Katja Hanewald, 2010. "Stochastic Mortality, Subjective Survival Expectations, and Individual Saving Behavior," SFB 649 Discussion Papers SFB649DP2010-040, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

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