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Less is more: increasing retirement gains by using an upside terminal wealth constraint

Author

Listed:
  • Catherine Donnelly

    (Department of Actuarial Mathematics and Statistics, and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University)

  • Russell Gerrard

    (Cass Business School, City University London)

  • Montserrat Guillén

    (Department of Econometrics, Riskcenter-IREA, Universitat de Barcelona)

  • Jens Perch Nielsen

    (Cass Business School, City University London)

Abstract

We solve a portfolio selection problem of an investor with a deterministic savings plan who aims to have a target wealth value at retirement. The investor is an expected power utility-maximizer. The target wealth value is the maximum wealth that the investor can have at retirement. By constraining the investor to have no more than the target wealth at retirement, we find that the lower quantiles of the terminal wealth distribution increase, so the risk of poor financial outcomes is reduced. The drawback of the optimal strategy is that the possibility of gains above the target wealth are eliminated.

Suggested Citation

  • Catherine Donnelly & Russell Gerrard & Montserrat Guillén & Jens Perch Nielsen, 2015. "Less is more: increasing retirement gains by using an upside terminal wealth constraint," Working Papers 2015-02, Universitat de Barcelona, UB Riskcenter.
    • Handle: RePEc:bak:wpaper:201502
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    File URL: http://www.ub.edu/rfa/research/WP/UBriskcenterWP201502.pdf
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    References listed on IDEAS

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    Cited by:

    1. Lena Schutte, 2017. "Retirement Wealth under Fixed Limits: The Optimal Strategy for Exponential Utility," Papers 1712.00463, arXiv.org.
    2. Li, Yuying & Forsyth, Peter A., 2019. "A data-driven neural network approach to optimal asset allocation for target based defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 189-204.
    3. Marcos Escobar-Anel & Michel Kschonnek & Rudi Zagst, 2022. "Portfolio optimization: not necessarily concave utility and constraints on wealth and allocation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(1), pages 101-140, February.
    4. Mercedes Ayuso & Montserrat Guillen & Jens Perch Nielsen, 2019. "Improving automobile insurance ratemaking using telematics: incorporating mileage and driver behaviour data," Transportation, Springer, vol. 46(3), pages 735-752, June.
    5. Fahrenwaldt, Matthias A. & Sun, Chaofan, 2020. "Expected utility approximation and portfolio optimisation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 301-314.
    6. Manuela Alcañiz & Aïda Solé-Auró, 2018. "Ageing and health-related quality of life: evidence from Catalonia (Spain)," Working Papers 2018-01, Universitat de Barcelona, UB Riskcenter.
    7. Estefanía Alaminos & Mercedes Ayuso, 2015. "Methodological Approach of a Multiple State Actuarial Model for the Married - Widower case for the assessment of retirement and widowhood pensions," Working Papers 2015-04, Universitat de Barcelona, UB Riskcenter.

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    Keywords

    Pension; Savings; Annuity; Investment; Retirement planning;
    All these keywords.

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