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Optimal retirement consumption with a stochastic force of mortality

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Listed author(s):
  • Huang, Huaxiong
  • Milevsky, Moshe A.
  • Salisbury, Thomas S.
Registered author(s):

    Abstract

    We extend the lifecycle model (LCM) of consumption over a random horizon (also known as the Yaari model) to a world in which (i) the force of mortality obeys a diffusion process as opposed to being deterministic, and (ii) consumers can adapt their consumption strategy to new information about their mortality rate (also known as health status) as it becomes available. In particular, we derive the optimal consumption rate and focus on the impact of mortality rate uncertainty versus simple lifetime uncertainty — assuming that the actuarial survival curves are initially identical — in the retirement phase where this risk plays a greater role.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167668712000480
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    Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

    Volume (Year): 51 (2012)
    Issue (Month): 2 ()
    Pages: 282-291

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    Handle: RePEc:eee:insuma:v:51:y:2012:i:2:p:282-291
    DOI: 10.1016/j.insmatheco.2012.03.013
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505554

    Keywords: Lifecycle consumption; Stochastic mortality; Survival curve matching;

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    Cited by:

    1. Paweł Rokita & Radosław Pietrzyk & Łukasz Feldman, 2014. "Multiobjective Optimization of Financing Household Goals with Multiple Investment Programs," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(2), pages 243-268, March.
    2. Ewald, Christian-Oliver & Zhang, Aihua, 2017. "On the effects of changing mortality patterns on investment, labour and consumption under uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 105-115.
    3. Feigenbaum, James, 2016. "Equivalent representations of non-exponential discounting models," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 58-71.
    4. 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.
    5. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT Institute for Advanced Studies Lucca, revised May 2015.
    6. Delong, Łukasz & Chen, An, 2016. "Asset allocation, sustainable withdrawal, longevity risk and non-exponential discounting," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 342-352.
    7. de Kort, J. & Vellekoop, M.H., 2017. "Existence of optimal consumption strategies in markets with longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 107-121.
    8. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.

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