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Theoretical considerations on the retirement consumption puzzle and the optimal age of retirement

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  • Nicolas Drouhin

    () (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - ENSAE ParisTech - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique, ENS Paris Saclay - Ecole Normale Supérieure Paris-Saclay)

Abstract

Defining retirement as a discontinuity in the labor supply of the agent, this paper resolves the retirement consumption puzzle in a very general model of in-tertemporal choice of consumption and savings of a fully rational, forward looking, agent. Building on a specific version of Bellman (1957) principle of optimality, it provides a very general and parsimonious formula for determining the optimal age of retirement taking into account the possible discontinuity of the optimal consumption profile at the age of retirement. Code JEL: C61 D91 J26

Suggested Citation

  • Nicolas Drouhin, 2018. "Theoretical considerations on the retirement consumption puzzle and the optimal age of retirement," Working Papers halshs-01767096, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01767096
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01767096
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    1. Erich Battistin & Agar Brugiavini & Enrico Rettore & Guglielmo Weber, 2009. "The Retirement Consumption Puzzle: Evidence from a Regression Discontinuity Approach," American Economic Review, American Economic Association, vol. 99(5), pages 2209-2226, December.
    2. Banks, James & Blundell, Richard & Tanner, Sarah, 1998. "Is There a Retirement-Savings Puzzle?," American Economic Review, American Economic Association, vol. 88(4), pages 769-788, September.
    3. Nicolas Drouhin, 2019. "Non stationary additive utility and time consistency," Working Papers halshs-01238584, HAL.
    4. Klaus Prettner & David Canning, 2014. "Increasing life expectancy and optimal retirement in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 191-217, May.
    5. Hamermesh, Daniel S, 1984. "Consumption during Retirement: The Missing Link in the Life Cycle," The Review of Economics and Statistics, MIT Press, vol. 66(1), pages 1-7, February.
    6. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    7. Chang, Fwu-Ranq, 1991. "Uncertain Lifetimes, Retirement and Economic Welfare," Economica, London School of Economics and Political Science, vol. 58(230), pages 215-232, May.
    8. Drouhin, Nicolas, 2015. "A rank-dependent utility model of uncertain lifetime," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 208-224.
    9. Nicolas Drouhin, 2015. "A rank-dependent utility model of uncertain lifetime," Post-Print halshs-01238589, HAL.
    10. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
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    13. dʼAlbis, Hippolyte & Lau, Sau-Him Paul & Sánchez-Romero, Miguel, 2012. "Mortality transition and differential incentives for early retirement," Journal of Economic Theory, Elsevier, vol. 147(1), pages 261-283.
    14. repec:dau:papers:123456789/6825 is not listed on IDEAS
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    16. Sheshinski, Eytan, 1978. "A model of social security and retirement decisions," Journal of Public Economics, Elsevier, vol. 10(3), pages 337-360, December.
    17. B. Douglas Bernheim & Jonathan Skinner & Steven Weinberg, 2001. "What Accounts for the Variation in Retirement Wealth among U.S. Households?," American Economic Review, American Economic Association, vol. 91(4), pages 832-857, September.
    18. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    19. George-Marios Angeletos, 2001. "The Hyberbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 47-68, Summer.
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    More about this item

    Keywords

    life cycle theory of consumption and saving; optimal retirement; retirement consumption puzzle; discontinuous optimal control;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies

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