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Ambiguous Life Expectancy and the Demand for Annuities

  • Hippolyte D'Albis

    ()

    (EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris, CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Emmanuel Thibault

    ()

    (Toulouse School of Economics - TSE, CDED - Université de Perpignan, IDEI - Université Toulouse I (UT1) Capitole)

In this paper, ambiguity aversion to uncertain survival probabilities is introduced in a life-cycle model with a bequest motive to study the optimal demand for annuities. Provided that annuities return is sufficiently large, and notably when it is fair, positive annuitization is known to be optimal strategy of ambiguity neutral individuals. Conversely, we show that the demand for annuities decreases with ambiguity aversion and that there exists a finite degree of aversion above which the demand is non positive : the optimal strategy is then to either sell annuities short or to hold zero annuities if the former option is not available. To conclude, ambiguity aversion appears as a relevant candidate for explaining the annuity puzzle.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00721281.

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Date of creation: Jul 2012
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Handle: RePEc:hal:cesptp:halshs-00721281
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  1. Mullainathan, Sendhil & Brown, Jeffrey R. & Kling, Jeffrey R. & Wrobel, Marian Vaillant, 2008. "Why Don't People Insure Late Life Consumption? A Framing Explanation of the Under-Annuitization Puzzle," Scholarly Articles 2799056, Harvard University Department of Economics.
  2. Alexander Ludwig & Alexander Zimper, 2007. "A Parsimonious Model of Subjective Life Expectancy," MEA discussion paper series 07154, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
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  7. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
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  10. Hippolyte D'Albis & Emmanuel Thibault, 2012. "Optimal annuitization, uncertain survival probabilities, and maxmin preferences," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00670320, HAL.
  11. Thibault Gajdos & Takashi Hayashi & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2008. "Attitude toward imprecise information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00451982, HAL.
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  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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