IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Ambiguous Life Expectancy and the Demand for Annuities

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2012/12050.pdf
Download Restriction: no

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 12050.

as
in new window

Length: 30 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:mse:cesdoc:12050
Contact details of provider: Postal: 106-112 boulevard de l'Hôpital 75 647 PARIS CEDEX 13
Phone: + 33 44 07 81 00
Fax: + 33 1 44 07 83 01
Web page: http://centredeconomiesorbonne.univ-paris1.fr/

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. d’Albis, Hippolyte & Thibault, Emmanuel, 2012. "Optimal annuitization, uncertain survival probabilities, and maxmin preferences," Economics Letters, Elsevier, vol. 115(2), pages 296-299.
  2. Ludwig, Alexander & Zimper, Alexander, 2007. "A Parsimonious Model of Subjective Life Expectancy," Sonderforschungsbereich 504 Publications 07-65, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  3. 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.
  4. 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.
  5. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
  6. David M Kreps & Evan L Porteus, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Levine's Working Paper Archive 625018000000000009, David K. Levine.
  7. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2002. "A smooth model of decision making under ambiguity," ICER Working Papers - Applied Mathematics Series 11-2003, ICER - International Centre for Economic Research, revised Apr 2003.
  8. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  9. Jeffrey R. Brown, 2007. "Rational and Behavioral Perspectives on the Role of Annuities in Retirement Planning," NBER Working Papers 13537, National Bureau of Economic Research, Inc.
  10. Lee Lockwood, 2012. "Bequest Motives and the Annuity Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 226-243, April.
  11. Giacomo Ponzetto, 2003. "Risk aversion and the utility of annuities," CeRP Working Papers 31, Center for Research on Pensions and Welfare Policies, Turin (Italy).
  12. Gollier, Christian, 2009. "Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion," TSE Working Papers 09-068, Toulouse School of Economics (TSE).
  13. repec:hal:journl:halshs-00451982 is not listed on IDEAS
  14. Jeffrey R. Brown & Jeffrey R. Kling & Sendhil Mullainathan & Marian V. Wrobel, 2008. "Why Don’t People Insure Late-Life Consumption? A Framing Explanation of the Under-Annuitization Puzzle," American Economic Review, American Economic Association, vol. 98(2), pages 304-09, May.
  15. Eeckhoudt, Louis & Gollier, Christian, 1995. "Demand for Risky Assets and the Monotone Probability Ratio Order," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 113-22, September.
  16. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
  17. B. Douglas Bernheim, 1989. "How Strong are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," NBER Working Papers 2942, National Bureau of Economic Research, Inc.
  18. Louis Eeckhoudt & Meglena Jeleva, 2004. "Décision médicale et probabilités imprécises," Revue économique, Presses de Sciences-Po, vol. 55(5), pages 869-881.
  19. Post Thomas, 2012. "Individual Welfare Gains from Deferred Life-Annuities under Stochastic Mortality," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(2), pages 1-26, June.
  20. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
  21. Borghans Lex & Golsteyn Bart & Heckman James & Meijers Huub, 2009. "Gender Differences in Risk Aversion and Ambiguity Aversion," ROA Research Memorandum 005, Maastricht University, Research Centre for Education and the Labour Market (ROA).
  22. Hippolyte D'Albis & Emmanuel Thibault, 2012. "Optimal annuitization, uncertain survival probabilities, and maxmin preferences," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00670320, HAL.
  23. Shlomo Benartzi & Alessandro Previtero & Richard H. Thaler, 2011. "Annuitization Puzzles," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 143-64, Fall.
  24. 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.
  25. Nicolas Treich, 2008. "The Value of a Statistical Life under Ambiguity Aversion," CESifo Working Paper Series 2291, CESifo Group Munich.
  26. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  27. Alexander Zimper & Alexander Ludwig & Max Groneck, 2012. "A Life-Cycle Consumption Model with Ambiguous Survival Beliefs," 2012 Meeting Papers 693, Society for Economic Dynamics.
  28. Lex Borghans & Bart H.H. Golsteyn & James J. Heckman & Huub Meijers, 2009. "Gender Differences in Risk Aversion and Ambiguity," Working Papers 200903, Geary Institute, University College Dublin.
  29. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  30. Ryan D. Edwards & Shripad Tuljapurkar, 2005. "Inequality in Life Spans and a New Perspective on Mortality Convergence Across Industrialized Countries," Population and Development Review, The Population Council, Inc., vol. 31(4), pages 645-674.
  31. Eytan Sheshinski, 2007. "The Economic Theory of Annuities," Economics Books, Princeton University Press, edition 1, volume 1, number 8536.
  32. repec:hal:cesptp:hal-00670320 is not listed on IDEAS
  33. Mary Riddel & W. Shaw, 2006. "A theoretically-consistent empirical model of non-expected utility: An application to nuclear-waste transport," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 131-150, March.
  34. None, 2008. "None," NBER Working Papers 13800, National Bureau of Economic Research, Inc.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:mse:cesdoc:12050. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lucie Label)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.