Advanced Search
MyIDEAS: Login to save this paper or follow this series

A rank-dependent utility model of uncertain lifetime, time consistency and life insurance

Contents:

Author Info

  • Nicolas Drouhin

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne, ENS Cachan - École Normale Supérieure de Cachan - École normale supérieure (ENS) - Cachan)

Registered author(s):

    Abstract

    In a continuous time life cycle model of consumption with uncertain lifetime and no ''pure time preference", we use a non-parametric specification of rank dependent utility theory to characterize the preferences of the agents. From normative point of view, the paper discusses the implication of adding an axiom of time consistency to the former model. We prove that time consistency holds for a much wider class of probability weighting functions than the identity one characterizing the expected utility model. This special class of probability weighting functions provides foundations for a constant subjective rate of discount which interact multiplicatively with the instantaneous conditional probability of dying. We show that even if agent are time consistent, life annuities no more provide perfect insurance against the risk to live.

    Download Info

    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: http://halshs.archives-ouvertes.fr/docs/00/76/16/19/PDF/Drouhin2012f.pdf
    Download Restriction: no

    Bibliographic Info

    Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00748662.

    as in new window
    Length:
    Date of creation: 13 Nov 2012
    Date of revision:
    Handle: RePEc:hal:cesptp:halshs-00748662

    Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00748662
    Contact details of provider:
    Web page: http://hal.archives-ouvertes.fr/

    Related research

    Keywords: intertemporal choice; life cycle theory of consumption and saving; uncertain lifetime; life insurance; time consistency; rank dependent utility.;

    This paper has been announced in the following NEP Reports:

    References

    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. 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.
    2. Peter D Sozou, 2003. "On Hyperbolic Discounting and Uncertain Hazard Rates," Levine's Working Paper Archive 618897000000000775, David K. Levine.
    3. 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.
    4. Nicolas Drouhin, 2009. "Hyperbolic discounting may be time consistent," Economics Bulletin, AccessEcon, vol. 29(4), pages 2549-2555.
    5. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-62, June.
    6. Richard Zeckhauser & W. Viscusi, 2008. "Discounting dilemmas: Editors’ introduction," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 95-106, December.
    7. Bleichrodt, Han & Eeckhoudt, Louis, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 335-346, April.
    8. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
    9. Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
    10. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    11. Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-39, September.
    12. Partha Dasgupta & Eric Maskin, 2005. "Uncertainty and Hyperbolic Discounting," American Economic Review, American Economic Association, vol. 95(4), pages 1290-1299, September.
    13. Alexander Zimper & Alexander Ludwig & Max Groneck, 2012. "A Life-Cycle Consumption Model with Ambiguous Survival Beliefs," 2012 Meeting Papers 693, Society for Economic Dynamics.
    14. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    15. Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2008. "Parametric Weighting Functions," Kiel Working Papers 1395, Kiel Institute for the World Economy.
    16. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    17. Moresi, Serge, 1999. "Uncertain lifetime, risk aversion and intertemporal substitution," Economics Letters, Elsevier, vol. 62(2), pages 207-212, February.
    18. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    19. Nicolas Drouhin, 2001. "Lifetime Uncertainty and Time Preference," Theory and Decision, Springer, vol. 51(2), pages 145-172, December.
    20. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

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

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:hal:cesptp:halshs-00748662. 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: (CCSD).

    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.