IDEAS home Printed from https://ideas.repec.org/a/kap/jrisku/v24y2002i3p195-212.html
   My bibliography  Save this article

Horizon Length and Portfolio Risk

Author

Listed:
  • Gollier, Christian
  • Zeckhauser, Richard J

Abstract

In this paper, we compare the attitude towards current risk of two expected-utility-maximizing investors who are identical except that the first investor will live longer than the second one. It is often suggested that the young investor should take more risks than the old investor. We consider as a benchmark the case of complete markets with a zero risk-free rate. We show that a necessary and sufficient condition to assure that younger is riskier is that the Arrow-Pratt index of absolute tolerance (T) be convex. If we allow for a positive risk-free rate, the necessary and sufficient condition is T convex, plus T(0) = 0. It extends the well-known result that rational investors can behave myopically if and only if the utility function exhibits constant relative risk aversion. Copyright 2002 by Kluwer Academic Publishers

Suggested Citation

  • Gollier, Christian & Zeckhauser, Richard J, 2002. "Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May.
    • Handle: RePEc:kap:jrisku:v:24:y:2002:i:3:p:195-212
    as

    Download full text from publisher

    File URL: http://journals.kluweronline.com/issn/0895-5646/contents
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or

    for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Cox, John C. & Leland, Hayne E., 2000. "On dynamic investment strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1859-1880, October.
    3. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    4. Gollier, Christian & Lindsey, John & Zeckhauser, Richard J., 1997. "Investment Flexibility and the Acceptance of Risk," Journal of Economic Theory, Elsevier, vol. 76(2), pages 219-241, October.
    5. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996. "Income Risk, Borrowing Constraints, and Portfolio Choice," American Economic Review, American Economic Association, vol. 86(1), pages 158-172, March.
    6. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    7. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    8. Denis Kessler & Edward N. Wolff, 1991. "A Comparative Analysis Of Household Wealth Patterns In France And The United States," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 249-266, September.
    9. Dybvig, Philip H & Lippman, Steven A, 1983. "An Alternative Characterization of Decreasing Absolute Risk Aversion," Econometrica, Econometric Society, vol. 51(1), pages 223-224, January.
    10. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    11. MOSSIN, Jan, 1968. "Optimal multiperiod portfolio policies," LIDAM Reprints CORE 19, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. He Hua & Huang Chi-fu, 1994. "Consumption-Portfolio Policies: An Inverse Optimal Problem," Journal of Economic Theory, Elsevier, vol. 62(2), pages 257-293, April.
    13. repec:bla:revinw:v:37:y:1991:i:3:p:249-66 is not listed on IDEAS
    14. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luc Arrondel & Frédérique Savignac, 2009. "Stockholding: Does housing wealth matter?," Working papers 266, Banque de France.
    2. Luis M. Viceira, 2001. "Optimal Portfolio Choice for Long‐Horizon Investors with Nontradable Labor Income," Journal of Finance, American Finance Association, vol. 56(2), pages 433-470, April.
    3. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    4. Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
    5. Letendre, Marc-Andre & Smith, Gregor W., 2001. "Precautionary saving and portfolio allocation: DP by GMM," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 197-215, August.
    6. Elmendorf, Douglas W & Kimball, Miles S, 2000. "Taxation of Labor Income and the Demand for Risky Assets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(3), pages 801-833, August.
    7. Michael Haliassos & Alexander Michaelides, 2003. "Portfolio Choice and Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 143-177, February.
    8. Koeniger, Winfried, 2001. "Labor and Financial Market Interactions: The Case of Labor Income Risk and Car Insurance in the UK 1969-95," IZA Discussion Papers 240, Institute of Labor Economics (IZA).
    9. LiCalzi, Marco & Sorato, Annamaria, 2006. "The Pearson system of utility functions," European Journal of Operational Research, Elsevier, vol. 172(2), pages 560-573, July.
    10. Christos I. Giannikos & Georgios Koimisis, 2021. "Equity Premium with Habits, Wealth Inequality and Background Risk," JRFM, MDPI, vol. 14(7), pages 1-15, July.
    11. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    12. Luigi Guiso & Tullio Jappelli, 1998. "Background Uncertainty and the Demand for Insurance Against Insurable Risks," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 7-27, June.
    13. Thomas Eichner, 2008. "Mean Variance Vulnerability," Management Science, INFORMS, vol. 54(3), pages 586-593, March.
    14. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2006. "Multiplicative Background Risk," Management Science, INFORMS, vol. 52(1), pages 146-153, January.
    15. Luc Arrondel & Hector Calvo Pardo & Xisco Oliver, 2010. "Temperance in Stock Market Participation: Evidence from France," Economica, London School of Economics and Political Science, vol. 77(306), pages 314-333, April.
    16. Xiaohong Angerer & Pok‐Sang Lam, 2009. "Income Risk and Portfolio Choice: An Empirical Study," Journal of Finance, American Finance Association, vol. 64(2), pages 1037-1055, April.
    17. Chiu, W.Henry & Madden, Paul, 2007. "Crime, punishment, and background risks," Journal of Economic Behavior & Organization, Elsevier, vol. 62(4), pages 543-555, April.
    18. Bertaut, Carol C. & Haliassos, Michael, 1997. "Precautionary portfolio behavior from a life-cycle perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1511-1542, June.
    19. Guiso, Luigi & Pagel, Michaela, 2004. "The Role of Risk Aversion in Predicting Individual Behaviours," CEPR Discussion Papers 4591, C.E.P.R. Discussion Papers.
    20. Gollier, Christian, 2005. "Does Flexibility Enhance Risk Tolerance?," IDEI Working Papers 390, Institut d'Économie Industrielle (IDEI), Toulouse.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jrisku:v:24:y:2002:i:3:p:195-212. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.