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Horizon Length and Portfolio Risk

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Author Info
 Gollier, Christian
Zeckhauser, Richard J

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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

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Article provided by Springer in its journal Journal of Risk and Uncertainty.

Volume (Year): 24 (2002)
Issue (Month): 3 (May)
Pages: 195-212
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Handle: RePEc:kap:jrisku:v:24:y:2002:i:3:p:195-212

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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.:
  1. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1994. "Income Risk, Borrowing Constraints and Portfolio Choice," CEPR Discussion Papers 888, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Dybvig, Philip H & Lippman, Steven A, 1983. "An Alternative Characterization of Decreasing Absolute Risk Aversion," Econometrica, Econometric Society, vol. 51(1), pages 223-24, January. [Downloadable!] (restricted)
  3. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January. [Downloadable!] (restricted)
  7. Gollier, C. & Lindsey, J. & Zeckhauser, R., 1996. "Investment Flexibility and the Acceptance of Risk," Papers 96.421, Toulouse - GREMAQ.
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  8. 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. [Downloadable!] (restricted)
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  9. Kessler, Denis & Wolff, Edward N, 1991. "A Comparative Analysis of Household Wealth Patterns in France and the United States," Review of Income and Wealth, Blackwell Publishing, vol. 37(3), pages 249-66, September.
  10. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January. [Downloadable!] (restricted)
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  11. 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 247-57, August. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Anne Lavigne, 2006. "Gouvernance et investissement des fonds de pension privés aux Etats-Unis," Working Papers halshs-00081401_v1, HAL. [Downloadable!]
  2. Andersson, Björn, 2001. "Portfolio Allocation over the Life Cycle: Evidence from Swedish Household Data," Working Paper Series 2001:4, Uppsala University, Department of Economics. [Downloadable!]
  3. Gabriel Picone & Frank Sloan & Donald Taylor, 2004. "Effects of Risk and Time Preference and Expected Longevity on Demand for Medical Tests," Journal of Risk and Uncertainty, Springer, vol. 28(1), pages 39-53, January. [Downloadable!] (restricted)
  4. Luigi Guiso & Tullio Jappelli, 2000. "Household Portfolios in Italy," CSEF Working Papers 43, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
    Other versions:
  5. Gollier, Christian, 2003. "Optimal Dynamic Portfolio Risk with First-Order and Second-Order Predictability," IDEI Working Papers 250, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  6. Luc Arrondel & André Masson, 2002. "Stockholding in France," DELTA Working Papers 2002-09, DELTA (Ecole normale supérieure). [Downloadable!]
  7. James Poterba & Joshua Rauh & Steven Venti & David Wise, 2006. "Lifecycle Asset Allocation Strategies and the Distribution of 401(k) Retirement Wealth," NBER Working Papers 11974, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Luigi Guiso & Monica Paiella, 2007. "Risk Aversion, Wealth, and Background Risk," Economics Working Papers ECO2007/47, European University Institute. [Downloadable!]
    Other versions:
  9. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Representative Consumer’s Risk Aversion and Efficient Risk-Sharing Rules," KIER Working Papers 620, Kyoto University, Institute of Economic Research. [Downloadable!]
    Other versions:
  10. Jaime Ruiz-Tagle, 2006. "Financial Markets Incompleteness and Inequality Over the Life-Cycle," Working Papers Central Bank of Chile 405, Central Bank of Chile. [Downloadable!]
  11. Ottavio Ricchi & Adolfo Di Carluccio & Cecilia Frale, 2004. "Do Privatizations Boost Household Shareholding? Evidence from Italy," Working Papers 2004.3, Fondazione Eni Enrico Mattei. [Downloadable!]
  12. Klos, Alexander & Langer, Thomas & Weber, Martin, 2002. "Über kurz oder lang - Welche Rolle spielt der Anlagehorizont bei Investitionsentscheidungen?," Sonderforschungsbereich 504 Publications 02-49, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
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