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A Robust Approach to Risk Aversion

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  • Antoine Bommier

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  • Francois Le Grand

Abstract

We investigate whether the set of Kreps and Porteus (1978) preferences include classes of preferences that are stationary, monotonic and well-ordered in terms of risk aversion. We prove that the class of preferences introduced by Hansen and Sargent (1995) in their robustness analysis is the only one that fulfills these properties. The paper therefore suggests a shift from the traditional approach to studying the role of risk aversion in recursive problems. We also provide applications, in which we discuss the impact of risk aversion on asset pricing and risk sharing.

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Bibliographic Info

Paper provided by ETH Zurich, Chair of Systems Design in its series Working Papers with number ETH-RC-13-002.

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Handle: RePEc:stz:wpaper:eth-rc-13-002

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Keywords: risk aversion; recursive utility; robustness; ordinal dominance; risk free rate; equity premium; risk sharing. JEL codes: E2; E43; E44.;

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References

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  1. Antoine Bommier & Arnold Chassagnon & François Legrand, 2010. "Comparative Risk Aversion: A Formal Approach with Applications to Savings Behaviors," Working Papers hal-00451281, HAL.
  2. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
  3. 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.
  4. Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
  5. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  6. Thomas Tallarini, . "Risk-Sensitive Real Business Cycles," GSIA Working Papers 1997-35, Carnegie Mellon University, Tepper School of Business.
  7. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April.
  8. Ana Cecília Fieler, 2011. "Nonhomotheticity and Bilateral Trade: Evidence and a Quantitative Explanation," Econometrica, Econometric Society, vol. 79(4), pages 1069-1101, 07.
  9. Simon Grant & John Quiggin, 2004. "Increasing Uncertainty: A Definition," Risk & Uncertainty Working Papers WPR04_4, Risk and Sustainable Management Group, University of Queensland.
  10. Kristof Bosmans, 2006. "Comparing degrees of inequality aversion," Public Economics Working Paper Series ineqav, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  11. repec:hal:cesptp:halshs-00212281 is not listed on IDEAS
  12. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," Review of Financial Studies, Society for Financial Studies, vol. 23(11), pages 3929-3965, November.
  13. Chew, Soo Hong & Epstein, Larry G., 1990. "Nonexpected utility preferences in a temporal framework with an application to consumption-savings behaviour," Journal of Economic Theory, Elsevier, vol. 50(1), pages 54-81, February.
  14. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  15. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
  16. repec:hal:journl:halshs-00212281 is not listed on IDEAS
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Cited by:
  1. Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2014. "Fair management of social risk," Documents de travail du Centre d'Economie de la Sorbonne 14017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  2. Antoine Bommier & Bruno Lanz & Stéphane Zuber, 2014. "Models-as-Usual for Unusual Risks? On the Value of Catastrophic Climate Change," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00973491, HAL.

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