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A Robust Approach to Risk Aversion

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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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File URL: http://www.cer.ethz.ch/research/WP-13-172.pdf
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Bibliographic Info

Paper provided by CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich in its series CER-ETH Economics working paper series with number 13/172.

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Length: 45 pages
Date of creation: Jan 2013
Date of revision:
Handle: RePEc:eth:wpswif:13-172

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Keywords: risk aversion; recursive utility; robustness; ordinal dominance; risk free rate; equity premium; risk sharing;

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  1. Grant, Simon & Quiggan, John, 2004. "Increasing Uncertainty: A Definition," Working Papers 2002-11, Rice University, Department of Economics.
  2. Thomas Tallarini, . "Risk-Sensitive Real Business Cycles," GSIA Working Papers 1997-35, Carnegie Mellon University, Tepper School of Business.
  3. Ana Cecília Fieler, 2011. "Nonhomotheticity and Bilateral Trade: Evidence and a Quantitative Explanation," Econometrica, Econometric Society, vol. 79(4), pages 1069-1101, 07.
  4. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  5. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics 29, Federal Reserve Bank of Minneapolis.
  6. Le Grand, François & Chassagnon, Arnold & Bommier, Antoine, 2012. "Comparative Risk Aversion: A Formal Approach with Applications to Saving Behaviors," Economics Papers from University Paris Dauphine 123456789/4434, Paris Dauphine University.
  7. 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.
  8. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," NBER Working Papers 16316, National Bureau of Economic Research, Inc.
  9. 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.
  10. Kristof Bosmans, 2007. "Comparing degrees of inequality aversion," Social Choice and Welfare, Springer, vol. 29(3), pages 405-428, October.
  11. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
  12. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  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. 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.
  15. repec:hal:journl:halshs-00212281 is not listed on IDEAS
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Cited by:
  1. 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.
  2. 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.

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