Greater downside risk aversion in the large

Donald C. Keenan and Arthur Snow

Journal of Economic Theory, 2009, vol. 144, issue 3, pages 1092-1101

Abstract: In this paper, we advance a definition of greater downside risk aversion that applies to both large and small changes in risk preference, and thereby complements the results for small changes reported previously. We show that a downside risk-averse transformation of a utility function results in a function that is more downside risk averse in the same manner that a risk-averse transformation increases risk aversion. Our demonstration is conducted first by using the compensated approach introduced by Diamond and Stiglitz [P. Diamond, J. Stiglitz, Increases in risk and in risk aversion, J. Econ. Theory 8 (1974) 337-360] and then by using an adaptation of the risk premium approach taken by Pratt [J. Pratt, Risk aversion in the small and in the large, Econometrica 32 (1964) 122-136].

Keywords: Downside; risk; Risk; aversion; Arrow-Pratt; Diamond-Stiglitz (search for similar items in EconPapers)
Date: 2009

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Persistent link: http://EconPapers.repec.org/RePEc:eee:jetheo:v:144:y:2009:i:3:p:1092-1101

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