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On the intensity of downside risk aversion

Author

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  • David Crainich

    ()

  • Louis Eeckhoudt

Abstract

The degree of downside risk aversion (or equivalently prudence) is so far usually measured by -U'''/U''. We propose here another measure, U'''/U', which has interesting properties, different from those related to -U'''/U''. It also appears that the two measures are not mutually exclusive. Instead, they seem to be rather complementary as shown through an economic application.
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(This abstract was borrowed from another version of this item.)
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Suggested Citation

  • David Crainich & Louis Eeckhoudt, 2008. "On the intensity of downside risk aversion," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 267-276, June.
  • Handle: RePEc:kap:jrisku:v:36:y:2008:i:3:p:267-276
    DOI: 10.1007/s11166-008-9037-x
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    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. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
    3. Keenan, Donald C & Snow, Arthur, 2002. "Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-277, May.
    4. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
    5. Jérôme Foncel & Nicolas Treich, 2005. "Fear of Ruin," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 289-300, December.
    6. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    7. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    8. Scott, Robert C & Horvath, Philip A, 1980. " On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-919, September.
    9. Barsky, Robert B, 1989. "Why Don't the Prices of Stocks and Bonds Move Together?," American Economic Review, American Economic Association, vol. 79(5), pages 1132-1145, December.
    10. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
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    12. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    13. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
    14. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
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    More about this item

    Keywords

    Downside risk aversion; Measure; Intensity; D81;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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