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On the intensity of downside risk aversion

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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.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s11166-008-9037-x
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Bibliographic Info

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

Volume (Year): 36 (2008)
Issue (Month): 3 (June)
Pages: 267-276

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Handle: RePEc:kap:jrisku:v:36:y:2008:i:3:p:267-276

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Web page: http://www.springerlink.com/link.asp?id=100299

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Keywords: Downside risk aversion; Measure; Intensity; D81;

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References

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  1. Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-61, July.
  2. 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.
  3. Robert B. Barsky, 1986. "Why Don't the Prices of Stocks and Bonds Move Together?," NBER Working Papers 2047, National Bureau of Economic Research, Inc.
  4. 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 621-38, May.
  5. 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 915-19, September.
  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. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  8. Jérôme Foncel & Nicolas Treich, 2005. "Fear of Ruin," Journal of Risk and Uncertainty, Springer, vol. 31(3), pages 289-300, December.
  9. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
  10. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-32, December.
  11. Keenan, Donald C & Snow, Arthur, 2002. " Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-77, May.
  12. 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.
  13. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
  14. 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.
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Citations

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Cited by:
  1. Jindapon, Paan, 2013. "Do risk lovers invest in self-protection?," Economics Letters, Elsevier, vol. 121(2), pages 290-293.
  2. Gollier, Christian & Hammitt, James & Treich, Nicolas, 2013. "Risk and Choice: A Research Saga," IDEI Working Papers 804, Institut d'Économie Industrielle (IDEI), Toulouse.
  3. Jouini, Elyès & Napp, Clotilde & Nocetti, Diego, 2013. "On multivariate prudence," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1255-1267.
  4. David Crainich & Louis Eeckhoudt & James K. Hammitt, 2013. "The Value of Risk Reduction: New Tools for an Old Problem," Working Papers 2013-ECO-13, IESEG School of Management.
  5. Liqun Liu & Jack Meyer, 2013. "Normalized measures of concavity and Ross’s strongly more risk averse order," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 185-198, October.
  6. Donald Keenan & Arthur Snow, 2012. "The Schwarzian derivative as a ranking of downside risk aversion," Journal of Risk and Uncertainty, Springer, vol. 44(2), pages 149-160, April.
  7. David Crainich & Louis Eeckhoudt & Olivier Le Courtois, 2013. "An index of (absolute) correlation aversion: theory and some implications," Working Papers 2013-ECO-12, IESEG School of Management.
  8. Liu, Liqun & Meyer, Jack, 2013. "Substituting one risk increase for another: A method for measuring risk aversion," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2706-2718.
  9. repec:hal:journl:halshs-00336475 is not listed on IDEAS
  10. Georges Dionne & Jingyuan Li & Cedric Okou, 2012. "An Extension of the Consumption-based CAPM Model," Cahiers de recherche 1214, CIRPEE.
  11. repec:hal:wpaper:halshs-00635558 is not listed on IDEAS
  12. Liqun Liu & Jack Meyer, 2012. "Decreasing absolute risk aversion, prudence and increased downside risk aversion," Journal of Risk and Uncertainty, Springer, vol. 44(3), pages 243-260, June.
  13. Keenan, Donald C. & Snow, Arthur, 2010. "Greater prudence and greater downside risk aversion," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2018-2026, September.
  14. Jindapon, Paan, 2010. "Prudence probability premium," Economics Letters, Elsevier, vol. 109(1), pages 34-37, October.
  15. Kim, Kwansoo & Chavas, Jean-Paul & Barham, Bradford L. & Foltz, Jeremy D., 2012. "Rice, Irrigation and Downside Risk: A Quantile Analysis of Risk Exposure and Mitigation on Korean Farms," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124814, Agricultural and Applied Economics Association.
  16. Richard Watt, 2011. "A note on greater downside risk aversion," ICER Working Papers 17-2011, ICER - International Centre for Economic Research.
  17. Sebastian Ebert & Daniel Wiesen, 2009. "An experimental methodology testing for prudence and third-order preferences," Bonn Econ Discussion Papers bgse21_2009, University of Bonn, Germany.

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