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Greater Downside Risk Aversion

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  • Keenan, Donald C
  • Snow, Arthur

Abstract

Although investors are concerned foremost with mean and variance, they are also sensitive to downside risk. In this paper, we introduce an index of downside risk aversion to distinguish risk aversion from higher-order aspects of risk preference, including prudence. We show that the index of downside risk aversion S increases with monotonic downside risk averse transformations of utility, thereby directly linking S to the definition of downside risk aversion introduced by Menezes, et al. (1980). Although the index S applies equally to risk averse and risk loving decision makers, for a given positive degree of risk aversion, S is greater when the index of prudence is greater and vice versa. Copyright 2002 by Kluwer Academic Publishers

Suggested Citation

  • Keenan, Donald C & Snow, Arthur, 2002. "Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-277, May.
  • Handle: RePEc:kap:jrisku:v:24:y:2002:i:3:p:267-77
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. repec:ebl:ecbull:v:4:y:2005:i:16:p:1-9 is not listed on IDEAS
    4. Bernard Sinclair-Desgagné & Marie-Cécile Fagart, 2004. "Auditing policies and information," Econometric Society 2004 North American Winter Meetings 86, Econometric Society.
    5. 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.
    6. 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.
    7. Marie-Cécile Fagart & Bernard Sinclair-Desgagné, 2007. "Ranking Contingent Monitoring Systems," Management Science, INFORMS, vol. 53(9), pages 1501-1509, September.
    8. Udo Ebert, 2005. "Measures of downside risk," Economics Bulletin, AccessEcon, vol. 4(16), pages 1-9.
    9. Bernard Sinclair-Desgagné & Sandrine Spaeter, 2016. "Incentive Contracts and Downside Risk Sharing," Working Papers of BETA 2016-22, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    10. 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.
    11. Yoshitaka Sakagami, 2016. "A note on fourth-order risk aversion," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(1), pages 105-111, April.
    12. James Huang & Richard Stapleton, 2017. "Higher-order risk vulnerability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 387-406, February.
    13. Bredin, Don & Conlon, Thomas & Potì, Valerio, 2017. "The price of shelter - Downside risk reduction with precious metals," International Review of Financial Analysis, Elsevier, vol. 49(C), pages 48-58.
    14. Liqun Liu & Andrew Rettenmaier & Thomas Saving, 2009. "Conditional payments and self-protection," Journal of Risk and Uncertainty, Springer, vol. 38(2), pages 159-172, April.
    15. Keenan, Donald C. & Snow, Arthur, 2009. "Greater downside risk aversion in the large," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1092-1101, May.
    16. repec:eee:mateco:v:71:y:2017:i:c:p:119-128 is not listed on IDEAS
    17. Jindapon, Paan, 2010. "Prudence probability premium," Economics Letters, Elsevier, vol. 109(1), pages 34-37, October.
    18. 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.
    19. Donald C. Keenan & Arthur Snow, 2016. "Strong Increases in Downside Risk Aversion," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 41(2), pages 149-161, September.
    20. Richard Watt & Francisco J. Vazquez, 2013. "Allocative downside risk aversion," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(4), pages 267-277, December.

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