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Measures of downside risk

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  • Udo Ebert

    (University of Oldenburg)

Abstract

The paper characterizes a family of downside risk measures. They depend on a target value and a parameter reflecting the attitude towards downside risk. The indicators are probability weighted -order means of possible shortfalls. They form a subclass of the measures intro¬duced by Stone (1973) and are related to the measures proposed by Fishburn (1977). The axiomatization is based on some properties which are desirable and appropriate for the measurement of risk.

Suggested Citation

  • Udo Ebert, 2005. "Measures of downside risk," Economics Bulletin, AccessEcon, vol. 4(16), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-05d80046
    as

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    References listed on IDEAS

    as
    1. Keenan, Donald C & Snow, Arthur, 2002. "Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-277, May.
    2. Breitmeyer, Carsten & Hakenes, Hendrik & Pfingsten, Andreas, 2004. "From poverty measurement to the measurement of downside risk," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 327-348, May.
    3. Udo Ebert & Patrick Moyes, 2002. "A Simple Axiomatization of the Foster, Greer and Thorbecke Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(4), pages 455-473, October.
    4. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    5. Dan J. Laughhunn & John W. Payne & Roy Crum, 1980. "Managerial Risk Preferences for Below-Target Returns," Management Science, INFORMS, vol. 26(12), pages 1238-1249, December.
    6. Stone, Bernell K, 1973. "A General Class of Three-Parameter Risk Measures," Journal of Finance, American Finance Association, vol. 28(3), pages 675-685, June.
    7. Unser, Matthias, 2000. "Lower partial moments as measures of perceived risk: An experimental study," Journal of Economic Psychology, Elsevier, vol. 21(3), pages 253-280, June.
    8. Sarin, Rakesh K. & Weber, Martin, 1993. "Risk-value models," European Journal of Operational Research, Elsevier, vol. 70(2), pages 135-149, October.
    9. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    10. Grootveld, Henk & Hallerbach, Winfried, 1999. "Variance vs downside risk: Is there really that much difference?," European Journal of Operational Research, Elsevier, vol. 114(2), pages 304-319, April.
    11. Peter C. Fishburn, 1984. "Foundations of Risk Measurement. I. Risk As Probable Loss," Management Science, INFORMS, vol. 30(4), pages 396-406, April.
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    Cited by:

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    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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