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Risk Measures

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Author Info
Albrecht, Peter () (Sonderforschungsbereich 504)
Abstract

The present review of (financial) risk measures, prepared for the Encyclopaedia of Actuarial Science, first distinguishes two conceptions of risk. Risk of the first kind conceives risk as the magnitude of (one- or two-sided) deviations from a target, whereas risk of the second kind conceives risk as necessary capital or necessary premium, respectively. Some important axiomatic characterizations of risk measures are reviewed, including a characterization of a correspondence between risk measures of the first kind and risk measures of the second kind. Finally, a detailed overview of different risk measures of the first and second kind is presented.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 03-01.

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Length: 26 pages
Date of creation: 14 Jan 2003
Date of revision:
Handle: RePEc:xrs:sfbmaa:03-01

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  1. Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July. [Downloadable!] (restricted)
  2. Lynn Wirch, Julia & Hardy, Mary R., 1999. "A synthesis of risk measures for capital adequacy," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 337-347, December. [Downloadable!] (restricted)
  3. Sarin, Rakesh K. & Weber, Martin, 1993. "Risk-value models," European Journal of Operational Research, Elsevier, vol. 70(2), pages 135-149, October. [Downloadable!] (restricted)
  4. van der Hoek, John & Sherris, Michael, 2001. "A class of non-expected utility risk measures and implications for asset allocations," Insurance: Mathematics and Economics, Elsevier, vol. 28(1), pages 69-82, February. [Downloadable!] (restricted)
  5. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-26, March.
  6. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July. [Downloadable!] (restricted)
  7. Ogryczak, Wlodzimierz & Ruszczynski, Andrzej, 1999. "From stochastic dominance to mean-risk models: Semideviations as risk measures," European Journal of Operational Research, Elsevier, vol. 116(1), pages 33-50, July. [Downloadable!] (restricted)
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  8. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November. [Downloadable!] (restricted)
  9. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July. [Downloadable!] (restricted)
  10. Stone, Bernell K, 1973. "A General Class of Three-Parameter Risk Measures," Journal of Finance, American Finance Association, vol. 28(3), pages 675-85, June. [Downloadable!] (restricted)
  11. Tasche, Dirk, 2002. "Expected shortfall and beyond," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1519-1533, July. [Downloadable!] (restricted)
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