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On characterization of a class of convex operators for pricing insurance risks

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Author Info

  • Marta Cardin

    (Department of Applied Mathematics-University Ca'Foscari-Venice)

  • Graziella Pacelli

    (Department of Social sciences- University of Ancona)

Abstract

The properties of risk measures or insurance premium principles have been extensively studied in actuarial literature. We propose an axiomatic description of a particular class of coherent risk measures defined in Artzner, Delbaen, Eber, and Heath (1999). The considered risk measures are obtained by expansion of TVar measures, consequently they look like very interesting in insurance pricing where TVar measures is frequently used to value tail risks.

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File URL: http://128.118.178.162/eps/game/papers/0511/0511011.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0511011.

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Length: 9 pages
Date of creation: 29 Nov 2005
Date of revision:
Handle: RePEc:wpa:wuwpga:0511011

Note: Type of Document - pdf; pages: 9
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Web page: http://128.118.178.162

Related research

Keywords: Risk measures; premium principles; Choquet measures distortion function; TVar .;

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  1. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
  2. 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.
  3. Wang, Shaun & Dhaene, Jan, 1998. "Comonotonicity, correlation order and premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 235-242, July.
  4. 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.
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