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Involving copula functions in Conditional Tail Expectation

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  • Brahim Brahimi
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    Abstract

    Our goal in this paper is to propose an alternative risk measure which takes into account the fluctuations of losses and possible correlations between random variables. This new notion of risk measures, that we call Copula Conditional Tail Expectation describes the expected amount of risk that can be experienced given that a potential bivariate risk exceeds a bivariate threshold value, and provides an important measure for right-tail risk. An application to real financial data is given.

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    File URL: http://arxiv.org/pdf/1205.4345
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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number 1205.4345.

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    Date of creation: May 2012
    Date of revision: Apr 2014
    Handle: RePEc:arx:papers:1205.4345

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    Web page: http://arxiv.org/

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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, 1996. "Ordering of risks under PH-transforms," Insurance: Mathematics and Economics, Elsevier, vol. 18(2), pages 109-114, July.
    3. 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.
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