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An Upper Bound of the Sum of Risks: two Applications of Comonotonicity

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  • Carry Mout
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    Abstract

    This paper discusses the method of comonotonicity to estimate the sum of risks. Two applications are presented. First, we estimate a property insurer.s exposure to claims after a severe storm. Second, we apply our approach to a pension fund.s investment risk to estimate the prospective total assets and the conditional prospective funding rate. Both applications show that comonotonicity can be a useful tool to assess the upper bound for the risk exposure of financial institutions.

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    File URL: http://www.dnb.nl/binaries/Working%20Paper%20105_tcm46-146762.pdf
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    Bibliographic Info

    Paper provided by Netherlands Central Bank, Research Department in its series DNB Working Papers with number 105.

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    Date of creation: Jun 2006
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    Handle: RePEc:dnb:dnbwpp:105

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    Keywords: estimate; sum of risks; investment;

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    1. Vanduffel, Steven & Dhaene, Jan & Goovaerts, Marc, 2005. "On the evaluation of plans," Journal of Pension Economics and Finance, Cambridge University Press, vol. 4(01), pages 17-30, March.
    2. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: applications," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 133-161, October.
    3. Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: theory," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 3-33, August.
    4. J. Dhaene & S. Vanduffel & M. J. Goovaerts & R. Kaas & D. Vyncke, 2005. "Comonotonic Approximations for Optimal Portfolio Selection Problems," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 253-300.
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