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