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Conditional value-at-risk bounds for compound Poisson risks and a normal approximation

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  • Werner Hürlimann

Abstract

A considerable number of equivalent formulas defining conditional value-at-risk and expected shortfall are gathered together. Then we present a simple method to bound the conditional value-at-risk of compound Poisson loss distributions under incomplete information about its severity distribution, which is assumed to have a known finite range, mean, and variance. This important class of nonnormal loss distributions finds applications in actuarial science, where it is able to model the aggregate claims of an insurance-risk business.

Suggested Citation

  • Werner Hürlimann, 2003. "Conditional value-at-risk bounds for compound Poisson risks and a normal approximation," Journal of Applied Mathematics, Hindawi, vol. 2003, pages 1-13, January.
  • Handle: RePEc:hin:jnljam:641645
    DOI: 10.1155/S1110757X0320108X
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