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Elaborating a Catastrophic Loss Index for Insurance-linked Securities (ILS): A Continuous Model

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  • Pérez-Fructuoso María José

    (Madrid Open University (UDIMA), Spain)

Abstract

This paper proposes a continuous random modeling of catastrophic loss indexes underlying insurance-linked securities (ILS), by convolution of each catastrophic events amount of reported claims. This variable is calculated, in turn, as the difference between the catastrophes total severity, on one hand, and its amount of incurred-but-not-yet-reported claims, which is considered to be driven by a geometric Brownian motion, on the other hand. Parameters estimation and verification of the goodness-of-fit to a sample of data series on floods in Spain have subsequently been conducted in order to test the models validity.

Suggested Citation

  • Pérez-Fructuoso María José, 2009. "Elaborating a Catastrophic Loss Index for Insurance-linked Securities (ILS): A Continuous Model," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(2), pages 1-13, April.
  • Handle: RePEc:bpj:apjrin:v:3:y:2009:i:2:n:3
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