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Utility indifference pricing of insurance catastrophe derivatives

We propose a model for an insurance loss index and the claims process of a single insurance company holding a fraction of the total number of contracts that captures both ordinary losses and losses due to catastrophes. In this model we price a catastrophe derivative by the method of utility indiffer...

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Detalles Bibliográficos
Autores principales: Eichler , Andreas, Leobacher, Gunther, Szölgyenyi, Michaela
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5744642/
https://www.ncbi.nlm.nih.gov/pubmed/29323354
http://dx.doi.org/10.1007/s13385-017-0154-2
Descripción
Sumario:We propose a model for an insurance loss index and the claims process of a single insurance company holding a fraction of the total number of contracts that captures both ordinary losses and losses due to catastrophes. In this model we price a catastrophe derivative by the method of utility indifference pricing. The associated stochastic optimization problem is treated by techniques for piecewise deterministic Markov processes. A numerical study illustrates our results.