The present paper studies some computational challenges for the determination of the probability of ruin of an insurer, if excess of loss reinsurance with reinstatements is applied. In the setting of classical risk theory, a contractive integral operator is studied whose fixed point is the ruin probability of the cedent. We develop and implement a recursive algorithm involving high-dimensional integration to obtain a numerical approximation of this quantity. Furthermore we analyze the effect of different starting functions and recursion depths on the performance of the algorithm and compare the results with the alternative of stochastic simulation of the risk process. © Springer-Verlag Berlin Heidelberg 2010.
CITATION STYLE
Albrecher, H., & Haas, S. (2010). A numerical approach to ruin models with excess of loss reinsurance and reinstatements. In Proceedings of COMPSTAT 2010 - 19th International Conference on Computational Statistics, Keynote, Invited and Contributed Papers (pp. 135–144). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-7908-2604-3_12
Mendeley helps you to discover research relevant for your work.