Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902102 | Journal of Computational and Applied Mathematics | 2018 | 29 Pages |
Abstract
This paper adopts the new loss reserving approach proposed by Denuit and Trufin (2016), inspired from the collective model of risk theory. But instead of considering the whole set of claims as a collective, two types of claims are distinguished, those claims with relatively short development patterns and claims requiring longer developments. In each case, the total payment per cell is modelled by means of a Compound Poisson distribution with appropriate assumptions about the severities. A case study based on a motor third party liability insurance portfolio observed over 2004-2014 is used to illustrate the approach proposed in this paper. Comparisons with Chain-Ladder are performed and reveal significant differences in best estimates as well as in Value-at-Risk at high probability levels.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Michel Denuit, Julien Trufin,