This paper proposes a multistate model with a Semi-Markov dependence structure describing the different stages in the settlement process of individual claims in general insurance. Every trajectory, from reporting to closure is combined with a modeling of individual link ratios to obtain the ultimate cost of each claim. Quantiles and other risk measures can then easily be obtained by simulation. A case study based on individual claim developments in a motor third party liability insurance portfolio illustrates the relevance of the proposed approach.
Keywords: IBNR, RBNP, RBNS, loss development, technical provisions, solvency calculation, financial reporting.
Sector: Insurance
Expertise: Solvency calculation
Authors: Carole Bettonville,
Robin Van Oirbeek,
Michel Denuit & Julien Trufin
Publisher: Detralytics
Date: March 2020
Language: English
Pages: 29
Reference : Detra Note 2020-1
Carole is a Freelance Expert at Detralytics. During her various missions, Carole has worked on various fields such as calibration of lapse rate and mortality models and a project as part of the IFRS 17 framework, aiming at identifying a Best Estimate allocation key based on some claims characteristics. Prior to joining Detralytics, Carole worked as an intern at Axa Belgium.
Michel is a Scientific Advisor at Detralytics, as well as a professor in actuarial science at the Université Catholique de Louvain. He has international experience as a visiting professor, and has promoted many projects in collaboration with the industry. At Detralytics, Michel coaches young talents, provides cutting-edge training, fosters innovation and oversees R&D projects.
Julien is a Scientific Advisor at Detralytics, as well as a professor in Actuarial Science at the department of mathematics of the Université Libre de Bruxelles. Julien has experience as a consultant and a strong academic background developed at prominent institutions, including Université Laval (Canada), UCL, and ULB (Belgium). At Detralytics, Julien coaches young talents, provide cutting-edge training, fosters innovation and oversees R&D projects.
