A Mathematical Model of Insurer Bankruptcy on a Finite Time Interval

Computational Mathematics and Modeling - Tập 32 - Trang 259-275 - 2021
A. A. Belolipetskiy1,2,3, A. A. Sychev3
1Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
2Dorodnitsyn Computational Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences (FITs IU RAN), Moscow, Russia
3Moscow Institute of Physics and Technology (Public Research University), Moscow, Russia

Tóm tắt

A discrete-time model is proposed for an insurance company with a Poisson stream of new insurance policies added to the portfolio and a mixed Poisson stream of insurance claims. Recursive formulas are derived for the first three moments of the risk surplus and a lower bound is obtained for the probability that the surplus remains positive on a given time interval.

Tài liệu tham khảo

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