Volume 4, Issue 2, April 2016, Page: 105-109
EVT and Its Application to Pricing of Catastrophe (Typhoon) Reinsurance
Hu Yue, Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P.R. China
Zhang Li, Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P.R. China
Shen Li-jie, Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P.R. China
Gao Li-ya, Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou, P.R. China
Received: Apr. 10, 2016;       Published: Apr. 11, 2016
DOI: 10.11648/j.ajam.20160402.16      View  3713      Downloads  120
Abstract
Extreme value theory is a branch of the theory of order statistics and it is a statistical study of extreme events disciplined approach. There is often extreme values in catastrophe losses, the use of traditional methods of statistical laws describe the amount of catastrophe losses would ignore the existence of extreme data. In this paper, we consider the premium of excess-of-loss reinsurance policies with different attachment points based on the idea of layered pricing using extreme value model, and we fit POT model to the typhoon loss date of Zhejiang Province to determine the pure premium of typhoon in the empirical analysis.
Keywords
Extreme Value Theory, POT, Reinsurance, Pure Premium
To cite this article
Hu Yue, Zhang Li, Shen Li-jie, Gao Li-ya, EVT and Its Application to Pricing of Catastrophe (Typhoon) Reinsurance, American Journal of Applied Mathematics. Vol. 4, No. 2, 2016, pp. 105-109. doi: 10.11648/j.ajam.20160402.16
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