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Stochastic analysis of the interaction between investment and insurance risks. With discussion and a reply by the author. (English) Zbl 1080.91530

Summary: A portfolio of different insurance policies, such as temporary, endowment, and whole life, is studied in a stochastic mortality and interest environment. The first two moments of the present value of the benefits of the portfolio are derived. The riskiness of the portfolio as measured by the variance of the present value of the benefits can be divided into an insurance risk and an investment risk in two different ways. One way leads to a more natural interpretation of the two risk components. A simple portfolio is used to illustrate the results.

MSC:

91B30 Risk theory, insurance (MSC2010)
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