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Ruin estimates under interest force. (English) Zbl 0838.62098

Summary: We discuss infinite time ruin probabilities in continuous time in a compound Poisson process with a constant premium rate and a constant interest rate. We discuss equations for the ruin probability as well as approximations and upper and lower bounds. Two special cases are treated in more detail: the case with zero initial reserve, and the case with exponential claim sizes.

MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
45H05 Integral equations with miscellaneous special kernels
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