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Selected Problems Involving The Probability Of Ruin For An Insurance Company, Andrew J. Schafer

Presidential Scholars Theses (1990 – 2006)

In the actuarial science literature, an insurance company is said to be ruined if, at some time t > 0, the aggregate claims up to time t exceed the sum of the initial surplus and the total premium collected up to time t. The calculation and/or estimation of the probability of ruin is of fundamental importance. In this paper we use computer simulation to estimate the probabilities of ruin over a finite horizon of time when the aggregate claims process is Compound Poisson and the distribution of the claim sizes is: (i) Weibull, and (ii) exponential with a random parameter. The …