In an insurance company the number of claims are modelled as a Poisson process with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus is denoted by u, with 0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.4: Mathematics Of Finance
Problem 2E
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In an insurance company the number of claims are modelled as a Poisson process
with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus
is denoted by u, with 0<u< a. If the premium income per unit time is 1.73Aa, find the
probability that ruin happens at the first claim.
Transcribed Image Text:In an insurance company the number of claims are modelled as a Poisson process with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus is denoted by u, with 0<u< a. If the premium income per unit time is 1.73Aa, find the probability that ruin happens at the first claim.
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