Ruin models with investment income
Jostein Paulsen
Source: Probab. Surveys Volume 5
(2008), 416-434.
Abstract
This survey treats the problem of ruin in a risk model when assets earn investment income. In addition to a general presentation of the problem, topics covered are a presentation of the relevant integro-differential equations, exact and numerical solutions, asymptotic results, bounds on the ruin probability and also the possibility of minimizing the ruin probability by investment and possibly reinsurance control. The main emphasis is on continuous time models, but discrete time models are also covered. A fairly extensive list of references is provided, particularly of papers published after 1998. For more references to papers published before that, the reader can consult [47].
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Permanent link to this document: http://projecteuclid.org/euclid.ps/1229524758
Digital Object Identifier: doi:10.1214/08-PS134
Mathematical Reviews number (MathSciNet): MR2476737
Zentralblatt MATH identifier: 1189.91077
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