Dividend maximization under consideration of the time value of ruin
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Version: author
State: Public
Version: author
Serval ID
serval:BIB_7BEB174E91E1
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Dividend maximization under consideration of the time value of ruin
Journal
Insurance: Mathematics and Economics
ISSN
0167-6687
Publication state
Published
Issued date
2007
Peer-reviewed
Oui
Volume
41
Number
1
Pages
163-184
Language
english
Abstract
In the Cramer-Lundberg model and its diffusion approximation, it is a classical problem to find the optimal dividend payment strategy that maximizes the expected value of the discounted dividend payments until ruin. One often raised disadvantage of this approach is the fact that such a strategy does not take the lifetime of the controlled process into account. In this paper we introduce a value function which considers both expected dividends and the time value of ruin. For both the diffusion model and the Cramer-Lundberg model with exponential claim sizes, the problem is solved and in either case the optimal strategy is identified, which for unbounded dividend intensity is a barrier strategy and for bounded dividend intensity is of threshold type.
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Create date
09/02/2009 19:10
Last modification date
20/08/2019 14:37