Lundberg's risk process with tax

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Serval ID
serval:BIB_6F74C53BD0BA
Type
Article: article from journal or magazin.
Collection
Publications
Title
Lundberg's risk process with tax
Journal
Blätter der DGVFM
Author(s)
Albrecher H., Hipp C.
Publication state
Published
Issued date
2007
Peer-reviewed
Oui
Volume
28
Number
1
Pages
13-28
Language
english
Abstract
In this paper we extend the classical Cramér–Lundberg risk model by including tax payments. The considered tax rule is to pay a certain proportion of the premium income, whenever the portfolio is in a profitable situation. It is shown that the resulting survival probability is a power of the survival probability without tax. Furthermore, an explicit expression for the expected discounted total sum of tax payments until ruin according to this taxation rule is derived and the optimal starting level for taxation is determined. Finally, numerical illustrations of the results are given for the case of exponential claim amounts.
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09/02/2009 19:05
Last modification date
20/08/2019 14:28
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