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The tax identity in risk theory -- a simple proof and an extension
Hansjörg Albrecher ,
Sem Borst ,
Onno Boxma and
Jacques Resing
Insurance: Mathematics and Economics , 2009, vol. 44, issue 2, pages 304-306
Abstract:
By linking queueing concepts with risk theory, we give a simple and insightful proof of the tax identity in the Cramér-Lundberg model that was recently derived in Albrecher & Hipp [Albrecher, H., Hipp, C., 2007. Lundberg's risk process with tax. Blätter der DGVFM 28 (1), 13-28], and extend the identity to arbitrary surplus-dependent tax rates.
Keywords: Compound ; Poisson ; model ; Insurance ; risk ; Survival ; probability ; Maximum ; workload ; Tax ; payments (search for similar items in EconPapers)
Date: 2009
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Persistent link: http://EconPapers.repec.org/RePEc:eee:insuma:v:44:y:2009:i:2:p:304-306
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Insurance: Mathematics and Economics is edited by R. Kaas , H. U. Gerber , M. J. Goovaerts and E. S. W. Shiu
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