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Document Details :

Title: Some Optimal Dividends Problems
Author(s): DICKSON, D.C.M. , WATERS, H.R.
Journal: ASTIN Bulletin
Volume: 34    Issue: 1   Date: May 2004   
Pages: 49-74
DOI: 10.2143/AST.34.1.504954

Abstract :
We consider a situation originally discussed by De Finetti (1957) in which a surplus process is modified by the introduction of a constant dividend barrier. We extend some known results relating to the distribution of the present value of dividend payments until ruin in the classical risk model and show how a discrete time risk model can be used to provide approximations when analytic results are unavailable. We extend the analysis by allowing the process to continue after ruin.