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General tax structures and the Lévy insurance risk model


Reference:

Kyprianou, A. E. and Zhou, X. W., 2009. General tax structures and the Lévy insurance risk model. Journal of Applied Probability, 46 (4), pp. 1146-1156.

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    Official URL:

    http://dx.doi.org/10.1239/jap/1261670694

    Abstract

    In the spirit of Albrecher and Hipp (2007), and Albrecher, Renaud, and Zhou (2008) we consider a Levy insurance risk model with tax payments of a more general structure than in the aforementioned papers, which was also considered in Albrecher, Borst, Boxma, and Resing (2009). In terms of scale functions, we establish three fundamental identities of interest which have stimulated a large volume of actuarial research in recent years. That is to say, the two-sided exit problem, the net present value of tax paid until ruin, as well as a generalized version of the Gerber-Shiu function. The method we appeal to differs from Albrecher and Hipp (2007), and Albrecher, Renaud, and Zhou (2008) in that we appeal predominantly to excursion theory.

    Details

    Item Type Articles
    CreatorsKyprianou, A. E.and Zhou, X. W.
    DOI10.1239/jap/1261670694
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementKyprianou-preprint.pdf: This is the author's pre-print version with no editing. The final published version is available from the Journal of Applied Probability. The final version should always be cited: Kyprianou, A. E., Zhou, X. W., 2009. General tax structures and the Lévy insurance risk model. Journal of Applied Probability, 46 (4), pp. 1146-1156. Available from: http://dx.doi.org/10.1239/jap/1261670694
    RefereedNo
    StatusPublished
    ID Code17918

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