Renaud, Jean-François
(2009).
« The distribution of tax payments in a Lévy insurance risk model with a surplus-dependent taxation structure ».
Insurance: Mathematics and Economics, 45(2), pp. 242-246.
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Résumé
We study the distribution of tax payments in the model of Kyprianou and Zhou [Kyprianou, A.E., Zhou, X., 2009. General tax structures and the Lévy insurance risk model. J. Appl. Probab. (in press)], that is a Lévy insurance risk model with a surplus-dependent tax rate. More precisely, after a short discussion on the so-called tax identity, we derive a recursive formula for arbitrary moments of the discounted tax payments until ruin and we identify the distribution of the tax payments when there is no force of interest.