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On optimal dividends in the dual model

Recurso electrónico / electronic resource
Registro MARC
Tag12Valor
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001  MAP20130038506
003  MAP
005  20131120175250.0
008  131119e20130902esp|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20090000537‎$a‎Bayraktar, Erhan
24510‎$a‎On optimal dividends in the dual model‎$c‎Erhan Bayraktar, Andreas E. Kyprianou, Kazutoshi Yamazaki
520  ‎$a‎We revisit the dividend payment problem in the dual model of Avanzi et al. ([24]). Using the fluctuation theory of spectrally positive Lévy processes, we give a short exposition in which we show the optimality of barrier strategies for all such Lévy processes. Moreover, we characterize the optimal barrier using the functional inverse of a scale function. We also consider the capital injection problem of [4] and show that its value function has a very similar form to the one in which the horizon is the time of ruin.
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎02/09/2013 Volumen 43 Número 3 - septiembre 2013