On optimal dividends in the dual model

Erhan Bayraktar, Andreas E. Kyprianou, Kazutoshi Yamazaki

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)
149 Downloads (Pure)

Abstract

We revisit the dividend payment problem in the dual model of Avanzi et al. ([2–4]). 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.
Original languageEnglish
Pages (from-to)359-372
Number of pages14
JournalASTIN Bulletin
Volume43
Issue number3
Early online date10 Jul 2013
DOIs
Publication statusPublished - Sep 2013

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