# ON OPTIMAL DIVIDENDS IN THE DUAL MODEL

@article{Bayraktar2013ONOD, title={ON OPTIMAL DIVIDENDS IN THE DUAL MODEL}, author={Erhan Bayraktar and Andreas E. Kyprianou and Kazutoshi Yamazaki}, journal={ASTIN Bulletin}, year={2013}, volume={43}, pages={359 - 372} }

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…

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