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Optimality of Hybrid Continuous and Periodic Barrier Strategies in the Dual Model

  • José-Luis Pérez
  • Kazutoshi Yamazaki
Article
  • 26 Downloads

Abstract

Avanzi et al. (ASTIN Bull 46(3): 709–746, 2016) recently studied an optimal dividend problem where dividends are paid both periodically and continuously with different transaction costs. In the Brownian model with Poissonian periodic dividend payment opportunities, they showed that the optimal strategy is either of the pure-continuous, pure-periodic, or hybrid-barrier type. In this paper, we generalize the results of their previous study to the dual (spectrally positive Lévy) model. The optimal strategy is again of the hybrid-barrier type and can be concisely expressed using the scale function. These results are confirmed through a sequence of numerical experiments.

Keywords

Dividends Lévy processes Periodic strategies Scale functions Dual model 

Mathematics Subject Classification

60G51 93E20 91B30 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Probability and StatisticsCentro de Investigación en MatemáticasGuanajuatoMexico
  2. 2.Department of Mathematics, Faculty of Engineering ScienceKansai UniversitySuita-shiJapan

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