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On the optimal dividend problem for a spectrally positive lévy process

Recurso electrónico / electronic resource
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1001 ‎$0‎MAPA20130010441‎$a‎Yin, Chuancun
24510‎$a‎On the optimal dividend problem for a spectrally positive lévy process‎$c‎Chuancun Yin, Yuzhen Wen, Yongxia Zhao
520  ‎$a‎In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Lévy process before dividends are deducted. This model includes the dual model of the classical risk model and the dual model with diffusion as special cases. We assume that dividends are paid to the shareholders according to an admissible strategy whose dividend rate is bounded by a constant. The objective is to find a dividend policy so as to maximize the expected discounted value of dividends which are paid to the shareholders until the company is ruined. We show that the optimal dividend strategy is formed by a threshold strategy.
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/09/2014 Volumen 44 Número 3 - septiembre 2014