Alternative approach to the optimality of the threshold strategy for spectrally negative Levy processes

Abstract

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies 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. Kyprianou, Loeffen and Perez [28] have shown that a refraction strategy (also called threshold strategy) forms an optimal strategy under the condition that the Levy measure has a completely monotone density. In this paper, we propose an alternative approach to this optimal problem.

16 pages

References in corpus (6)

• On the optimal dividend problem for a spectrally negative Lévy process
• On optimality of the barrier strategy in de Finetti's dividend problem for spectrally negative Lévy processes
• Ruin Probabilities and Overshoots for General Levy Insurance Risk Processes
• Overshoots and undershoots of Lévy processes
• Ruin probabilities and decompositions for general perturbed risk processes
• Optimal investment policy and dividend payment strategy in an insurance company