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

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  • Ying Shen
  • Chuancun Yin
  • Kam Chuen Yuen

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.

Suggested Citation

  • Ying Shen & Chuancun Yin & Kam Chuen Yuen, 2011. "Alternative approach to the optimality of the threshold strategy for spectrally negative Levy processes," Papers 1101.0446, arXiv.org, revised Feb 2014.
  • Handle: RePEc:arx:papers:1101.0446
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    References listed on IDEAS

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