✦ LIBER ✦

Optimal dividends in the Brownian motion risk model with interest

✍ Scribed by Ying Fang; Rong Wu

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 429 KB
Volume: 229
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.10.021

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✦ Synopsis

In this paper, we consider a Brownian motion risk model, and in addition, the surplus earns investment income at a constant force of interest. The objective is to find a dividend policy so as to maximize the expected discounted value of dividend payments. It is well known that optimality is achieved by using a barrier strategy for unrestricted dividend rate. However, ultimate ruin of the company is certain if a barrier strategy is applied. In many circumstances this is not desirable. This consideration leads us to impose a restriction on the dividend stream. We assume that dividends are paid to the shareholders according to admissible strategies whose dividend rate is bounded by a constant. Under this additional constraint, we show that the optimal dividend strategy is formed by a threshold strategy.

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