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arXiv · 1304.7878

On the Dividend Strategies with Non-Exponential Discounting

Qian Zhao·Jiaqin Wei·Rongming Wang
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Abstract

In this paper, we study the dividend strategies for a shareholder with non-constant discount rate in a diffusion risk model. We assume that the dividends can only be paid at a bounded rate and restrict ourselves to the Markov strategies. This is a time inconsistent control problem. The extended HJB equation is given and the verification theorem is proved for a general discount function. Considering the pseudo-exponential discount functions (Type I and Type II), we get the equilibrium dividend strategies and the equilibrium value functions by solving the extended HJB equations.

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Qian Zhao, Jiaqin Wei, Rongming Wang. 2013-04-30. On the Dividend Strategies with Non-Exponential Discounting. https://arxiv.org/abs/1304.7878

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