Advances in Applied Probability

Optimal financing and dividend distribution in a general diffusion model with regime switching

Jinxia Zhu and Hailiang Yang

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We study the optimal financing and dividend distribution problem with restricted dividend rates in a diffusion type surplus model, where the drift and volatility coefficients are general functions of the level of surplus and the external environment regime. The environment regime is modeled by a Markov process. Both capital injection and dividend payments incur expenses. The objective is to maximize the expectation of the total discounted dividends minus the total cost of the capital injection. We prove that it is optimal to inject capital only when the surplus tends to fall below 0 and to pay out dividends at the maximal rate when the surplus is at or above the threshold, dependent on the environment regime.

Article information

Adv. in Appl. Probab., Volume 48, Number 2 (2016), 406-422.

First available in Project Euclid: 9 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 49L20: Dynamic programming method
Secondary: 91G80: Financial applications of other theories (stochastic control, calculus of variations, PDE, SPDE, dynamical systems)

Dividend general diffusion optimization optimal financing regime-switching


Zhu, Jinxia; Yang, Hailiang. Optimal financing and dividend distribution in a general diffusion model with regime switching. Adv. in Appl. Probab. 48 (2016), no. 2, 406--422.

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