| 摘要: |
| 针对企业破产前的最优分红问题，为了实现分红期望现值的最优分配（即最优分红策略），分析了在带扰动的对偶模型下，考虑服从Erlang(n)过程的累积分红，且当分红决策时间为Erlang(2)分布时，在收入为固定收入时周期障碍策略的最优性；为了更好地说明其他因素对最优策略的影响，更准确地实现最优分红策略，运用数值模拟方法画出最优策略与模型中其他经济因素之间的图，并描述了它们之间的变化关系，同时作出相应的经济学解释 |
| 关键词: 对偶模型 Erlangisation 最优分红 随机过程 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Optimal Dividends under Erlang(2) Inter-dividend Decision Times in Dual Model with Disturbance |
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FU Li-qun, WANG Chuan-yu, WANG Zhao
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| Abstract: |
| Aiming at the optimal dividend distribution problem before bankruptcy, in order to realize the optimal distribution of the expected present value of dividend (i.e. the optimal dividend distribution strategy)，in this paper, we consider the cumulative dividend distribution following the Erlang(n) process under the dual model with perturbation, and the optimality of periodic barrier strategy with fixed income when the decision time of dividend distribution is Erlang (2). In order to better explain the influence of other factors on the optimal dividend policy and help us to achieve the optimal dividend policy more accurately, we use the method of numerical simulation to draw the graph between the optimal strategy and other economic factors in the model, and the relationship between them is described. Finally, the corresponding economic explanations are given. |
| Key words: dual model Erlangisation optimal dividend distribution stochastic process |
