带注资和交易费用的扩散模型的最优分红

摘要

Issues about optimal dividends strategies of the model are discussed based on diffusion model with capital injection and transaction cost and by realizing the difference of maximization of value of expec-tation which equals to discounted dividends of shareholders minus punishment discounting capital injection as a target.The corresponding solutions and optimal dividend strategies are deduced through related HJB e-quation built by stochastic control theory.%在带注资和交易费用的扩散模型基础上,以股东的折现分红减去惩罚折现注资的差的期望值最大化为目标,讨论了模型的最优分红策略问题.由随机控制理论建立相应的HJB方程,得到了相应的解及最优分红策略.