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带平方根因子过程的保险与再保险公司联合利益的稳健最优投资策略
作者姓名:邢小玉  李晓芳  于亚丽  
作者单位:北工业大学理学院,天津300401
摘    要:A general insurance company which comprises both insurance and reinsurance business lines is considered. The senior management, who is uncertain about the model parameters and ambiguity-averse, is seeking a robust optimal investment-reinsurance strategy. The risky asset price is assumed to satisfy a square root factor process. From the interests of both sides, the maximized goal is the expected utility ofthe weighted surplus sum of the insurer and reinsurer. On the one hand, the closed-form expressions ofthe robust optimal strategy and the corresponding value function are derived. On the other hand, the verificationtheorem is proved completely. Finally, by presenting some numerical examples, model parameters sensitivity to the optimal strategy is shown and explained.

关 键 词:鲁棒控制  模糊厌恶  平方根因子过程  HJB方程  指数效应
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