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(英文)

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.