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期望保费准则下的最优再保险策略

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再保险作为"保险的保险",是一种有效的风险管理策略.在期望保费准则下,对成数再保险、停止损失再保险及两者的混合再保险的最优化问题进行研究.利用鞅方法得到了复合泊松风险模型中的有限时间破产概率上界,并证明了在最小化有限时间破产概率上界的指标下,停止损失再保险要优于两者的混合再保险.
Optimal Reinsurance Strategy under the Criterion of Expected Premium
As"insurance of insurance",reinsurance serves as an effective risk management strategy.In this paper,under the criterion of expected premium,the optimal strategies for quota share reinsurance,stop-loss reinsurance,and a combination of the two are investigated.By utilizing the martingale method,the upper bound of the finite-time ruin probability in the Compound-Poisson risk model is derived.Our findings indicate that in terms of minimizing the upper bound of the finite-time ruin probability,stop-loss reinsurance outperforms the combination of the two reinsurances.

reinsurancemartingaleCompound-Poisson risk modelruin probability

王真、刘会彩

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许昌电气职业学院 公共教学部,河南 许昌 461000

再保险 复合泊松风险模型 破产概率

2024

许昌学院学报
许昌学院

许昌学院学报

影响因子:0.196
ISSN:1671-9824
年,卷(期):2024.43(5)