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期望保费准则下的最优再保险策略

Optimal Reinsurance Strategy under the Criterion of Expected Premium

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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.
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)