论文标题

关于有风险投资的破坏概率

On ruin probabilities with risky investments

论文作者

Ellanskaya, Anastasiya, Kabanov, Yuri

论文摘要

当公司将寿险和非生活保险业务公司结合在一起时,我们调查了毁灭概率的渐近概率,并将其储备投资于具有随机波动性的风险资产,并由两国马尔可夫流程驱动。使用隐式更新理论的技术,我们获得了与废墟概率零的收敛速率。

We investigate the asymptotic of ruin probabilities when the company combines the life- and non-life insurance businesses and invests its reserve into a risky asset with stochastic volatility and drift driven by a two-state Markov process. Using the technique of the implicit renewal theory we obtain the rate of convergence to zero of the ruin probabilities.

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