首页> 外文期刊>International journal of theoretical and applied finance >CATASTROPHE INSURANCE DERIVATIVES PRICING USING A COX PROCESS WITH JUMP DIFFUSION CIR INTENSITY
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CATASTROPHE INSURANCE DERIVATIVES PRICING USING A COX PROCESS WITH JUMP DIFFUSION CIR INTENSITY

机译:灾难保险衍生物定价使用COX过程具有跳跃扩散CIR强度

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摘要

We propose an analytical pricing method for stop-loss reinsurance contracts and catastrophe insurance derivatives using a Cox process with jump diffusion Cox–Ingersoll–Ross (CIR) intensity. The expected payoff of these contracts is expressed by the Laplace transform of the integration of the jump diffusion CIR process and the first moment of the aggregate loss. To confirm that the proposed analytical formula provides stable and accurate insurance derivative prices, we simulate them using a full Monte Carlo method compared to those obtained from its theoretical expectation. It shows that it is much faster way to obtain them than the full Monte Carlo method. We also conduct sensitivity analysis by changing the relevant parameters in the loss intensity providing their figures.
机译:我们提出了一种利用跳跃扩散Cox-Ingersoll-Ross(CIR)强度的COX过程的止损再保险合同和灾难保险衍生物的分析定价方法。 这些合同的预期支付是由Lapplace变换的跳跃扩散CIR过程的集成和总损失的第一矩。 为了确认拟议的分析配方提供稳定和准确的保险衍生价格,我们使用完整的蒙特卡罗方法来模拟与理论期望获得的完整蒙特卡罗方法。 它表明,比全蒙特卡罗方法获得更快的方法。 我们还通过改变提供其数字的损耗强度的相关参数进行敏感性分析。

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