欧辉, 谢振东, 李俊雄, 王秋灵. 基于贝叶斯推断的洪水损失分布与巨灾债券定价研究[J]. 应用概率统计, 2020, 36(6): 605-618. DOI: 10.3969/j.issn.1001-4268.2020.06.004
引用本文: 欧辉, 谢振东, 李俊雄, 王秋灵. 基于贝叶斯推断的洪水损失分布与巨灾债券定价研究[J]. 应用概率统计, 2020, 36(6): 605-618. DOI: 10.3969/j.issn.1001-4268.2020.06.004
OU Hui, XIE Zhendong, LI Junxiong, WANG Qiuling. Research on Flood Loss Distribution and Catastrophe Bond Pricing Based on Bayesian Inference[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(6): 605-618. DOI: 10.3969/j.issn.1001-4268.2020.06.004
Citation: OU Hui, XIE Zhendong, LI Junxiong, WANG Qiuling. Research on Flood Loss Distribution and Catastrophe Bond Pricing Based on Bayesian Inference[J]. Chinese Journal of Applied Probability and Statistics, 2020, 36(6): 605-618. DOI: 10.3969/j.issn.1001-4268.2020.06.004

基于贝叶斯推断的洪水损失分布与巨灾债券定价研究

Research on Flood Loss Distribution and Catastrophe Bond Pricing Based on Bayesian Inference

  • 摘要: 以我国洪水巨灾风险作为研究背景, 针对洪水损失``低频高损''的特点, 使用贝叶斯推断法进行损失分布拟合,通过贝叶斯推断得出我国洪水的损失频数分布和损失额度分布, 在此基础上利用蒙特卡罗模拟法计算得出我国洪水年度损失在不同的触发条件下对应的概率分布,进而运用CAPM对我国洪水巨灾债券进行定价研究, 得出结论:在不同的触发条件下, 随着触发值逐渐增大, 对应的触发概率逐渐减小;对比三种类型的债券可以发现债券的价格随着本金保证比例的降低而降低、随着本金损失比例的升高而降低, 即投资风险与收益成正比,同时为我国发行洪水巨灾债券提供参考.

     

    Abstract: Taking flood catastrophe risk in China as the research background, aiming at the characteristics of flood loss ``low frequency and high loss'', Bayesian inference method is used to fit the loss distribution, and Bayesian inference is used to obtain the loss frequency distribution and loss quota distribution of flood in China. On this basis, Monte Carlo simulation method is used to calculate the probability distribution of annual flood loss in China under different trigger conditions, and then CAPM is used to study the pricing of flood catastrophe bonds in China. It is concluded that under different trigger conditions, as the trigger value increases gradually, the corresponding trigger is triggered. Comparing the three types of bonds, it can be found that the price of bonds decreases with the decrease of principal guarantee ratio and the increase of principal loss ratio, that is, the investment risk is directly proportional to the return, which provides reference for issuing flood catastrophe bonds in China.

     

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