钟玮, 杨洋, 刘朝林. 体制转换跳扩散模型下基于复合人寿保险产品的定价问题J. 应用概率统计, 2026, 42(5): 761-782. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024006
引用本文: 钟玮, 杨洋, 刘朝林. 体制转换跳扩散模型下基于复合人寿保险产品的定价问题J. 应用概率统计, 2026, 42(5): 761-782. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024006
ZHONG Wei, YANG Yang, LIU Chaolin. Valuation of Complex Life Insurance Products under Regime-Switching Jump Diffusion ModelsJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(5): 761-782. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024006
Citation: ZHONG Wei, YANG Yang, LIU Chaolin. Valuation of Complex Life Insurance Products under Regime-Switching Jump Diffusion ModelsJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(5): 761-782. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024006

体制转换跳扩散模型下基于复合人寿保险产品的定价问题

Valuation of Complex Life Insurance Products under Regime-Switching Jump Diffusion Models

  • 摘要: 本文构建了具有保证收益的复合人寿保险产品的估值框架,利用混合金融市场模型,以体制转换跳跃扩散过程作为风险驱动因素.该模型考虑了标的资产和退保风险之间的相互关系,提供了解析的定价公式.在计算过程中使用了连续时间马尔可夫链和傅里叶余弦级数展开方法.此外,本文还展示了一些有效的数值分析.

     

    Abstract: This paper introduces a valuation framework for complex life insurance products with guaranteed benefits, utilizing a hybrid financial market model with regime-switching jump diffusion processes as risk drivers. The model accounts for the interplay between financial and surrender risks, and provides explicit analytical formulas. These formulas are computed using both continuous-time Markov chains (CTMC) and the Fourier cosine series (COS) expansion method. The paper also outlines efficient numerical procedures for practical implementation.

     

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