Valuing Variable Annuities with Surrender Guarantees under Regime-switching Levy Models

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:张志民
:2021-10-22 14:30
:腾讯会议ID:683 464 880(无密码)

报告人:张志民(重庆大学)

时  间:1022日下午14:30

地  点:腾讯会议ID683 464 880(无密码)

内容摘要:

In this paper, we study the valuation of variable annuity contracts with guaranteed minimum maturity benefits (GMMB) under regime-switching Levy models. Particularly, under the assumption that GMMB products are observed periodically, we consider the GMMBs in which the embedded path-dependent guarantees can be surrendered on a discrete set of monitoring times before maturity date. The dynamic programming approach is used to solve the corresponding optimal stopping problem, and some analytical formulae for the conditional expectations are derived using the Fourier cosine expansion method. Numerical illustrations are also provided to show accuracy and efficiency of the proposed method.

人简介:

张志民,重庆大学教授、博士生导师,重庆市学术技术带头人,香港大学和墨尔本大学访问学者。目前担任中国工业与应用数学学会理事,中国现场统计研究会风险管理与精算分会常务理事,重庆市统计学会理事等。主要研究兴趣为金融统计、金融数学模型、风险管理与精算学、非参数统计、机器学习等。已经发表SCISSCI论文50余篇,且多为第一作者或通讯作者,其中在风险管理与精算学权威杂志IME上发表论文5篇,ASTIN Bulletin上发表论文2篇,SAJ上发表论文9篇。作为项目负责人,主持国家自然基金1项青年基金和2项面上项目,1项教育部博士点基金,2项重庆市自然基金和多个横向课题。

 

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