中国科学技术大学学报 ›› 2021, Vol. 51 ›› Issue (6): 475-484.DOI: 10.52396/JUST-2021-0140

• 研究论文:管理科学与工程 • 上一篇    下一篇

应用CoGVaR方法度量系统风险贡献

张萍1, 王雅实2*, 吴钦宇1   

  1. 1.中国科学技术大学管理学院统计与金融系,合肥安徽 230026;
    2.中国政法大学科学技术教学部,北京 102249
  • 收稿日期:2021-05-27 修回日期:2021-05-31 出版日期:2021-06-30 发布日期:2021-12-06
  • 通讯作者: * E-mail:wangysh0727@163.com

Measuring systemic risk contribution with CoGVaR approach

Zhang Ping1, Wang Yashi2*, Wu Qinyu1   

  1. 1. Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei 230026, China;
    2. Department of Science and Technology, China University of Political Science and Law, Beijing 102249, China
  • Received:2021-05-27 Revised:2021-05-31 Online:2021-06-30 Published:2021-12-06
  • Contact: * E-mail: wangysh0727@163.com

摘要: 基于系统风险度量的角度,提出了一类新的条件风险度量——广义条件风险价值(CoGVaR). 这类新的风险度量是条件分位数的自然广义化,它包括了经典的 CoVaR. 相较于经典的条件风险价值 (CoVaR) 和条件 expectile (CoExpectile),它在实际中有着更好的应用价值,这一优势来源于它考虑了决策者的风险态度,而这一点目前为止并没有被其他工作关注过. 使用加入状态变量的广义分位数回归方法,在道琼斯美国金融指数实例中给出了具体的计算结果,发现这类风险度量为系统风险贡献的度量提供了一种新的角度. 除此之外,这一结果也显示了该风险度量能够通过使用更凸的负效用函数来更好地捕捉尾部风险.

关键词: 广义分位数, 条件风险度量, 系统风险贡献

Abstract: We propose a new conditional risk measure, conditional generalized value-at-risk (CoGVaR), from the perspective of measuring systemic risk. The new class of risk measures is a natural generalization of the conditional quantiles including the classic CoVaR. Compared with the classic conditional value-at-risk (CoVaR) and conditional expectile (CoExpectile), it has more potential application in reality as it takes the risk attitude of the decision maker into consideration, which has not been the focus of much study to date. Using generalized quantile regression approach with state variables added, some calculation results are presented in the Dow Jones U.S. Financials Index case, and it is shown that it provides a new perspective on systemic risk contribution. In addition, the result shows that our risk measure can capture the tail risk by using more convex disutility function.

Key words: generalized quantile, conditional risk measure, systemic risk contribution

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