运筹与管理 ›› 2018, Vol. 27 ›› Issue (1): 185-199.DOI: 10.12005/orms.2018.0027

• 综述 • 上一篇    

金融风险度量的建模理论与方法的一些进展及其应用

苏辛1, 谢尚宇2, 周勇3,4   

  1. 1.上海证券交易所博士后工作站,上海 200433;
    2.对外经济贸易大学 金融学院应用金融研究中心,北京 100029;
    3.中国科学院数学与系统科学研究院,北京 100190;
    4.上海财经大学 统计与管理学院,上海 200433
  • 收稿日期:2014-05-28 出版日期:2018-01-25
  • 作者简介:苏辛,女,博士。
  • 基金资助:
    中国博士后基金第八批特别资助(2015T80444)和面上一等资助(2014M550243);国家自然科学基金委重点项目(71331006);自然科学基金委项目(71271128);国家自然科学基金委创新研究群体科学基金(11021161);国家数学与交叉科学中心和上海市重点学科项目资助

Some Statistical Models and Inferences in Measurement of Financial Risk and Their Applications

SU Xin1, XIE Shang-yu2, ZHOU Yong3,4   

  1. 1.Postdoctoral Station, Shanghai Stock Exchange,Shanghai 200433, China;
    2.RCAF and School of Banking and Finance, University of International Business and Economics,Beijing 100029, China;
    3.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
    4.School of Statistics and Management, Shanghai University of Finance and Economics,Shanghai 200433, China
  • Received:2014-05-28 Online:2018-01-25

摘要: 本文综述了金融风险度量的建模的理论和方法最近的发展。介绍了常用的矩度量和现代风险度量技术,包括在险价值VaR、预期不足ES和期望分位数Expectile等现代风险度量技术和方法,以及复杂风险因素下的非/半参数风险度量方法。违约概率和违约相关性是信用风险度量中的两个基本概念,本文还介绍了信用违约风险中违约概率和违约相关性的常用度量方法。最后,通过一些应用案例介绍如何在金融风险度量中应用现代风险度量技术度量和识别风险。

关键词: 风险度量, 风险率函数, 核光滑估计, 风险价值(VaR), 预期不足(ES), 期望分位数(Expectile)

Abstract: This paper reviews the development of management methods and related theories in financial risk management. We present the classical moment measurement as well as modern risk measurements, including value at risk(VaR), expected shortfall(ES)and expectile, and some nonparametric and semi-parametric risk measurements with risk factors also introduced. We also review the measurements of default probability and default correlation which are two important quantities in credit risk management. Finally, some applications explain how to use the modern risk measurements to manage risk and identify risk contributions.

Key words: risk management, hazard rate function, kernel smooth, value at risk(VaR), expectation shortfall(ES), expectile

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