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Portfolio Optimization with Nonparametric Value at Risk: A Block Coordinate Descent Method
Cui, Xueting1; Sun, Xiaoling2; Zhu, Shushang3; Jiang, Rujun4; Li, Duan5
刊名INFORMS JOURNAL ON COMPUTING
2018-06
卷号30期号:3页码:454-471
关键词portfolio selection nonparametric VaR kernel BCD method
ISSN号1091-9856
DOI10.1287/ijoc.2017.0793
英文摘要In this paper, we investigate a portfolio optimization methodology using non-parametric value at risk (VaR). In particular, we adopt kernel VaR and quadratic VaR as risk measures. As the resulting models are nonconvex and nonsmooth optimization problems, albeit with some special structures, we propose some specially devised block coordinate descent (BCD) methods for finding approximate or local optimal solutions. Computational results show that the BCD methods are efficient for finding local solutions with good quality and they compare favorably with the branch-and-bound method-based global optimal solution procedures. From the simulation test and empirical analysis that we carry out, we are able to conclude that the mean-VaR models using kernel VaR and quadratic VaR are more robust compared to those using historical VaR or parametric VaR under the normal distribution assumption, especially when the information of the return distribution is limited.
WOS研究方向Computer Science ; Operations Research & Management Science
语种英语
出版者INFORMS
WOS记录号WOS:000449096000004
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/597]  
专题上海财经大学
通讯作者Cui, Xueting
作者单位1.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China;
2.Fudan Univ, Sch Management, Dept Management Sci, Shanghai 200433, Peoples R China;
3.Sun Yat Sen Univ, Sun Yat Sen Business Sch, Dept Finance & Investment, Guangzhou 510275, Guangdong, Peoples R China;
4.Fudan Univ, Sch Data Sci, Shanghai 200433, Peoples R China;
5.City Univ Hong Kong, Coll Business, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714
Cui, Xueting,Sun, Xiaoling,Zhu, Shushang,et al. Portfolio Optimization with Nonparametric Value at Risk: A Block Coordinate Descent Method[J]. INFORMS JOURNAL ON COMPUTING,2018,30(3):454-471.
APA Cui, Xueting,Sun, Xiaoling,Zhu, Shushang,Jiang, Rujun,&Li, Duan.(2018).Portfolio Optimization with Nonparametric Value at Risk: A Block Coordinate Descent Method.INFORMS JOURNAL ON COMPUTING,30(3),454-471.
MLA Cui, Xueting,et al."Portfolio Optimization with Nonparametric Value at Risk: A Block Coordinate Descent Method".INFORMS JOURNAL ON COMPUTING 30.3(2018):454-471.
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