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权重分离性约束的Mean-CVaR投资组合模型
引用本文:刘遵雄,盛亚雄. 权重分离性约束的Mean-CVaR投资组合模型[J]. 井冈山大学学报(自然科学版), 2017, 0(3): 19-24,29
作者姓名:刘遵雄  盛亚雄
作者单位:华东交通大学信息工程学院, 江西, 南昌 330013,华东交通大学信息工程学院, 江西, 南昌 330013
基金项目:国家自然科学基金项目(71361009)
摘    要:不同于均值-方差(Mean-Variance)模型,均值-条件风险价值(Mean-Conditional Value at Risk,Mean-CVaR)模型不是以投资组合收益的方差作为风险测度,而是使用了能表征投资收益下侧尾部风险的条件风险价值。同样,Mean-CVaR模型存在优化解微权值数目过多的问题,造成操作性下降。针对这些问题,提出了在Mean-CVaR模型引入权值分离性约束,以保证投资权值不低于某一设定的阈值,结合上证50指数股票进行实例分析。

关 键 词:Conditional Value at Risk  投资组合  Mean-CVaR
收稿时间:2016-07-01
修稿时间:2016-10-16

MEAN-CVAR PORTFOLIO MODEL WITH WEIGHT SEPARATION CONSTRAINTS
LIU Zun-xiong and SHENG Ya-xiong. MEAN-CVAR PORTFOLIO MODEL WITH WEIGHT SEPARATION CONSTRAINTS[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2017, 0(3): 19-24,29
Authors:LIU Zun-xiong and SHENG Ya-xiong
Affiliation:School of Information Engineering, East China Jiaotong University, Nanchang, Jiangxi 330013, China and School of Information Engineering, East China Jiaotong University, Nanchang, Jiangxi 330013, China
Abstract:Different from the Mean-Variance, the Mean-CVaR (Mean-Conditional value at risk) model didn''t take the variance of the portfolio returns as a measure of risk. However, it uses the conditional value at risk that express the underside of the tail risk of the investment income. Similarly, the optimal solution of Mean-CVaR problem has a lot of micro weight, which results in the decline of operating. The constraint of weight separation is proposed in this paper into the mean-CVaR model, which can ensures that the value of investment weight is not less than a set threshold. Combined with the SSE 50 index stock, we carry on the example analysis.
Keywords:Conditional Value at Risk  portfolio  Mean-CVaR
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