因子结构下的新型多期投资组合选择模型

王艳萍, 陈志平, 陈玉娜

系统科学与数学 ›› 2011, Vol. 31 ›› Issue (7) : 824-836.

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PDF(426 KB)
系统科学与数学 ›› 2011, Vol. 31 ›› Issue (7) : 824-836. DOI: 10.12341/jssms11651
论文

因子结构下的新型多期投资组合选择模型

    王艳萍1, 陈志平2, 陈玉娜2
作者信息 +

NEW MULTI-PERIOD PORTFOLIO SELECTION MODELS UNDER THE FACTOR MODEL

    WANG Yanping1, CHEN Zhiping2, CHEN Yuna2
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文章历史 +

摘要

首次将因子模型与多期均值-方差模型相结合, 建立了单因子结构下的新型多期均值-方差模型,并且利用二次规划方法得到了此模型的解析最优投资策略.
为使这一结论具有普适性, 又将它推广到了多因子模型情形,并且得到了与单因子模型下类似的结论. 最后, 通过数值算例验证了本文的理论结果. 新模型确定最优投资策略的方法, 是一个科学且可操作性强的方法.

Abstract

By combining the single-factor model and the multi-period mean-variance model, we first propose a new multi-period mean-variance model
under the single-factor model, and obtain its explicit optimal investment strategy by using the quadratic programming technique. As a generalization of
these conclusions, we then extend the above model to the multi-factor model situation and derive similar conclusions. Finally, some numerical examples show the effectiveness of the theoretical results.  

关键词

均值-方差 / 因子模型 /  因子载荷 /  多期投资组合

Key words

Mean-variance models / factor model /  factor loading / multiperiod portfolio

引用本文

导出引用
王艳萍 , 陈志平 , 陈玉娜. 因子结构下的新型多期投资组合选择模型. 系统科学与数学, 2011, 31(7): 824-836. https://doi.org/10.12341/jssms11651
WANG Yan-Ping , CHEN Zhi-Ping , CHEN Yu-Na. NEW MULTI-PERIOD PORTFOLIO SELECTION MODELS UNDER THE FACTOR MODEL. Journal of Systems Science and Mathematical Sciences, 2011, 31(7): 824-836 https://doi.org/10.12341/jssms11651
中图分类号: 91G10   
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