工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2015年
4期
517-523
,共7页
Black-Litterman模型%多指标排序%TOPSIS方法%随机最优化
Black-Litterman模型%多指標排序%TOPSIS方法%隨機最優化
Black-Litterman모형%다지표배서%TOPSIS방법%수궤최우화
Black-Litterman model%multiple indexes ranking%TOPSIS%stochastic optimiza-tion
针对Black-Litterman模型中投资者观点难以量化的问题,本文提出一种基于TOPSIS方法的多指标排序信息下的Black-Litterman模型。首先通过TOPSIS方法对具有多个指标属性的资产进行排序,从而获得量化的观点。然后采用最新的随机最优化思想求解最优化问题,确定资产的组合权重。最后对构建的模型进行实证研究,选取上海证券交易所交易的十只个股进行资产配置。实证结果显示:与传统的投资组合方法相比,新方法可以有效的将价格以外的信息结合进来,从而提高了模型的稳健性和运用范围。
針對Black-Litterman模型中投資者觀點難以量化的問題,本文提齣一種基于TOPSIS方法的多指標排序信息下的Black-Litterman模型。首先通過TOPSIS方法對具有多箇指標屬性的資產進行排序,從而穫得量化的觀點。然後採用最新的隨機最優化思想求解最優化問題,確定資產的組閤權重。最後對構建的模型進行實證研究,選取上海證券交易所交易的十隻箇股進行資產配置。實證結果顯示:與傳統的投資組閤方法相比,新方法可以有效的將價格以外的信息結閤進來,從而提高瞭模型的穩健性和運用範圍。
침대Black-Litterman모형중투자자관점난이양화적문제,본문제출일충기우TOPSIS방법적다지표배서신식하적Black-Litterman모형。수선통과TOPSIS방법대구유다개지표속성적자산진행배서,종이획득양화적관점。연후채용최신적수궤최우화사상구해최우화문제,학정자산적조합권중。최후대구건적모형진행실증연구,선취상해증권교역소교역적십지개고진행자산배치。실증결과현시:여전통적투자조합방법상비,신방법가이유효적장개격이외적신식결합진래,종이제고료모형적은건성화운용범위。
In order to solve the problem that the viewpoints of investors are di?cult to be quantified in Black-Litterman model, we propose a new model incorporated in multi-indicators sequencing based on the TOPSIS method. Firstly, quantitative viewpoint matrix is determined by using the multi-indicators sequence of assets, which is designed based on TOPSIS. Secondly, we apply the means of latest stochastic optimization to obtain the weights of portfolio. Finally, empirical research is studied by selecting several stocks in Shanghai Stock Exchange Market used for asset allocation. Empirical results reveal that as compared with other traditional port-folio methods, our new means can effectively include additional information except price, which leads to improvement of the robustness and application of the proposed model.