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机构地区:[1]中国科学院数学与系统科学研究院,北京100190 [2]首都经济贸易大学金融学院,北京100070
出 处:《系统工程理论与实践》2017年第8期2024-2032,共9页Systems Engineering-Theory & Practice
基 金:国家自然科学基金(71271201;71631008)~~
摘 要:近年来,如何将投资者观点科学地纳入投资组合决策成为主动投资组合的研究热点之一.Black-Litterman模型因其基于贝叶斯方法将投资者观点和市场均衡收益率结合分析的特点而广受关注和应用.本文将Black-Litterman模型推广到多期框架下分析.文中首先克服了Black-Litterman模型无法纳入极端自信度观点的问题;之后本文通过设立新的.自信度矩阵,给出了Black-Litterman模型的多期框架形式;最后,本文建立了基于CVaR的多期投资组合模型,并将该模型与比均值-方差模型和等权重模型进行对比给出了数值算例.结果表明,基于多期Black-Litterman模型的投资组合有良好效果.In recent years, more and more researchers focused on how to use investor's view to assist portfolio selection. Black-Litterman model has been widely used because of its characteristics of combine investor's views and market equilibrium by Bayesian methods. This paper attempts to expend the Black- Litterman model to multi-period. Firstly, this paper solves the problem that the Black-Litterman model can't deal with views of extreme confidence. Then the paper establishes a new confidence matrix to expend the Black-Litterman model to multi-period framework. Finally, based on multi-period Black- Litterman model, this paper establishes a portfolio model with CVaR and empirically examines the model with mean-variance model and equal-weighted model as benchmark. The empirical results show that the multi-period Black-Litterman model performs better.
关 键 词:投资者观点 Black—Litterman模型 多期投资组合
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