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含有背景风险的双目标投资组合模型研究 被引量:12

Bi Objective Portfolio Selection Model and Algorithm with Background Risk
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摘要 投资者进行投资实践时无不面临着背景风险。绝大多数以均值方差为框架的投资组合并没有考虑背景风险,其效用在实际应用中容易受到背景风险的影响。本文在含有交易费用的双目标函数模型中引入背景风险,从是否含有背景风险和背景风险偏好度大小两方面对投资组合问题展开研究,并使用智能算法得到模型的最优解,对模型进行实证分析。实证结果表明:1)当背景风险收益为0时,含有背景风险的投资组合比不含有背景风险的投资组合更能反映真实的投资环境。2)当背景风险收益不为0时,含有背景风险的投资组合比不含有背景风险的投资组合得到更高的收益。因此,考虑背景风险后投资组合的构建优于不考虑背景风险投资组合的构建。 In practice, the investors always face the background risk. Most of the M-V framework in portfolio selection problems does not take it into account, so the utility of portfolio is influenced by the background risk. This article proposes a bi-objective portfolio selection model with background risk and transaction costs to study how background risk affects the utility and how background risk preference affects it. Then we introduce an improved genetic algorithm to solve this model. Finally, we use the collect data to test the performance of the model to the portfolio selection problem. Based on the empirical study, we make conclusions that when the expected return of background risk is zero, the model with background risk can better reflect the investment risk of the real economic environment ; when the expected return of background risk is not zero, the model with back- ground risk can yield more return. Thus, the model with background risk is superior to the model without it.
出处 《运筹与管理》 CSSCI CSCD 北大核心 2017年第4期118-123,共6页 Operations Research and Management Science
基金 国家自然科学基金(71171086) 国家社科基金重大项目(11&ZD156) 中央高校基本业务费滚动项目资助(2015GD05) 广州市金融服务创新与风险管理基金
关键词 投资组合 背景风险 交易费用 portfolio selection background risk transaction cost
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