基于理性疏忽的均值方差投资组合模型研究
Study on the Mean Variance Portfolio Model Based on Rational Negligence
DOI: 10.12677/fin.2024.145173, PDF,    国家自然科学基金支持
作者: 宋思敏, 张 勇*, 冯 洁, 杨吉丽:吉首大学数学与统计学院,湖南 吉首
关键词: 理性疏忽均值方差模型投资组合信息约束Rational Inattention Mean-Variance Model Investment Portfolio Information Constraints
摘要: 经典的均值–方差模型根据经典经济学假设,认为人都是理性的。但实际情况中,人们通常会受限于有限的注意力,最优的投资组合会改变,于是本文在经典均值方差模型中添加信息约束条件,并用中国证券市场部分股票实证模拟了投资者在信息约束条件下可达到的最优投资组合,得到有效前沿。结果发现在增加信息约束条件后,有效前沿范围缩短,人们可以处理的风险变小。研究为理性疏忽的研究提供了思路。
Abstract: The classic mean variance model assumes that people are rational based on classical economic assumptions. However, in reality, people are often limited by limited attention and the optimal investment portfolio will change. Therefore, this article adds information constraints to the classical mean variance model and uses some stocks in the Chinese securities market to empirically simulate the optimal investment portfolio that investors can achieve under information constraints, obtaining an efficient frontier. It was found that with the addition of information constraints, the effective frontier range was shortened, and the risk that people could handle decreased. The study provides ideas for limited attention.
文章引用:宋思敏, 张勇, 冯洁, 杨吉丽. 基于理性疏忽的均值方差投资组合模型研究[J]. 金融, 2024, 14(5): 1693-1703. https://doi.org/10.12677/fin.2024.145173

参考文献

[1] Sims, C.A. (2003) Implications of Rational Inattention. Journal of Monetary Economics, 50, 665-690. [Google Scholar] [CrossRef
[2] Sims, C.A. (2006) Rational Inattention: Beyond the Linear-Quadratic Case. American Economic Review, 96, 158-163. [Google Scholar] [CrossRef
[3] Cheremukhin, A., Popov, A. and Tutino, A. (2011) Experimental Evidence on Rational Inattention. [Google Scholar] [CrossRef
[4] Tutino, A. (2008) The Rigidity of Choice: Lifecycle Savings with Information-Processing Limits. Finance and Economics Discussion Series, 2008, 1-66. [Google Scholar] [CrossRef
[5] Luo, Y. and Young, E.R. (2009) Rational Inattention and Aggregate Fluctuations. The B.E. Journal of Macroeconomics, 9, 1-43. [Google Scholar] [CrossRef
[6] Luo, Y. (2010) Rational Inattention, Long-Run Consumption Risk, and Portfolio Choice. Review of Economic Dynamics, 13, 843-860. [Google Scholar] [CrossRef
[7] Zorn, P. (2020) Investment under Rational Inattention: Evidence from US Sectoral Data. SSRN Electronic Journal, Article No. 8436. [Google Scholar] [CrossRef
[8] 王军, 宋秀娜. 基金经理对货币政策反应的异质性分析——基于理性疏忽视角的有限注意力配置理论[J]. 商业研究, 2021(3): 83-92.
[9] Joo, J. (2021) Rational Inattention as an Empirical Framework: Application to the Welfare Effects of New-Product Introduction.
[10] Jung, J., Kim, J.H., Matějka, F. and Sims, C.A. (2019) Discrete Actions in Information-Constrained Decision Problems. The Review of Economic Studies, 86, 2643-2667. [Google Scholar] [CrossRef
[11] Caplin, A., Dean, M. and Leahy, J. (2022) Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy. Journal of Political Economy, 130, 1676-1715. [Google Scholar] [CrossRef
[12] Mondria, J. (2010) Portfolio Choice, Attention Allocation, and Price Comovement. Journal of Economic Theory, 145, 1837-1864. [Google Scholar] [CrossRef
[13] 江璐瑶, 邓雪. 基于收益权重的均值-熵投资组合模型的研究[J]. 运筹与管理, 2020, 29(11): 181-185.
[14] 周孝华, 胡国生, 苟思. 中国股市IPOs高抑价的噪声分析[J]. 软科学, 2005, 19(5): 30-33.