Model-based vs. agnostic methods for the prediction of time-varying covariance matrices

IF 4.4 3区 管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Annals of Operations Research Pub Date : 2024-09-13 DOI:10.1007/s10479-024-06238-4
Jean-David Fermanian, Benjamin Poignard, Panos Xidonas
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Abstract

This article is written in memory of Harry Markowitz, the founder of modern portfolio theory. We report a few human perspectives of his character, we review a large number of his contributions, published both in operations research and finance oriented journals, and we focus on one of the most critical, and still open, portfolio theory issues, the forecast of covariance matrices. Our contribution in this paper is placed exactly towards this direction. More specifically, we compare the performances of several approaches to predict the variance-covariance matrices of vectors of asset returns, through simulated and real data experiments: some dynamic models such as Dynamic Conditional Correlation (DCC) and C-vine GARCH on one side, and several agnostic methods (Average Oracle, usual “Sample” matrix) on the other side. The most robust methods seem to be DCC and the Average Oracle approaches.

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基于模型的时变协方差矩阵预测方法与不可知方法的比较
本文是为了纪念现代投资组合理论的创始人哈里-马科维茨(Harry Markowitz)而写。我们将从一些人文角度报道他的性格,回顾他在运筹学和金融学期刊上发表的大量论文,并重点讨论投资组合理论中最关键、但仍未解决的问题之一--协方差矩阵的预测。我们在本文中的贡献正是朝着这个方向。更具体地说,我们通过模拟和真实数据实验,比较了几种预测资产收益向量方差-协方差矩阵的方法的性能:一方面是一些动态模型,如动态条件相关性(DCC)和 C-vine GARCH,另一方面是几种不可知论方法(平均 Oracle、通常的 "样本 "矩阵)。最稳健的方法似乎是 DCC 和平均 Oracle 方法。
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来源期刊
Annals of Operations Research
Annals of Operations Research 管理科学-运筹学与管理科学
CiteScore
7.90
自引率
16.70%
发文量
596
审稿时长
8.4 months
期刊介绍: The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications. In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.
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