Title
Improving portfolios global performance using a cleaned and robust covariance matrix estimate.
Abstract
This paper presents how the use of a cleaned and robust covariance matrix estimate can improve significantly the overall performance of maximum variety and minimum variance portfolios. We assume that the asset returns are modelled through a multi-factor model where the error term is a multivariate and correlated elliptical symmetric noise extending the classical Gaussian assumptions. The factors are supposed to be unobservable and we focus on a recent method of model order selection, based on the random matrix theory to identify the most informative subspace and then to obtain a cleaned (or de-noised) covariance matrix estimate to be used in the maximum variety and minimum variance portfolio allocation processes. We apply our methodology on real market data and show the improvements it brings if compared with other techniques especially for non-homogeneous asset returns.
Year
DOI
Venue
2020
10.1007/s00500-020-04840-9
Soft Computing
Keywords
DocType
Volume
Portfolio selection, Maximum variety portfolio, Minimum variance portfolio, Covariance matrix, Random matrix theory, Thresholding, Factor model, Elliptic distribution
Journal
24
Issue
ISSN
Citations 
12
1432-7643
0
PageRank 
References 
Authors
0.34
0
7