Parameter uncertainty in portfolio selection: Shrinking the inverse covariance matrix

B-Tier
Journal: Journal of Banking & Finance
Year: 2012
Volume: 36
Issue: 9
Pages: 2522-2531

Authors (3)

Kourtis, Apostolos (not in RePEc) Dotsis, George (not in RePEc) Markellos, Raphael N. (University of East Anglia)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The estimation of the inverse covariance matrix plays a crucial role in optimal portfolio choice. We propose a new estimation framework that focuses on enhancing portfolio performance. The framework applies the statistical methodology of shrinkage directly to the inverse covariance matrix using two non-parametric methods. The first minimises the out-of-sample portfolio variance while the second aims to increase out-of-sample risk-adjusted returns. We apply the resulting estimators to compute the minimum variance portfolio weights and obtain a set of new portfolio strategies. These strategies have an intuitive form which allows us to extend our framework to account for short-sale constraints, transaction costs and singular covariance matrices. A comparative empirical analysis against several strategies from the literature shows that the new strategies often offer higher risk-adjusted returns and lower levels of risk.

Technical Details

RePEc Handle
repec:eee:jbfina:v:36:y:2012:i:9:p:2522-2531
Journal Field
Finance
Author Count
3
Added to Database
2026-01-25