A Nodewise Regression Approach to Estimating Large Portfolios

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2021
Volume: 39
Issue: 2
Pages: 520-531

Authors (4)

Score contribution per author:

1.005 = (α=2.01 / 4 authors) × 2.0x A-tier

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

Abstract

This article investigates the large sample properties of the variance, weights, and risk of high-dimensional portfolios where the inverse of the covariance matrix of excess asset returns is estimated using a technique called nodewise regression. Nodewise regression provides a direct estimator for the inverse covariance matrix using the least absolute shrinkage and selection operator to estimate the entries of a sparse precision matrix. We show that the variance, weights, and risk of the global minimum variance portfolios and the Markowitz mean-variance portfolios are consistently estimated with more assets than observations. We show, empirically, that the nodewise regression-based approach performs well in comparison to factor models and shrinkage methods.Supplementary materials for this article are available online.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:39:y:2021:i:2:p:520-531
Journal Field
Econometrics
Author Count
4
Added to Database
2026-01-25