Dominating estimators for minimum-variance portfolios

A-Tier
Journal: Journal of Econometrics
Year: 2010
Volume: 159
Issue: 2
Pages: 289-302

Authors (2)

Frahm, Gabriel (not in RePEc) Memmel, Christoph (Deutsche Bundesbank)

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

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

Abstract

In this paper, we derive two shrinkage estimators for minimum-variance portfolios that dominate the traditional estimator with respect to the out-of-sample variance of the portfolio return. The presented results hold for any number of assets d>=4 and number of observations n>=d+2. The small-sample properties of the shrinkage estimators as well as their large-sample properties for fixed d but n-->[infinity] and n,d-->[infinity] but n/d-->q<=[infinity] are investigated. Furthermore, we present a small-sample test for the question of whether it is better to completely ignore time series information in favor of naive diversification.

Technical Details

RePEc Handle
repec:eee:econom:v:159:y:2010:i:2:p:289-302
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-26