Arbeitspapier

Dominating estimators for the global minimum variance portfolio

In this paper, we derive two shrinkage estimators for the global minimum variance portfolio 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 observations n ≥ d + 2 and number of assets d ≥ 4 . The small-sample properties of the shrinkage estimators as well as their large-sample properties for fixed d but n → ∞ as well as n/d → ∞ but n/d → q ≤ ∞ 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.

Language
Englisch

Bibliographic citation
Series: Discussion Papers in Statistics and Econometrics ; No. 2/08

Classification
Wirtschaft
Estimation: General
Portfolio Choice; Investment Decisions
Subject
Covariance matrix estimation
Global minimum variance portfolio
James-Stein estimation
Naive diversification
Shrinkage estimator

Event
Geistige Schöpfung
(who)
Frahm, Gabriel
Memmel, Christoph
Event
Veröffentlichung
(who)
University of Cologne, Seminar of Economic and Social Statistics
(where)
Cologne
(when)
2008

Handle
Last update
10.03.2025, 11:41 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Frahm, Gabriel
  • Memmel, Christoph
  • University of Cologne, Seminar of Economic and Social Statistics

Time of origin

  • 2008

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