Directional Variance Adjustment

Bias Reduction in Covariance Matrices Based on Factor Analysis with an Application to Portfolio Optimization

Daniel Bartz, Kerr Hatrick, Christian W. Hesse, Klaus Muller, Steven Lemm

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Robust and reliable covariance estimates play a decisive role in financial and many other applications. An important class of estimators is based on factor models. Here, we show by extensive Monte Carlo simulations that covariance matrices derived from the statistical Factor Analysis model exhibit a systematic error, which is similar to the well-known systematic error of the spectrum of the sample covariance matrix. Moreover, we introduce the Directional Variance Adjustment (DVA) algorithm, which diminishes the systematic error. In a thorough empirical study for the US, European, and Hong Kong stock market we show that our proposed method leads to improved portfolio allocation.

Original languageEnglish
Article numbere67503
JournalPLoS One
Volume8
Issue number7
DOIs
Publication statusPublished - 2013 Jul 3

Fingerprint

Systematic errors
Hong Kong
Factor analysis
Covariance matrix
Statistical Factor Analysis
stock exchange
China
factor analysis
sampling
methodology

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)

Cite this

Directional Variance Adjustment : Bias Reduction in Covariance Matrices Based on Factor Analysis with an Application to Portfolio Optimization. / Bartz, Daniel; Hatrick, Kerr; Hesse, Christian W.; Muller, Klaus; Lemm, Steven.

In: PLoS One, Vol. 8, No. 7, e67503, 03.07.2013.

Research output: Contribution to journalArticle

Bartz, Daniel ; Hatrick, Kerr ; Hesse, Christian W. ; Muller, Klaus ; Lemm, Steven. / Directional Variance Adjustment : Bias Reduction in Covariance Matrices Based on Factor Analysis with an Application to Portfolio Optimization. In: PLoS One. 2013 ; Vol. 8, No. 7.
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