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Estimation error in the average correlation of security returns and shrinkage estimation of covariance and correlation matrices

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Author Info
Kwan, Clarence C.Y.
Abstract

The correlation matrix of security returns is an important input component for mean-variance portfolio analysis. This study uses the average of sample correlations to estimate the correlation matrix and derives an expression of its estimation error in terms of sampling variance. This study then considers the impact of such estimation error on shrinkage estimation, where a weighted average is sought between the sample covariance matrix and an average correlation target, and between the sample correlation matrix and the target. An illustrative example using monthly returns of the current Dow Jones stocks is provided.

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File URL: http://www.sciencedirect.com/science/article/B7CPP-4TDK6VV-2/2/c00c94cd1bc102dd67dc0a02faa0e7b5
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Publisher Info
Article provided by Elsevier in its journal Finance Research Letters.

Volume (Year): 5 (2008)
Issue (Month): 4 (December)
Pages: 236-244
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Handle: RePEc:eee:finlet:v:5:y:2008:i:4:p:236-244

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Web page: http://www.elsevier.com/locate/frl

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Related research
Keywords: Portfolio choice Covariance and correlation matrices Shrinkage estimation;

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This page was last updated on 2009-12-3.


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