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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Oops! I Shrunk the Sample Covariance Matrix Again: Blockbuster Meets Shrinkage
Organization Unit
Authors
  • Gianluca De Nard
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Journal of Financial Econometrics
Publisher Oxford University Press
Geographical Reach international
ISSN 1479-8409
Volume 20
Number 4
Page Range 569 - 611
Date 2022
Abstract Text Existing shrinkage techniques struggle to model the covariance matrix of asset returns in the presence of multiple-asset classes. Therefore, we introduce a Blockbuster shrinkage estimator that clusters the covariance matrix accordingly. Besides the definition and derivation of a new asymptotically optimal linear shrinkage estimator, we propose an adaptive Blockbuster algorithm that clusters the covariance matrix even if the (number of) asset classes are unknown and change over time. It displays superior all-around performance on historical data against a variety of state-of-the-art linear shrinkage competitors. Additionally, we find that for small- and medium-sized investment universes the proposed estimator outperforms even recent nonlinear shrinkage techniques. Hence, this new estimator can be used to deliver more efficient portfolio selection and detection of anomalies in the cross-section of asset returns. Furthermore, due to the general structure of the proposed Blockbuster shrinkage estimator, the application is not restricted to financial problems.
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Official URL https://academic.oup.com/jfec/article-abstract/20/4/569/5960228
Related URLs
Digital Object Identifier 10.1093/jjfinec/nbaa020
Other Identification Number merlin-id:19516
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