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KDI 경제교육·정보센터

ENG
  • 경제배움
  • Economic

    Information

    and Education

    Center

최신자료
A Test of the Efficiency of a Given Portfolio in High Dimensions
NBER
2025.03.18
We generalize the seminal Gibbons-Ross-Shanken test to the empirically relevant case where the number of test assets far exceeds the number of observations. In such a setting, one needs to use a regularized estimator of the covariance matrix of test assets, which leads to biases in the original test statistic. Random Matrix Theory allows us to account for these biases and to evaluate the test’s power. Power increases with the number of test assets and reaches the maximum for a broad range of local alternatives. These conclusions are supported by an extensive simulation study. We implement the test empirically for state-of-the-art candidate efficient portfolios and test assets.