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Gagliardini_2023_OUP_J Financial Econometrics_Eigenvalue Tests
Journal article

Eigenvalue tests for the number of latent factors in short panels

  • Fortin, Alain-Philippe Geneva School of Economics and Management, University of Geneva and Swiss Finance Institute, Geneva, Switzerland
  • Gagliardini, Patrick Istituto di finanza (IFin), Facoltà di scienze economiche, Università della Svizzera italiana, Svizzera
  • Scaillet, Olivier ORCID Geneva School of Economics and Management, University of Geneva and Swiss Finance Institute, Geneva, Switzerland
  • 2023
Published in:
  • Journal of financial econometrics. - 2023, vol. 00, p. nbad024
Factor model
Principal component analysis
Panel data
Large n and fixed T asymptotics
Equity returns
English This article studies new tests for the number of latent factors in a large cross-sectional factor model with small time dimension. These tests are based on the eigenvalues of variance–covariance matrices of (possibly weighted) asset returns and rely on either an assumption of spherical errors, or instrumental variables for factor betas. We establish the asymptotic distributional results using expansion theorems based on perturbation theory for symmetric matrices. Our framework accommodates semi-strong factors in the systematic components. We propose a novel statistical test for weak factors against strong or semi-strong factors. We provide an empirical application to U.S. equity data. Evidence for a different number of latent factors according to market downturns and market upturns is statistically ambiguous in the considered subperiods. In particular, our results contradict the common wisdom of a single-factor model in bear markets.
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Language
  • English
Classification
Economics
License
CC BY
Open access status
hybrid
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Persistent URL
https://n2t.net/ark:/12658/srd1330210
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