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Journal of Banking & Finance Vol. 162 2024

GMM weighting matrices in cross-sectional asset pricing tests

Nora Laurinaityte1; Christoph Meinerding2; Christian Schlag1,3; Julian Thimme4

1 Goethe University Frankfurt · 2 Deutsche Bundesbank · 3 Leibniz Institute for Financial Research SAFE · 4 Karlsruhe Institute of Technology

open access

Abstract

When estimating misspecified linear factor models for the cross-section of expected returns using GMM, the explanatory power of these models can be spuriously high when the estimated factor means are allowed to deviate substantially from the sample averages. In fact, by shifting the weights on the moment conditions, any level of cross-sectional fit can be attained. The mathematically correct global minimum of the GMM objective function can be obtained at a parameter vector that is far from the true parameters of the data-generating process. This property is not restricted to small samples, but rather holds in population. It is a feature of the GMM estimation design and applies to both strong and weak factors, as well as to all types of test assets.

DOI
10.1016/j.jbankfin.2024.107123
Volume
162
Pages
107123
Language
en
Sources
openalex crossref bibtex:phds-export.bib

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