Abstract
Latent variable tests of asset pricing models make assumptions about the joint distribution of observable returns and unobservable benchmark returns. These tests can falsely accept models when a mean-variance efficient portfolio other than the benchmark satisfies the distributional assumptions imposed on the benchmark portfolio. Also, because the assumptions are untestable, there is no way to discover whether a model is being rejected because the assumptions are false. Without these assumptions, however, latent variable tests can be viewed only as tests of distributional hypotheses about mean-variance efficient portfolios of unknown composition.
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