A critique of latent variable tests of asset pricing models
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.