When a risk factor is missing from an asset pricing model, the resulting mi
spricing is embedded within the residual covariance matrix. Exploiting this
phenomenon leads to expected return estimates that are more stable and pre
cise than estimates delivered by standard methods. Portfolio selection can
also be improved. At an extreme, optimal portfolio weights are proportional
to expected returns when no factors are observable. We find that such port
folios perform well in simulations and in out-of-sample comparisons.