This paper examines the degree of portfolio inefficiency subject to va
rious constraints on portfolio weights. When portfolio weights are unc
onstrained, the posterior loss in expected return on the NYSE-AMEX mar
ket portfolio is over 20% (annualized). In contrast, when portfolio we
ights are constrained to be nonnegative, the posterior loss in expecte
d return is only about 4% (annualized). In addition, short-sale constr
aints greatly reduce uncertainty in inferences about portfolio efficie
ncy. (C) 1998 Elsevier Science S.A. All rights reserved.