A model that includes bounded price variation and rational expectations by producers is estimated for the U.S. corn market. The resulting model specification is highly nonlinear though since the probability of market equilibrium must be determined endogenously. Unlike previous research, the crossequation restrictions implied by the rational expectations hypothesis are incorporated in the bounded prices model by using Fair and Taylor's (1983) procedure for obtaining maximum likelihood estimates of nonlinear rational expectations models. The resulting model is compared against a standard equlibrium model with naive expectations. The results show the bounded prices model is a superior specification.