We study a two-period, pure exchange economy with an incomplete nominal asset market where agents have private information and learn from prices. It is well known that the indeterminacy of equilibrium prices, and, generically, allocations, that characterises economies with an incomplete financial market and nominal assets may be exploited to determine the degree of information disclosure by rational expectations equilibrium prices. Here we provide a general characterization of the dimension of the indeterminacy of rational expectations equilibria. (C) 2003 Elsevier Science B.V. All rights reserved.