This paper discusses a liquidity run model where investors optimally decide whether or not to acquire private information. This endogenizes the dichotomy "private information/no private information". The price of the information makes the equilibrium partitioning of the fundamentals two dimensional. For intermediate fundamentals multiplicity can be eliminated by the private information that investors can have. The dichotomy represents the information structures for low and high prices respectively. However, it presents a distorted view for intermediate prices and fundamentals for which unique equilibria without private information can occur. These results are preserved if the quality of the information is endogenized.