Company A considers buying company B by means of a tender offer. Company B will accept any offer of A which reflects a fair value (namely, any offer which is not below the expected value of the project to B, given B's information). Company B is currently undertaking a major project. If the project is a complete failure the fair value of each share of B will be $60, and if it's a complete success the fair value of a share will be $120. The outcome of the project can vary from a complete failure to a complete success, and all outcomes are equally likely. That is, the fair value of a share of B can be any number between 60 and 120 equally likely. The management of A is significantly more skillful than that of B. Under the management of A the share price of B will be $20 higher than under the current management of B. Assume that the offer of A is made before the outcome of the project is known, but B will decide to accept or reject after the outcome is announced. What should A offer B in terms of a price per share