Answer the remaining questions based on the following information. Assume that a firm has $90 in assets today. In one year, it will have to repay $100 to bondholders. Also assume that the discount rate is zero. The firm has three mutually exclusive additional investment opportunities as follow: Project (X): investment required = $90, cash flows = $200 in good economy, $ 0 in bad economy (40% probability for good economy and 60% probability for bad economy) Project (Y): investment required = $90, cash flows = $130 in good economy, $ 50 in bad economy (50% probability for each state occurring) Project (Z): investment required = $90, cash flows = $95 in any state of economy. a) Assume that managers act in shareholders interests. Which of the project will they choose? What is the value of equity under this project? Explain and show your calculations.

b) Calculate the NPV of each of these projects.