Consider an economy with three states which occur with probability (0.2, 0.4, 0.4). Suppose a firm has a project which generates the state dependent cash flows (100, 200, 200) at t=1.
The investment costs are 170 at t=0. The firm owns this money. The market portfolio generates the payoff (200, 250, 300) and has an expected return of 8%. The risk free rate is 3%. Suppose the CAPM holds.
(a) What is the beta of this project?
(b) Explain whether the firm should conduct the project.