Highest expected payoff for equity holders


Task: Zymase is a biotechnology start-up firm. Research at Zymase must choose one of three different research strategies. The payoffs (after-tax) and their likelihood for each strategy are shown below. The risk of each project is diverifiable.

Strategy    Probability    Payoff ($ million)
A                 100%                75
B                   50%               140
                     50%                 0
C                   10%               300
                     90%                40

Question 1: Which project has the highest expected payoff?

Question 2: Suppose Zymase has debt of $40 million due at the time of the project's payoff. Which project has the highest expected payoff for equity holders:

Question 3: Suppose Zymase has debt of $110 million due at the time of the project's payoff. Which project has the highest expected payoff for equity holders?

Question 4: If management chooses the strategy that maximizes the payoff to equity holders, what is the expected agency cost to the firm from having $40 million in debt due? What is the expected cost to the firm having $110 million in debt due?

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