Steel Corporation is facing uncertainty for the coming year. Economists estimate that a good business environment and a bad business environment are equally likely. Managers of Steel Corporation must choose between two mutually exclusive projects. Assume that the project Steel Corporation chooses will be the firm's only activity and that the firm will close one year from today. Steel Corporation is obligated to make a $5,000 payment to bondholders at the end of the year. The two projects have the same systematic risk but different volatilities. The following information pertains to the two projects. Economy Probability Bad Good 0.50 0.50 Low-volatility project payoff $5,000 $5,200 High-volatility project payoff $4,400 $5,800 Required 1) What is the expected value of the firm if the low-volatility project is undertaken? 2) What is the expected value of the firm if the high-volatility project is undertaken? 3) Which of the project maximizes the expected value of the firm? 4) What is the expected value of the firm's equity if the low-volatility project is undertaken? 5) What is the expected value of the firm's equity if the high-volatility project is undertaken? 6) Which of the project would Steel Corporation's shareholders prefer? 7) Suppose bondholders are fully aware that shareholders might choose maximize equity value rather than total firm value and choose the high- volatility project. To minimize this agency cost, the firm's bondholders decide to use a bond covenant to demand a higher payment if Steel Corporation chooses to take on the high-volatility project. What payment to bondholders would make shareholders indifferent between two projects?