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Consider a firm whose only asset is a plot of vacant​ land, and whose only liability...

Consider a firm whose only asset is a plot of vacant​ land, and whose only liability is debt of $15.4 million due in one year. If left​ vacant, the land will be worth $10.1 million in one year.​ Alternatively, the firm can develop the land at an​ up-front cost of $19.8 million. The developed the land will be worth $35.1 million in one year. Suppose the​ risk-free interest rate is 9.8%​, cash flows are​ risk-free, and there are no taxes.

a. If the firm chooses not to develop the​ land, what is the value of the​ firm's equity​ today? What is the value of the debt​today?

b. What is the NPV of developing the​ land?

c. Suppose the firm raises $19.8 million from the equity holders to develop the land. If the firm develops the​ land, what is the value of the​ firm's equity​ today? What is the value of the​ firm's debt​ today?

d. Given your answer to part ​(c​), would equity holders be willing to provide the $19.8 million needed to develop the​ land?

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