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Consider a project with free cash flow in one year of $138,904 or $183,139, with either outcome being equally likely

Finance Oct 14, 2020

Consider a project with free cash flow in one year of $138,904 or $183,139, with either outcome being equally likely. The initial investment required for the project is $95,000, and the project's cost of capital is 21%. The risk-free interest rate is 11%. (Assume no taxes or distress costs.) 
a. What is the NPV of this project? b. Suppose that to raise the funds for the initial investment, the project is sold to investors as an all-equity firm. The equity holders will receive the cash flows of the project in one year. How much money can be raised in this way—that is, what is the initial market value of the unlevered equity? c. Suppose the initial $95,000 is instead raised by borrowing at the risk-free interest rate. What are the cash flows of the levered equity, and what is its initial value according to M&M? 
 

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