Consider a project with free cash flow in one year of $139,138 or $187,005, with either outcome being equally likely. The initial investment required for the project is $110,000, and the project's cost of capital is 23%. The risk-free interest rate is 7%. (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 $110,000 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? a. What is the NPV of this project? The NPV is $ 22578. (Round to the nearest dollar.) 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? The initial market value of the unlevered equity is $132578. (Round to the nearest dollar.) c. Suppose the initial $110,000 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? The cash flows of the levered equity and the initial market value of the levered equity according to M&M is: (Round to the nearest dollar.) Debt Levered Equity Date 0 Initial Value $110,000 Cash Flow Strong Economy $ Date 1 Cash Flow Weak Economy $

Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outcome being equally likely. The initial investment required for the project is $80,000, and the project's cost of capital is 15%. The risk-free interest rate is 5%. c. Suppose that to raise the funds for the initial investment the firm borrows $45,000 at the risk-free rate and issues new equity to cover the remainder. In this situation, calculate the value of the firm's levered equity from the project. What is the cost of capital for the firm's levered equity? d. What is the basic goal of financial management with respect to capital structure? Is there an easily identifiable capital structure that will maximize the value of the firm? Why or why not?

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7. The NPV and payback period What information does the payback period provide? Suppose you are evaluating a project with the expected future cash inflows shown in the following table. Your boss has asked you to calculate the project’s net present value (NPV). You don’t know the project’s initial cost, but you do know the project’s regular, or conventional, payback period is 2.50 years. Year Cash Flow Year 1 $375,000 Year 2 $475,000 Year 3 $500,000 Year 4 $400,000   If the project’s weighted average cost of capital (WACC) is 8%, the project’s NPV (rounded to the nearest dollar) is: $345,386   $328,117   $414,463   $362,655