Question
A firm is planning to take a project that if funded entirely with equity has net after tax cash flows as indicated in the table
A firm is planning to take a project that if funded entirely with equity has net after tax cash flows as indicated in the table below.
Year | Cash flow |
0 | -13000000 |
1 | 1500000 |
2 | 1500000 |
3 | 1500000 |
4 | 1500000 |
5 | 1500000 |
6 | 2000000 |
7 | 2000000 |
8 | 2000000 |
9 | 2000000 |
10 | 2000000 |
11 | 2500000 |
12 | 2500000 |
13 | 2500000 |
14 | 2500000 |
15 | 2500000 |
16 | 3000000 |
17 | 3000000 |
18 | 3000000 |
19 | 3000000 |
20 | 9000000 |
The firm estimates that the asset beta (i.e., when funded entirely with equity) for comparable projects is 1.2. The risk-free interest rate is 2.0% and the firm expects the market return over the next 20 years to average 12.0%. The project will operate as a corporation with a combined federal and state income tax rate of 26%.
The firm plans to fund 15% of the project with debt that makes annual interest payment at 4% for 20 years at which time the entire principal is due.
For all of the following, use annual cash flows and annual interest payments.
1a. Using the capital asset pricing model, determine the required return of the project if funded entirely with equity.
b. Calculate the net present value of the project if funded entirely with equity.
2a. Calculate the required return on leveraged equity.
c. Determine the weighted average cost of capital.
d. Using the WACC method, what is the net present value of the leveraged project?
3a. Calculate the amount of the each annual interest payment on the loan.
b. Calculate the present value of the interest payments.
c. Determine the value of the tax shield of interest.
d. Using the APV method, what is the net present value of the leveraged project?
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