Question
Consider a project with the following pro-forma asset and income statements for year 0 and 1. (in Pro-forma income, inflows are shown as (+) values
Consider a project with the following pro-forma asset and income statements for year 0 and 1. (in Pro-forma income, inflows are shown as (+) values are outflows are shown as () values).
a. Determine the unlevered free cash flows of the project for year 0 and year 1. (Note: Capex in year 1 is change in Capital Assets + Depreciation)
Year | 0 | 1 |
PRO FORMA ASSETS |
|
|
Capital Assets | 100 | 105 |
NWC | 10 | 10.5 |
PRO FORMA INCOME |
|
|
Cash Revenues |
| 250 |
Cash Variable Costs |
| -200 |
Cash Fixed Costs |
| -20 |
Depreciation |
| -10 |
Taxable Income |
| 20 |
Taxes (25%) |
| -5 |
After-tax Income |
| 15 |
b The unlevered beta of the assets (U) for this project is 1.5. The current risk-free interest rate is 3.0% per year and the expected market risk premium (E(MRP)) = 6.0% per year. Determine the CAPM estimate of the unlevered cost of capital rU.
c. Assume the unlevered free cash flows of this project after year 1 continue on forever growing at a rate of 5% per year (a growing perpetuity assumption). Determine the unlevered NPV AND market value, VU, of this project. (Hint Market value = NPV + Investment at year 0 = PV(FCF year 1 and onward))
d. You are asked about the sensitivity of the models output to changes in certain assumptions. Determine whether a 10% increase in cash fixed costs or a 1% increase in the cost of capital has a larger impact on VU.
e. This project is planning on using some debt. The project plans to use debt to maintain a capital structure where the debt to value ratio (D/V) is targeted at 0.30 for the life of the project. At this level of leverage, the projects borrowing costs, rD, will be 4.0%, with a corresponding debt beta, D, of 0.17. The tax rate is 25%. Given the above information, determine an estimate of rWACC for this project.
f. Under the capital structure assumptions of part e, determine the levered value of this project, VL, , given this weighted average cost of capital.
g. Calculate the amount of debt that the project will need to take at year zero to produce the targeted capital structure, D/VL = 0.30 AND calculate the projects interest tax shield (ITS) for year 1. (tax rate = 25%)
h. Discuss the estimate of VL from the model in part (f) in terms of a being the true valuation for the project. What important possible cash flows (inward or outward) are missing from the models estimate of levered value?
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