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Suppose Alcatel-Lucent has an equity cost of capital of 9.7 %, market capitalization of $9.94 billion, and an enterprise value of $14 billion. Assume that

Suppose Alcatel-Lucent has an equity cost of capital of 9.7 %, market capitalization of $9.94 billion, and an enterprise value of $14 billion. Assume that Alcatel-Lucent's debt cost of capital is 5.7%, its marginal tax rate is 38%, the WACC is 7.9119%, and it maintains a constant debt-equity ratio. The firm has a project with average risk. The expected free cash flow, levered value, and debt capacity are as follows:

Year

0

1

2

3

FCF ($ million)

-100

45

105

69

VL

186.78

156.55

63.94

0

D= d * VL

54.17

45.4

18.54

0

Thus, the NPV of the project calculated using the WACC method is

$ 186.78 million minus $ 100 million equals $ 86.78 million$186.78 million$100 million=$86.78 million.

a. What is Alcatel-Lucent's unlevered cost of capital?

b. What is the unlevered value of the project?

c. What are the interest tax shields from the project? What is their present value?

d. Show that the APV of Alcatel-Lucent's project matches the value computed using the WACC method.

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