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QUESTION 24 [Q24-35] Your firms market value balance sheet is given as follows: Market Value Balance Sheet Excess cash $30M Debt $230M Operating Assets $500M

QUESTION 24

[Q24-35] Your firms market value balance sheet is given as follows:

Market Value Balance Sheet

Excess cash

$30M

Debt

$230M

Operating Assets

$500M

Equity

$300M

Asset Value

$530M

Debt + Equity

$530M

Assume that the you plan to keep the firms debt-to-equity ratio fixed. The firms corporate tax rate is 50%. The firms cost of debt is 10% and cost of equity is 20%.

Now, suppose that you are considering a new project that will last for one year. According to your analysis, free cash flows from the project are -$1,000 today (i.e. year 0) and $1,322.40 one year from today (i.e. year 1). This new project can be viewed as a carbon copy of the entire firms existing business. You want to find the NPV of the project using three different DCF methods: WACC/APV/FTE.

What is the firms WACC?

A.

16%

B.

14%

C.

20%

D.

10%

QUESTION 25

Under the WACC approach, the NPV of the project is obtained by discounting future ______ using the WACC.

A.

Tax savings

B.

Free cash flow to equity

C.

Free cash flow to debt

D.

Free cash flow

QUESTION 26

  1. What is the NPV based on the WACC approach?

    A.

    $140

    B.

    $160

    C.

    $200

    D.

    $20

QUESTION 27

What is the firms unlevered cost of capital?

A.

10%

B.

20%

C.

14%

D.

16%

QUESTION 28

What is the NPV of the project if the project were financed by 100% equity (i.e. unlevered)?

A.

$200

B.

$140

C.

$20

D.

$160

QUESTION 29

The new project is financed with the same capital structure as the entire firm (implying that the interest tax shield should be discounted using the unlevered cost of capital). To do so, you raise $464 in debt at year 0. Then, what would the present value of the interest tax shield be? Assume that the interest rate on the debt is the same as the firms cost of debt (i.e. 10%).

A.

$160

B.

$20

C.

$200

D.

$140

QUESTION 30

What is the NPV of the project based on the APV approach?

A.

$200

B.

$20

C.

$140

D.

$160

QUESTION 31

What is the FCFE at year 0? (Hint: You raise $464 in debt at time 0.)

A.

$835.20

B.

$536

C.

-$835.20

D.

-$536

QUESTION 32

What is the FCFE at year 1? (Hint: You repay the debt of $464 at time 1.)

A.

-$835.20

B.

$835.20

C.

$536

D.

-$536

QUESTION 33

Which of the following serves as the discount rate for free cash flows to equity?

A.

14%

B.

10%

C.

16%

D.

20%

QUESTION 34

What is the NPV of the project based on the FTE approach?

A.

$200

B.

$160

C.

$140

D.

$20

QUESTION 35

Do the WACC/APV/FTE approaches produce identical NPV values?

Yes

No

Please show work.

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