Question

Island Hotels, Inc. (IHI) forecasts that its free cash flow in the coming year, i.e., at...

Island Hotels, Inc. (IHI) forecasts that its free cash flow in the coming year, i.e., at t = 1, will be -$7 million (negative), but then its FCF will turn positive. At t = 2 IHI’s FCF will be $35 million, and at t = 3 IHI’s FCF will be $58 million. After Year 3, FCF is expected to grow at a constant rate of 5% forever. If IHI’s weighted average cost of capital is 19%, what is the firm's value of operations, in millions? Enter your answer rounded to two decimal places. Do not enter $ or comma in the answer box. For example, if your answer is $12,300.456 then enter as 12300.46 in the answer box.

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Answer #1

Step-1, Calculation of the Horizon Value (HV)

Free Cash Flow in Year 3 (FCF3) = $58 Million

Growth Rate after 3rd (g) = 5% per year

Weighted Average Cost of Capital (WACC) = 19%

Therefore, the Horizon Value (HV) = FCF3(1 + g) / (WACC – g)

= $58 Million(1 + 0.05) / (0.19 – 0.05)

= $60.90 Million / 0.14

= $435.00 Million

Step-2, Calculation of the firm's value of operations

Firm's value of operations is the Present Value of the free cash flows plus the present value of the Horizon Value discounted at WACC

Year

Cash flow

($ in Million)

Present Value factor at 19%

Present Value of cash flows

($ in Million)

1

-7.00

0.84034

-5.89

2

35.00

0.70616

24.72

3

58.00

0.59342

34.42

3

435.00

0.59342

258.14

TOTAL

311.39

“Therefore, the firm's value of operations will be $311.39 Million”

NOTE

The Formula for calculating the Present Value Factor is [1/(1 + r)n], Where “r” is the Discount/Interest Rate and “n” is the number of years.

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