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.
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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