Icarus Airlines is proposing to go public, and you have been given the task of estimating the value of its equity. Management plans to maintain debt at 22% of the company’s present value, and you believe that at this capital structure the company’s debtholders will demand a return of 6% and stockholders will require 13%. The company is forecasting that next year’s operating cash flow (depreciation plus profit after tax at 21%) will be $60 million and that investment in plant and net working capital will be $22 million. Thereafter, operating cash flows and investment expenditures are forecast to grow in perpetuity by 4% a year.
To estimate the total value of Icarus Airlines and the value of its equity, we will use the discounted cash flow (DCF) valuation method, which calculates the present value of the company’s expected future cash flows. This method involves forecasting the company’s cash flows into the future and discounting them to their present value using the appropriate discount rates.
Forecasting Future Cash Flows: First, we need to estimate the company’s future cash flows. According to the information provided:
Next year’s operating cash flow (OCF) is projected to be $60 million.
Investment in plant and net working capital is expected to be $22 million.
After the first year, both OCF and investment expenditures are expected to grow in perpetuity by 4% per year.
OCF Year 1 = $60 million Investment Year 1 = $22 million
OCF Year 2 = $60 million * 1.04 = $62.4 million Investment Year 2 = $22 million * 1.04 = $22.88 million
This pattern continues indefinitely.
Calculating Free Cash Flows to the Firm (FCFF): FCFF represents the cash available to all investors (both debt and equity holders). It is calculated as follows:
FCFF = OCF – Investment
For Year 1: FCFF Year 1 = $60 million – $22 million = $38 million
For Year 2: FCFF Year 2 = $62.4 million – $22.88 million = $39.52 million
This pattern also continues indefinitely.
Determining the Present Value of FCFF: To calculate the total value of the company, we need to discount the FCFF to their present value using the weighted average cost of capital (WACC). The WACC is a blend of the cost of debt and cost of equity, weighted by their respective proportions in the capital structure.
Debt represents 22% of the company’s present value.
The cost of debt (r_d) is 6%.
Equity represents the remaining 78% of the company’s present value.
The cost of equity (r_e) is 13%.
WACC = (Debt % * r_d) + (Equity % * r_e) WACC = (0.22 * 0.06) + (0.78 * 0.13) ≈ 0.1046 or 10.46%
Now, we discount the FCFF using the WACC:
Total Value of Icarus = FCFF Year 1 / (WACC – Growth Rate) Total Value of Icarus = $38 million / (0.1046 – 0.04) ≈ $625.61 million
Calculating the Value of Equity: The value of equity is the total value of the company minus its debt. Since debt is 22% of the total value, equity represents the remaining 78%.
Value of Equity = Total Value of Icarus * (Equity %) Value of Equity = $625.61 million * 0.78 ≈ $488.22 million
Conclusion
Icarus Airlines’ estimated total value is approximately $625.61 million, while the value of its equity is approximately $488.22 million. These values are based on the projected cash flows, the company’s capital structure, and the required rates of return for both debt and equity holders. Investors considering Icarus Airlines’ initial public offering should take these estimates into account when evaluating the company’s potential value.
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