Present Value of Free Cash Flow to the Firm (FCFF)
In discounted cash flow (DCF) valuation techniques the value of the stock is estimated based upon present value of some measure of cash flow. Free cash flow to the firm (FCFF) is generally described as cash flows after direct costs and before any payments to capital suppliers.
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Air Products & Chemicals Inc. pages available for free this week:
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Solvency Ratios
- Analysis of Short-term (Operating) Activity Ratios
- Analysis of Long-term (Investment) Activity Ratios
- Analysis of Geographic Areas
- Enterprise Value to FCFF (EV/FCFF)
- Price to FCFE (P/FCFE)
- Dividend Discount Model (DDM)
- Operating Profit Margin since 2005
- Aggregate Accruals
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Intrinsic Stock Value (Valuation Summary)
Air Products & Chemicals Inc., free cash flow to the firm (FCFF) forecast
US$ in thousands, except per share data
| Year | Value | FCFFt or Terminal value (TVt) | Calculation | Present value at |
|---|---|---|---|---|
| 01 | FCFF0 | |||
| 1 | FCFF1 | = × (1 + ) | ||
| 2 | FCFF2 | = × (1 + ) | ||
| 3 | FCFF3 | = × (1 + ) | ||
| 4 | FCFF4 | = × (1 + ) | ||
| 5 | FCFF5 | = × (1 + ) | ||
| 5 | Terminal value (TV5) | = × (1 + ) ÷ ( – ) | ||
| Intrinsic value of Air Products & Chemicals Inc. capital | ||||
| Less: Debt (fair value) | ||||
| Intrinsic value of Air Products & Chemicals Inc. common stock | ||||
| Intrinsic value of Air Products & Chemicals Inc. common stock (per share) | ||||
| Current share price | ||||
Based on: 10-K (reporting date: 2020-09-30).
Disclaimer!
Valuation is based on standard assumptions. There may exist specific factors relevant to stock value and omitted here. In such a case, the real stock value may differ significantly form the estimated. If you want to use the estimated intrinsic stock value in investment decision making process, do so at your own risk.
Weighted Average Cost of Capital (WACC)
Air Products & Chemicals Inc., cost of capital
| Value1 | Weight | Required rate of return2 | Calculation | |
|---|---|---|---|---|
| Equity (fair value) | ||||
| Debt (fair value) | = × (1 – ) |
Based on: 10-K (reporting date: 2020-09-30).
1 US$ in thousands
Equity (fair value) = No. shares of common stock outstanding × Current share price
= ×
=
Debt (fair value). See details »
2 Required rate of return on equity is estimated by using CAPM. See details »
Required rate of return on debt. See details »
Required rate of return on debt is after tax.
Estimated (average) effective income tax rate
= ( + + + + + ) ÷ 6
=
WACC =
FCFF Growth Rate (g)
FCFF growth rate (g) implied by PRAT model
Air Products & Chemicals Inc., PRAT model
Based on: 10-K (reporting date: 2020-09-30), 10-K (reporting date: 2019-09-30), 10-K (reporting date: 2018-09-30), 10-K (reporting date: 2017-09-30), 10-K (reporting date: 2016-09-30), 10-K (reporting date: 2015-09-30).
2020 Calculations
2 Interest expense, after tax = Interest expense × (1 – EITR)
= × (1 – )
=
3 EBIT(1 – EITR)
= Net income attributable to Air Products – Income (loss) from discontinued operations, net of tax + Interest expense, after tax
= – +
=
4 RR = [EBIT(1 – EITR) – Interest expense (after tax) and dividends] ÷ EBIT(1 – EITR)
= [ – ] ÷
=
5 ROIC = 100 × EBIT(1 – EITR) ÷ Total capital
= 100 × ÷
=
6 g = RR × ROIC
= ×
=
FCFF growth rate (g) implied by single-stage model
g = 100 × (Total capital, fair value0 × WACC – FCFF0) ÷ (Total capital, fair value0 + FCFF0)
= 100 × ( × – ) ÷ ( + )
=
where:
Total capital, fair value0 = current fair value of Air Products & Chemicals Inc. debt and equity (US$ in thousands)
FCFF0 = the last year Air Products & Chemicals Inc. free cash flow to the firm (US$ in thousands)
WACC = weighted average cost of Air Products & Chemicals Inc. capital
FCFF growth rate (g) forecast
Air Products & Chemicals Inc., H-model
| Year | Value | gt |
|---|---|---|
| 1 | g1 | |
| 2 | g2 | |
| 3 | g3 | |
| 4 | g4 | |
| 5 and thereafter | g5 |
where:
g1 is implied by PRAT model
g5 is implied by single-stage model
g2, g3 and g4 are calculated using linear interpoltion between g1 and g5
Calculations
g2 = g1 + (g5 – g1) × (2 – 1) ÷ (5 – 1)
= + ( – ) × (2 – 1) ÷ (5 – 1)
=
g3 = g1 + (g5 – g1) × (3 – 1) ÷ (5 – 1)
= + ( – ) × (3 – 1) ÷ (5 – 1)
=
g4 = g1 + (g5 – g1) × (4 – 1) ÷ (5 – 1)
= + ( – ) × (4 – 1) ÷ (5 – 1)
=