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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Linde plc pages available for free this week:
- Common-Size Balance Sheet: Liabilities and Stockholders’ Equity
- Analysis of Reportable Segments
- Enterprise Value to EBITDA (EV/EBITDA)
- Enterprise Value to FCFF (EV/FCFF)
- Present Value of Free Cash Flow to Equity (FCFE)
- Net Profit Margin since 2005
- Return on Equity (ROE) since 2005
- Price to Operating Profit (P/OP) since 2005
- Price to Book Value (P/BV) since 2005
- Aggregate Accruals
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Intrinsic Stock Value (Valuation Summary)
Linde plc, free cash flow to the firm (FCFF) forecast
US$ in millions, 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 Linde plc capital | ||||
| Less: Debt and finance lease liabilities (fair value) | ||||
| Intrinsic value of Linde plc common stock | ||||
| Intrinsic value of Linde plc common stock (per share) | ||||
| Current share price | ||||
Based on: 10-K (reporting date: 2023-12-31).
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)
Linde plc, cost of capital
| Value1 | Weight | Required rate of return2 | Calculation | |
|---|---|---|---|---|
| Equity (fair value) | ||||
| Debt and finance lease liabilities (fair value) | = × (1 – ) |
Based on: 10-K (reporting date: 2023-12-31).
1 US$ in millions
Equity (fair value) = No. shares of common stock outstanding × Current share price
= ×
=
Debt and finance lease liabilities (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
= ( + + + + ) ÷ 5
=
WACC =
FCFF Growth Rate (g)
FCFF growth rate (g) implied by PRAT model
Linde plc, PRAT model
Based on: 10-K (reporting date: 2023-12-31), 10-K (reporting date: 2022-12-31), 10-K (reporting date: 2021-12-31), 10-K (reporting date: 2020-12-31), 10-K (reporting date: 2019-12-31).
2023 Calculations
2 Interest expense, after tax = Interest expense × (1 – EITR)
= × (1 – )
=
3 EBIT(1 – EITR)
= Net income, Linde plc – Income 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 Linde plc debt and equity (US$ in millions)
FCFF0 = the last year Linde plc free cash flow to the firm (US$ in millions)
WACC = weighted average cost of Linde plc capital
FCFF growth rate (g) forecast
Linde plc, 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)
=