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# Time Warner Inc. (TWX)

## Present Value of Free Cash Flow to the Firm (FCFF)

Difficulty: Intermediate

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.

### Intrinsic Stock Value (Valuation Summary)

Time Warner Inc., free cash flow to the firm (FCFF) forecast

USD \$ 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 Time Warner's capital
Less: Debt (fair value)
Intrinsic value of Time Warner's common stock
Intrinsic value of Time Warner's common stock (per share) \$
Current share price \$

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.

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### Weighted Average Cost of Capital (WACC)

Time Warner Inc., cost of capital

Value1 Weight Required rate of return2 Calculation
Equity (fair value) %
Debt (fair value) % = % × (1 – %)

1 USD \$ in millions

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
= (% + % + % + % + %) ÷ 5 = %

WACC = %

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### FCFF Growth Rate (g)

#### FCFF growth rate (g) implied by PRAT model

Time Warner Inc., PRAT model

Average Dec 31, 2017 Dec 31, 2016 Dec 31, 2015 Dec 31, 2014 Dec 31, 2013
Selected Financial Data (USD \$ in millions)
Interest expense
Discontinued operations, net of tax
Net income attributable to Time Warner Inc. shareholders
Effective income tax rate (EITR)1 % % % % %
Interest expense, after tax2
Interest expense (after tax) and dividends
EBIT(1 – EITR)3
Debt due within one year
Long-term debt, excluding due within one year
Total Time Warner Inc. shareholders' equity
Total capital
Ratios
Retention rate (RR)4
Return on invested capital (ROIC)5 % % % % %
Averages
RR
ROIC %
Growth rate of FCFF (g)6 %

2017 Calculations

2 Interest expense, after tax = Interest expense × (1 – EITR)
= × (1 – %) =

3 EBIT(1 – EITR) = Net income attributable to Time Warner Inc. shareholders – 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
= × % = %

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#### 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 Time Warner's debt and equity (USD \$ in millions)
FCFF0 = last year Time Warner's free cash flow to the firm (USD \$ in millions)
WACC = weighted average cost of Time Warner's capital

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#### FCFF growth rate (g) forecast

Time Warner 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 + (g5g1) × (2 – 1) ÷ (5 – 1)
= % + (% – %) × (2 – 1) ÷ (5 – 1) = %

g3 = g1 + (g5g1) × (3 – 1) ÷ (5 – 1)
= % + (% – %) × (3 – 1) ÷ (5 – 1) = %

g4 = g1 + (g5g1) × (4 – 1) ÷ (5 – 1)
= % + (% – %) × (4 – 1) ÷ (5 – 1) = %

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