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# Lowe’s Cos. Inc. (LOW)

## Present Value of Free Cash Flow to Equity (FCFE)

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 equity (FCFE) is generally described as cash flows available to the equity holder after payments to debt holders and after allowing for expenditures to maintain the company’s asset base.

### Intrinsic Stock Value (Valuation Summary)

Lowe’s Cos. Inc., free cash flow to equity (FCFE) forecast

USD \$ in millions, except per share data

Year Value FCFEt or Terminal value (TVt) Calculation Present value at
01 FCFE0
1 FCFE1 = × (1 + )
2 FCFE2 = × (1 + )
3 FCFE3 = × (1 + )
4 FCFE4 = × (1 + )
5 FCFE5 = × (1 + )
5 Terminal value (TV5) = × (1 + ) ÷ ()
Intrinsic value of Lowe’s Cos. Inc.’s common stock
Intrinsic value of Lowe’s Cos. Inc.’s common stock (per share) \$
Current share price \$

Based on: 10-K (filing date: 2019-04-02).

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.

### Required Rate of Return (r)

 Assumptions Rate of return on LT Treasury Composite1 RF Expected rate of return on market portfolio2 E(RM) Systematic risk (β) of Lowe’s Cos. Inc.’s common stock βLOW Required rate of return on Lowe’s Cos. Inc.’s common stock3 rLOW

1 Unweighted average of bid yields on all outstanding fixed-coupon U.S. Treasury bonds neither due or callable in less than 10 years (risk-free rate of return proxy).

Calculations

3 rLOW = RF + βLOW [E(RM) – RF]
= + []
=

### FCFE Growth Rate (g)

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

Lowe’s Cos. Inc., PRAT model

Average Feb 1, 2019 Feb 2, 2018 Feb 3, 2017 Jan 29, 2016 Jan 30, 2015 Jan 31, 2014
Selected Financial Data (USD \$ in millions)
Cash dividends declared
Net earnings
Net sales
Total assets
Shareholders’ equity
Ratios
Retention rate1
Profit margin2
Asset turnover3
Financial leverage4
Averages
Retention rate
Profit margin
Asset turnover
Financial leverage
Growth rate of FCFE (g)5

Based on: 10-K (filing date: 2019-04-02), 10-K (filing date: 2018-04-02), 10-K (filing date: 2017-04-04), 10-K (filing date: 2016-03-29), 10-K (filing date: 2015-03-31), 10-K (filing date: 2014-03-31).

2019 Calculations

1 Retention rate = (Net earnings – Cash dividends declared) ÷ Net earnings
= () ÷ =

2 Profit margin = 100 × Net earnings ÷ Net sales
= 100 × ÷ =

3 Asset turnover = Net sales ÷ Total assets
= ÷ =

4 Financial leverage = Total assets ÷ Shareholders’ equity
= ÷ =

5 g = Retention rate × Profit margin × Asset turnover × Financial leverage
= × × × =

#### FCFE growth rate (g) implied by single-stage model

g = 100 × (Equity market value0 × r – FCFE0) ÷ (Equity market value0 + FCFE0)
= 100 × ( × ) ÷ ( + ) =

where:
Equity market value0 = current market value of Lowe’s Cos. Inc.’s common stock (USD \$ in millions)
FCFE0 = last year Lowe’s Cos. Inc.’s free cash flow to equity (USD \$ in millions)
r = required rate of return on Lowe’s Cos. Inc.’s common stock

#### FCFE growth rate (g) forecast

Lowe’s Cos. 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) =