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# 3M Co. (MMM)

## 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)

3M Co., 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 3M's common stock
Intrinsic value of 3M'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.

### 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 3M's common stock βMMM Required rate of return on 3M's common stock3 rMMM %

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 rMMM = RF + βMMM [E(RM) – RF]
= % + [% – %]
= %

### FCFE Growth Rate (g)

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

3M Co., PRAT model

Average Dec 31, 2017 Dec 31, 2016 Dec 31, 2015 Dec 31, 2014 Dec 31, 2013
Selected Financial Data (USD \$ in millions)
Dividends declared
Net income attributable to 3M
Net sales
Total assets
Total 3M Company 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 %

2017 Calculations

1 Retention rate = (Net income attributable to 3M – Dividends declared) ÷ Net income attributable to 3M
= () ÷ =

2 Profit margin = 100 × Net income attributable to 3M ÷ Net sales
= 100 × ÷ = %

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

4 Financial leverage = Total assets ÷ Total 3M Company 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 3M's common stock (USD \$ in millions)
FCFE0 = last year 3M's free cash flow to equity (USD \$ in millions)
r = required rate of return on 3M's common stock

#### FCFE growth rate (g) forecast

3M Co., 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) = %