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# Danaher Corp. (DHR)

## 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)

Danaher Corp., free cash flow to equity (FCFE) forecast

USD \$ in thousands, 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 Danaher's common stock
Intrinsic value of Danaher'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 Danaher's common stock βDHR Required rate of return on Danaher's common stock3 rDHR %

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 rDHR = RF + βDHR [E(RM) – RF]
= % + [% – %]
= %

### FCFE Growth Rate (g)

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

Danaher Corp., PRAT model

Average Dec 31, 2017 Dec 31, 2016 Dec 31, 2015 Dec 31, 2014 Dec 31, 2013
Selected Financial Data (USD \$ in thousands)
Dividends declared
Net earnings
Sales
Total assets
Total Danaher stockholders' 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 earnings – Dividends declared) ÷ Net earnings
= () ÷ =

2 Profit margin = 100 × Net earnings ÷ Sales
= 100 × ÷ = %

3 Asset turnover = Sales ÷ Total assets
= ÷ =

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

#### FCFE growth rate (g) forecast

Danaher Corp., 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) = %