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9. Share-based Compensation (Tables)
12 Months Ended
Dec. 31, 2018
Share-based Compensation [Abstract]  
Stock Options Activity
Stock Options
The following table summarizes stock option activity:

 
 
Shares
 
Weighted-
Average
Exercise Price
 
Weighted-
Average
Remaining
Contractual
Term (in years)
 
Aggregate
Intrinsic
Value
(in millions)
Outstanding, December 31, 2017
 
407,480

 
$
120.39

 
 
 
 
Granted
 
33,000

 
$
326.15

 
 
 
 
Exercised
 
(44,600
)
 
$
93.63

 
 
 
 
Forfeited/expired
 
(22,240
)
 
$
169.93

 
 
 
 
Outstanding, December 31, 2018
 
373,640

 
$
138.81

 
4.90
 
$
38.0

 
 
 
 
 
 
 
 
 
Unvested, December 31, 2018
 
99,600

 
$
223.91

 
8.32
 
$
3.9

Exercisable, December 31, 2018
 
274,040

 
$
107.88

 
3.65
 
$
34.1

Stock Options Valuation Assumptions
The weighted-average fair value of stock options granted was estimated using a Black-Scholes option-pricing model with the following weighted-average assumptions:

 
 
Year Ended December 31,
 
 
2018
 
2017
 
2016
Expected volatility
 
22
%
 
20
%
 
21
%
Risk-free interest rate
 
2.85
%
 
1.87
%
 
1.35
%
Expected life (in years)
 
7.6

 
7.2

 
7.4

Expected dividend
 

 

 

Weighted-average fair value of options granted
 
$
105.94

 
$
58.65

 
$
42.40

Resticted Stock Activity
The following table summarizes restricted stock unit activity:
 
 

Restricted Stock
Units
 
Weighted-
Average
Grant-Date
Fair Value
 
Weighted-Average
Remaining
Contractual Term
(in years)
 
Aggregate
Intrinsic Value
(in millions)
Outstanding, December 31, 2017
 
473,000

 
$
172.76

 
 
 
 
Granted
 
185,755

 
$
326.15

 
 
 
 
Vested
 
(128,294
)
 
$
158.49

 
 
 
 
Forfeited
 
(56,011
)

$
182.15

 
 
 
 
Outstanding, December 31, 2018
 
474,450

 
$
235.57

 
2.11
 
$
110.2

Employee Stock Purchase Plan, Valuation Assumptions The fair value of the employees’ purchase rights under the 2011 ESPP was estimated using a Black-Scholes model with the following weighted-average assumptions:

 
Year Ended December 31,
 
2018
 
 
 
2017
 
 
 
2016
Expected volatility
27
%
 
 
 
19
%
 
 
 
20
%
Risk-free interest rate
1.82
%
 
 
 
0.83
%
 
 
 
0.26
%
Expected life (in years)
0.24

 
 
 
0.24

 
 
 
0.25

Expected dividend

 
 
 

 
 
 

Weighted-average fair value
 
 
 
 
 
 
 
 
 
of purchase rights
$
55.04

 
 
 
$
38.86

 
 
 
$
27.36