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Stock compensation plans (Tables)
12 Months Ended
Dec. 31, 2015
Share-based Compensation [Abstract]  
Weighted-Average Assumptions used to Estimate Fair Value of Options Granted
The fair value of options granted in 2015, 2014 and 2013 was estimated at the date of grant using a Black-Scholes option pricing model. The following weighted-average assumptions were used:
 
 
2015
 
2014
 
2013
Risk-free interest rate
1.44
%
 
1.45
%
 
0.75
%
Expected life of option
4.87 years

 
4.89 years

 
4.87 years

Expected dividend yield
1.12
%
 
1.34
%
 
1.73
%
Expected volatility
20.68
%
 
21.44
%
 
24.65
%
Weighted-Average Assumptions used to Estimate Fair Value of Non-Vested Shares Granted
The following weighted-average assumptions were used:
 
 
2015
 
2014
 
2013
Risk-free interest rate
0.94
%
 
0.65
%
 
0.36
%
Expected dividend yield
1.12
%
 
1.34
%
 
1.71
%
Summary of Stock Option Activity
The following table summarizes the option activity during 2015:
 
 
Shares Subject to Options
 
Weighted Average Exercise Price
 
Weighted Average Remaining Contractual Life In Years
 
Aggregate
Intrinsic
Value
 
 
 
 
 
 
 
(Dollars in thousands)
Outstanding, beginning of the year
1,233,672

 
$
75.93

 
 
 
 
Granted
353,688

 
121.10

 
 
 
 
Exercised
(112,941
)
 
68.53

 
 
 
 
Forfeited or expired
(31,507
)
 
103.42

 
 
 
 
Outstanding, end of the year
1,442,912

 
86.98

 
7.0
 
$
63,480

Exercisable, end of the year
839,149

 
$
71.65

 
6.0
 
$
50,180

Summary of Non-Vested Restricted Stock Unit Activity
The following table summarizes the non-vested restricted stock unit activity during 2015:
 
 
Number of
Non-Vested
Shares
 
Weighted
Average
Grant-Date
Fair Value
 
Weighted
Average
Remaining
Contractual
Life In Years
 
Aggregate
Intrinsic
Value
 
 
 
 
 
 
 
(Dollars in thousands)
Outstanding, beginning of the year
313,703

 
$
76.80

 
 
 
 
Granted
105,239

 
118.00

 
 
 
 
Vested
(106,667
)
 
61.79

 
 
 
 
Forfeited
(30,867
)
 
88.73

 
 
 
 
Outstanding, end of the year
281,408

 
96.59

 
1.2
 
$
36,818