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Stock Transactions and Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2015
Share-based Compensation [Abstract]  
Assumptions Used In The Black-Scholes Model To Value Options Granted
The following summarizes the assumptions used in the Black-Scholes model to value options granted during the years ended December 31:
 
2015
 
2014
 
2013
Risk-free interest rate
1.6 – 2.2%

 
1.7 – 2.4%

 
1.0 – 2.3%

Weighted average volatility
24.3
%
 
22.4
%
 
23.6
%
Dividend yield
0.6
%
 
0.5
%
 
0.2
%
Expected years until exercise
5.5 – 8.0

 
5.5 – 8.0

 
6.0 – 8.5
Components Of Share-Based Compensation Program
The following summarizes the components of the Company’s continuing operations stock-based compensation expense for the years ended December 31 ($ in millions):
 
2015
 
2014
 
2013
RSUs/PSUs:
 
 
 
 
 
Pretax compensation expense
$
92.2

 
$
71.4

 
$
64.6

Income tax benefit
(29.6
)
 
(20.8
)
 
(19.4
)
RSU/PSU expense, net of income taxes
62.6

 
50.6

 
45.2

Stock options:
 
 
 
 
 
Pretax compensation expense
46.8

 
44.1

 
45.0

Income tax benefit
(15.0
)
 
(13.2
)
 
(13.8
)
Stock option expense, net of income taxes
31.8

 
30.9

 
31.2

Total stock-based compensation:
 
 
 
 
 
Pretax compensation expense
139.0

 
115.5

 
109.6

Income tax benefit
(44.6
)
 
(34.0
)
 
(33.2
)
Total stock-based compensation expense, net of income taxes
$
94.4

 
$
81.5

 
$
76.4
Option Activity Under The Company's Stock Plans
.
The following summarizes option activity under the Company’s stock plans (in millions, except weighted exercise price and number of years):
 
Options
 
Weighted Average Exercise Price
 
Weighted Average Remaining Contractual Term (in years)
 
Aggregate Intrinsic Value
Outstanding as of January 1, 2013
27.4

 
$
37.94

 
 
 
 
Granted
3.8

 
64.73

 
 
 
 
Exercised
(5.1
)
 
31.19

 
 
 
 
Cancelled/forfeited
(1.1
)
 
47.35

 
 
 
 
Outstanding as of December 31, 2013
25.0

 
42.93

 
 
 
 
Granted
3.9

 
77.37

 
 
 
 
Exercised
(3.7
)
 
34.98

 
 
 
 
Cancelled/forfeited
(0.9
)
 
61.46

 
 
 
 
Outstanding as of December 31, 2014
24.3

 
48.92

 
 
 
 
Granted
3.3

 
88.13

 
 
 
 
Exercised
(6.2
)
 
36.92

 
 
 
 
Cancelled/forfeited
(1.3
)
 
68.13

 
 
 
 
Outstanding as of December 31, 2015
20.1

 
$
57.84

 
6
 
$
705.8

Vested and expected to vest as of December 31, 2015 (a)
19.0

 
$
56.98

 
6
 
$
681.4

Vested as of December 31, 2015
9.8

 
$
42.78

 
4
 
$
492.6

 
 
 
 
 
 
 
 
(a) The “expected to vest” options are the net unvested options that remain after applying the forfeiture rate assumption to total unvested options.
Summary Of Options Outstanding
Options outstanding as of December 31, 2015 are summarized below (in millions, except price per share and number of years):
 
Outstanding
 
Exercisable
Exercise Price
Shares
 
Average Exercise Price
 
Average Remaining Life (in years)
 
Shares
 
Average Exercise Price
$26.29 to $37.74
4.1

 
$
32.92

 
3
 
4.1

 
$
32.92

$37.75 to $51.08
4.3

 
43.92

 
4
 
3.6

 
42.78

$51.09 to $67.16
3.9

 
55.25

 
7
 
1.2

 
53.42

$67.17 to $82.22
4.4

 
73.74

 
8
 
0.8

 
71.65

$82.23 to $93.54
3.4

 
87.87

 
9
 
0.1

 
84.52
RSU And Restricted Stock Activity
The following summarizes information on unvested RSU and PSU activity (in millions, except weighted average grant-date fair value):
 
Number of RSUs/PSUs
 
Weighted Average
Grant-Date  Fair Value
Unvested as of January 1, 2013
5.6

 
$
43.29

Granted
1.5

 
64.83

Vested
(1.4
)
 
38.66

Forfeited
(0.5
)
 
43.90

Unvested as of December 31, 2013
5.2

 
51.04

Granted
1.6

 
76.71

Vested
(1.5
)
 
42.60

Forfeited
(0.4
)
 
58.82

Unvested as of December 31, 2014
4.9

 
61.64

Granted
2.2

 
86.72

Vested
(1.6
)
 
57.73

Forfeited
(0.6
)
 
69.54

Unvested as of December 31, 2015
4.9

 
73.31