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Stock-based Compensation (Tables)
12 Months Ended
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock-based compensation costs
The following table summarizes stock-based compensation costs for the years ended December 31, 2012, 2011, and 2010.
 
Year Ended December 31
Millions of dollars
2012
2011
2010
Stock-based compensation cost
$
217

$
198

$
158

Tax benefit
(67
)
(61
)
(50
)
Stock-based compensation cost, net of tax
$
150

$
137

$
108

Assumptions and fair values of options granted
The assumptions and resulting fair values of options granted were as follows:

 
Year Ended December 31
 
2012
2011
2010
Expected term (in years)
5.21
5.20
5.27
Expected volatility
46%
40%
40%
Expected dividend yield
0.99 – 1.24%
0.69 – 1.01%
0.99 – 1.71%
Risk-free interest rate
0.65 – 1.15%
0.93 – 2.29%
1.20 – 2.78%
Weighted average grant-date fair value per share
$11.99
$15.61
$9.94
Restricted stock awards activity
The following table represents our Stock Plan and Directors Plan restricted stock awards and restricted stock units granted, vested, and forfeited during 2012.
 
Number of Shares
(in millions)
Weighted Average
Grant-Date Fair
Value per Share
Nonvested shares at January 1, 2012
14.2

$
33.45

Granted
5.7

32.17

Vested
(4.0
)
32.24

Forfeited
(1.1
)
34.77

Nonvested shares at December 31, 2012
14.8

$
33.17

Stock Options
 
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock options activity
The following table represents our stock options activity during 2012.
 
Number
of Shares
(in millions)
Weighted
Average
Exercise
Price
per Share
Weighted
Average
Remaining
Contractual Term (years)
Aggregate
Intrinsic
Value
(in millions)
Outstanding at January 1, 2012
14.9

$
31.74

 
 
Granted
4.8

32.20

 
 
Exercised
(0.8
)
18.65

 
 
Forfeited/expired
(0.8
)
36.88

 
 
Outstanding at December 31, 2012
18.1

$
32.23

6.7
$
92

Exercisable at December 31, 2012
10.6

$
30.38

5.2
$
75

Employee Stock Purchase Plan
 
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Assumptions and fair values of options granted
The assumptions and resulting fair values were as follows:
 
Offering period July 1 through December 31
 
2012
2011
2010
Expected term (in years)
0.5

0.5

0.5

Expected volatility
49
%
34
%
43
%
Expected dividend yield
1.26
%
0.70
%
1.44
%
Risk-free interest rate
0.15
%
0.10
%
0.21
%
Weighted average grant-date fair value per share
$
8.12

$
12.57

$
6.72


 
Offering period January 1 through June 30
 
2012
2011
2010
Expected term (in years)
0.5

0.5

0.5

Expected volatility
50
%
43
%
48
%
Expected dividend yield
1.05
%
0.88
%
1.15
%
Risk-free interest rate
0.06
%
0.20
%
0.19
%
Weighted average grant-date fair value per share
$
9.82

$
10.99

$
8.81