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Share-Based Compensation Plans (Tables)
12 Months Ended
Dec. 31, 2019
Share-based Payment Arrangement [Abstract]  
Share-Based Compensation Expense Recognized in Income and the Associated Tax Benefit
Total share-based compensation expense recognized in income and the associated income tax benefit for the years ended December 31 were:
 
 
Millions of Dollars
 
2019

 
2018

 
2017

 
 
 
 
 
 
Share-based compensation expense
$
169

 
100

 
142

Income tax benefit
(53
)
 
(45
)
 
(74
)



Stock Option Activity
The following table summarizes our stock option activity from January 1, 2019, to December 31, 2019:
 
 
 
 
 
 
 
 
Millions of Dollars 

 
Options

 
Weighted-  
Average
Exercise Price

 
Weighted-Average
Grant-Date
Fair Value

 
 Aggregate
Intrinsic Value

 
 
 
 
 
 
 
 
Outstanding at January 1, 2019
4,752,808

 
$
63.11

 
 
 
 
Granted
830,900

 
94.97

 
$
17.58

 
 
Forfeited
(553
)
 
94.85

 
 
 
 
Exercised
(803,751
)
 
39.90

 
 
 
$
51

Outstanding at December 31, 2019
4,779,404

 
$
72.55

 
 
 
 
 
 
 
 
 
 
 
 
Vested at December 31, 2019
3,603,296

 
$
65.69

 

 
$
162

 
 
 
 
 
 
 
 
Exercisable at December 31, 2019
3,267,111

 
$
63.57

 

 
$
154


Significant Assumptions Used to Calculate Grant Date Fair Market Values of Options Granted
The following table provides the significant assumptions used to calculate the grant-date fair values of options granted over the years shown below, as calculated using the Black-Scholes-Merton option-pricing model:
 
 
2019

 
2018
 
2017
 
 
 
 
 
 
Risk-free interest rate
2.68
%
 
2.81
 
2.28
Dividend yield
3.70
%
 
2.80
 
2.90
Volatility factor
25.61
%
 
25.41
 
26.91
Expected life (years)
7.06

 
7.18
 
7.22

Summary of Stock Unit Activity
The following table summarizes our RSU activity from January 1, 2019, to December 31, 2019:

 
 
 
 
 
Millions of Dollars

 
Stock Units

 
Weighted-Average
Grant-Date
Fair Value

 
Total Fair Value

 
 
 
 
 
 
Outstanding at January 1, 2019
2,259,829

 
$
84.52

 
 
Granted
1,001,899

 
95.16

 
 
Forfeited
(50,192
)
 
95.21

 
 
Issued
(836,952
)
 
79.73

 
$
80

Outstanding at December 31, 2019
2,374,584

 
$
90.47

 
 
 
 
 
 
 
 
Not Vested at December 31, 2019
1,619,720

 
$
91.04

 
 

Summary of Performance Share Program Activity
The following table summarizes our PSU activity from January 1, 2019, to December 31, 2019:
 
 
 
 
 
 
Millions of Dollars

 
Performance
Share Units

 
Weighted-Average
Grant-Date 
Fair Value

 
Total Fair Value

 
 
 
 
 
 
Outstanding at January 1, 2019
1,902,502

 
$
49.52

 

Granted
287,914

 
87.42

 

Forfeited

 

 

Issued
(461,942
)
 
59.12

 
$
44

Cash settled
(287,914
)
 
87.42

 
25

Outstanding at December 31, 2019
1,440,560

 
$
46.44

 
 
 
 
 
 
 
 
Not Vested at December 31, 2019
73,271

 
$
69.63