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Share-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Schedule of Share-Based Compensation and Related Income Tax Benefit Total pre-tax expense and income tax benefits associated with share-based compensation are shown in the table below. Income tax benefits include impacts from option exercises and the vesting of other equity awards.

 
Second Quarters
 
Six Months
(Dollars in millions)
2019
2018
 
2019
2018
 
 
 
 
 
 
Share-Based Compensation Expense:
 
 
 
 
 
Performance Units
$
9

$
8

 
$
15

$
14

Stock Options
5

2

 
7

6

Restricted Stock Units and Awards
2

2

 
4

3

Stock Awards for Directors


 
2

2

Employee Stock Purchase Plan
1


 
2


Total Share-Based Compensation Expense
$
17

$
12

 
$
30

$
25

Income Tax Benefit
$
7

$
9

 
$
35

$
17



Schedule of Weighted Average Assumptions The fair values of the performance units awarded during the six months 2019 and 2018 were calculated using a Monte-Carlo simulation model with the following weighted-average assumptions:

 
 
Six Months
 
 
2019
2018
Weighted-average assumptions used:
 
 
 
Annual dividend yield
 
1.4
%
1.6
%
Risk-free interest rate
 
2.5
%
2.3
%
Annualized volatility
 
27.6
%
29.2
%
Expected life (in years)
 
2.9

2.9


Schedule of Fair Value Assumptions for Stock Option Awards
The fair values of all stock option awards during the quarters and six months ended June 30, 2019 and June 30, 2018 were estimated at the grant date with the following weighted average assumptions:
 
Second Quarters
 
Six Months
 
2019
2018
 
2019
2018
Weighted-average grant-date fair value
$
20.51

$
17.62

 
$
18.00

$
14.64

 
 
 
 
 
 
Stock options valuation assumptions:
 
 
 
 
 
Annual dividend yield
1.2
%
1.3
%
 
1.3
%
1.5
%
Risk-free interest rate
2.4
%
2.8
%
 
2.5
%
2.6
%
Annualized volatility
25.4
%
25.8
%
 
25.7
%
27.0
%
Expected life (in years)
6.5

6.5

 
6.1

6.5

 
 
 
 
 
 
Other pricing model inputs:
 
 
 
 
 
Weighted-average grant-date market price of CSX stock (strike price)
$
78.58

$
65.44

 
$
69.97

$
54.14