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Stock-based Compensation (Tables)
3 Months Ended
Mar. 31, 2020
Stock-based compensation [Abstract]  
Stock-Based Compensation

Information regarding stock-based compensation appears in the table below:

Millions,

for the Three Months Ended March 31,

2020

2019

Stock-based compensation, before tax:

Stock options

$

4 

$

5 

Retention awards

18 

22 

Total stock-based compensation, before tax

$

22 

$

27 

Excess tax benefits from equity compensation plans

$

33 

$

39 

Stock Options Weight Average Assumptions The table below shows the annual weighted-average assumptions used for valuation purposes:

Weighted-Average Assumptions

2020

2019

Risk-free interest rate

1.5%

2.5%

Dividend yield

2.1%

2.2%

Expected life (years)

4.9 

5.2 

Volatility

23.4%

22.7%

Weighted-average grant-date fair value of options granted

$

32.20 

$

30.37 

 

Stock Options Activity A summary of stock option activity during the three months ended March 31, 2020, is presented below:

Options (thous.)

Weighted-Average
Exercise Price

Weighted-Average Remaining Contractual Term

Aggregate Intrinsic Value (millions)

Outstanding at January 1, 2020

3,502 

$

113.38 

6.1 

yrs.

$

236 

Granted

558 

176.63 

N/A

N/A

Exercised

(602)

101.15 

N/A

N/A

Forfeited or expired

(6)

142.54 

N/A

N/A

Outstanding at March 31, 2020

3,452 

$

125.69 

6.6 

yrs.

$

85 

Vested or expected to vest at March 31, 2020

3,418 

$

125.31 

6.6 

yrs.

$

85 

Options exercisable at March 31, 2020

2,306 

$

108.27 

5.5 

yrs.

$

79 

 

Stock Option Exercises Additional information regarding stock option exercises appears in the following table:

Millions,

for the Three Months Ended March 31,

2020

2019

Intrinsic value of stock options exercised

$

48 

$

138 

Cash received from option exercises

33 

72 

Treasury shares repurchased for employee taxes

(8)

(22)

Tax benefit realized from option exercises

11 

34 

Aggregate grant-date fair value of stock options vested

14 

15 

 

Retention Awards Activity Changes in our retention awards during the three months ended March 31, 2020, were as follows:

Shares
(thous.)

Weighted-Average
Grant-Date Fair Value

Nonvested at January 1, 2020

1,898 

$

112.12 

Granted

304 

185.97 

Vested

(608)

75.89 

Forfeited

(22)

134.81 

Nonvested at March 31, 2020

1,572 

$

140.10 

 

Performance Retention Awards Present Value Calculation Assumptions The assumptions used to calculate the present value of estimated future dividends related to the February 2020 grant were as follows:

2020

Dividend per share per quarter

$

0.97 

Risk-free interest rate at date of grant

1.4%

 

Performance Based Units Activity Changes in our performance retention awards during the three months ended March 31, 2020, were as follows:

Shares
(thous.)

Weighted-Average
Grant-Date Fair Value

Nonvested at January 1, 2020

929 

$

123.32 

Granted

287 

166.63 

Vested

(336)

102.58 

Unearned

(8)

150.42 

Forfeited

(32)

138.71 

Nonvested at March 31, 2020

840 

$

145.57