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Stock-based Compensation (Tables)
3 Months Ended
Mar. 31, 2021
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,

2021

2020 

Stock-based compensation, before tax:

Stock options

$

4 

$

4 

Retention awards

16 

18 

Total stock-based compensation, before tax

$

20 

$

22 

Excess tax benefits from equity compensation plans

$

15 

$

33 

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

Weighted-Average Assumptions

2021

2020 

Risk-free interest rate

0.4%

1.5%

Dividend yield

1.9%

2.1%

Expected life (years)

4.6 

4.9 

Volatility

28.3%

23.4%

Weighted-average grant-date fair value of options granted

$

39.97 

$

32.20 

 

Stock Options Activity A summary of stock option activity during the three months ended March 31, 2021, is presented below:

Options (thous.)

Weighted-Average
Exercise Price

Weighted-Average Remaining Contractual Term

Aggregate Intrinsic Value (millions)

Outstanding at January 1, 2021

2,569 

$

132.49 

6.4 

yrs.

$

195 

Granted

387 

204.45 

N/A

N/A

Exercised

(252)

122.76 

N/A

N/A

Forfeited or expired

(34)

136.24 

N/A

N/A

Outstanding at March 31, 2021

2,670 

$

143.79 

6.7 

yrs.

$

204 

Vested or expected to vest at March 31, 2021

2,644 

$

143.51 

6.7 

yrs.

$

203 

Options exercisable at March 31, 2021

1,814 

$

123.73 

5.6 

yrs.

$

175 

 

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

Millions,

for the Three Months Ended March 31,

2021

2020 

Intrinsic value of stock options exercised

$

23 

$

48 

Cash received from option exercises

30 

33 

Treasury shares repurchased for employee taxes

(6)

(8)

Tax benefit realized from option exercises

4 

11 

Aggregate grant-date fair value of stock options vested

14 

14 

 

Retention Awards Activity Changes in our retention awards during the three months ended March 31, 2021, were as follows:

Shares
(thous.)

Weighted-Average
Grant-Date Fair Value

Nonvested at January 1, 2021

1,476 

$

141.06 

Granted

279 

204.55 

Vested

(409)

107.82 

Forfeited

(16)

156.98 

Nonvested at March 31, 2021

1,330 

$

164.41 

 

Performance Based Units Activity

Changes in our performance retention awards during the three months ended March 31, 2021, were as follows:

Shares
(thous.)

Weighted-Average
Grant-Date Fair Value

Nonvested at January 1, 2021

773 

$

148.17 

Granted

227 

204.45 

Vested

(140)

129.60 

Unearned

(150)

128.78 

Forfeited

(13)

185.87 

Nonvested at March 31, 2021

697 

$

173.70