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Stock-based Compensation (Tables)
9 Months Ended
Sep. 30, 2020
Stock-based compensation [Abstract]  
Stock-Based Compensation

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

Three Months Ended

Nine Months Ended

September 30,

September 30,

Millions

2020

2019

2020

2019

Stock-based compensation, before tax:

Stock options

$

4 

$

5 

$

12 

$

14 

Retention awards

13 

19 

45 

61 

Total stock-based compensation, before tax

$

17 

$

24 

$

57 

$

75 

Excess tax benefits from equity compensation plans

$

16 

$

3 

$

51 

$

48 

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 nine months ended September 30, 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

(1,271)

101.56 

N/A

N/A

Forfeited or expired

(38)

161.13 

N/A

N/A

Outstanding at September 30, 2020

2,751 

$

131.01 

6.6 

yrs.

$

181 

Vested or expected to vest at September 30, 2020

2,718 

$

130.61 

6.6 

yrs.

$

180 

Options exercisable at September 30, 2020

1,637 

$

110.85 

5.4 

yrs.

$

141 

 

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

Three Months Ended

Nine Months Ended

September 30,

September 30,

Millions

2020 

2019 

2020 

2019 

Intrinsic value of stock options exercised

$

40 

$

10 

$

105 

$

174 

Cash received from option exercises

29 

10 

80 

108 

Treasury shares repurchased for employee taxes

(8)

(3)

(20)

(32)

Tax benefit realized from option exercises

11 

3 

25 

43 

Aggregate grant-date fair value of stock options vested

-

-

14 

15 

 

Retention Awards Activity Changes in our retention awards during the nine months ended September 30, 2020, were as follows:

Shares
(thous.)

Weighted-Average
Grant-Date Fair Value

Nonvested at January 1, 2020

1,898 

$

112.12 

Granted

305 

185.99 

Vested

(634)

76.89 

Forfeited

(68)

140.94 

Nonvested at September 30, 2020

1,501 

$

140.71 

 

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 nine months ended September 30, 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

(339)

102.79 

Unearned

(8)

150.42 

Forfeited

(55)

143.12 

Nonvested at September 30, 2020

814 

$

145.54