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Share-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2020
Equity [Abstract]  
Summary of Stock Options
The following is a summary of our stock option activity:
Number of Options
(in thousands)
Weighted Average
Exercise Price per
Option
Outstanding at December 31, 2019
3,501 $51.87 
Granted
413 92.63 
Exercised
(592)43.11 
Forfeited
(13)67.00 
Outstanding at September 30, 2020
3,309 58.48 
Details of Stock Options Outstanding
Details of stock options outstanding as of September 30, 2020 were as follows:
Number of Options
(in thousands)
Weighted Average
Exercise Price
Weighted Average
Remaining
Contractual Life
(Years)
Aggregate
Intrinsic
Value
(In millions)
Vested or expected to vest
3,309$58.486.1$138
Exercisable
2,407$49.625.1$121
Details of stock options exercised are as follows:
Nine Months Ended September 30,Three Months Ended September 30,
Options exercised:2020201920202019
Total intrinsic value of options exercised (in millions)
$29 $25$$7
Stock Options Valuation Assumptions During the nine months ended September 30, 2020 and 2019, we used the assumptions in the table below to compute the value:
Nine Months Ended September 30,
Assumptions:20202019
Risk-free interest rate
1.46%2.49%
Expected life in years
5.85.9
Expected volatility
20%20%
Expected dividend yield
1.30%1.44%
Estimated weighted-average fair value of options granted per share
$16.65$15.45
Summary of Nonvested Restricted Stock Options
The following is a summary of nonvested restricted shares under all plans discussed above for the nine months ended September 30, 2020:  
Number of
Restricted
Shares
(in thousands)
Weighted Average
Grant-Date Fair
Value per Share
Nonvested at December 31, 2019
3,728$68.87 
Granted
1,46493.18 
Vested
(1,986)64.94 
Forfeited
(83)77.04 
Nonvested at September 30, 2020
3,12382.55 
Nine Months Ended September 30,
20202019
Time-based restricted stock units granted
(in thousands)
(1)
891975
Total fair value of restricted stock vested under all restricted stock plans
(in millions)
$180$166
(1) The remaining shares granted are performance-based.