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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement, Noncash Expense [Abstract]  
Schedule of weighted-average fair value of options, assumptions used
The weighted-average fair value of options granted was estimated at $15.92, $13.54 and $13.56, in 2020, 2019 and 2018, respectively, per option on the date of grant based on the following assumptions:
Year Ended December 31
202020192018
Dividend yield3.3 %3.3 %3.9 %
Volatility21.9 %17.0 %20.8 %
Risk-free interest rate0.3 %2.3 %2.8 %
Expected life - years4.54.64.6
Schedule of total remaining unrecognized compensation costs and amortization period
Total remaining unrecognized compensation costs and amortization period are as follows:
December 31, 2020Weighted-Average
Service Years
Stock options$15 1.3
Restricted shares and time-vested restricted share units12 1.5
Performance-based restricted share units82 1.8
Summary of stock-based compensation
A summary of stock-based compensation is presented below:
Stock OptionsShares
(in thousands)
Weighted-Average
Exercise Price
Weighted-Average
Remaining Contractual Term
Aggregate Intrinsic
Value
Outstanding at January 1, 20205,892 $115.26 
Granted1,568 139.18 
Exercised(1,909)113.58 
Forfeited or expired(160)124.97 
Outstanding at December 31, 20205,391 123.14 7.75$70 
Exercisable at December 31, 20202,813 116.94 5.34$50 
Summary of nonvested restricted share units
Time-Vested
Restricted Share Units
Performance-Based
Restricted Share Units
Other Stock-Based AwardsShares
(in thousands)
Weighted-
Average
Grant-Date
Fair Value
Shares
(in thousands)
Weighted-
Average
Grant-Date
Fair Value
Nonvested at January 1, 2020156 $123.15 1,584 $118.71 
Granted123 134.31 623 134.81 
Vested(83)122.07 (370)124.41 
Forfeited(14)122.14 (300)128.52 
Nonvested at December 31, 2020182 130.91 1,537 122.56