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Stock-Based Compensation Plans (Tables)
9 Months Ended
Sep. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Schedule of Stock Option Activity
A summary of the Company’s stock option (including SARs) activity for the nine month period ended September 30, 2023 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Exercise Price (per share)
Stock options outstanding as of December 31, 20226,383 $25.22 
Granted756 58.04 
Exercised or settled(1,245)17.96 
Forfeited(160)49.91 
Expired(3)34.77 
Stock options outstanding as of September 30, 20235,731 30.43 
Vested as of September 30, 20234,025 22.09 
Schedule of Stock Option Fair Value Assumptions
The following assumptions were used to estimate the fair value of options granted during the nine month periods ended September 30, 2023 and 2022 using the Black-Scholes option-pricing model.
For the Nine Month Period Ended September 30,
Assumptions20232022
Expected life of options (in years)
6.3 - 7.5
6.3
Risk-free interest rate
3.8% - 4.4%
1.9% - 3.1%
Assumed volatility
36.0% - 36.6%
37.1% - 38.3%
Expected dividend rate0.1 %0.2 %
Schedule of Restricted Stock Unit Activity A summary of the Company’s restricted stock unit activity for the nine month period ended September 30, 2023 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 20221,005 $43.50 
Granted446 59.15 
Vested(353)37.52 
Forfeited(94)51.31 
Non-vested as of September 30, 20231,004 51.82 
Schedule of Performance Stock Unit Activity
A summary of the Company’s performance stock unit activity for the nine month period ended September 30, 2023 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 20221,539 $44.99 
Granted149 75.52 
Change in units based on performance222 29.72 
Vested(444)29.72 
Forfeited(86)64.42 
Non-vested as of September 30, 20231,380 49.53 
Schedule of Performance Share Units Fair Value Assumptions
The following assumptions were used to estimate the fair value of performance share units granted during the nine month periods ended September 30, 2023 and 2022 using the Monte Carlo simulation pricing model.
For the Nine Month Period Ended September 30,
Assumptions20232022
Expected term (in years)
2.9
2.9
Risk-free interest rate
4.4%
1.7 %
Assumed volatility
31.8%
36.4 %
Expected dividend rate0.1 %0.2 %