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Equity Incentive Program (Tables)
9 Months Ended
Sep. 30, 2022
Share-Based Payment Arrangement, Noncash Expense [Abstract]  
Assumptions Used in Determining the Fair Value
The assumptions used in determining the fair value of the SARs awarded during the respective periods were as follows:
SARs
 20222021
Risk-free interest rate1.86 %0.59 %
Dividend yield1.25 %1.62 %
Expected life (years)5.45.5
Volatility29.46 %30.49 %
Grant price
$160.21$122.73
Fair value per share at date of grant
$42.07$29.08
The assumptions used in determining the fair value of the performance shares granted in the respective periods were as follows:
Performance Shares
20222021
Risk-free interest rate1.68 %0.19 %
Dividend yield1.25 %1.62 %
Expected life (years)2.92.9
Volatility31.10 %31.90 %
Grant price$160.21$122.73
Fair value per share at date of grant$196.40$148.29
Stock-based Incentive Plans Compensation Expense The following table summarizes the Company’s compensation expense relating to all stock-based incentive plans:
 Three Months Ended September 30,Nine Months Ended September 30,
 2022202120222021
Pre-tax stock-based compensation expense$6,326 $6,660 $24,657 $25,053 
Tax benefit(591)(576)(2,437)(2,357)
Total stock-based compensation expense, net of tax$5,735 $6,084 $22,220 $22,696