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Stock-Based Compensation
6 Months Ended
Jun. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-based compensation
 
Accounting for stock-based compensation requires that the cost resulting from all stock-based payments be recognized in the financial statements based on the grant date fair value of the award.  Our stock-based compensation consists of stock options, restricted stock units (RSUs) and performance-based restricted stock units (PRSUs).

We recognized pretax stock-based compensation expense of $74 million and $118 million for the three and six months ended June 30, 2023, respectively, and $67 million and $107 million for the three and six months ended June 30, 2022, respectively.

The following table illustrates the type and fair value of the stock-based compensation awards granted during the six months ended June 30, 2023 and 2022, respectively:

 Six Months Ended June 30, 2023Six Months Ended June 30, 2022
 Shares GrantedWeighted-Average Fair Value Per ShareWeighted-Average Grant Date Stock PriceShares GrantedWeighted-Average Fair Value Per ShareWeighted-Average Grant Date Stock Price
Stock options777,275 $75.79 $253.98 1,029,202 $51.69 $196.70 
RSUs379,426 $253.98 $253.98 484,025 $196.70 $196.70 
PRSUs221,869 $253.98 $253.98 258,900 $196.70 $196.70 
 
The following table provides the assumptions used in determining the fair value of the stock-based awards for the six months ended June 30, 2023 and 2022, respectively:
 
 Grant Year
 20232022
Weighted-average dividend yield2.60%2.60%
Weighted-average volatility31.0%31.7%
Range of volatilities
28.5% - 35.5%
25.3% - 36.8%
Range of risk-free interest rates
3.92% - 5.03%
1.03% - 2.00%
Weighted-average expected lives7 years8 years
 
As of June 30, 2023, the total remaining unrecognized compensation expense related to nonvested stock-based compensation awards was $229 million, which will be amortized over the weighted-average remaining requisite service periods of approximately 1.8 years.