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Stock-Based Compensation
 9 Months Ended
Sep. 30, 2020
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 primarily consists of stock options, restricted stock units (RSUs) and performance-based restricted stock units (PRSUs).

We recognized pretax stock-based compensation expense of $58 million and $169 million for the three and nine months ended September 30, 2021, respectively, and $55 million and $169 million for the three and nine months ended September 30, 2020, respectively.
The following table illustrates the type and fair value of the stock-based compensation awards granted during the nine months ended September 30, 2021 and 2020, respectively:

 Nine Months Ended September 30, 2021Nine Months Ended September 30, 2020
 Shares GrantedWeighted-Average Fair Value Per ShareWeighted-Average Grant Date Stock PriceShares GrantedWeighted-Average Fair Value Per ShareWeighted-Average Grant Date Stock Price
Stock options1,084,821 $56.30 $219.76 1,913,888 $25.98 $127.60 
RSUs448,311 $219.76 $219.76 705,287 $127.60 $127.60 
PRSUs266,894 $219.76 $219.76 371,641 $127.60 $127.60 
 
The following table provides the assumptions used in determining the fair value of the stock-based awards for the nine months ended September 30, 2021 and 2020, respectively:
 
 Grant Year
 20212020
Weighted-average dividend yield2.60%2.47%
Weighted-average volatility32.9%25.7%
Range of volatilities
29.2% - 45.8%
24.5% - 29.7%
Range of risk-free interest rates
0.06% - 1.41%
1.21% - 1.39%
Weighted-average expected lives8 years8 years
 
As of September 30, 2021, the total remaining unrecognized compensation expense related to nonvested stock-based compensation awards was $175 million, which will be amortized over the weighted-average remaining requisite service periods of approximately 1.9 years.