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Share-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2021
Share-based Payment Arrangement [Abstract]  
Share based compensation The effect of share-based compensation expense on our consolidated statements of income and comprehensive income by line-item follows:
Year Ended December 31,
(in millions)202120202019
Selling, general and administrative expense$85.8 $66.3 $49.5 
Research and development expense48.4 33.7 25.8 
Total share-based compensation expense$134.2 $100.0 $75.3 
Share-based compensation expense by award-type follows:
Year Ended December 31,
(in millions)202120202019
Stock options$60.5 $47.5 $36.5 
RSUs62.5 44.2 30.5 
PRSUs7.6 5.3 5.6 
ESPP3.6 3.0 2.7 
Total share-based compensation expense$134.2 $100.0 $75.3 
As of December 31, 2021, unrecognized share-based compensation expense by award-type and the weighted-average period over which such expense is expected to be recognized, as applicable, were as follows:
(dollars in millions)Unrecognized ExpenseWeighted-Average Recognition Period
Stock options$101.7 2.5 years
RSUs$150.5 2.2 years
Weighted-average assumptions for stock option grants using black-scholes option-pricing model
The fair value of each stock option granted was estimated on the date of grant using the Black-Scholes option-pricing valuation model with the following weighted-average assumptions:
Year Ended December 31,
202120202019
Risk-free interest rate0.6 %1.4 %2.4 %
Expected volatility of common stock45.9 %48.5 %54.8 %
Dividend yield0.0 %0.0 %0.0 %
Expected option term5.2 years5.3 years5.4 years
Summary and changes in stock options outstanding
A summary of activity related to stock options follows:
(in millions, except weighted average data)Number of
Stock Options
Weighted
Average
Exercise Price
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Outstanding at December 31, 2020
6.8 $62.98 
Granted1.8 $110.74 
Exercised(0.7)$28.02 
Canceled(0.2)$103.30 
Outstanding at December 31, 2021
7.7 $76.38 6.5 years$136.4 
Exercisable at December 31, 2021
5.2 $63.53 5.5 years$134.7 
Summary and changes in restricted stock units outstanding
A summary of activity related to RSUs follows:
(in millions, except weighted average data)Number of
RSUs
Weighted-Average Grant Date
Fair Value
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Unvested at December 31, 2020
1.5 $89.60 
Granted (1)
1.2 $104.95 
Released(0.6)$82.22 
Canceled(0.1)$101.71 
Unvested at December 31, 2021
2.0 $99.96 1.3 years$174.1 
_________________________
(1) In August 2021, our board of directors approved an equity grant of approximately 0.5 million RSUs, which will vest over a 2-year period, to our full-time employees other than our executive officers.
A summary of activity related to PRSUs follows:
(in millions, except weighted average data)Number of
PRSUs
Weighted-Average Grant Date
Fair Value
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Unvested at December 31, 2020
0.2 $102.90 
Granted0.2 $114.68 
Unvested at December 31, 2021
0.4 $109.31 1.2 years$30.9