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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2021
Share-based Payment Arrangement [Abstract]  
Summary of Expense Related to Share-Based Payments
The table below summarizes the expense related to share-based payments recognized in the three months ended March 31 (in thousands):

 
 Three Months Ended
March 31,
 20212020
Stock options$4,590 $7,020 
Restricted stock13,157 7,155 
Stock-based compensation$17,747 $14,175 
Summary of Total Unrecognized Compensation Cost Related to Stock-Based Compensation
The following table summarizes the Company’s total unrecognized compensation cost related to stock-based compensation as of March 31, 2021 (cost in thousands):
Unrecognized
Compensation
Cost
Weighted Average
Period of Expense
Recognition
(in Years)
Stock options$41,503 2.53
Restricted stock64,380 2.34
Total$105,883 
Summary of Changes in Number of Shares of Common Stock Under Option The following summarizes the changes in the number of shares of common stock under option for the three months ended March 31, 2021 (shares/options and aggregate intrinsic value in thousands):
SharesWeighted
Average
Exercise
Price
Options
Exercisable
at End of
Period
Weighted
Average
Exercise
Price of
Exercisable
Options
Weighted
Average Fair
Value of
Options
Granted 
During the Period
Aggregate
Intrinsic
Value
Outstanding at December 31, 20204,964 $146.69 3,994 $130.37 $626,107 
Granted164 264.85 $73.15 
Exercised(283)94.72 49,124 
Forfeited— — 
Outstanding at March 31, 20214,845 $153.72 3,801 $134.85 $556,757 
Expected to vest as of March 31, 20211,044 $222.43 
Schedule of Weighted-Average Assumptions
The fair value of stock option awards granted was estimated using the Black-Scholes option pricing model with the following weighted-average assumptions for grants or modifications during the three months ended March 31, 2021 and 2020:
 March 31,
 20212020
Risk-free interest rate0.35 %0.41 %
Dividend yield— — 
Expected volatility34.66 %30.29 %
Expected life (in years)4.03.8
Summary of Changes in Number of Shares of Restricted Stock and Restricted Stock Units The following table summarizes the changes in the number of shares of restricted stock and restricted stock units for the three months ended March 31, 2021 (shares in thousands): 
SharesWeighted
Average
Grant Date
Fair Value
Outstanding at December 31, 2020174 $265.29 
Granted200 272.68 
Vested(29)267.88 
Canceled or forfeited(23)288.54 
Outstanding at March 31, 2021322 $268.02