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Stock-Based Compensation
9 Months Ended
Sep. 30, 2020
Share-based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
The Company has Stock Incentive Plans (the "Plans") pursuant to which the Company’s Board of Directors may grant stock options or restricted stock to employees.
The table below summarizes the expense related to share-based payments recognized in the three and nine months ended September 30, 2020 (in thousands): 
 Three Months Ended
September 30,
Nine Months Ended
September 30,
 2020201920202019
Stock options$5,294 $7,038 $18,069 $26,901 
Restricted stock6,610 8,235 16,999 19,219 
Stock-based compensation$11,904 $15,273 $35,069 $46,120 
The tax benefits recorded on stock based compensation were $52.1 million and $36.8 million for the nine months ended September 30, 2020 and 2019, respectively.
The following table summarizes the Company’s total unrecognized compensation cost related to stock-based compensation as of September 30, 2020 (cost in thousands):
Unrecognized
Compensation
Cost
Weighted Average
Period of Expense
Recognition
(in Years)
Stock options$39,576 1.90
Restricted stock33,479 2.07
Total$73,055 

Stock Options
Stock options are granted with an exercise price estimated to be equal to the fair market value on the date of grant as authorized by the Company’s Board of Directors. Options granted have vesting provisions ranging from one to five years and vesting of the options is generally based on the passage of time or performance. Stock option grants are subject to forfeiture if employment terminates prior to vesting.

The following summarizes the changes in the number of shares of common stock under option for the nine months ended September 30, 2020 (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, 20196,263 $124.38 5,137 $109.03 $1,022,860 
Granted488 214.31 $52.76 
Exercised(1,240)86.52 188,010 
Forfeited(122)192.81 
Outstanding at September 30, 20205,389 $139.73 4,135 $121.04 $530,017 
Expected to vest as of September 30, 20201,253 $201.40 
The aggregate intrinsic value of stock options exercisable at September 30, 2020 was $484.0 million. The weighted average remaining contractual term of options exercisable at September 30, 2020 was 4.6 years.
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 nine months ended September 30, 2020 and 2019:
 September 30,
 20202019
Risk-free interest rate0.38 %2.40 %
Dividend yield— — 
Expected volatility30.91 %26.41 %
Expected life (in years)3.93.7
Restricted Stock
Awards of restricted stock and restricted stock units are independent of stock option grants and are subject to forfeiture if employment terminates prior to vesting. The vesting of shares granted is generally based on the passage of time, performance or market conditions, or a combination of these. Shares vesting based on the passage of time have vesting provisions of one to four years.

The fair value of restricted stock units granted with market based vesting conditions was estimated using the Monte Carlo simulation valuation model with the following assumptions during 2019. There were no restricted stock shares granted with market based vesting conditions during the first nine months of 2020.
    2019
Risk-free interest rate1.48%
Dividend yield
Expected volatility25.40%
Expected life (in years)2.36

The following table summarizes the changes in the number of shares of restricted stock and restricted stock units for the nine months ended September 30, 2020 (shares in thousands): 
SharesWeighted
Average
Grant Date
Fair Value
Outstanding at December 31, 2019243 $246.34 
Granted171 259.35 
Vested(130)223.48 
Canceled or forfeited(97)256.92 
Outstanding at September 30, 2020187 $261.94