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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2019
Share-based Payment Arrangement [Abstract]  
Stock-Based Compensation Expense
Total stock-based compensation expense in the Company’s Consolidated Statements of Income related to the Company’s long- term incentive award plans was as follows (in thousands):
Years ended December 31,
201920182017
Cost of services-compensation$8,887  $7,421  $7,354  
Selling, general and administrative13,014  14,086  16,789  
Total$21,901  $21,507  $24,143  
Stock Option Activity
Presented below is a summary of stock option activity for the year ended December 31, 2019 (in thousands, except for weighted average exercise price and weighted average remaining contractual terms):
Number of OptionsWeighted
Average
Exercise
Price
Weighted
Average- Remaining
Contractual
Terms
Aggregate-
Intrinsic
Value
Outstanding balance at December 31, 20184,402  $17.07  
Granted640  38.61  
Exercised(2,436) 16.20  
Forfeitures(187) 21.21  
Expired(8) 23.59  
Outstanding balance at December 31, 20192,411  23.43  7.28$20,242  
Expected to vest at December 31, 20191,070  $28.20  8.5$5,979  
Exercisable at December 31, 2019968  $17.08  5.6$12,121  
Fair Value of Stock Option Grants Using a Black-Scholes Option Pricing Model
HMS estimated the fair value of each stock option grant on the date of grant using a Black-Scholes option pricing model. Weighted–average assumptions are set forth in the following table:
Year ended December 31, 2019
201920182017
Expected dividend yield— %— %— %
Risk-free interest rate2.5 %2.7 %1.8 %
Expected volatility41.1 %42.4 %44.2 %
Expected life (years)6.46.05.0
Fair Value of Stock Option Grants Using a Monte-Carlo Simulation Model Assumptions are set forth in the following table:
Year ended December 31,
201920182017
Expected dividend yield— %— %— %
Risk-free interest rate— %— %2.2 %
Expected volatility— %— %52.5 %
Expected life (years)006.5
Summary of Restricted Stock Units Activity
Presented below is a summary of restricted stock units activity for the year ended December 31, 2019 (in thousands, except for weighted average grant date fair value per unit):

Number of Units
Weighted Average
Grant Date Fair
Value per Unit
Outstanding balance at December 31, 20181,488  $17.60  
Granted487  34.02  
Vesting of restricted stock units, net of units withheld for taxes(406) 16.65  
Units withheld for taxes(201) 16.65  
Forfeitures(129) 21.32  
Outstanding balance at December 31, 20191,239  $21.37