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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2019
Share-based Payment Arrangement [Abstract]  
Schedule of Stock-based Compensation Expense
The components of the Company’s stock-based compensation expense for the nine months ended September 30, 2019 and 2018 are as follows:
Nine Months Ended September 30,
20192018
(in thousands) 
Stock options$1,970  $2,231  
Restricted stock and restricted stock units2,980  1,943  
Employee Stock Purchase Plan518  432  
Total pre-tax stock-based compensation expense charged against income 1
$5,468  $4,606  
1.Stock-based compensation expense is recorded in cost of services and selling, general and administrative expense in the Company’s Consolidated Statements of Comprehensive Income.
Summary of Other Information of Stock Option Plans
A summary of stock options outstanding under the Plan as of December 31, 2018 and changes during the nine months ended September 30, 2019 is as follows:
Stock Options Outstanding
Number of SharesWeighted Average Exercise Price
(in thousands) 
December 31, 20182,121  $31.53  
Granted188  $40.49  
Exercised(127) $24.44  
Forfeited(20) $36.50  
Expired(13) $31.00  
September 30, 20192,149  $32.69  
Assumption For Fair Value of Options Granted
The fair value of stock option awards granted in 2019 and 2018 was estimated on the date of grant using the Black-Scholes option valuation model with the following assumptions:
Nine Months Ended September 30,
20192018
Risk-free interest rate2.5 %2.1 %
Weighted average expected life5.7 years5.8 years
Expected volatility22.6 %21.4 %
Dividend yield1.9 %1.5 %
Summarized Information of Stock Options Outstanding
The following table summarizes other information about the stock options at September 30, 2019:
September 30, 2019
(amounts in thousands, except per share data)
Outstanding:
Aggregate intrinsic value$2,449  
Weighted average remaining contractual life5.6 years
Exercisable:
Number of options1,295  
Weighted average exercise price$28.09  
Aggregate intrinsic value$2,448  
Weighted average remaining contractual life4.4 years
Summary of Outstanding Restricted Stock Units and Restricted Stock
A summary of the outstanding restricted stock units and restricted stock as of December 31, 2018 and changes during the nine months ended September 30, 2019 is as follows:
Restricted Stock Units and Restricted Stock
NumberWeighted Average Grant Date Fair Value
(in thousands) 
December 31, 2018241  $45.47  
Granted194  $40.49  
Vested(61) $43.04  
Forfeited(10) $44.62  
September 30, 2019364  $43.25  
Options Granted Estimated Expense Valuation Assumptions
The expense associated with the options granted under the ESPP during the nine months ended September 30, 2019 and 2018 was estimated on the date of grant using the Black-Scholes option valuation model with the following assumptions:

Nine Months Ended September 30,
20192018
Risk-free interest rate2.57%  1.89%  
Weighted average expected life (years)1.01.0
Expected volatility30.8%  20.8%  
Dividend yield1.9%  1.4%  
Summary of ESPP Annual Offerings
The following table summarizes information about the SERP during the nine months ended September 30, 2019 and 2018:
Nine Months Ended September 30,
 20192018
(in thousands) 
SERP expense 1
$497  $490  
Unrealized gain recorded in SERP liability account$4,964  $2,692  
1.Both the SERP match and the deferrals are included in the selling, general and administrative caption in the Consolidated Statements of Comprehensive Income.