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Stock-Based Compensation
9 Months Ended
Sep. 30, 2022
Share-Based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
 
The following table summarizes the components of stock-based compensation expense included in general and administrative expenses in the Consolidated Statements of Comprehensive Income:
Three Months Ended September 30,Nine Months Ended September 30,
 2022202120222021
Total stock-based compensation expense:(In millions)
Equity classified awards expense
$3.8 $3.0 $12.2 $8.6 
Liability classified awards expense0.3 0.2 1.7 2.2 
Total pre-tax stock-based compensation expense4.1 3.2 13.9 10.8 
Book income tax benefit(1.1)(0.8)(3.5)(2.7)
Total stock-based compensation expense, net of tax$3.0 $2.4 $10.4 $8.1 
 
As of September 30, 2022, total unrecognized compensation expense of $19.7 million related to restricted stock and restricted stock units and $3.3 million related to stock options are expected to be recognized over a weighted average period of 1.5 years for restricted stock and restricted stock units and 1.5 years for stock options.
Fair Value Assumptions

The following table summarizes the assumptions used in the Black-Scholes model for stock options granted during the nine months ended September 30, 2022.

Risk-free interest rate1.7 %
Historical volatility70.1 %
Dividend yield2.6 %
Expected years until exercise4.5
Fair value of options granted$33.23


Equity Classified Awards - Stock Options

Stock option balances at September 30, 2022, and activity for the nine months ended September 30, 2022 were as follows:
 SharesWeighted
Average
Exercise
Price
Weighted Average
Remaining
Contractual Term
(in Years)
Aggregate
Intrinsic
Value (in Millions)
Outstanding at December 31, 2021475,904 $76.65   
Granted75,795 70.08   
Exercised(3,505)68.80   
Expired(2,448)94.43 
Forfeited(6,171)81.13   
Outstanding at September 30, 2022539,575 75.65 6.2$1.3 
Vested at September 30, 2022 and Expected to Vest524,475 75.73 6.1$1.3 
Exercisable at September 30, 2022378,811 $75.95 5.1$1.2 

The aggregate intrinsic value in the table above represents the total pre-tax intrinsic value (the difference between the closing stock price of the Company’s common stock on the last trading day of the third quarter of 2022 and the exercise price, multiplied by the number of in-the-money options) that would have been received by the option holders had all option holders exercised their options on September 30, 2022. The aggregate intrinsic value will change based on the fair market value of the Company’s common stock and the number of in-the-money options.


Equity Classified Awards - Restricted Stock and Restricted Stock Units

Outstanding balances as of September 30, 2022, and activity related to restricted stock and restricted stock units for the nine months ended September 30, 2022 were as follows:
 Restricted
Stock
Weighted
Average
Grant Date
Fair Value
Stock-Settled Restricted
Stock Units
Weighted
Average
Grant Date
Fair Value
Outstanding at December 31, 2021276,611 $80.85 105,592 $71.00 
Granted182,530 70.24 60,914 49.36 
Released(87,779)88.35 (42,180)66.46 
Forfeited(20,592)77.24 — — 
Outstanding at September 30, 2022350,770 $73.67 124,326 $62.18 
Liability Classified Awards - Cash-settled Restricted Stock Units

The Company has granted cash-settled restricted stock units to certain employees. These instruments are recorded as liabilities at fair value as of the respective period end.
 Cash-Settled Restricted
Stock Units
Outstanding at December 31, 202112,799 
Granted67 
Released(12,866)
Outstanding at September 30, 2022— 

For the three months ended September 30, 2022 and 2021, an expense of zero and $0.1 million, respectively, was included as stock-based compensation expense related to cash-settled restricted stock units. For the nine months ended September 30, 2022 and 2021, an expense of $0.2 million and a credit of $1.5 million, respectively, was included as stock-based compensation expense related to cash-settled restricted stock units. At September 30, 2022 and December 31, 2021, liabilities were zero and $0.9 million, respectively, related to cash-settled restricted stock units were included as part of accrued employee compensation and benefits in the Consolidated Balance Sheets.

Liability Classified Awards - Long-Term Incentive Awards
The Company has granted cash long-term incentive awards (“LTIP awards”) to certain employees. Annual LTIP awards vest over a three-year period and are determined using multipliers from 0% to 200% of the target award based on the total stockholder return of the Company's common stock compared to the total stockholder returns of a peer group of companies. The awards are considered stock-based compensation and are classified as liabilities measured at fair value as of the respective period end. For the three months ended September 30, 2022 and 2021, an expense of $0.2 million and $0.2 million, respectively, were included in total stock-based compensation expense related to LTIP awards. For the nine months ended September 30, 2022 and 2021, $1.5 million and $0.7 million, respectively, were included in total stock-based compensation expense related to LTIP awards. At September 30, 2022 and December 31, 2021, liabilities of $2.4 million and $1.5 million, respectively, related to LTIP awards were included as part of accrued employee compensation and benefits, and for the long-term portion in other non-current liabilities in the Consolidated Balance Sheets.