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Stock-based Employee Compensation, Stock Option Plans, and Deferred Compensation Plan for Directors (Tables)
6 Months Ended
Jun. 30, 2022
Share-Based Payment Arrangement [Abstract]  
Stock Options Issued The following table summarizes the assumptions used in the valuation of the 2022 and 2021 option grants. During the six months ended June 30, 2022, stock option expense totaling $0.8 million was included in general and administrative expense in the Consolidated Statements of Operations. As of June 30, 2022, the estimated future expense related to unvested stock options was $2.7 million.
DirectorsOfficers
Grant dateMay 13, 2022May 7, 2021May 13, 2022May 7, 2021
Exercise price per share$47.90$43.89$47.90$43.89
Fair value per option$8.34$6.32$7.66$5.96
Volatility0.3000.2970.2710.275
Expected life (years)5.05.07.07.0
Assumed yield4.90%4.96%4.93%4.97%
Risk-free rate2.89%0.77%2.95%1.24%
Summary of Option Activity
The table below summarizes the option activity for the six months ended June 30, 2022:
Number of
Shares
Weighted
Average
Exercise Price
per share
Aggregate
Intrinsic Value
Outstanding at January 11,601,250 $51.73 $4,886,106 
Granted248,000 47.90 — 
Exercised(24,375)44.17 237,724 
Expired/Forfeited(19,000)51.71 — 
Outstanding at June 301,805,875 51.31 833,048 
Exercisable at June 301,289,750 52.73 330,728