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Stock-Based Compensation
3 Months Ended
Feb. 28, 2019
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-Based Compensation
Stock-Based Compensation
Stock Options. We estimate the grant-date fair value of stock options using the Black-Scholes option-pricing model. The following table summarizes stock option transactions for the three months ended February 28, 2019:
 
Options
 
Weighted
Average Exercise
Price
Options outstanding at beginning of period
7,237,544

 
$
16.02

Granted

 

Exercised
(62,292
)
 
13.36

Cancelled

 

Options outstanding at end of period
7,175,252

 
$
16.04

Options exercisable at end of period
6,886,378

 
$
16.04


As of February 28, 2019, the weighted average remaining contractual life of stock options outstanding and stock options exercisable was 3.8 years and 3.6 years, respectively. There was $.1 million of total unrecognized compensation expense related to unvested stock option awards as of February 28, 2019 that is expected to be recognized over a weighted average period of 0.6 years. For the three months ended February 28, 2019, stock-based compensation expense was nominal compared to $.2 million for the three months ended February 28, 2018. The aggregate intrinsic values of stock options outstanding and stock options exercisable were $62.3 million and $60.4 million, respectively, at February 28, 2019. (The intrinsic value of a stock option is the amount by which the market value of a share of the underlying common stock exceeds the exercise price of the stock option.)
Other Stock-Based Awards. From time to time, we grant restricted stock and PSUs to various employees as a compensation benefit. We recognized total compensation expense of $4.1 million and $3.7 million for the three months ended February 28, 2019 and 2018, respectively, related to restricted stock and PSUs.