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Stock-Based Compensation
6 Months Ended
Apr. 30, 2022
Share-based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
The compensation cost recognized in the unaudited condensed consolidated statements of income for our stock compensation arrangements was as follows:
 Three Months Ended 
 April 30,
Six Months Ended 
 April 30,
 2022202120222021
 (in thousands)
Cost of products$13,078 $9,304 $24,285 $18,656 
Cost of maintenance and service5,893 3,411 10,476 6,746 
Research and development expense58,109 40,507 107,649 81,801 
Sales and marketing expense19,291 14,551 37,092 29,710 
General and administrative expense13,690 11,813 26,330 26,455 
Stock-based compensation expense before taxes(1)
110,061 79,586 205,832 163,368 
Income tax benefit(17,852)(12,407)(33,386)(25,469)
Stock-based compensation expense after taxes$92,209 $67,179 $172,446 $137,899 
(1) During the three and six months ended April 30, 2022, we recognized stock-based compensation expense relating to restricted stock units (RSUs), granted to senior executives in February 2022 with certain market, performance and service conditions (market-based RSUs). Under the award agreements, the vesting of the market-based RSUs is contingent on achieving total stockholder return (TSR) relative to a peer index as well as revenue growth metrics. The performance period during which the achievement goals will be measured is fiscal 2022 and fiscal 2023. The maximum potential awards that may be earned are 187.5% of the target number of the initial awards. The awards will vest in equal increments in December 2023 and December 2024 if the TSR target, revenue growth metrics, and service conditions are achieved. The grant date fair value for the market-based RSUs of $280.82 was determined using a Monte Carlo simulation model with the following assumptions: expected volatility of 33.01%, risk-free interest rate of 1.33% and an expected term of 1.69 years.
As of April 30, 2022, we had $937.6 million of total unrecognized stock-based compensation expense relating to options, RSUs and restricted stock awards, which is expected to be recognized over a weighted-average period of 2.3 years. As of April 30, 2022, we had $76.3 million of unrecognized stock-based compensation expense relating to our Employee Stock Purchase Plan (ESPP), which is expected to be recognized over a period of approximately 2.0 years.
The intrinsic values of equity awards exercised during the periods were as follows:
 Three Months Ended 
 April 30,
Six Months Ended 
 April 30,
 2022202120222021
 (in thousands)
Intrinsic value of awards exercised$46,464 $71,680 $159,389 $112,204