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Stock-Based Compensation
3 Months Ended
Jan. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Stock-Based Compensation Stock-Based Compensation
The compensation cost recognized in the condensed consolidated statements of income for our stock compensation arrangements was as follows:
 Three Months Ended 
 January 31,
 20232022
 (in thousands)
Cost of products$16,029 $11,207 
Cost of maintenance and service7,155 4,583 
Research and development expense69,231 49,540 
Sales and marketing expense24,907 17,801 
General and administrative expense16,905 12,640 
Stock-based compensation expense before taxes134,227 95,771 
Income tax benefit(21,570)(15,429)
Stock-based compensation expense after taxes$112,657 $80,342 
During the three months ended January 31, 2023, we recognized stock-based compensation expense relating to restricted stock units (RSUs), granted to senior executives with certain market, performance and service conditions (market-based RSUs). The grant date fair value for the market-based RSUs granted during the three months ended January 31, 2023 was determined using the Monte Carlo simulation model with the following assumptions: expected volatility of 42.86%, risk-free interest rate of 4.63% and an expected term of 0.9 years. There were no market-based RSUs granted during the three months ended January 31, 2022.
As of January 31, 2023, we had $917.6 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 2.1 years. As of January 31, 2023, we had $60.3 million of unrecognized stock-based compensation expense relating to our Employee Stock Purchase Plan, 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 
 January 31,
 20232022
 (in thousands)
Intrinsic value of awards exercised$54,776 $112,925