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Stock-based compensation (Tables)
3 Months Ended
Jan. 31, 2024
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options for the three months ended January 31, 2024:
 Number of
Options
Weighted-
Average
Exercise Price 
Per Share
Aggregate
Intrinsic Value
Weighted
Average
Remaining
Term
Outstanding at October 31, 20231,062$152.41 
Granted55238.80 
Exercised(116)128.09 
Forfeited or expired(6)228.20 
Outstanding at January 31, 2024995$159.51 $92,894 5.1 years
Expected to vest164$237.41 $2,927 8.4 years
Exercisable at January 31, 2024828$143.80 $89,927 4.4 years
Fair Value Assumptions of Stock Options
The fair value of each option grant was estimated at the date of grant using the Black-Scholes option-pricing model with the following assumptions:
Three Months Ended
January 31, 2024January 31, 2023
Expected volatility30.5%-31.7%30.4%-31.8%
Expected dividend yield1.15%-1.15%1.12%-1.12%
Risk-free interest rate4.22%-4.26%3.79%-3.82%
Expected life of the option (in years)5.0-6.25.0-6.1
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units during the three months ended January 31, 2024:
 Number of UnitsWeighted-Average
Grant Date
Fair Value
Restricted share units at October 31, 202369 $236.28 
Granted36 233.74
Forfeited(2)240.72
Vested(28)233.59
Restricted share units at January 31, 202475 $235.89 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during the three months ended January 31, 2024:
 Number of SharesWeighted-Average
Grant Date 
Fair Value
Outstanding at October 31, 202378 $93.11 
Distributions(5)53.35
Outstanding at January 31, 202473 $96.11