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Stock-Based Compensation (Tables)
3 Months Ended
Jan. 31, 2022
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, 2022:
 Number of
Options
Weighted-
Average
Exercise Price 
Per Share
Aggregate
Intrinsic Value
Weighted
Average
Remaining
Term
Outstanding at October 31, 20211,235$130.93 
Granted83267.51 
Exercised(48)120.27 
Forfeited or expired(3)140.47 
Outstanding at January 31, 20221,267$140.29 $119,828 6.1 years
Expected to vest391$186.03 $21,069 7.9 years
Exercisable at January 31, 2022873$119.62 $98,565 5.2 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, 2022January 31, 2021
Expected volatility30.6%-30.8%30.8%-32.6%
Expected dividend yield0.76%-0.76%0.83%-0.83%
Risk-free interest rate1.36%-1.47%0.43%-0.54%
Expected life of the option (in years)5.3-6.25.3-6.2
Summarized Activity Related to Restricted Stock
The following table summarizes activity related to restricted shares during the three months ended January 31, 2022:
 Number of SharesWeighted-Average
Grant Date
Fair Value
Restricted shares at October 31, 202119 $157.36 
Vested(9)144.06
Restricted shares at January 31, 202210 $168.88 
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units during the three months ended January 31, 2022:
 Number of UnitsWeighted-Average
Grant Date
Fair Value
Restricted share units at October 31, 202167 $202.81 
Granted39 266.11
Forfeited(1)219.03
Vested(14)201.32
Restricted share units at January 31, 202291 $229.66 
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, 2022:
 Number of SharesWeighted-Average
Grant Date Fair
Value
Outstanding at October 31, 2021106 $68.11 
Distributions(4)49.08
Outstanding at January 31, 2022102 $69.40