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Stock-Based Compensation (Tables)
12 Months Ended
Oct. 31, 2021
Share-based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options during 2021:
Number of
Options
Weighted˗Average
Exercise Price
Per Share
Aggregate
Intrinsic
Value
Weighted˗Average
Remaining
Term
Outstanding at October 31, 20201,487 $122.45 
Granted93 $201.43 
Exercised(298)$107.14 
Forfeited or expired(47)$152.52 
Outstanding at October 31, 20211,235 $130.93 $152,304 6.1 years
Expected to vest561 $155.55 $55,335 7.3 years
Exercisable at October 31, 2021671 $110.21 $96,638 5.0 years
Summarized Information on Currently Outstanding Options
Summarized information on currently outstanding options follows:
Range of Exercise Price
$43 - $90
$91 - $140
$141 - $201
Number outstanding204 626 405 
Weighted-average remaining contractual life, in years3.16.38.3
Weighted-average exercise price$71.82 $122.31 $174.09 
Number exercisable204 399 68 
Weighted-average exercise price$71.82 $120.24 $167.15 
Fair Value Assumptions of Stock Options
The fair value of each option grant was estimated at the date of the grant using the Black-Scholes option-pricing model with the following assumptions:
202120202019
Expected volatility
30.8%-32.6%
24.5%-30.5%
24.1%-24.5%
Expected dividend yield
0.83%-0.85%
0.87%-1.16%
1.04%
Risk-free interest rate
0.43%-0.77%
0.44%-1.69%
2.84%-2.95%
Expected life of the option (in years)
5.3-6.2
5.3-6.3
5.3-6.2
Summarized Activity Related to Restricted Stock
The following table summarizes activity related to restricted shares during 2021:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Restricted at October 31, 202058 $148.75 
Granted— $— 
Forfeited(6)$162.94 
Vested(33)$141.32 
Restricted at October 31, 202119 $157.36 
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units in 2021:
Number of
Units
Weighted˗Average Grant Date Fair
Value
Restricted share units at October 31, 2020— $— 
Granted87 $202.41 
Forfeited(14)$202.06 
Vested(6)$198.58 
Restricted share units at October 31, 202167 $202.81 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during 2021:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Outstanding at October 31, 2020120 $60.81 
Restricted stock units vested$199.36 
Dividend equivalents$215.03 
Distributions(19)$58.86 
Outstanding at October 31, 2021106 $68.11