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Stock-Based Compensation (Tables)
12 Months Ended
Oct. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options during 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 
Granted85 $266.69 
Exercised(115)$108.33 
Forfeited or expired(18)$197.31 
Outstanding at October 31, 20221,187 $141.82 $101,946 5.4 years
Expected to vest372 $185.15 $18,004 7.0 years
Exercisable at October 31, 2022813 $121.76 $83,887 4.6 years
Summarized Information on Currently Outstanding Options
Summarized information on currently outstanding options follows:
Range of Exercise Price
$61 - $125
$126 - $190
$191 - $268
Number outstanding518 506 163 
Weighted-average remaining contractual life, in years4.56.38.6
Weighted-average exercise price$104.76 $150.57 $232.62 
Number exercisable447 345 21 
Weighted-average exercise price$101.55 $143.04 $201.42 
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:
202220212020
Expected volatility
30.6%-30.8%
30.8%-32.6%
24.5%-
30.5%
Expected dividend yield
0.76%-0.89%
0.83%-0.85%
0.87%-
1.16%
Risk-free interest rate
1.36%-2.65%
0.43%-0.77%
0.44%-
1.69%
Expected life of the option (in years)
5.3-6.2
5.3-6.2
5.3-
6.3
Summarized Activity Related to Restricted Stock
The following table summarizes activity related to restricted shares during 2022:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Restricted at October 31, 202119 $157.36 
Vested(13)$153.28 
Restricted at October 31, 2022$167.99 
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units in 2022:
Number of
Units
Weighted˗Average Grant Date Fair
Value
Restricted share units at October 31, 202167 $202.81 
Granted43 $253.04 
Forfeited(10)$224.84 
Vested(19)$215.57 
Restricted share units at October 31, 202281 $223.77 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during 2022:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Outstanding at October 31, 2021106 $68.11 
Restricted stock units vested$255.04 
Dividend equivalents$227.65 
Distributions(21)$68.12 
Outstanding at October 31, 202290 $77.70