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Stock-Based Compensation (Tables)
12 Months Ended
Oct. 31, 2020
Share-based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options during 2020:
Number of
Options
Weighted˗Average
Exercise Price
Per Share
Aggregate
Intrinsic
Value
Weighted˗Average
Remaining
Term
Outstanding at October 31, 20191,787 $97.74 
Granted391 $166.38 
Exercised(644)$78.91 
Forfeited or expired(47)$145.52 
Outstanding at October 31, 20201,487 $122.45 $105,536 7.0 years
Expected to vest845 $141.28 $44,065 8.1 years
Exercisable at October 31, 2020632 $96.79 $61,104 5.5 years
Summarized Information on Currently Outstanding Options
Summarized information on currently outstanding options follows:
Range of Exercise Price
$43 - $90
$91 - $140
$141 - $190
Number outstanding279 844 364 
Weighted-average remaining contractual life, in years4.07.19.1
Weighted-average exercise price$70.40 $120.56 $166.66 
Number exercisable279 352 
Weighted-average exercise price$70.40 $117.43 $165.21 
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:
202020192018
Expected volatility
24.5%-30.5%
24.1%-24.5%
24.0%-26.7%
Expected dividend yield
0.87%-1.16%
1.04%0.97%
Risk-free interest rate
0.44%-1.69%
2.84%-2.95%
2.09%-2.20%
Expected life of the option (in years)
5.3-6.3
5.3-6.2
5.4-6.2
Summarized Activity Related to Restricted Stock
The following table summarizes activity related to restricted shares during 2020:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Restricted at October 31, 201966 $126.83 
Granted27 $170.94 
Forfeited(7)$135.43 
Vested(28)$121.01 
Restricted at October 31, 202058 $148.75 
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units in 2020:
Number of
Units
Weighted˗Average Grant Date Fair
Value
Restricted share units at October 31, 2019— $— 
Granted$160.68 
Vested(7)$160.68 
Restricted share units at October 31, 2020— $— 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during 2020:
Number of
Shares
Weighted˗Average
Grant Date Fair
Value Per Share
Outstanding at October 31, 2019114 $55.52 
Restricted stock units vested$161.09 
Dividend equivalents$169.43 
Outstanding at October 31, 2020120 $60.81