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Stock Option Plan (Tables)
12 Months Ended
Jan. 31, 2019
Text block [abstract]  
Summary of Weighted-Average Fair Value of Options Granted and Assumptions

The following table summarizes the weighted-average fair value of options granted and the main assumptions that were used to calculate the fair value during the years ended January 31, 2019 and 2018:

 

     

January 31,

2019

    

January 31,

2018

 

Weighted-average fair value at grant date

     $18.02        $11.66  

Weighted average assumptions used in the fair value models

     

Share price

     $60.48        $39.93  

Risk-free interest rate

     2.20%        1.16%  

Expected life

     6.25 years        6.25 years  

Expected volatility

     27.64%        30.43%  

Expected annual dividend per share

     0.60%        0.80%  
Summary of Stock Option

The number of stock options varied as follows:

 

      Number of options     Weighted average
exercise price
 

Balance as at February 1, 2017

     2,840,433       $22.39  

Granted

     1,106,900       39.61  

Forfeited/Cancelled

     (87,150     24.77  

Exercised [a]

     (460,449     18.07  

Balance as at January 31, 2018

     3,399,734       28.52  

Granted

     937,150       60.16  

Forfeited/Cancelled

     (189,387     48.88  

Exercised [b]

     (264,478     23.50  

Balance as at January 31, 2019

     3,883,019       $35.51  

 

[a] 

The weighted average stock price on these exercised stock options was $39.78.

 

[b] 

The weighted average stock price on these exercised stock options was $61.04.

Summary of Stock Options Outstanding and Exercisable

The following table summarizes information about stock options outstanding and exercisable, as at January 31, 2019:

 

     Outstanding      Exercisable  
Exercise price range    Number of
options
    

Weighted-
average

exercise

price

     Weighted-
average
remaining life
(years)
     Number of
options
    

Weighted-
average

exercise

price

 

$0 to $4

     26,894        $0.85        2.1          26,894        $0.85  

$16 to $20

     17,550        19.00        7.1          9,125        18.90  

$20 to $24

     1,045,175        20.86        6.1          724,425        21.09  

$24 to $28

     955,900        27.08        6.0          795,050        26.96  

$28 to $32

     3,000        29.03        4.9          3,000        29.03  

$36 to $40

     963,950        39.45        8.4          215,000        39.45  

$40 to $44

     119,500        40.46        9.4          11,275        40.90  

$44 to $48

     13,800        47.67        9.0          3,450        47.67  

$60 to $64

     737,250        62.69        9.4                  

Balance as at January 31, 2019

     3,883,019        $35.51        7.4          1,788,219        $25.78  

The following table summarizes information about stock options outstanding and exercisable, as at January 31, 2018:

 

     Outstanding      Exercisable  
Exercise price range    Number of
options
    

Weighted-
average

exercise

price

     Weighted-
average
remaining life
(years)
     Number of
options
    

Weighted-
average

exercise

price

 

$0 to $4

     56,180        $0.60        2.5          56,180        $0.60  

$4 to $8

     9,029        6.63        4.5          7,648        6.54  

$16 to $20

     18,125        18.92        8.1          5,025        18.66  

$20 to $24

     1,147,725        20.86        7.1          646,000        21.26  

$24 to $28

     1,057,100        27.07        7.0          601,725        26.91  

$28 to $32

     5,875        29.03        5.9          5,875        29.03  

$36 to $40

     1,046,800        39.45        9.4                  

$40 to $44

     45,100        40.90        9.7                  

$44 to $48

     13,800        47.67        10.0                  

Balance as at January 31, 2018

     3,399,734        $28.52        7.7          1,322,453        $22.89