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Stock Option Plans (Tables)
12 Months Ended
Dec. 31, 2020
Text Block [Abstract]  
Black-Scholes Option Pricing Model with Weighted Average

For purposes of expense recognition in 2020, 2019 and 2018, the estimated fair values of the stock option grants are amortized to expense over the options’ vesting period.  We estimated the fair value of stock options at the date of grant using the Black-Scholes option pricing model with the following weighted average assumptions:

 

 

 

Year Ended December 31,

 

 

 

2020

 

 

2019

 

 

2018

 

Expected dividend yield

 

 

2.1

%

 

 

1.7

%

 

 

2.3

%

Expected risk-free interest rate

 

 

0.7

%

 

 

2.5

%

 

 

2.7

%

Volatility

 

 

17.3

%

 

 

15.6

%

 

 

15.1

%

Expected life (in years)

 

 

5.4

 

 

 

5.5

 

 

 

5.5

 

Stock Option Activity and Related Information

The following is a summary of our stock option activity and related information for 2020 and 2019 (in millions, except exercise price and year data):

 

 

 

 

 

 

 

 

 

 

 

Weighted

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average

 

 

 

 

 

 

 

 

 

 

 

Weighted

 

 

Remaining

 

 

 

 

 

 

 

Shares

 

 

Average

 

 

Contractual

 

 

Aggregate

 

 

 

Under

 

 

Exercise

 

 

Term

 

 

Intrinsic

 

 

 

Option

 

 

Price

 

 

(in years)

 

 

Value

 

Year Ended December 31, 2020

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Beginning balance

 

 

7.9

 

 

$

56.40

 

 

 

 

 

 

 

 

 

Granted

 

 

1.6

 

 

 

86.17

 

 

 

 

 

 

 

 

 

Exercised

 

 

(1.8

)

 

 

45.80

 

 

 

 

 

 

 

 

 

Forfeited or canceled

 

 

(0.2

)

 

 

65.87

 

 

 

 

 

 

 

 

 

Ending balance

 

 

7.5

 

 

$

65.09

 

 

 

3.86

 

 

$

437.9

 

Exercisable at end of year

 

 

1.9

 

 

$

47.17

 

 

 

1.83

 

 

$

147.2

 

Ending unvested and expected to vest

 

 

5.3

 

 

$

70.74

 

 

 

4.51

 

 

$

278.1

 

Year Ended December 31, 2019

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Beginning balance

 

 

8.8

 

 

$

50.16

 

 

 

 

 

 

 

 

 

Granted

 

 

1.3

 

 

 

79.59

 

 

 

 

 

 

 

 

 

Exercised

 

 

(1.9

)

 

 

42.91

 

 

 

 

 

 

 

 

 

Forfeited or canceled

 

 

(0.3

)

 

 

57.33

 

 

 

 

 

 

 

 

 

Ending balance

 

 

7.9

 

 

$

56.40

 

 

 

3.75

 

 

$

308.6

 

Exercisable at end of year

 

 

2.0

 

 

$

45.03

 

 

 

1.82

 

 

$

101.9

 

Ending unvested and expected to vest

 

 

5.7

 

 

$

59.76

 

 

 

4.36

 

 

$

201.5

 

Other Information Regarding Stock Options Outstanding and Exercisable

Other information regarding stock options outstanding and exercisable at December 31, 2020 is summarized as follows (in millions, except exercise price and year data):

 

 

 

 

 

 

 

 

 

 

 

 

 

Options Outstanding

 

 

Options Exercisable

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Weighted

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Remaining

 

 

Weighted

 

 

 

 

 

 

Weighted

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Contractual

 

 

Average

 

 

 

 

 

 

Average

 

 

 

 

 

 

 

 

 

 

 

 

 

Number

 

 

Term

 

 

Exercise

 

 

Number

 

 

Exercise

 

Range of Exercise Prices

 

 

Outstanding

 

 

(in years)

 

 

Price

 

 

Exercisable

 

 

Price

 

$

43.71

 

 

 

 

 

$

43.71

 

 

 

1.4

 

 

 

2.21

 

 

$

43.71

 

 

 

0.7

 

 

$

43.71

 

 

46.17

 

 

 

 

 

 

46.87

 

 

 

0.9

 

 

 

0.97

 

 

 

46.33

 

 

 

0.9

 

 

 

46.33

 

 

49.55

 

 

 

 

 

 

56.86

 

 

 

1.3

 

 

 

3.21

 

 

 

56.83

 

 

 

0.3

 

 

 

56.81

 

 

70.74

 

 

 

 

 

 

70.74

 

 

 

1.1

 

 

 

4.21

 

 

 

70.74

 

 

 

 

 

 

70.74

 

 

79.59

 

 

 

 

 

 

79.59

 

 

 

1.2

 

 

 

5.20

 

 

 

79.59

 

 

 

 

 

 

79.59

 

 

86.17

 

 

 

 

 

 

86.17

 

 

 

1.6

 

 

 

6.20

 

 

 

86.17

 

 

 

 

 

 

 

$

43.71

 

 

 

 

 

$

86.17

 

 

 

7.5

 

 

 

3.86

 

 

$

65.09

 

 

 

1.9

 

 

$

47.17