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Stock Compensation Plans (Tables)
12 Months Ended
Dec. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Assumptions Used in Determining Fair Value of Option Awards

The assumptions used in determining the fair value of the option awards for each of the grant years are as follows:

 

 

 

 

 

 

2023

 

 

 

2022

 

 

 

2021

 

Risk-free interest rate

 

 

 

 

3.84

%

 

 

1.86

%

 

 

.71

%

Expected volatility

 

 

 

 

26

%

 

 

26

%

 

 

26

%

Expected dividend yield

 

 

 

 

4.5

%

 

 

4.3

%

 

 

3.6

%

Expected term

 

 

 

6 years

 

 

6 years

 

 

6 years

 

Weighted average grant date fair value of options per share

 

 

 

$

13.17

 

 

$

9.70

 

 

$

9.48

 

Activity Under Company's Stock Plans

A summary of activity under the Company’s stock plans is presented below:

 

 

 

 

 

 

2023

 

 

 

2022

 

 

 

2021

 

Intrinsic value of options exercised

 

 

 

$

41.2

 

 

$

17.8

 

 

$

25.4

 

Cash received from stock option exercises

 

 

 

 

51.7

 

 

 

35.8

 

 

 

38.4

 

Tax benefit related to stock award exercises

 

 

 

 

5.4

 

 

 

2.6

 

 

 

4.9

 

Stock-based compensation

 

 

 

 

21.2

 

 

 

17.1

 

 

 

14.7

 

Tax benefit related to stock-based compensation

 

 

 

 

1.7

 

 

 

1.7

 

 

 

1.6

 

 

Stock Option Activity

The summary of options as of December 31, 2023 and changes during the year then ended are presented below:

 

 

 

 

 

 

PER SHARE

 

 

REMAINING

 

 

AGGREGATE

 

 

 

NUMBER

 

 

EXERCISE

 

 

CONTRACTUAL

 

 

INTRINSIC

 

 

 

OF SHARES

 

 

PRICE*

 

 

LIFE IN YEARS*

 

 

VALUE

 

Options outstanding at January 1

 

 

4,205,200

 

 

$

51.10

 

 

 

 

 

 

 

Granted

 

 

898,100

 

 

 

72.00

 

 

 

 

 

 

 

Exercised

 

 

(1,174,400

)

 

 

44.08

 

 

 

 

 

 

 

Cancelled

 

 

(105,600

)

 

 

66.09

 

 

 

 

 

 

 

Options outstanding at December 31

 

 

3,823,300

 

 

$

57.77

 

 

 

6.64

 

 

$

152.5

 

Vested and expected to vest

 

 

3,678,800

 

 

$

57.34

 

 

 

6.55

 

 

$

148.3

 

Exercisable

 

 

1,498,400

 

 

$

45.45

 

 

 

4.25

 

 

$

78.2

 

* Weighted Average

Nonvested Restricted Shares Activity

The fair value of restricted shares is determined based upon the stock price on the date of grant. The summary of nonvested restricted shares as of December 31, 2023 and changes during the year then ended is presented below:

 

 

 

 

 

 

 

NUMBER

 

 

GRANT DATE

 

NONVESTED SHARES

 

 

 

 

 

OF SHARES

 

 

FAIR VALUE*

 

Nonvested awards outstanding at January 1

 

 

 

 

 

 

241,500

 

 

$

59.69

 

Granted

 

 

 

 

 

 

197,000

 

 

 

71.27

 

Vested

 

 

 

 

 

 

(168,700

)

 

 

63.06

 

Forfeited

 

 

 

 

 

 

(8,000

)

 

 

60.25

 

Nonvested awards outstanding at December 31

 

 

 

 

 

 

261,800

 

 

$

66.21

 

* Weighted Average

Dilutive and Antidilutive Options

The dilutive and antidilutive options are shown separately in the table below:

 

Year Ended December 31,

 

 

2023

 

 

 

2022

 

 

 

2021

 

Additional shares

 

 

1,099,000

 

 

 

769,100

 

 

 

973,300

 

Antidilutive options

 

 

891,500

 

 

 

1,653,600

 

 

 

883,800