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EQUITY COMPENSATION PLANS (Tables)
12 Months Ended
Dec. 31, 2020
EQUITY COMPENSATION PLANS  
Summary of stock option activity and average exercise prices

    

2020

2019

    

2018

 

    

Number of

    

Exercise

Number of

Exercise

Number of

Exercise

 

Options

Price (a)

    

Options

Price (a)

Options

Price (a)

 

Outstanding, beginning of year

 

9,042,320

$ 121.72

10,516,633

$ 108.28

 

11,380,013

$ 95.76

Granted

 

931,750

220.95

879,862

184.31

 

1,202,314

158.23

Exercised

 

(2,733,130)

97.52

(2,270,374)

82.93

 

(1,942,192)

64.63

Canceled

 

(91,660)

166.67

(83,801)

143.08

 

(123,502)

127.02

Separation of ChampionX

 

(346,865)

126.37

-

-

 

-

-

Outstanding, end of year

 

6,802,415

$ 144.20

9,042,320

$ 121.72

 

10,516,633

$ 108.28

Exercisable, end of year

 

5,051,927

$ 125.08

7,048,422

$ 109.34

 

7,993,297

$ 97.13

Vested and expected to vest, end of year

 

6,697,614

$ 143.25

(a)Represents weighted average price per share.

Weighted-average grant-date fair value of options granted and significant assumptions used in determining the underlying fair value of each option grant

    

2020

    

2019

2018

Weighted-average grant-date fair value of options

granted at market prices

$ 44.16

$ 40.30

$ 37.34

Assumptions

Risk-free rate of return

0.5

%

1.6

%

 

2.8

%  

Expected life

 

 

6

years

 

6

years

 

6

years

Expected volatility

23.0

%

23.0

%

 

22.5

%  

Expected dividend yield

0.9

%

1.0

%

 

1.2

%  

Summary of non-vested PBRSU awards and restricted stock activity

PBRSU

Grant Date

RSAs and

Grant Date

Awards

Fair Value (a)

RSUs

Fair Value (a)

December 31, 2017

 

1,362,836

$ 115.24

 

249,402

$ 116.66

Granted

 

284,104

152.59

109,074

138.69

Vested / Earned

 

(324,561)

103.15

(92,032)

113.03

Canceled

 

(55,026)

114.25

(19,975)

115.05

December 31, 2018

 

1,267,353

$ 126.75

 

246,469

$ 127.09

Granted

 

207,704

178.20

102,941

177.38

Vested / Earned

 

(334,351)

114.38

(64,597)

119.08

Canceled

 

(23,808)

135.70

(19,300)

124.77

December 31, 2019

 

1,116,898

$ 139.83

 

265,513

$ 149.46

Granted

202,187

215.23

62,693

203.09

Vested / Earned

(333,676)

112.78

(81,150)

130.72

Canceled

(26,285)

157.32

(15,996)

162.51

Separation of ChampionX

(44,494)

142.10

(67,377)

161.82

December 31, 2020

914,630

$ 165.76

 

163,683

$ 172.92

(a)Represents weighted average price per share.