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Profit per share
12 Months Ended
Dec. 31, 2021
Earnings Per Share [Abstract]  
Profit per share Profit per share
 
Computations of profit per share:
(Dollars in millions except per share data)202120202019
Profit for the period (A) 1 
$6,489 $2,998 $6,093 
Determination of shares (in millions):   
Weighted average number of common shares outstanding (B)544.0 544.1 561.6 
Shares issuable on exercise of stock awards, net of shares assumed to be purchased out of proceeds at average market price
4.5 4.5 5.9 
Average common shares outstanding for fully diluted computation (C) 2
548.5 548.6 567.5 
Profit per share of common stock:   
Assuming no dilution (A/B)$11.93 $5.51 $10.85 
Assuming full dilution (A/C) 2
$11.83 $5.46 $10.74 
Shares outstanding as of December 31 (in millions)535.9 545.3 550.1 
1Profit attributable to common shareholders.
2Diluted by assumed exercise of stock-based compensation awards using the treasury stock method.

For the year ended December 31, 2021, 2020 and 2019, we excluded 1.1 million, 4.6 million and 3.0 million outstanding stock options, respectively, from the computation of diluted earnings per share because the effect would have been antidilutive.

In July 2018, the Board approved a share repurchase authorization (the 2018 Authorization) of up to $10.0 billion of Caterpillar common stock effective January 1, 2019, with no expiration. As of December 31, 2021, approximately $2.1 billion remained available under the 2018 Authorization.

During 2021, 2020 and 2019, we repurchased 13.0 million, 10.1 million and 30.6 million shares of Caterpillar common stock, respectively, at an aggregate cost of $2.7 billion, $1.3 billion and $4.0 billion respectively. We made these purchases through a combination of accelerated stock repurchase agreements with third-party financial institutions and open market transactions.