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Profit Per Share
6 Months Ended
Jun. 30, 2021
Earnings Per Share [Abstract]  
Profit Per Share Profit per share
 
Computations of profit per share:Three Months Ended June 30Six Months Ended June 30
(Dollars in millions except per share data)2021202020212020
Profit for the period (A) 1
$1,413 $458 $2,943 $1,550 
Determination of shares (in millions): 
Weighted-average number of common shares outstanding (B)547.9541.5547.1 544.5 
Shares issuable on exercise of stock awards, net of shares assumed to be purchased out of proceeds at average market price4.23.04.73.7
Average common shares outstanding for fully diluted computation (C) 2
552.1544.5551.8 548.2 
Profit per share of common stock:  
Assuming no dilution (A/B)$2.58 $0.84 $5.38 $2.85 
Assuming full dilution (A/C) 2
$2.56 $0.84 $5.33 $2.83 
Shares outstanding as of June 30 (in millions)547.5 541.5 
1 Profit attributable to common shareholders.
2 Diluted by assumed exercise of stock-based compensation awards using the treasury stock method.

For the three and six months ended June 30, 2021 and 2020, we excluded 1.1 million and 4.9 million of 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 June 30, 2021, approximately $4.5 billion remained available under the 2018 Authorization.
For the three and six months ended June 30, 2021, we repurchased 1.2 million shares of Caterpillar common stock, at an aggregate cost of $251 million. For the three and six months ended June 30, 2020, we repurchased 0.8 million and 10.1 million shares of Caterpillar common stock, respectively, at an aggregate cost of $87 million and $1.3 billion, respectively. We made these purchases through a combination of accelerated stock repurchase agreements with third-party financial institutions and open market transactions.