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Earnings Per Common Share
3 Months Ended
Mar. 31, 2021
Earnings Per Share [Abstract]  
Earnings Per Common Share Earnings Per Common Share
The following table sets forth the computation of basic and diluted earnings per common share:
Three Months Ended
March 31,
 20212020
Numerator:
Net income (loss)$475,708 $(88,674)
Amounts attributable to noncontrolling interests(37,552)232,791 
Net income (loss) available to Arch438,156 144,117 
Preferred dividends(10,403)(10,403)
Net income (loss) available to Arch common shareholders$427,753 $133,714 
Denominator:
Weighted average common shares and common share equivalents outstanding — basic400,807,895 403,892,161 
Effect of dilutive common share equivalents:
Nonvested restricted shares2,230,794 2,275,473 
Stock options (1)6,184,564 7,865,936 
Weighted average common shares and common share equivalents outstanding — diluted409,223,253 414,033,570 
Earnings per common share:
Basic$1.07 $0.33 
Diluted$1.05 $0.32 
(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For the 2021 first quarter and 2020 first quarter, the number of stock options excluded were 2,400,082 and 1,155,088, respectively.