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Earnings Per Common Share
9 Months Ended
Sep. 30, 2020
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 EndedNine Months Ended
September 30,September 30,
 2020201920202019
Numerator:
Net income (loss)$488,682 $399,189 $866,397 $1,380,532 
Amounts attributable to noncontrolling interests(69,643)(6,736)(4,420)(70,597)
Net income (loss) available to Arch419,039 392,453 861,977 1,309,935 
Preferred dividends(10,403)(10,403)(31,209)(31,209)
Net income (loss) available to Arch common shareholders$408,636 $382,050 $830,768 $1,278,726 
Denominator:
Weighted average common shares and common share equivalents outstanding — basic402,850,485 402,564,121 403,081,266 401,419,153 
Effect of dilutive common share equivalents:
Nonvested restricted shares1,580,791 1,895,972 1,690,447 1,637,015 
Stock options (1)4,763,381 8,720,108 5,543,184 7,751,234 
Weighted average common shares and common share equivalents outstanding — diluted409,194,657 413,180,201 410,314,897 410,807,402 
Earnings per common share:
Basic$1.01 $0.95 $2.06 $3.19 
Diluted$1.00 $0.92 $2.02 $3.11 
(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 2020 third quarter and 2019 third quarter, the number of stock options excluded were 4,713,241 and 37,394, respectively. For the nine months ended September 30, 2020 and 2019 period, the number of stock options excluded were 2,361,413 and 2,198,115, respectively.