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Earnings per share (Tables)
 6 Months Ended
Jun. 30, 2019
Earnings Per Share [Abstract]  
Schedule of computations of basic and diluted earnings per share
Basic and diluted EPS for the three and six months ended June 30, 2019 and 2018 were as follows:
 
Three Months Ended June 30,
 
Six Months Ended June 30,
 
2019
 
2018
 
2019
 
2018
Net income for the computation of basic EPS
$
331,460

 
$
254,240

 
$
565,646

 
$
519,639

Weighted average ordinary shares outstanding - basic
135,917,192

 
145,272,520

 
137,029,147

 
146,228,245

Basic EPS
$
2.44

 
$
1.75

 
$
4.13

 
$
3.55

 
 
 
 
 
 
 
 
 
Three Months Ended June 30,
 
Six Months Ended June 30,
 
2019
 
2018
 
2019
 
2018
Net income for the computation of diluted EPS
$
331,460

 
$
254,240

 
$
565,646

 
$
519,639

Weighted average ordinary shares outstanding - diluted
137,072,268

 
149,474,890

 
138,396,628

 
151,858,686

Diluted EPS
$
2.42

 
$
1.70

 
$
4.09

 
$
3.42
Schedule of computation of ordinary shares outstanding, excluding unvested restricted stock
Ordinary shares outstanding, excluding shares of unvested restricted stock, as of June 30, 2019 and December 31, 2018 were as follows:
 
June 30, 2019
 
December 31, 2018
 
Number of ordinary shares
Ordinary shares issued
146,847,345

 
151,847,345

Treasury shares
(10,244,359
)
 
(9,172,681
)
Ordinary shares outstanding
136,602,986

 
142,674,664

Shares of unvested restricted stock
(2,250,655
)
 
(2,429,442
)
Ordinary shares outstanding, excluding shares of unvested restricted stock
134,352,331

 
140,245,222