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Earnings per share (Tables)
12 Months Ended
Dec. 31, 2018
Earnings Per Share [Abstract]  
Schedule of computations of basic and diluted earnings per share
The computations of basic and diluted EPS for the years ended December 31, 2018, 2017 and 2016 were as follows:
 
Year Ended December 31,
 
2018
 
2017
 
2016
Net income for the computation of basic EPS
$
1,015,632

 
$
1,076,151

 
$
1,046,630

Weighted average ordinary shares outstanding—basic
145,162,220

 
161,059,552

 
185,514,370

Basic EPS
$
7.00

 
$
6.68

 
$
5.64

 
Year Ended December 31,
 
2018
 
2017
 
2016
Net income for the computation of diluted EPS
$
1,015,632

 
$
1,076,151

 
$
1,046,630

Weighted average ordinary shares outstanding—diluted
148,706,266

 
167,287,508

 
189,682,036

Diluted EPS
$
6.83

 
$
6.43

 
$
5.52

Schedule of computation of ordinary shares outstanding, excluding unvested restricted stock
The computations of ordinary shares outstanding, excluding shares of unvested restricted stock, as of December 31, 2018, 2017 and 2016 were as follows:
 
As of December 31,
 
2018
 
2017
 
2016
 
Number of ordinary shares
Ordinary shares issued
151,847,345

 
167,847,345

 
187,847,345

Treasury shares
(9,172,681
)
 
(14,855,244
)
 
(11,600,191
)
Ordinary shares outstanding
142,674,664

 
152,992,101

 
176,247,154

Shares of unvested restricted stock
(2,429,442
)
 
(3,007,752
)
 
(3,426,810
)
Ordinary shares outstanding, excluding shares of unvested restricted stock
140,245,222

 
149,984,349

 
172,820,344