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Share-based Compensation (Tables)
12 Months Ended
Dec. 31, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of weighted average assumptions used to estimate the grant date fair value of options granted
A summary of the Company's restricted stock as of December 31, 2016, 2015, and 2014 and charges during the years ended December 31, 2016, 2015, and 2014 are as follows:
 
2016
 
2015
 
2014
Balance at beginning of year
3,137,881

 
3,000,979

 
2,994,197

Granted
98,800

 
143,053

 
9,550

Cancelled
(34,650
)
 
(6,151
)
 
(2,768
)
Balance at end of year
3,202,031

 
3,137,881

 
3,000,979

Vested during the year
83,822

 
87,081

 
75,043

Compensation expense recorded
$
7,153,966

 
$
7,540,747

 
$
9,658,019

Weighted average fair value of restricted stock granted during the year
$
10,650,077

 
$
16,061,201

 
$
1,141,675

The fair value of each stock option or Class O LTIP Unit granted is estimated on the date of grant using the Black-Scholes option pricing model based on historical information with the following weighted average assumptions for grants during the years ended December 31, 2016, 2015, and 2014.
 
2016
 
2015
 
2014
Dividend yield
2.37
%
 
1.97
%
 
1.60
%
Expected life
3.7 years

 
3.6 years

 
3.6 years

Risk-free interest rate
1.57
%
 
1.43
%
 
1.29
%
Expected stock price volatility
26.76
%
 
32.34
%
 
33.97
%
Summary of the status of stock options and changes during the period
A summary of the status of the Company's stock options as of December 31, 2016, 2015, and 2014 and changes during the years ended December 31, 2016, 2015, and 2014 are as follows:
 
2016
 
2015
2014
 
Options Outstanding
 
Weighted Average
Exercise Price
 
Options Outstanding
 
Weighted Average
Exercise Price
Options
Outstanding
 
Weighted
Average
Exercise
Price
Balance at beginning of year
$
1,595,007

 
$
95.52

 
$
1,462,726

 
$
87.98

$
1,765,034

 
$
83.24

Granted
445,100

 
105.86

 
389,836

 
112.54

102,050

 
119.12

Exercised
(192,875
)
 
76.90

 
(217,438
)
 
74.69

(348,156
)
 
72.76

Lapsed or cancelled
(110,019
)
 
123.86

 
(40,117
)
 
98.61

(56,202
)
 
90.03

Balance at end of year
$
1,737,213

 
$
98.44

 
$
1,595,007

 
$
95.52

$
1,462,726

 
$
87.98

Options exercisable at end of year
748,617

 
$
87.72

 
589,055

 
$
89.85

$
428,951

 
$
90.32

Weighted average fair value of options granted during the year
$
8,363,036

 
 

 
$
9,522,613

 
 

$
2,841,678