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Stockholders' Equity
12 Months Ended
Dec. 31, 2015
Stockholders' Equity Note [Abstract]  
Stockholders' Equity
Note 4. Stockholders’ Equity
Our authorized, issued, and outstanding shares (stated in whole numbers) at year end consisted of the following:
 
Par Value
 
2015
 
2014
Preferred stock
$0.01/share
 
 
 
 
Shares authorized
 
 
5,000,000

 
5,000,000

Shares issued and outstanding
 
 

 

Common stock
$0.01/share
 
 
 
 
Shares authorized
 
 
400,000,000

 
400,000,000

Shares issued and outstanding
 
 
289,581,682

 
295,867,844


Dividends
On January 14, 2016, our board of directors declared a quarterly dividend of $0.30 per share of common stock to be paid in cash on February 26, 2016 to shareholders of record at the close of business on January 29, 2016. We paid aggregate annual dividends per share of $1.12, $1.00, and $0.80 in 2015, 2014, and 2013, respectively.

Stock Purchases
Subsequent to December 31, 2015, we have purchased 1,600,000 shares of our common stock at an average price of approximately $37.15 per share.
Stock Options
The following tables summarize the details of grants made under our stock option plan that are still outstanding, and the assumptions used to value these grants. All options granted were effective at the close of business on the date of grant.
 
  
Options
Granted
 
Option Exercise
(Strike) Price
 
Closing Stock
Price on Date
of Grant
 
December 31, 2015
Date of Grant
Options
Outstanding
 
Options
Exercisable
April 21, 2015
893,220

 
$
42.00

 
$
41.26

 
817,990

 

April 22, 2014
955,000

 
$
56.00

 
$
50.53

 
797,500

 
5,000

April 16, 2013
205,000

 
$
54.00

 
$
49.25

 
125,000

 
2,500

April 17, 2012
1,235,000

 
$
54.00

 
$
49.01

 
1,039,500

 
341,250

April 19, 2011
410,000

 
$
35.00

 
$
31.78

 
250,300

 
150,300

April 20, 2010
530,000

 
$
30.00

 
$
27.13

 
210,350

 
120,350

April 21, 2009
790,000

 
$
27.00

 
$
17.61

 
293,100

 
200,600

April 15, 2008
550,000

 
$
27.00

 
$
24.35

 
147,750

 
122,750

April 17, 2007
4,380,000

 
$
22.50

 
$
20.15

 
849,492

 
849,492

Total
9,948,220

 
 
 
 
 
4,530,982

 
1,792,242

 
Date of Grant
Risk-free
Interest Rate
 
Expected Life
of Option in
Years
 
Expected
Dividend
Yield
 
Expected
Stock
Volatility
 
Estimated Fair
Value of Stock
Option
April 21, 2015
1.3
%
 
5.00
 
2.7
%
 
26.84
%
 
$
7.35

April 22, 2014
1.8
%
 
5.00
 
2.0
%
 
28.55
%
 
$
9.57

April 16, 2013
0.7
%
 
5.00
 
1.6
%
 
37.42
%
 
$
12.66

April 17, 2012
0.9
%
 
5.00
 
1.4
%
 
39.25
%
 
$
13.69

April 19, 2011
2.1
%
 
5.00
 
1.6
%
 
39.33
%
 
$
11.20

April 20, 2010
2.6
%
 
5.00
 
1.5
%
 
39.10
%
 
$
8.14

April 21, 2009
1.9
%
 
5.00
 
1.0
%
 
38.80
%
 
$
3.64

April 15, 2008
2.7
%
 
5.00
 
1.0
%
 
30.93
%
 
$
7.75

April 17, 2007
4.6
%
 
4.85
 
1.0
%
 
31.59
%
 
$
5.63


All of the options in the tables above vest and become exercisable over a period of up to eight years. Generally, each option will terminate approximately nine years after the grant date.
The fair value of each share-based option is estimated on the date of grant using a Black-Scholes valuation method that uses the assumptions listed above. The risk-free interest rate is based on the U.S. Treasury rate over the expected life of the option at the time of grant. The expected life is the average length of time over which we expect the employee groups will exercise their options, which is based on historical experience with similar grants. The dividend yield is estimated over the expected life of the option based on our current dividend payout, historical dividends paid, and expected future cash dividends. Expected stock volatilities are based on the movement of our stock over the most recent historical period equivalent to the expected life of the option.
A summary of the activity under our stock option plan is as follows:
 
Options
Outstanding
 
Exercise
Price(1)
 
Remaining
Life(2)
Outstanding as of January 1, 2015
4,712,330

 
$
38.52

 
4.59
Granted
893,220

 
$
42.00

 
8.41
Exercised
(813,838
)
 
$
23.47

 
 
Cancelled/forfeited
(260,730
)
 
$
45.84

 
 
Outstanding as of December 31, 2015
4,530,982

 
$
41.49

 
4.89
Exercisable as of December 31, 2015
1,792,242

 
$
31.00

 
2.15
 
 
Options
Outstanding
 
Exercise
Price
(1)
 
Remaining
Life(2)
Outstanding as of January 1, 2014
4,356,630

 
$
34.06

 
4.66
Granted
955,000

 
$
56.00

 
8.41
Exercised
(314,300
)
 
$
24.49

 
 
Cancelled/forfeited
(285,000
)
 
$
44.39

 
 
Outstanding as of December 31, 2014
4,712,330

 
$
38.52

 
4.59
Exercisable as of December 31, 2014
1,972,330

 
$
27.89

 
2.51
(1) Weighted average exercise price.
(2) Weighted average remaining contractual life in years.
The total intrinsic value of stock options exercised during the years ended December 31, 2015, 2014, and 2013 was $14,174, $7,466, and $9,925, respectively. The intrinsic value represents the difference between the exercise price and fair value of the underlying shares at the date of exercise.
At December 31, 2015, there was $15,073 of total unrecognized stock-based compensation expense related to outstanding unvested stock options granted under the plan. This expense is expected to be recognized over a weighted average period of 4.60 years. Any future change in estimated forfeitures will impact this amount. The total grant date fair value of stock options vesting under our stock option plan during 2015, 2014, and 2013 was $5,143, $7,287, and $3,508, respectively.
Total stock-based compensation expense related to our stock option plan was $5,841, $7,039, and $5,400 for 2015, 2014, and 2013, respectively.
Earnings Per Share
The following tables present a reconciliation of the denominators used in the computation of basic and diluted earnings per share and a summary of the options to purchase shares of common stock which were excluded from the diluted earnings calculation because they were anti-dilutive:
Reconciliation
2015
 
2014
 
2013
Basic weighted average shares outstanding
291,453,107

 
296,490,378

 
296,754,160

Weighted shares assumed upon exercise of stock options
592,335

 
822,866

 
929,428

Diluted weighted average shares outstanding
292,045,442

 
297,313,244

 
297,683,588


Summary of Anti-dilutive Options Excluded
2015
 
2014
 
2013
Options to purchase shares of common stock
2,611,367

 
1,903,767

 
1,273,527

Weighted average exercise prices of options
$
51.89

 
54.67

 
54.00


Any dilutive impact summarized above related to periods when the average market price of our stock exceeded the exercise price of the potentially dilutive options then outstanding.