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Stock based compensation (Tables)
12 Months Ended
Dec. 31, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of Share-based Compensation, Stock Options, Activity
The following tables provide additional information related to the options:
2016 Activity
Number of shares
(in thousands)
 
Weighted average exercise price
 
Remaining weighted average contractual life in years
 
Intrinsic value
(in millions)
Beginning balance
5,250.4

 
$
12.94

 
5.7
 
$
15.1

Granted
818.6

 
$
9.39

 
 
 

Exercised
(151.3
)
 
$
11.31

 
 
 

Forfeited/expired
(46.6
)
 
$
20.93

 
 
 

Total outstanding
5,871.1

 
$
12.42

 
5.3
 
$
59.1

Options exercisable
4,403.4

 
$
11.74

 
4.2
 
$
45.2

Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions
The assumptions used in the Black-Scholes pricing model to estimate the fair value of the options granted in 2016, 2015 and 2014 are as follows:
 
2016
 
2015
 
2014
Weighted average fair value
$3.85
 
$6.36
 
$8.47
Assumptions
 
 
 
 
 
Expected life (in years)
6.25
 
6.30
 
6.25
Volatility
40%
 
33%
 
27%
Dividend yield
—%
 
—%
 
—%
Risk free interest rate
1.40%
 
1.81%
 
1.96%
Nonvested Restricted Stock Shares Activity
Further information about the restricted stock units follows (shares in thousands):
Restricted stock units
 
2016 Activity
 
Nonvested at beginning of year
1,212.2

Granted
1,075.8

Vested
(363.8
)
Forfeited
(159.1
)
Nonvested at the end of year
1,765.1

Restricted stock generally vests over a three or four year period from the date of grant. Further information about the restricted stock follows (shares in thousands):
 
 
2016 Activity
 
Nonvested at beginning of year
204.2

Granted
397.2

Vested
(174.1
)
Forfeited
(9.5
)
Nonvested at the end of year
417.8