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Share-Based Compensation
9 Months Ended
Sep. 30, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
Share-Based Compensation

We recognized the following employee share-based compensation expense during the three and nine months ended September 30, 2015 and 2014:
 
Three Months Ended September 30,
 
Nine Months Ended September 30,
(Dollars in millions)
2015
 
2014
 
2015
 
2014
Share-based compensation
$
18

 
$
13

 
$
52

 
$
44

Related tax benefit
3

 
3

 
10

 
9


During the nine months ended September 30, 2015, we granted approximately 1.6 million performance units, which will vest with continued employment, if the Company meets certain market-based performance goals. The performance units have a weighted average grant date fair value of $10.45 per share based on the Monte Carlo simulation method. The assumptions used in the Monte Carlo simulation included a risk-free rate of 0.51%, volatility of 46.1% and a zero dividend yield. As of September 30, 2015, there was $16 million of unrecognized compensation related to our performance units. This cost is expected to be recognized over a weighted average period of 2 years.

During the nine months ended September 30, 2015, we also granted 6.8 million restricted shares at a weighted average grant date fair value of $12.73 per share. As of September 30, 2015, there was $104 million of unrecognized compensation related to our unvested restricted share grants. This cost is expected to be recognized over a weighted average period of 2 years.