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Stock Compensation
9 Months Ended
Sep. 30, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock Compensation
Stock Compensation
 
The Compensation Committee of our Board of Directors approved the grant of RSUs and performance share units (PSUs) shown in the table below during the first nine months of 2015. 
 
 
 
Weighted-average Per Share
 
Granted
(In millions)
 
Grant Date
Fair Value
RSUs
0.7

 
$
21.72

PSUs
0.4

 
$
22.97



We calculated the fair value of the RSUs at grant date based on the closing market price of our common stock at the date of grant. The number of PSUs that ultimately vest is contingent on achieving specified return on invested capital targets and specified total shareholder return targets relative to peer companies. For the portion of the award based on the return on invested capital performance metric, we estimated the fair value of the PSUs at grant date based on the closing market price of our common stock at the date of grant adjusted for the value of assumed dividends over the period because the award is not dividend protected. For the portion of the award based on shareholder returns, we estimated the fair value of the PSUs at grant date using various assumptions as part of a Monte Carlo simulation. The expected term represents the period from the grant date to the end of the three-year performance period. The risk-free interest rate of 0.89% was based on U.S. Treasury constant maturity rates at the grant date. The dividend yield of 0.98% was calculated by dividing the expected annual dividend by the average stock price over the prior year. The expected volatility of 33.9% was based on historical volatility over the prior three years using daily stock price observations.

Stock options and stock appreciation rights (SARs) related to 0.2 million shares were exercised and a small number of shares were forfeited in 2015. We received $2 of cash from the exercise of stock options and we paid $2 of cash to settle SARs and RSUs during 2015. We issued 0.4 million shares of common stock based on the vesting of RSUs.

We recognized stock compensation expense of $6 and $2 during the third quarter of 2015 and 2014 and $14 and $11 during the first nine months of 2015 and 2014. At September 30, 2015, the total unrecognized compensation cost related to the nonvested awards granted and expected to vest was $22. This cost is expected to be recognized over a weighted-average period of 2.0 years.