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Share-Based Compensation
3 Months Ended
Mar. 31, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
Share-Based Compensation

During the first three months of 2015, we granted 341,100 stock appreciation rights (“SARs”), 65,640 restricted stock units, 61,740 performance shares, and 5,091 phantom stock units. For the three months ended March 31, 2015, total share-based compensation expense was $2.9 million and the related tax benefit was $1.1 million. For the three months ended March 31, 2014, total share-based compensation expense was $3.1 million and the related tax benefit was $1.2 million.
The estimated fair value of our 2015 SARs awards and related underlying assumptions are shown in the table below.
 
2015
Estimated fair value
$
18.16

Quarterly dividend rate
$
0.38

Expected term of stock appreciation rights, in years
4.7

Risk-free interest rate
1.2
%
Dividend yield
2.6
%
Expected stock price volatility
29.2
%
Present value of dividends
$
6.90