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Share-Based Compensation
6 Months Ended
Jun. 30, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
Share-Based Compensation

During the six months ended June 30, 2018, we granted 320,100 non-qualified employee stock options, 45,250 restricted stock units, 58,440 performance shares, and 12,194 phantom stock units. For the three months and six months ended June 30, 2018, total share-based compensation expense was $4.7 million and $9.6 million and the related tax benefits were $1.2 million and $2.4 million. For the three months and six months ended June 30, 2017, total share-based compensation expense was $3.9 million and $7.2 million and the related tax benefits were $1.5 million and $2.7 million.

The estimated fair value of our 2018 non-qualified employee stock option awards and related underlying assumptions are shown in the table below.
 
2018
Weighted average estimated fair value
$
21.87

Quarterly dividend rate
$
0.44

Expected term of stock options and stock appreciation rights, in years
4.5

Risk-free interest rate
1.4
%
Dividend yield
2.5
%
Expected stock price volatility
27.9
%
Present value of dividends
$
7.51