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

During the nine months ended September 30, 2018, we granted 320,100 non-qualified employee stock options, 61,490 restricted stock units, 58,440 performance shares, and 17,709 phantom stock units. For the three months and nine months ended September 30, 2018, total share-based compensation expense was $5.7 million and $15.4 million and the related tax benefits were $1.4 million and $3.9 million. For the three months and nine months ended September 30, 2017, total share-based compensation expense was $3.4 million and $10.6 million and the related tax benefits were $1.3 million and $4.1 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