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Share-Based Compensation
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Share-Based Compensation Share-Based Compensation

During the six months ended June 30, 2019, we granted 326,900 non-qualified employee stock options, 42,700 restricted stock units, 58,340 performance shares, and 11,884 phantom stock units. For the three months and six months ended June 30, 2019, total share-based compensation expense was $4.5 million and $9.7 million and the related tax benefits were $1.1 million and $2.4 million. For the three months and six months ended June 30, 2018, total share-based compensation expense was $4.7 million and $9.6 million the related tax benefits were $1.2 million and $2.4 million.

The estimated fair value of our 2019 non-qualified employee stock option awards and related underlying assumptions are shown in the table below.
 
2019
Weighted-average estimated fair value
$22.24
Quarterly dividend rate
$0.46
Expected term of stock options, in years
4.2
Risk-free interest rate
2.5%
Dividend yield
2.6%
Expected stock price volatility
28.9%
Present value of dividends
$7.29