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Share-based Compensation (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Schedule of Compensation Cost for Share-based Payment Arrangements, Allocation of Share-based Compensation Costs by Plan
We recognized the following stock compensation expense:
Year Ended December 31,
(in Millions)202020192018
Stock option expense, net of taxes of $1.1, $1.5 and $1.3 (1)
$4.0 $5.7 $4.9 
Restricted stock expense, net of taxes of $2.0, $2.2 and $2.3 (2)
7.4 8.2 8.4 
Performance based expense, net of taxes of $0.9, $1.7 and $1.2
3.5 6.3 4.4 
Total stock compensation expense, net of taxes of $4.0, $5.4 and $4.8 (3)
$14.9 $20.2 $17.7 
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(1)    We applied an estimated forfeiture rate of 4.0% per stock option grant in the calculation of the expense.
(2)     We applied an estimated forfeiture rate of 2.0% of outstanding grants in the calculation of the expense.
(3)    This expense is classified as "Selling, general and administrative expenses" in our consolidated statements of income (loss). Total stock compensation expense, net of tax, not included in the above table of $2.2 million, $0.1 million, and $4.0 million for the years ended December 31, 2020, 2019 and 2018, respectively, is included in "Discontinued operations, net of income taxes" in the consolidated statements of income (loss).
Black Scholes Valuation Assumptions for Stock Option Grants
Black Scholes valuation assumptions for stock option grants: 
202020192018
Expected dividend yield1.91%1.83%0.77%
Expected volatility26.60%26.07%26.85%
Expected life (in years)6.56.56.5
Risk-free interest rate1.19%2.53%2.79%
Summary of Stock Option Activity
The following summary shows stock option activity for employees under the Plan for the three years ended December 31, 2020:
(Shares in Thousands)Number of Options Granted But Not ExercisedWeighted-Average Remaining Contractual LifeWeighted-Average Exercise Price Per ShareAggregate Intrinsic Value (in Millions)
December 31, 2017 (920 shares exercisable and 1,452 shares expected to vest or be exercised)
2,435 6.3 years$48.37 $112.7 
Granted250 85.19 
Exercised(260)41.80 11.7 
Forfeited(61)52.51 
December 31, 2018 (1,044 shares exercisable and 1,287 shares expected to vest or be exercised)
2,364 6.0 years$52.87 $52.5 
Granted380 75.76 
Conversion impact from Livent spin (1)
210 53.09 
Exercised(1,414)39.17 67.2 
Forfeited(36)67.82 
December 31, 2019 (628 shares exercisable and 835 shares expected to vest or be exercised)
1,504 6.5 years$58.06 $62.8 
Granted302 92.24 
Exercised(549)48.02 31.3 
Forfeited(22)81.84 
December 31, 2020 (388 shares exercisable and 818 shares expected to vest or be exercised)
1,235 7.0 years$70.44 $54.9 

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(1)Awards converted as a result of March 1, 2019 Livent separation.
Summary of Restricted Award Activity
The following table shows our employee restricted award activity for the three years ended December 31, 2020:
Restricted EquityPerformance Based Equity
(Number of Awards in Thousands)
Number of
awards
Weighted-Average Grant Date Fair Value Per ShareNumber of
awards
Weighted-Average Grant Date Fair Value Per Share
Nonvested at December 31, 2017489 $47.63 260 $53.36 
Granted137 84.94 133 88.65 
Vested(154)55.14 (58)81.15 
Forfeited(13)65.39 — — 
Nonvested at December 31, 2018459 $55.75 335 $56.42 
Granted108 76.22 106 83.89 
Conversion impact from Livent spin (1)
(29)67.46 (12)84.58 
Vested(223)37.54 (222)42.18 
Forfeited(13)69.69 (1)78.92 
Nonvested at December 31, 2019302 $67.89 206 $72.06 
Granted92 91.83 111 108.74 
Vested(84)50.14 (115)58.37 
Forfeited(12)77.42 — — 
Nonvested at December 31, 2020298 $79.91 202 $88.48 
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(1)Awards transferred to Livent employees as a result of March 1, 2019 Livent separation.