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Stock-based Compensation (Tables)
3 Months Ended
Mar. 31, 2019
United States  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of shares granted
On March 29, 2019, the Company granted the following share-based awards to members of management employed in the United States. These awards will be settled in shares of the Company's common stock and are equity-classified. The grant date fair value of these awards will be recognized on a straight-line basis over the vesting period. The performance-based restricted stock units each have a performance period that ends on December 31, 2021 and the other awards vest ratably on the first, second and third anniversaries of the grant date.
Number of shares
Performance-based restricted stock units467,500 
Time-based restricted stock363,650 
Options324,450 
Total1,155,600 
Outside the United States  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of shares granted
On March 29, 2019, the Company also granted the following share-based awards to members of management employed in countries outside of the United States. These awards will be settled in cash and are liability-classified. Therefore, the fair value of these liability-classified awards will be re-measured on each balance sheet date. The performance-based phantom shares each have a performance period that ends on December 31, 2021 and the other awards vest ratably on the first, second and third anniversaries of the grant date.
Number of shares
Performance-based phantom shares46,200 
Service-based phantom shares75,250 
Stock appreciation rights5,450 
Total126,900 
Performance-based Restricted Stock Units and Phantom Shares  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of valuation assumptions Based on these assumptions, the grant date fair value of the performance-based restricted stock units and phantom shares was estimated to be $2.97 per share.
Volatility65.1 %
Risk-free interest rate2.36 %
Dividend yield— %
Grant date stock price$3.34 
Performance period2.8 years
Stock Options And Stock Appreciation Rights  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of valuation assumptions Based on these assumptions, the grant-date fair value of the stock options and stock appreciation rights was estimated to be $1.72.
Volatility52.33 %
Risk-free interest rate2.27 %
Dividend yield— %
Grant date stock price$3.34 
Expected life6 years