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Stock-based Compensation
3 Months Ended
Mar. 31, 2019
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-based Compensation Stock-based Compensation
Stock compensation expense for equity-classified and liability-classified awards for the three months ended March 31, 2019 and 2018 was $0.6 million and $0.6 million, respectively. Stock compensation expense is recognized in cost of goods sold, selling, general and administrative expenses, and research and development expenses. At March 31, 2019, there was $6.0 million of unrecognized compensation cost relating to outstanding unvested equity instruments expected to be recognized over the weighted average period of 2.3 years.

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 

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 

The performance-based restricted stock units and phantom shares were valued with a Monte Carlo simulation model using the assumptions in the table below. 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
The stock options and stock appreciation rights were valued with a Black-Scholes option pricing model using the assumptions in the table below. Since the Company has limited historical volatility information available, the expected volatility was based on actual volatility for comparable public companies projected over the expected term of the Options and the actual volatility for the Company since the Business Combination. The risk-free interest rate was based on the U.S. Treasury yield curve at the time of the grant over the expected term of the Options. The expected life was estimated using the simplified method. 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

The fair value of the time-based restricted stock and the service-based phantom shares is equal to the closing price of the Company’s common stock on the grant date of the awards.