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Stock-Based Compensation
6 Months Ended
Jun. 30, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-Based Compensation
Stock-Based Compensation. Stock-based compensation expense before income tax expense for the three and six-month periods ended June 30, 2016 and 2015, consisted of the following (in thousands):
 
Three Months Ended June 30,
 
Six Months Ended June 30,
 
2016
 
2015
 
2016
 
2015
Cost of goods sold
$
141

 
$
109

 
$
264

 
$
202

Research and development
54

 
32

 
96

 
59

Selling, general and administrative
591

 
424

 
1,050

 
824

Stock-based compensation expense before taxes
$
786

 
$
565

 
$
1,410

 
$
1,085



As of June 30, 2016, the total remaining unrecognized compensation cost related to non-vested stock options, net of expected forfeitures, was approximately $8.6 million and is expected to be recognized over a weighted average period of 3.61 years.

During the three and six-month periods ended June 30, 2016, we granted awards representing 220,875 and 784,375 shares of our common stock, respectively. During the three and six-month periods ended June 30, 2015, we granted awards representing 150,000 and 596,800 shares of our common stock, respectively. We use the Black-Scholes methodology to value the stock-based compensation expense for options. In applying the Black-Scholes methodology to the options granted during the six-month periods ended June 30, 2016 and 2015, the fair value of our stock-based awards granted was estimated using the following assumptions for the periods indicated below:
 
Six months ended June 30,
 
2016
 
2015
Risk-free interest rate
1.25% - 1.40%
 
1.53% - 1.57%
Expected option life
5.0
 
5.0
Expected dividend yield
—%
 
—%
Expected price volatility
36.50% - 37.06%
 
34.00% - 35.11%


For purposes of the foregoing analysis, the average risk-free interest rate is determined using the U.S. Treasury rate in effect as of the date of grant, based on the expected term of the stock option. The expected term of the stock options is determined using the historical exercise behavior of employees. The expected price volatility is determined using a weighted average of daily historical volatility of our stock price over the corresponding expected option life and implied volatility based on recent trends of the daily historical volatility. Compensation expense is recognized on a straight-line basis over the service period, which corresponds to the related vesting period.