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Stock Based Compensation
3 Months Ended
Mar. 31, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Employee Stock Purchase Plan Stock Options and Warrants
Stock-Based Compensation. Stock-based compensation expense before income tax expense for the three-month periods ended March 31, 2017 and 2016, consisted of the following (in thousands):
 
Three Months Ended March 31,
 
2017
 
2016
Cost of goods sold
$
96

 
$
123

Research and development
52

 
42

Selling, general, and administrative
429

 
459

Stock-based compensation expense before taxes
$
577

 
$
624



As of March 31, 2017, the total remaining unrecognized compensation cost related to non-vested stock options, net of expected forfeitures, was approximately $7.2 million and is expected to be recognized over a weighted average period of 3.19 years.

During the three-month period ended March 31, 2017, we did not grant any new stock-based awards. During the three-month period ended March 31, 2016, we granted stock-based awards representing 563,500 shares of our common stock. 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 three-month period ended March 31, 2016, the fair value of our stock-based awards granted was estimated using the following assumptions for the periods indicated below:

 
 
Three months ended
 
 
March 31, 2016
Risk-free interest rate
 
1.4%
Expected option life
 
5.0 years
Expected dividend yield
 
—%
Expected price volatility
 
37.06%


For the purpose 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. We determine the expected term of the stock options using the historical exercise behavior of employees. The expected price volatility was 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. For options with a vesting period, compensation expense is recognized on a straight-line basis over the service period, which corresponds to the vesting period.