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Stock-based Compensation
9 Months Ended
Sep. 30, 2013
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Stock-based Compensation
Stock-based Compensation. Stock-based compensation expense before income taxes for the three and nine-month periods ended September 30, 2013 and 2012 consisted of the following (in thousands):

 
Three Months Ended
 
Nine Months Ended
 
September 30,
 
September 30,
 
2013
 
2012
 
2013
 
2012
Cost of goods sold
$
18

 
$
49

 
$
98

 
$
190

Research and development
20

 
26

 
69

 
93

Selling, general, and administrative
251

 
354

 
905

 
1,171

Stock-based compensation expense before income taxes
$
289

 
$
429

 
$
1,072

 
$
1,454



As of September 30, 2013, the total remaining unrecognized compensation cost related to non-vested stock options, net of expected forfeitures, was approximately $4.7 million and is expected to be recognized over a weighted-average period of 3.5 years.

During the three and nine-month periods ended September 30, 2013, we granted awards representing 172,500 and 347,500 shares, respectively, of our common stock. During the three and nine-month periods ended September 30, 2012, we granted awards representing 7,500 and 127,500 shares of common stock, respectively. We use the Black-Scholes methodology to value stock-based compensation expense for options. In applying the Black-Scholes methodology to our outstanding option grants, we used the following assumptions:

 
Nine Months Ended
 
September 30,
 
2013
 
2012
Risk-free interest rate
0.65% - 1.16%
 
0.54% - 0.95%
Expected option life
4.2 - 6.0 years
 
4.2 - 6.0 years
Expected dividend yield
 
Expected price volatility
34.08% - 41.67%
 
42.01% - 44.56%


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. 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.