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Share-Based Compensation
6 Months Ended
Jun. 30, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Share-Based Compensation
Share-Based Compensation

MRV records share-based compensation expense at fair value. The following table summarizes the impact on MRV's results of operations of recording share-based compensation for the three and six months ended June 30, 2016 and 2015 (in thousands):
 
 
Three months ended
 
Six months ended
 
 
June 30,
 
June 30,
 
 
2016
 
2015
 
2016
 
2015
Cost of goods sold
 
$
28

 
$
25

 
$
70

 
$
55

Product development and engineering
 
63

 
44

 
139

 
93

Selling, general and administrative
 
259

 
167

 
488

 
294

Total share-based compensation expense (1)
 
$
350

 
$
236

 
$
697

 
$
442


(1)
Income tax benefits realized from stock option exercises and similar awards were immaterial in all periods.

During the three and six months ended June 30, 2016, the Company granted 240,039 stock options with a related fair value of $4.86 per option and 88,869 restricted shares with a related fair value $10.95 per share. During the three and six months ended June 30, 2015, the Company granted 197,848 stock options with a related fair value of $4.16 per option and 71,872 restricted shares with a related fair value of $9.63 per share. No stock options or restricted shares were granted during the three months ended March 31, 2016 and 2015. As of June 30, 2016, the total unrecognized share-based compensation balance for unvested options, net of expected forfeitures, was $2.7 million and is expected to be amortized over a weighted-average period of 2.3 years.

Valuation Assumptions

MRV uses the Black-Scholes option pricing model to estimate the fair value of stock option awards or related modifications. The Black-Scholes model requires the use of subjective and complex assumptions, including the option's expected life and the underlying stock price volatility. MRV bases volatility on the Company's historical quoted prices and peer company data.
Six months ended June 30,
2016
2015
Risk-free interest rate
1.4
%
1.7
%
Dividend yield (1)


Volatility
46
%
43
%
Expected life (in years)
5.9

5.9


(1)
As the Company does not pay a dividend on a regular basis, and dividends paid in the past have been special in nature, a dividend rate of zero was used.