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Warrants (Tables)
6 Months Ended
Jun. 30, 2018
Equity [Abstract]  
Summary of Assumptions using Black- Scholes Option Pricing Model to estimate fair value

The fair value of the 2016 Placement Warrants of $6.8 million and $9.9 million at June 30, 2018 and December 31, 2017, respectively, was estimated using the Black-Scholes option pricing model and the following weighted-average assumptions:

 

 

 

June 30,

2018

 

 

December 31,

2017

 

2016 Placement Warrant:

 

 

 

 

 

 

 

 

Expected term (in years)

 

 

5.2

 

 

 

5.7

 

Expected volatility

 

59.8%

 

 

62.1%

 

Risk-free interest rate

 

2.7%

 

 

2.2%

 

Expected dividend yield

 

0%

 

 

0%

 

 

The fair value of the 2017 Placement Warrants of $8.6 million and $12.5 million at June 30, 2018 and December 31, 2017, respectively, was estimated using the Black-Scholes option pricing model and the following weighted-average assumptions:

 

 

 

June 30,

2018

 

 

December 31,

2017

 

2017 Placement Warrant:

 

 

 

 

 

 

 

 

Expected term (in years)

 

 

5.6

 

 

 

6.1

 

Expected volatility

 

60.0%

 

 

62.3%

 

Risk-free interest rate

 

2.8%

 

 

2.3%

 

Expected dividend yield

 

0%

 

 

0%