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Debt (Tables)
3 Months Ended
Mar. 31, 2020
Debt Disclosure [Abstract]  
Schedule of debt valuation assumptions
The assumptions used in the Black-Scholes option-pricing model remain unchanged and are determined as follows:

March 31, 2020
Volatility98.01 %
Risk-free interest rate1.58 %
Expected life (in years)7
Dividend yield0 %  
The assumptions used in the Black-Scholes option-pricing model are determined as follows:
March 31, 2020December 31, 2019
Volatility98.04 %98.04 %
Risk-free interest rate0.55 %1.81 %
Weighted average expected life (in years)6.16.25
Dividend yield— %— %
Schedule of carrying amounts of debt
The net carrying amounts of the liability components consists of the following (in thousands):
March 31, 2020December 31, 2019
Principal$37,955  $36,502  
Less: debt discount(4,705) (4,905) 
Net carrying amount
$33,250  $31,597  
Schedule of interest expense recognized
The following table presents the interest expense recognized related to the 2024 Notes and 2022 Loan (in thousands):
Three months ended March 31,
20202019
Contractual interest expense
$1,453  $221  
Accretion of debt discount200  100  
Total$1,653  $321