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Warrants (Tables)
12 Months Ended
Dec. 31, 2021
Warrants and Rights Note Disclosure [Abstract]  
Summary of Assumptions using Black- Scholes Option Pricing Model to estimate fair value The aggregate fair value of the 2018 Offering Warrants of $7.4 million was estimated using the Black-Scholes option-pricing model with the following assumptions:
Upon Issuance
Common Stock Warrants:
Expected term (in years)7.0
Expected volatility (%)62.5%
Risk-free interest rate (%)2.8%
Expected dividend yield (%)0%
The fair value upon issuance of $3.4 million and $2.7 million were estimated using the Black-Scholes option-pricing model using the following assumptions:
Upon Issuance
2017 Placement Warrants2016 Placement Warrants
Expected term (in years)7.07.0
Expected volatility (%)62.9%61.6%
Risk-free interest rate (%)2.2%1.4%
Expected dividend yield (%)0%0%
The fair value of the 2017 and 2016 Placement Warrants at December 31, 2021 and 2020 was estimated using the Black-Scholes option-pricing model and the following weighted-average assumptions:
2017 Placement Warrants2016 Placement Warrants
December 31,
2021
December 31,
2020
December 31,
2021
December 31,
2020
Expected term (in years)2.03.01.62.6
Expected volatility86.0%86.9%85.5%86.3%
Risk-free interest rate0.4%0.2%0.3%0.2%
Expected dividend yield0%0%0%0%
Schedule of Key Terms of Placement Warrants The key terms and activity of the 2017 and 2016 Placement Warrants are summarized as follows:
Issuance DateTermExercise Price Per
Share
Warrants Exercised during the Year Ended
December 31, 2020
Warrants Outstanding at
December 31, 2020
Warrants Exercised during the Year Ended
December 31, 2021
Warrants Outstanding at
December 31, 2021
2017 Placement WarrantsJanuary 20177 years$3.17 — 1,618,890 118,868 1,500,022 
2016 Placement WarrantsAugust and September 20167 years$2.95 — 537,263 552 536,711 
 Total— 2,156,153 119,420 2,036,733 
The following table summarizes the change in fair value the Company recognized related to its 2017 and 2016 Placement Warrants in the consolidated statements of operations and comprehensive loss for the years ended December 31, 2021, 2020, and 2019:
December 31,
2021
December 31,
2020
December 31,
2019
Gain (loss) on 2017 Placement Warrants$(1,705)$367 $2,554 
Gain (loss) on 2016 Placement Warrants(579)142 (59)
$(2,284)$509 $2,496