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Warrants (Tables)
12 Months Ended
Dec. 31, 2020
Warrants And Rights Note Disclosure [Abstract]  
Schedule of Warrant Activity

As of December 31, 2020, the Company had outstanding warrants to purchase 15,541 shares of common stock. The following table summarizes warrant activity as of December 31, 2020, 2019, and 2018:

 

 

 

Warrants

 

 

Weighted average

exercise price

 

Outstanding at December 31, 2017

 

 

2,099,199

 

 

$

5.21

 

Issued

 

 

15,750

 

 

 

3.06

 

Exercised

 

 

(101,310

)

 

 

1.30

 

Expired

 

 

(1,890,602

)

 

 

5.33

 

Outstanding at December 31, 2018

 

 

123,037

 

 

 

6.35

 

Issued

 

 

58,334

 

 

 

8.10

 

Exercised

 

 

(111,715

)

 

 

6.73

 

Outstanding at December 31, 2019

 

 

69,656

 

 

 

7.21

 

Issued

 

 

15,541

 

 

 

80.43

 

Exercised

 

 

(69,656

)

 

 

7.21

 

Outstanding at December 31, 2020

 

 

15,541

 

 

$

80.43

 

Summary of Initial Fair Value of Warrants Estimated using Black - Scholes Option Pricing Model

The initial fair value of the warrants were estimated using the Black‑Scholes option pricing model with the following assumptions:

 

Black-Scholes option valuation assumptions

 

2020

warrants

 

 

2019

warrants

 

 

2018

warrants

 

 

2017

warrants

 

 

2016

warrants

 

 

2014

warrants

 

 

2013

warrants

 

Risk-free interest rate

 

 

0.5

%

 

 

2.8

%

 

 

3.0

%

 

 

1.7

%

 

 

1.8

%

 

 

1.6

%

 

 

1.4

%

Dividend yield

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Volatility

 

 

88

%

 

 

97

%

 

 

85

%

 

 

61

%

 

 

73

%

 

 

70

%

 

 

64

%

Weighted average contractual term

 

7 years

 

 

7 years

 

 

7 years

 

 

1 year

 

 

7 years

 

 

5 years

 

 

5 years