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Fair Value Measurements
12 Months Ended
Dec. 31, 2017
Fair Value Disclosures [Abstract]  
Fair Value Measurements
Fair Value Measurements

The Fair Value Measurements and Disclosures Topic of the Financial Accounting Standards Board (“FASB”) Accounting Standards Codification (the “Codification”) defines fair value, establishes a framework for measuring fair value in applying generally accepted accounting principles, and expands disclosures about fair value measurements. This Codification topic identifies two kinds of inputs that are used to determine the fair value of assets and liabilities: observable and unobservable. Observable inputs are based on market data or independent sources while unobservable inputs are based on the Company’s own market assumptions. Once inputs have been characterized, this Codification topic requires companies to prioritize the inputs used to measure fair value into one of three broad levels. Fair values determined by Level 1 inputs utilize quoted prices (unadjusted) in active markets for identical assets or liabilities. Fair values identified by Level 2 inputs utilize observable inputs other than Level 1 prices, such as quoted prices for similar assets or liabilities, quoted prices in markets that are not active or other inputs that are observable or can be corroborated by observable market data for substantially the full term of the related assets or liabilities. Fair values identified by Level 3 inputs are unobservable data points and are used to measure fair value to the extent that observable inputs are not available. Unobservable inputs reflect the Company’s own assumptions about the assumptions that market participants would use at pricing the asset or liability.

The following tables present information about the Company’s assets and liabilities that are measured at fair value on a recurring basis for the periods presented and indicates the fair value hierarchy of the valuation techniques it utilized to determine such fair value. In general, fair values determined by Level 1 inputs utilize quoted prices (unadjusted) in active markets for identical assets or liabilities. Fair values determined by Level 2 inputs utilize data points that are observable such as quoted prices, interest rates, and yield curves. Fair values determined by Level 3 inputs are unobservable data points for the asset or liability, and include situations where there is little, if any, market activity for the asset or liability.

 
December 31, 2017
 
Fair Value Measurements at December 31, 2017 Using
 
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
 
Significant
Other
Observable
Inputs
(Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 

 
 

 
 

 
 

Cash equivalents
$
1,744,965

 
$
1,744,965

 
$

 
$

Total
$
1,744,965

 
$
1,744,965

 
$

 
$



The following table provides a summary of changes in the fair value of the Company’s Level 3 financial liabilities between December 31, 2015 and December 31, 2017.

 
2014 Offering
 
2013 Offering
 
Total
Balance at December 31, 2015
$
227,992

 
$
52,311

 
$
280,303

Change in fair value of warrant liability
(223,880
)
 
(51,782
)
 
(275,662
)
Balance at December 31, 2016
$
4,112

 
$
529

 
$
4,641

Change in fair value of warrant liability from repricing (see Note 12)

177,999

 
66,612

 
244,611

Change in fair value of warrant liability
(147,278
)
 
(61,202
)
 
(208,480
)
Repurchase and retirement of warrants (see Note 12)

(34,833
)
 
(5,939
)
 
(40,772
)
Balance at December 31, 2017
$

 
$

 
$



 
December 31, 2016
 
Fair Value Measurements at December 31, 2016 Using
 
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
 
Significant
Other
Observable
Inputs
(Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 

 
 

 
 

 
 

Cash equivalents
$
833,831

 
$
833,831

 
$

 
$

Total
$
833,831

 
$
833,831

 
$

 
$

Liabilities:
 

 
 

 
 

 
 

Common stock warrants
$
4,641

 
$

 
$

 
$
4,641

Total
$
4,641

 
$

 
$

 
$
4,641



Due to the lack of market quotes relating to our common stock warrants, the fair value of the common stock warrants was determined at December 31, 2016 using the Black-Scholes model, which is based on Level 3 inputs. As of December 31, 2016, inputs used in the Black-Scholes model are presented below. The assumptions used may change as the underlying sources of these assumptions and market conditions change. Based on the Black-Scholes model, the Company recorded a common stock warrants liability of $4,641 at December 31, 2016.

 
Black-Scholes Inputs to Warrant Liability Valuation at December 31, 2016
 
Stock Price
 
Exercise
Price
 
Expected
Volatility
 
Risk-Free
Interest
 
Expected
Term
 
Dividends
Warrants:
 

 
 

 
 

 
 

 
 
 
 
2014 Offering
$
5.92

 
$
65.28

 
64.19
%
 
1.33
%
 
2 years, 6 months
 
none
2013 Offering
$
5.92

 
$
64.00

 
71.61
%
 
0.99
%
 
1 year, 5 months
 
none