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Marketable Securities and Fair Value Measurements (Tables)
12 Months Ended
Dec. 31, 2018
Fair Value Disclosures [Abstract]  
Financial assets and liabilities measured at fair value on a recurring basis
The following table presents the Company’s assets that are measured at fair value on a recurring basis, and are determined using the following inputs as of December 31, 2018:
 
 
Fair Value Measurements at
 
December 31, 2018
 
Total
 
Quoted Prices
in Active Markets
(Level 1)
 
Significant
Other Unobservable
Inputs
(Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 
 
 
 
 
 
 
Money market funds
$
9,646,507

 
$
9,646,507

 
$

 
$

Mutual funds
57,314,871

 

 
57,314,871

 

US corporate debt securities
223,981

 

 
223,981

 

Investments in affiliated entities
9,405,913

 
9,405,913

 

 

Total assets
$
76,591,272

 
$
19,052,420

 
$
57,538,852

 
$


The following table presents the Company’s assets and liabilities that are measured at fair value on a recurring basis, and are determined using the following inputs as of December 31, 2017:
 
 
Fair Value Measurements at
 
December 31, 2017
 
Total
 
Quoted Prices
in Active Markets
(Level 1)
 
Significant
Other Unobservable
Inputs
(Level 2)
 
Significant
Unobservable
Inputs
(Level 3)
Assets:
 
 
 
 
 
 
 
Money market funds
$
9,843,482

 
$
9,843,482

 
$

 
$

Mutual funds
68,565,889

 

 
68,565,889

 

US corporate debt securities
35,072,955

 

 
35,072,955

 

Investments in affiliated entities
11,394,480

 
11,394,480

 

 

Total assets
$
124,876,806

 
$
21,237,962

 
$
103,638,844

 
$

Liabilities:
 
 
 
 
 
 
 
Common stock warrants
$
360,795

 
$

 
$

 
$
360,795

Total liabilities
$
360,795

 
$

 
$

 
$
360,795

Assumptions used to estimate the fair values of the common stock warrants
The assumptions used to estimate the fair value of common stock warrants at December 31, 2017 is presented below:
 
 
Year Ended December 31, 2017
Risk-free interest rate
1.75%
Expected volatility
55%
Expected life in years
0.70
Dividend yield
Changes in fair value of the financial liabilities
The following table presents the changes in fair value of the Company’s total Level 3 financial liabilities for the years ended December 31, 2018 and 2017:
 
 
Year Ended December 31,
 
2018
 
2017
Balance at beginning of year
$
360,795

 
$
1,167,614

Decrease in fair value included in change in fair value of common stock warrants
(360,795
)
 
(806,819
)
Balance at end of year
$

 
$
360,795