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Derivative Financial Instruments
12 Months Ended
Dec. 31, 2015
Derivative Instruments and Hedging Activities Disclosure [Abstract]  
Derivative Financial Instruments

NOTE J - DERIVATIVE FINANCIAL INSTRUMENTS

The following tables summarize the components of our derivative liabilities and linked common shares as of December 31, 2015 and December 31, 2014 and the amounts that were reflected in our income related to our derivatives for the periods then ended:

 

     December 31,
2015
     December 31,
2014
 

Derivative liabilities:

     

Embedded derivatives derived from:

     

2014 Convertible Promissory Notes

   $ 3,396,191      $ 2,115,318  
  

 

 

    

 

 

 
     3,396,191        2,115,318  

Warrant derivatives

     

Senior Convertible Notes

     6,225        111,127  
  

 

 

    

 

 

 

Warrant derivatives

     6,225        111,127  
  

 

 

    

 

 

 

Total derivative liabilities

   $ 3,402,416      $ 2,226,445  
  

 

 

    

 

 

 

 

     December 31,
2015
     December 31,
2014
 

Common shares linked to derivative liabilities:

     

Embedded derivatives:

     

2014 Convertible Promissory Notes*

     3,174,604        3,174,604  
  

 

 

    

 

 

 
     3,174,604        3,174,604  
  

 

 

    

 

 

 

Warrant derivatives

     

Senior Convertible Notes

     130,208        130,208  
  

 

 

    

 

 

 
     130,208        130,208  
  

 

 

    

 

 

 

Total common shares linked to derivative liabilities

     3,304,812        3,304,812  
  

 

 

    

 

 

 

 

* The common shares indexed to the 2014 Convertible Promissory Notes are shares indexed to Oceanica.

 

     Years ended December 31,  
     2015      2014  

Derivative income (expense):

     

Unrealized gains (losses) from fair value changes:

     

Senior Convertible Notes

   $ —         $ 47,243   

2014 Convertible Promissory Notes

     (1,280,873      141,983   

Warrant derivatives

     104,902         812,453   
  

 

 

    

 

 

 

Total derivative income (expense)

   $ (1,175,971    $ 1,001,679   
  

 

 

    

 

 

 

Current accounting principles that are provided in ASC 815 - Derivatives and Hedging require derivative financial instruments to be classified in liabilities and carried at fair value with changes recorded in income. In addition, the standards do not permit an issuer to account separately for individual derivative terms and features embedded in hybrid financial instruments that require bifurcation and liability classification as derivative financial instruments. Rather, such terms and features must be bundled together and fair valued as a single, compound embedded derivative. We have selected the Monte Carlo Simulations valuation technique to fair value the compound embedded derivative because we believe that this technique is reflective of all significant assumption types, and ranges of assumption inputs, that market participants would likely consider in transactions involving compound embedded derivatives. Such assumptions include, among other inputs, interest risk assumptions, credit risk assumptions and redemption behaviors in addition to traditional inputs for option models such as market trading volatility and risk free rates. We have selected Binomial Lattice to fair value our warrant derivatives because we believe this technique is reflective of all significant assumption types market participants would likely consider in transactions involving freestanding warrants derivatives. The Monte Carlo Simulations technique is a level three valuation technique because it requires the development of significant internal assumptions in addition to observable market indicators.

Significant inputs and results arising from the Monte Carlo Simulations process are as follows for the share purchase options that have been bifurcated from our Monaco Notes and classified in liabilities as of December 31, 2015, December 31, 2014 and the inception dates (Tranche 1 – August 14, 2014, Tranche 2 – October 1, 2014, Tranche 3 – December 1, 2014):

 

Tranche 1 – August 14, 2014:

   December 31, 2015    December 31, 2014    August 14, 2014

Underlying price on valuation date*

   $2.50    $2.50    $2.50

Contractual conversion rate

   $3.15    $3.15    $3.15

Contractual term to maturity**

   2.00 Years    1.62 Years    2.00 Years

Implied expected term to maturity

   1.82 Years    1.51 Years    1.85 Years

Market volatility:

        

Range of volatilities

   85.2% - 109.8%    58.5% - 78.1%    37.0% - 62.2%

Equivalent volatilities

   98.1%    69.7%    51.2%

Contractual interest rate

   11.00%    8.0% - 11.0%    8.0% - 11.0%

Equivalent market risk adjusted interest rates

   11.00%    9.50%    9.50%

Range of credit risk adjusted yields

   3.29% - 4.22%    4.66% - 5.27%    3.94% - 4.45%

Equivalent credit risk adjusted yield

   3.76%    4.86%    4.15%

Tranche 2 – October 1, 2014:

   December 31, 2015    December 31, 2014    October 1, 2014

Underlying price on valuation date*

   $2.50    $2.50    $2.50

Contractual conversion rate

   $3.15    $3.15    $3.15

Contractual term to maturity**

   2.00 Years    1.75 Years    2.00 Years

Implied expected term to maturity

   1.82 Years    1.60 Years    1.79 Years

Market volatility:

        

Range of volatilities

   85.2% - 109.8%    60.1% - 80.5%    58.6% - 75.3%

Equivalent volatilities

   98.1%    70.4%    68.00%

Contractual interest rate

   11.00%    8.0% - 11.0%    8.0% - 11.0%

Equivalent market risk adjusted interest rates

   11.00%    9.50%    9.25%

Range of credit risk adjusted yields

   3.29% - 4.22%    4.66% - 5.27%    3.97% - 4.61%

Equivalent credit risk adjusted yield

   3.76%    4.91%    4.24%

Tranche 3 – December 1, 2014:

   December 31, 2015    December 31, 2014    December 1, 2014

Underlying price on valuation date*

   $2.50    $2.50    $2.50

Contractual conversion rate

   $3.15    $3.15    $3.15

Contractual term to maturity**

   2.00 Years    1.92 Years    2.00 Years

Implied expected term to maturity

   1.82 Years    1.72 Years    1.76 Years

Market volatility:

        

Range of volatilities

   85.2% - 109.8%    59.8% - 78.1%    61.8% - 79.8%

Equivalent volatilities

   98.1%    69.5%    72.2%

Contractual interest rate

   11.00%    8.0% - 11.0%    8.0% - 11.0%

Equivalent market risk adjusted interest rates

   11.00%    9.25%    9.25%

Range of credit risk adjusted yields

   3.29% - 4.22%    4.66% - 5.27%    4.29% - 4.84%

Equivalent credit risk adjusted yield

   3.76%    4.91%    4.52%

 

* The instrument is convertible into shares of the Company’s subsidiary, Oceanica, which is not a publicly-traded entity. Therefore its shares do not trade on a public exchange. As a result, the underlying value must be based on private sales of the subsidiary’s shares because that is the best indicator of the value of the shares. There has been a sale of Oceanica’s shares in which a private investor accumulated 24% of the shares of which their last purchase price was for $2.50 per share in December 2013. Accordingly the underlying price used in the MCS calculations for the inception dates and years ended December 31, 2015 and 2014 was $2.50.
** On December 10, 2015 the term was extended to December 31, 2017.

The following table reflects the issuances of compound embedded derivatives, redemptions and changes in fair value inputs and assumptions related to the compound embedded derivatives during the years ended December 31, 2015 and 2014.

 

    

For the years ended

December 31,

 
     2015      2014  

Balances at January 1

   $ —        $ 47,243  

Issuances

     —          —    

Expirations from redemptions of host contracts reflected in income

     —          (47,243

Changes in fair value inputs and assumptions reflected in income

     —          —    
  

 

 

    

 

 

 

Balances at December 31

   $ —        $ —    
  

 

 

    

 

 

 

The fair value of the compound embedded derivative is significantly influenced by our trading market price, the price volatility in trading and the interest components of the Monte Carlo Simulation technique.

The following table reflects the issuances of the Share Purchase Option derivatives and changes in fair value inputs and assumptions for these derivatives during the years ended December 31, 2015 and 2014.

 

    

For the years ended

December 31,

 
     2015      2014  

Balances at January 1

   $ 2,115,318      $ —    

Issuances

     —          1,985,079  

Changes in fair value inputs and assumptions reflected in income

     1,280,873        130,239  
  

 

 

    

 

 

 

Balances at December 31

   $ 3,396,191      $ 2,115,318  
  

 

 

    

 

 

 

The fair value of all Share Purchase Option derivatives is significantly influenced by our trading market price, the price volatility in trading and the risk free interest components of the Binomial Lattice technique.

On October 11, 2010, we also issued warrants to acquire 1,800,000 of our common shares in connection with the Series G Convertible Preferred Stock Financing. During April 4-8, 2011, we issued warrants to acquire 525,000 of our common shares in connection the Series G Convertible Preferred Stock and Warrant Settlement Transaction. Finally, on November 8, 2011, we issued warrants to acquire 1,302,083 of our common shares in connection with the Senior Convertible Note Financing Transaction. These warrants required liability classification as derivative financial instruments because certain down-round anti-dilution protection or price protection features included in the warrant agreements are not consistent with the concept of equity. We applied the Binomial Lattice valuation technique in estimating the fair value of the warrants because we believe that this technique is most appropriate and reflects all of the assumptions that market participants would likely consider in transactions involving the warrants, including the potential incremental value associated with the down-round anti-dilution protections.

The Binomial Lattice technique is a level three valuation technique because it requires the development of significant internal assumptions in addition to observable market indicators. All remaining warrants linked to 1,725,000 shares of common stock were exercised on October 11, 2013.

All remaining warrants linked to 525,000 shares of common stock expired unexercised on April 13, 2014. Therefore, the warrants linked to 525,000 shares of common stock were not outstanding as of December 31, 2015 or December 31, 2014.

Significant assumptions and utilized in the Binomial Lattice process are as follows for the warrants linked to 130,208 shares of common stock as of December 31, 2015 and December 31, 2014:

 

     December 31
     2015    2014

Linked common shares

   130,208    130,208

Quoted market price on valuation date

   $3.24    $11.16

Contractual exercise rate

   $43.20    $43.20

Term (years)

   1.35    2.40

Range of market volatilities

   92.9% - 113.2%    59.9% - 73.9%

Risk free rates using zero coupon US Treasury Security rates

   0.16% - 0.65%    0.04% - 0.67%

Of the 108,507 common shares for which the warrant issued on November 8, 2011 could be exercised, 36,169 of those common shares were accessible only based upon the Company’s election to require the lender to provide the additional financing. When the lender provided additional financing of $8,000,000 on May 10, 2012, the additional 36,169 of common shares became accessible. Warrants indexed to an additional 260,417 were issued in conjunction with the additional financing.

The following table reflects the issuances of derivative warrants and changes in fair value inputs and assumptions related to the derivative warrants during the years ended December 31, 2015 and 2014.

 

     Years ended December 31,  
     2015      2014  

Balances at January 1

   $ 111,127      $ 923,580  

Changes in fair value inputs and assumptions reflected in income

     (104,902      (812,453
  

 

 

    

 

 

 

Balances at December 31

   $ 6,225      $ 111,127  
  

 

 

    

 

 

 

The fair value of all warrant derivatives is significantly influenced by our trading market price, the price volatility in trading and the risk free interest components of the Binomial Lattice technique.