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Derivative Financial Instruments (Tables)
9 Months Ended
Sep. 30, 2013
Components of Derivative Liabilities

The following tables summarize the components of our derivative liabilities and linked common shares as of September 30, 2013 and December 31, 2012.  

     September 30,
2013
     December 31,
2012
 

Derivative liabilities:

     

Embedded derivatives derived from:

     

Senior Convertible Notes

   $ 421,629      $ 1,529,583  
  

 

 

    

 

 

 

Warrant derivatives

     

Senior Convertible Notes

     1,463,281        1,921,094  

Series G Convertible Preferred Stock

     1,264,651        1,905,526  
  

 

 

    

 

 

 
     2,727,932        3,826,620  
  

 

 

    

 

 

 

Total derivative liabilities

   $ 3,149,561      $ 5,356,203  
  

 

 

    

 

 

 

 

     September 30,
2013
     December 31,
2012
 

Common shares linked to derivative liabilities:

     

Embedded derivatives:

     

Senior Convertible Notes

     1,980,938        4,247,343  
  

 

 

    

 

 

 

Warrant derivatives

     

Senior Convertible Notes

     1,562,500        1,562,500  

Series G Convertible Preferred Stock

     2,250,000        2,250,000  
  

 

 

    

 

 

 
     3,812,500        3,812,500  
  

 

 

    

 

 

 

Total common shares linked to derivative liabilities

     5,793,438        8,059,843  
  

 

 

    

 

 

 
Changes in Fair Values of Derivative Liabilities

The amounts that were reflected in our income related to our derivatives for the nine-month periods ended September 30, 2013 and 2012:

 

     Three months ended September 30,      Nine months ended September 30,  
     2013      2012      2013      2012  

Derivative income (expense):

           

Unrealized gains (losses) from fair value changes:

           

Senior Convertible Notes

   $ 202,034       $ 2,274,033       $ 244,303       $ 1,174,205   

Series G Convertible Preferred Stock

     —           286,335         —           158,711   

Warrant derivatives

     438,119         2,241,494         1,098,688         379,114   
  

 

 

    

 

 

    

 

 

    

 

 

 
     640,153         4,801,862         1,342,991         1,712,030   

Redemptions of Senior Convertible Notes

     230,300         —           863,651         —     
  

 

 

    

 

 

    

 

 

    

 

 

 

Total derivative income (expense)

   $ 870,453       $ 4,801,862       $ 2,206,642       $ 1,712,030   
  

 

 

    

 

 

    

 

 

    

 

 

 
Senior Convertible Note [Member]
 
Significant Assumptions Utilized in Valuation Technique

Significant inputs and results arising from the Monte Carlo Simulations process are as follows for the compound embedded derivative that has been bifurcated from our Senior Convertible Notes and classified in liabilities:

 

    September 30,
2013
  December 31,
2012

Quoted market price on valuation date

  $3.00   $2.97

Contractual conversion rate

  $3.17   $3.74

Contractual term to maturity

  0.58 Years   1.33 Years

Implied expected term to maturity

  0.57 Years   1.24 Years

Market volatility:

   

Range of volatilities

  24.0% - 46.2%   31.3% - 64.03%

Range of equivalent volatilities

  32.2% - 37.8%   38.6% - 45.0%

Contractual interest rate

  8.0% - 9.0%   8.0% - 9.0%

Range of equivalent market risk adjusted interest rates

  8.02% - 9.08%   9.0% - 9.1%

Range of equivalent credit risk adjusted yields

  0.58%   0.94% - 1.03%

Risk-free rates

  0.03% - 0.04%   0.02% - 0.16%
Compound Embedded Derivative [Member]
 
Changes in Fair Value Inputs and Assumptions

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 periods ended September 30, 2013 and 2012.

 

    Nine Months ended September 30,  
    2013     2012  

Balances at January 1

  $ 1,529,583     $ 2,680,133   

Issuances

    —          1,291,298   

Expirations from redemptions of host contracts reflected in income

    (863,652     (650,627

Changes in fair value inputs and assumptions reflected in income

    (244,302 )     (682,289
 

 

 

   

 

 

 

Balances at September 30

  $ 421,629     $ 2,638,515   
 

 

 

   

 

 

 
Warrant Derivatives [Member]
 
Significant Assumptions Utilized in Valuation Technique

Significant assumptions and utilized in the Binomial Lattice process are as follows for both the issuance dates of the warrants and September 30, 2013 and 2012 and December 31, 2012:

 

     September 30,    December 31,
2012
     2013    2012   

Linked common shares

   1,725,000    1,800,000    1,725,000

Quoted market price on valuation date

   $3.00    $3.15    $2.97

Contractual exercise rate

   $2.4648    $2.50    $2.4648

Term (years)

   0.03    1.03    0.78

Range of market volatilities

   24.0% - 31.5%    38.9% - 68.1%    33.1% - 49.17%

Risk free rates using zero coupon US Treasury Security rates

   0.03%    0.06% - 0.17%    0.02% - 0.11%

 

     September 30,    December 31,
2012
     2013    2012   

Linked common shares

   525,000    525,000    525,000

Quoted market price on valuation date

   $3.00    $3.15    $2.97

Contractual exercise rate

   $2.4648    $2.75    $2.4648

Term (years)

   0.54    1.54    1.28

Range of market volatilities

   26.3% - 46.1%    38.7% - 69.2%    33.8% - 63.6%

Risk free rates using zero coupon US Treasury Security rates

   0.02% - 0.04%    0.06% - 0.20%    0.02% - 0.16%

 

     September 30,    December 31,
2012
     2013    2012   

Linked common shares

   1,562,500    1,562,500    1,562,500

Quoted market price on valuation date

   $3.00    $3.15    $2.97

Contractual exercise rate

   $3.60    $3.60    $3.60

Term (years)

   3.61    4.60    4.35

Range of market volatilities

   38.2% - 60.5%    54.2% - 71.0%    39.2% - 70.2%

Risk free rates using zero coupon US Treasury Security rates

   0.02% - 0.63%    0.10% - 0.47%    0.05% - 0.54%
Changes in Fair Value Inputs and Assumptions

The following table reflects the issuances of derivative warrants and changes in fair value inputs and assumptions related to the derivative warrants during the nine months ended September 30, 2013 and 2012.

 

     Nine months ended September 30,  
     2013     2012  

Balances at January 1

   $ 3,826,619     $ 4,653,160  

Issuances

     —          363,542  

Changes in fair value inputs and assumptions reflected in income

     (1,098,688     (379,114
  

 

 

   

 

 

 

Balances at September 30

   $ 2,727,931     $ 4,637,588