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Derivative Financial Instruments (Tables)
9 Months Ended
Sep. 30, 2012
Derivative [Line Items]  
Components of derivative liabilities

The following tables summarize the components of our derivative liabilities and linked common shares as of September 30, 2012 and December 31, 2011 and the amounts that were reflected in our income related to our derivatives for the three-month and nine-month periods ended September 30, 2012 and 2011:

 

                 
    September 30,
2012
    December 31,
2011
 

Derivative liabilities:

               

Embedded derivatives derived from:

               

Senior Convertible Notes

  $ 2,638,514     $ 2,521,422  

Series G Convertible Preferred Stock

    —         158,711  
   

 

 

   

 

 

 
      2,638,514       2,680,133  
   

 

 

   

 

 

 

Warrant derivatives

               

Senior Convertible Notes

    2,369,063       1,898,785  

Series G Convertible Preferred Stock

    2,268,525       2,754,375  
   

 

 

   

 

 

 
      4,637,588       4,653,160  
   

 

 

   

 

 

 

Total derivative liabilities

  $ 7,276,102     $ 7,333,293  
   

 

 

   

 

 

 
     
    September 30,
2012
    December 31,
2011
 

Common shares linked to derivative liabilities:

               

Embedded derivatives:

               

Senior Convertible Notes

    4,665,850       2,673,797  

Series G Convertible Preferred Stock

    —         140,000  
   

 

 

   

 

 

 
      4,665,850       2,813,797  
   

 

 

   

 

 

 

Warrant derivatives

               

Senior Convertible Notes

    1,562,500       1,302,083  

Series G Convertible Preferred Stock

    2,325,000       2,325,000  
   

 

 

   

 

 

 
      3,887,500       3,627,083  
   

 

 

   

 

 

 

Total common shares linked to derivative liabilities

    8,553,350       6,440,880  
   

 

 

   

 

 

 
Changes in fair values of derivative liabilities
                                 
    Three months ended September 30,     Nine months ended September 30,  
    2012     2011     2012     2011  

Derivative income (expense):

                               

Unrealized gains (losses) from fair value changes:

                               

Senior Convertible Notes

  $ 2,274,033     $ —       $ 1,174,205     $ —    

Series G Convertible Preferred Stock

    286,355       1,185,555       158,711       740,208  

Warrant derivatives

    2,241,494       564,454       379,114       425,179  
   

 

 

   

 

 

   

 

 

   

 

 

 

Total derivative income (expense)

  $ 4,801,862     $ 1,750,009     $ 1,712,030     $ 1,165,387  
   

 

 

   

 

 

   

 

 

   

 

 

 
Compound Embedded Derivatives [Member]
 
Derivative [Line Items]  
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, 2012 and 2011.

 

                 
   

Nine Months ended

September 30,

 
    2012     2011  

Balances at January 1

  $ 2,680,133     $ 4,075,344  

Issuances:

    1,291,298          

Expirations from redemptions of host contracts reflected in income

    (650,627     (676,718

Changes in fair value inputs and assumptions reflected in income

    (682,289     (63,490
   

 

 

   

 

 

 

Balances at September 30

  $ 2,638,515     $ 3,335,136  
   

 

 

   

 

 

 
Senior Convertible Notes [Member]
 
Derivative [Line Items]  
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,
2012
  December 31,
2011

Quoted market price on valuation date

  $3.15   $2.74

Contractual conversion rate

  $3.17 - $3.74   $3.74

Range of effective contractual conversion rates

  NA   $2.74 - $2.89

Contractual term to maturity

  1.58 Years   2.33 Years

Implied expected term to maturity

  1.32 – 1.43 Years   2.06 Years

Market volatility:

       

Range of volatilities

  21.4% - 70.1%   55.6% - 101.8%

Range of equivalent volatilities

  44.6% - 57.0%   78.9% - 84.3%

Contractual interest rate

  8.0% - 9.0%   8.0%

Range of equivalent market risk adjusted interest rates

  8.02% - 9.08%   8.0% - 8.1%

Range of equivalent credit risk adjusted yields

  0.39% - 2.03%   3.1% - 3.5%

Risk-free rates

  0.17% - 0.31%   0.01% - 0.25%
Series G Convertible Preferred Stock [Member]
 
Derivative [Line Items]  
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 Series G Convertible Preferred Stock and classified in liabilities:

 

             
    September 30,   December 31,
    2012 (1)   2011   2011

Quoted market price on valuation date

  $3.17   $2.46   $2.74

Contractual conversion rate

  $1.78   $1.78   $1.78

Implied expected term

  0.29 Years   0.70 Years   0.46 Years

Market volatility:

           

Range of volatilities

  34.0% - 72.3%   69.73% - 125.36%   49.5% - 101.8%

Equivalent volatility

  47.1%   104.27%   74.1%

Market risk adjusted interest rate:

           

Range of rates (including premiums)

  19.0% - 35.0%   12.0% - 32.00%   13.0% - 32.0%

Equivalent market risk adjusted interest rate

  20.8%   14.46%   15.3%

Credit risk adjusted yield rate:

           

Range of rates

  1.3% - 1.8%   3.21% - 4.85%   3.1% - 3.7%

Equivalent credit-risk adjusted yield rate

  1.4%   3.20%   3.1%

Risk free rates using zero coupon US Treasury Security rates:

           

Range of rates

  0.06% - 0.17%   0.13% - 0.42%   0.12% - 0.25%

 

(1) The calculation of the fair value of the embedded derivative was carried out as of July 13, 2012, which was the redemption date.
Derivatives Warrant [Member]
 
Derivative [Line Items]  
Significant assumptions utilized in valuation technique

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. Significant assumptions and utilized in the Binomial Lattice process are as follows for both the issuance dates of the warrants and September 30, 2012 and 2011 and December 31, 2011:

 

             
    September 30,   December 31,
    2012   2011   2011

Linked common shares

  1,800,000   1,800,000   1,800,000

Quoted market price on valuation date

  $3.15   $3.13   $2.74

Contractual exercise rate

  $2.50   $2.50   $2.50

Term (years)

  1.03   2.03   1.78

Range of market volatilities

  38.9% - 68.1%   69.7% - 129.5%   56.8% - 101.6%

Risk free rates using zero coupon US Treasury Security rates

  0.06% - 0.17%   0.02% – 0.43%   0.02% – 0.25%

 

             
    September 30,   December 31,
    2012   2011   2011

Linked common shares

  525,000   525,000   525,000

Quoted market price on valuation date

  $3.15   $3.13   $2.74

Contractual exercise rate

  $2.75   $2.75   $2.75

Term (years)

  1.54   2.50   2.28

Range of market volatilities

  38.7% - 69.2%   76.6% - 117.6%   56.9% - 94.0%

Risk free rates using zero coupon US Treasury Security rates

  0.06% - 0.20%   0.02% – 0.43%   0.02% – 0.25%

 

         
    September 30,
2012
  December 31,
2011

Linked common shares

  1,562,500   1,302,083

Quoted market price on valuation date

  $3.15   $2.74

Contractual exercise rate

  $3.60   $4.32

Term (years)

  4.60   5.35

Range of volatilities

  54.2% - 71.0%   67.2% - 87.5%

Risk free rates using zero coupon US Treasury Security rates

  0.10% - 0.47%   0.02% - 0.83%

Custom lattice variable: Probability of exercisability (434,027 linked common shares)

  —     60.0%
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, 2012 and 2011.

 

                 
    Nine months ended September 30,  
    2012     2011  

Balances at January 1

  $ 4,653,160     $ 2,287,800  

Issuances

    363,542       906,150  

Changes in fair value inputs and assumptions reflected in income

    (379,114     139,275  
   

 

 

   

 

 

 

Balances at September 30

  $ 4,637,588     $ 3,333,225