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Warrant Liability (Tables)
12 Months Ended
Dec. 31, 2012
Warrant Liability [Abstract]  
Assumptions used for Black-Scholes option pricing model

The assumptions used for the Black-Scholes option pricing model are as follows:

 

                 
    To Calculate
Fair Value of
Warrant Liability at
December 31,
 
    2012     2011  

Expected life (years)

    1.4       2.4  

Risk-free interest rate

    0.2     0.3

Expected volatility

    108.2     74.1

Expected dividend yield

    0     0

 

                         
    At December 31,
2012
    At December 31,
2011
    Change in Fair Value
of Warrant Liability
in Year 2012
 

Fair value of warrant liability

  $ 44,628     $ 2,224     $ 42,404  

The assumptions used for the Black-Scholes option pricing model are as follows:

 

                 
    To Calculate
Fair Value of
Warrant Liability at
 
    December 31,
2012
    December 31,
2011
 

Expected life (years)

    2.3       3.3  

Risk-free interest rate

    0.3     0.5

Expected volatility

    94.5     90.8

Expected dividend yield

    0     0

 

                         
    At December 31,
2012
    At December 31,
2011
    Change in Fair Value
of Warrant Liability
in Year 2012
 

Fair value of warrant liability

  $ 63,340     $ 28,971     $ 34,369  
Assumptions used for simulation model

The assumptions used for the Monte Carlo simulation model to value the outstanding Series A Warrants at December 31, 2012 are as follows:

 

         

Risk-free interest rate per year

    0.5

Expected volatility per year

    86.0

Expected dividend yield

    0

Expected life (years)

    4.0  
Summary of changes in fair value of warrant liability

The following table is a summary of the changes in fair value of warrant liability for the Series A and Series B Warrants in 2012:

 

                                 
    Series A     Series B  
    Number of
Warrants
    Fair value $     Number of
Warrants
    Fair value $  

Balance at December 31, 2011

    8,000,000     $ 3,790,160       8,000,000     $ 2,220,960  

Add issued

    2,700,000       1,714,436       —         —    

Less exercised

    (2,198,571     (3,340,155     (2,700,000     (1,095,802

Less expired

    —         —         (5,300,000     —    

Changes in fair value

    —         6,992,956       —         (1,125,158
   

 

 

   

 

 

   

 

 

   

 

 

 

Balance at December 31, 2012

    8,501,429     $ 9,157,397       —       $ —    
   

 

 

   

 

 

   

 

 

   

 

 

 
Summary of outstanding warrants and fair value of warrant liability

The following table is a summary of our outstanding warrants and fair value of our warrant liability as of December 31, 2012:

 

                         

Warrants

  Number Outstanding     Exercise Price ($)
per share
    Fair value  

Warrants issued in 2008

    1,034,483       23.00     $ 44,628  

Warrants issued in 2009

    400,000       15.00       63,340  

Series A Warrants

    8,501,429       1.40       9,157,397  
   

 

 

           

 

 

 

Total

    9,935,912             $ 9,265,365