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Warrant Liability | 6 Months Ended
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Jun. 30, 2016
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Warrant Liability | Note 11. Warrant Liability In December 2011, we raised gross proceeds of $10,000,000 through a public offering of 666,667 units and 666,667 Series B Warrants. The combination of units and Series B Warrants were sold at a public offering price of $15.00 per unit. Each Series B Warrant gave the holder the right to purchase one unit at an exercise price of $15.00 per unit and was exercisable until May 2, 2012, the 90th trading day after the date of issuance. Each unit consists of one share of our common stock and one Series A Warrant. Each Series A Warrant gives the holder the right to purchase one share of our common stock at an initial exercise price of $16.80 per share. The Series A Warrants are immediately exercisable upon issuance and will expire in December 2016. In 2012, an aggregate of 225,000 Series B Warrants were exercised. For the exercise of these warrants, we issued 225,000 shares of our common stock and 225,000 Series A Warrants. The remaining 441,667 Series B Warrants expired unexercised by their terms on May 2, 2012. In 2012, 2013 and 2014, an aggregate of 183,215, 32,045 and 98,335 Series A Warrants were exercised, respectively. For the exercise of these warrants, in 2012, 2013 and 2014, we issued 183,215, 32,045 and 98,335 shares of our common stock and received gross proceeds of approximately $3,078,000, $538,000 and $1,652,000, respectively. The shares were offered under our shelf registration statement previously filed with previously filed with, and declared effective by, the SEC. The Series A Warrants contain full ratchet anti-dilution price protection so that, in most situations upon the issuance of any common stock or securities convertible into common stock at a price below the then-existing exercise price of the outstanding Series A Warrants, the Series A exercise price will be reset to the lower common stock sales price. As a result of our April 2015 financing, the exercise price of the outstanding Series A warrants was reduced from $16.80 per share to $8.40 per share. Subsequently, as a result of our sale of shares of our common stock under a sales agreement entered into in 2009 and amended in 2012, the exercise price of the outstanding Series A warrants was reduced from $8.40 per share to $6.24 per share and as a result of our March 2016 financing, the exercise price of these warrants were further reduced to approximately $3.60 per share The fair value of the warrant liability will be revalued at the end of each reporting period, with the change in fair value of the warrant liability recorded as a gain or loss in our Condensed Consolidated Statements of Operations. The fair value of the warrants will continue to be classified as a liability until such time as the warrants are exercised, expire or an amendment of the warrant agreement renders these warrants to be no longer classified as a liability. In March 2016, we raised gross proceeds of approximately $8.0 million through an underwritten public offering of 2,222,250 units, at a price of $3.60 per unit, before deducting underwriting discounts and other offering expenses. Each unit consists of a fixed combination of one share of our common stock, a Series A Warrant to purchase 0.50 of a share of our common stock, and a Series B Warrant to purchase 0.75 of a share of our common stock. Each Series A Warrant has an exercise price of $3.60 per share, is immediately exercisable, and will expire two years from the date of issuance. Each Series B Warrant has an exercise price of $5.04 per share, will become exercisable upon stockholder approval of an increase in our authorized capital and the one-year anniversary of the issuance date, whichever is later, and will expire on the fifth anniversary of the date they become exercisable. In connection with the offering, we granted the underwriters a 45-day option to purchase up to an additional 333,338 shares of our common stock and/or warrants to purchase up to an additional 416,672 shares of our common stock to cover over-allotments, if any. The option was exercised in part and we issued an additional 166,473 of Series A warrants and 249,709 of Series B Warrants. The Series A and Series B Warrants contain full ratchet anti-dilution price protection for two years so that, in most situations, upon the issuance of any common stock or securities convertible into common stock at a price below the then-existing exercise price of the respective warrants, the exercise price of these warrants will be reset to the lower common stock sales price. The initial shares and warrants were offered under our effective shelf registration statement previously filed with the SEC. We intend to file a subsequent registration statement to register the common shares issuable upon the time the Series B Warrants become exercisable. As terms of the Series A and Series B Warrants do not meet the specific conditions for equity classification, we are required to classify the fair value of these warrants as a liability, with subsequent changes in fair value to be recorded as income (loss) due to change in fair value of warrant liability. We used the Black-Scholes valuation model to estimate fair value of these warrants issued in our 2011 and 2016 financing transactions. In using this model, we make certain assumptions about risk-free interest rates, dividend yields, volatility, expected term of the warrants and other assumptions. Risk-free interest rates are derived from the yield on U.S. Treasury debt securities. Dividend yields are based on our historical dividend payments, which have been zero to date. Volatility is estimated from the historical volatility of our common stock as traded on NASDAQ. The expected term of the warrants is based on the time to expiration of the warrants from the date of measurement. The assumptions used for the Black-Scholes model to value the Warrants are as follows:
|  | Series A (2011) |  |  | Series A (2016) |  |  | Series B (2016) |
Risk-free interest rate per year |  |  | 0.26 | % |  |  | 0.68 | % |  |  | 1.26 | %
Expected volatility per year |  |  | 269.6 | % |  |  | 155.8 | % |  |  | 108.2 | %
Expected dividend yield |  |  | 0 | % |  |  | 0 | % |  |  | 0 | %
Expected life (years) |  |  | 0.5 |  |  |  | 1.7 |  |  |  | 5.7 |
The following table is a summary of the changes in fair value of warrant liability in the second quarter of 2016:
|  | Series A (2011) |  |  | Series A (2016) |  |  | Series B (2016) |  |  | Total |
Balance at December 31, 2015 |  | $ | 511,594 |  |  | $ | 1,760,937 |  |  | $ | 3,887,140 |  |  | $ | 6,159,671 |
Changes in fair value |  |  | (454,308 | ) |  |  | (1,600,713 | ) |  |  | (3,513,613 | ) |  |  | (5,568,634 | )
Balance at June 30, 2016 |  | $ | 57,286 |  |  | $ | 160,224 |  |  | $ | 373,527 |  |  | $ | 591,037 |
The fair value of the warrant liability is revalued at the end of each reporting period, with the change in fair value of the warrant liability recorded as a gain or loss in our Condensed Consolidated Statements of Operations. The fair value of the warrants will continue to be classified as a liability until such time as the warrants are exercised, expire or an amendment of the warrant agreement renders these warrants to be no longer classified as a liability.

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