shares. The Company classifies the Private Placement Warrants as derivative liabilities in its Unaudited Condensed Consolidated Balance Sheet as of September 30, 2023. The Company measures the fair value of the Private Placement Warrants at the end of each reporting period and recognizes changes in the fair value from the prior period in the Company’s statements of operations for the current period.
The Company recognized a gain on the change in fair value of the Private Placement Warrants for the three months ended September 30, 2023 and 2022 of less than $0.1 million and less than $0.1 million, respectively. The Company recognized a gain on the change in fair value of the Private Placement Warrants for the nine months ended September 30, 2023 and 2022 of less than $0.1 million and $0.2 million, respectively. Refer to Note 11 for discussion of the fair value measurement of the Company’s warrant liabilities.
Investor Warrants
As discussed above, on March 8, 2023, in conjunction with the issuance and sale of 3,866,666 shares of the Company’s Common Stock, the Company issued 3,866,666 March Investor Warrants which were classified in stockholder’s equity. The measurement of fair value of the March Investor Warrants were determined utilizing a Black-Scholes model considering all relevant assumptions current at the date of issuance (i.e., share price of $0.72, exercise price of $0.75, term of five and a half years, volatility of 123.6%, risk-free rate of 4.34%, and expected dividend rate of 0%). The March Investor Warrants have an exercise price of $0.75 per share, are initially exercisable beginning six months following the March Initial Exercise Date and will expire five and a half years from the March Initial Exercise Date. The grant date fair value of these March Investor Warrants was estimated to be $2.4 million on March 8, 2023 and is reflected within additional paid-in capital.
The Company issued warrants to the Placement Agent with an exercise price of $0.81 (the “June Placement Agent Warrants”). As these June Placement Agent Warrants were issued for services provided in facilitating the June Offering, the Company recorded the fair value of such June Placement Agent Warrants of approximately $0.1 million as a cost of capital on the issuance date. The measurement of fair value was determined utilizing a Black-Scholes model considering all relevant assumptions current at the date of issuance (i.e., share price of $0.53, exercise price of $0.81, term of five and a half years, volatility of 175.1%, risk-free rate of 3.85%, and expected dividend rate of 0%).
In connection with the June Offering, the Company also entered into a warrant amendment agreement (the “Warrant Amendment Agreement”) with certain investors to amend certain existing warrants to purchase up to 9,622,778 shares of Common Stock that were previously issued in August 2021 and February 2022 to such investors, with an exercise price of $3.07 and $12.00 per share, respectively (the “Amended Warrants”) as follows: (i) lower the exercise price of the Amended Warrants to $0.6525 per share, and (ii) provide that the Amended Warrants, as amended, will not be exercisable until six months following the closing date of the June Offering, and (iii) extend the original expiration date of the Amended Warrants so that they will terminate five and one half years from the closing of the June Offering.
The Company recorded the incremental change in fair value of such Amended Warrants of $1.7 million as a cost of capital to issue the June Investor Warrants. The measurement of fair value for the Amended Warrants was determined utilizing a Black-Scholes model considering all relevant assumptions current at the date of issuance (i.e., share price of $0.53, exercise price of $0.65, term of five and a half years, volatility of 175.1%, risk-free rate of 3.85%, and expected dividend rate of 0%).
As discussed above, On August 28, 2023, in conjunction with the issuance and sale of 3,000,000 shares of the Company’s Series A Convertible Preferred Stock, the Company issued 3,000,000 August Investor Warrants which were classified in stockholder’s equity. The measurement of fair value of the August Investor Warrants were determined utilizing a Black-Scholes model considering all relevant assumptions current at the date of issuance (i.e., share price of $0.30, exercise price of $0.40, term of five years, volatility of 175.1%, risk-free rate of 4.38%, and expected dividend rate of 0%). The grant