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Fair Value Measurements
9 Months Ended
Sep. 30, 2023
Fair Value Disclosures [Abstract]  
Fair Value Measurements Fair Value Measurements
The following table presents information about the Company’s liabilities that are measured at fair value on a recurring basis at September 30, 2023 and December 31, 2022, and indicates the fair value hierarchy of the valuation inputs the Company utilized to determine such fair value (in thousands):

LevelSeptember 30, 2023December 31, 2022
Liabilities:
Warrant liability – Public Warrants1$1,750 $1,250 
Warrant liability – Private Placement Warrants31,120 840 
Total warrant liability$2,870 $2,090 

The following tables summarize the changes in the fair value of the warrant liabilities (in thousands):
Three Months Ended
September 30, 2023
Nine Months Ended
September 30, 2023
Public WarrantsPrivate Placement WarrantsWarrant LiabilitiesPublic WarrantsPrivate WarrantsWarrant Liabilities
Fair value, beginning of period$1,500 $910 $2,410 $1,250 $840 $2,090 
Change in fair value250 210 460 500 280 780 
Fair value, end of period$1,750 $1,120 $2,870 $1,750 $1,120 $2,870 
Three Months Ended
September 30, 2022
Nine Months Ended
September 30, 2022
Public WarrantsPrivate Placement WarrantsWarrant LiabilitiesPublic WarrantsPrivate WarrantsWarrant Liabilities
Fair value, beginning of period$8,125 $5,320 $13,445 $16,750 $10,710 $27,460 
Change in fair value(4,000)(2,590)(6,590)(12,625)(7,980)(20,605)
Fair value, end of period$4,125 $2,730 $6,855 $4,125 $2,730 $6,855 
Public Warrants
The Company determined the fair value of the Public Warrants, based on the publicly listed trading price of such warrants as of the valuation date. Accordingly, the Public Warrants are classified as Level 1 financial instruments. The fair value of the Public Warrants was $1.8 million and $1.3 million as of September 30, 2023 and December 31, 2022, respectively.
Private Placement Warrants
The estimated fair value of the Private Placement Warrants is determined with Level 3 inputs using the Black-Scholes model. The significant inputs and assumptions in this method are the stock price, exercise price, volatility, risk-free rate, and term or maturity. The underlying stock price input is the closing stock price as of each valuation date and the exercise price is the price as stated in the warrant agreement. The volatility input was determined using the historical volatility of comparable publicly traded companies which operate in a similar industry or compete directly against the Company. Volatility for each comparable publicly traded company is calculated as the annualized standard deviation of daily continuously compounded returns. The Black-Scholes analysis is performed in a risk-neutral framework, which requires a risk-free rate assumption based upon constant-maturity treasury yields, which are interpolated based on the remaining term of the Private Placement Warrants as of each valuation date. The term/maturity is the duration between each valuation date and the maturity date, which is five years following the date the Business Combination closed, or June 16, 2026.
The following table provides quantitative information regarding Level 3 fair value measurements inputs at their measurement dates:
September 30, 2023December 31, 2022
Exercise price$11.50 $11.50 
Stock price$1.32 $1.01 
Volatility88.0 %82.3 %
Term (years)2.713.46
Risk-free interest rate4.87 %4.17 %
Significant changes in the volatility would result in a significant lower or higher fair value measurement, respectively.
The fair value of the Private Placement Warrants was $1.1 million and $0.8 million as of September 30, 2023 and December 31, 2022, respectively.
There were no transfers in or out of Level 3 from other levels in the fair value hierarchy.