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Fair Value Measurements
9 Months Ended
Sep. 30, 2021
Fair Value Disclosures [Abstract]  
Fair Value Measurements

8. Fair Value Measurements

 

As of December 31, 2020, both the Public and Private Placement Warrants were measured utilizing a Monte Carlo simulation model. Subsequently, the Public Warrants have been measured at fair value utilizing their listed trading price and the Private Placement Warrants have been measured utilizing a Modified Black-Scholes model.

 

For the three and nine months ended September 30, 2021, the Company recognized a gain from a decrease in the fair value of liabilities of $2.0 million and $5.8 million, respectively, presented as change in fair value of derivative warrant liabilities in the accompanying unaudited condensed statement of operations. The estimated fair values of the Private Placement Warrants and the Public Warrants as of December 31, 2020 were determined utilizing Level 3 inputs. Inherent in a Monte Carlo simulation and Modified Black-Scholes model are assumptions related to expected stock-price volatility, expected life, risk-free interest rate and dividend yield. The Company estimates the volatility of its common stock warrants based on implied volatility from the Company’s traded warrants and from historical volatility of select peer company’s common stock that matches the expected remaining life of the warrants. The risk-free interest rate is based on the U.S. Treasury zero-coupon yield curve on the grant date for a maturity similar to the expected remaining life of the warrants. The expected life of the warrants is assumed to be equivalent to their remaining contractual term. The dividend rate is based on the historical rate, which the Company anticipates remaining at zero.

 

The following table presents information about the Company’s assets and liabilities that are measured at fair value on a recurring basis as of September 30, 2021 and December 31, 2020 by level within the fair value hierarchy:

 

September 30, 2021

Description  Quoted Prices in Active Markets
(Level 1)
   Significant Other Observable Inputs
(Level 2)
   Significant Other Unobservable Inputs
(Level 3)
 
Assets:            
Investments held in Trust Account – U.S. Treasury securities  $172,521,417   $
                 -
   $
-
 
Liabilities:               
Derivative warrant liabilities - Public  $5,606,250   $
-
   $
-
 
Derivative warrant liabilities - Private  $
-
   $
-
   $3,152,500 

 

December 31, 2020

 

Description  Quoted Prices in Active Markets
(Level 1)
   Significant Other Observable Inputs
(Level 2)
   Significant Other Unobservable Inputs
(Level 3)
 
Assets:            
Investments held in Trust Account – U.S. Treasury securities  $172,511,212   $
                -
   $
-
 
Liabilities:               
Derivative warrant liabilities - Public  $
-
   $
-
   $9,249,400 
Derivative warrant liabilities - Private  $
-
   $
-
   $5,331,210 

 

Transfers to/from Levels 1, 2 and 3 are recognized at the beginning of the reporting period. The estimated fair value of Public Warrants was transferred from a Level 3 fair value measurement to a Level 1 measurement, when the Public Warrants were separately listed and traded in February 2021. There were no other transfers to/from Levels 1, 2, and 3 during the three and nine months ended September 30, 2021.

 

The following table provides quantitative information regarding Level 3 fair value measurements inputs at their measurement dates:

 

   As of
September 30,
2021
   As of
December 31,
2020
 
Exercise price  $11.50   $11.50 
Unit price  $10.22   $10.25 
Volatility   10.55%   17.70%
Stock price  $9.90   $9.71 
Expected life of the options to convert (years)   5.72    6.47 
Risk-free rate   1.10%   0.57%

 

The change in the fair value of the derivative warrant liabilities, measured using Level 3 inputs, for the three and nine months ended September 30, 2021 is summarized as follows:

 

Derivative warrant liabilities as of December 31, 2020   $ 14,580,610  
Transfer out of Level 3, Public Warrants start trading     (5,354,620 )
Change in fair value of derivative warrant liabilities     (6,206,630 )
Derivative warrant liabilities as of March 31, 2021     3,019,360  
Change in fair value of derivative warrant liabilities – Private Warrants     860,640  
Derivative warrant liabilities as of June 30, 2021 – Private Warrants     3,880,000  
Change in fair value of derivative warrant liabilities     (727,500 )
Derivative warrant liabilities as of September 30, 2021 – Private Warrants   $ 3,152,500