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Fair Value Measurements
5 Months Ended 9 Months Ended
Dec. 31, 2020
Sep. 30, 2021
Fair Value Disclosures [Abstract]    
Fair Value Measurements
Note 10—Fair Value Measurements
The following table presents information about the Company’s financial assets and liabilities that are measured at fair value on a recurring basis as of December 31, 2020 by level within the fair value hierarchy:
 
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
  
$
172,500,000
 
  
$
—  
 
  
$
—  
 
Liabilities:
  
     
  
     
  
     
Derivative warrant liabilities
  
$
—  
 
  
$
—  
 
  
$
 15,871,750
 
Transfers to/from Levels 1, 2 and 3 are recognized at the end of the reporting period.
 
There were no transfers between levels for the period from July 31, 2020 (inception) through December 31,
2020
.
 
 
Level 1 instruments include investments in mutual funds
 
invested in government securities. The Company uses inputs such as actual trade data, benchmark yields, quoted market prices from dealers or brokers, and other similar sources to determine the fair value of its investments. Level 3 instruments are comprised of derivative warrant liabilities measured at fair value using a Monte Carlo simulation model and Black-Scholes.
The fair value of the Public Warrants issued in connection with the Public Offering have been measured at fair value using a Monte Carlo simulation model. The fair value of the warrants issued in the Private Placement were estimated using Black-Scholes.
The estimated fair value of the Private Placement Warrants and the Public Warrants is determined using Level 3 inputs. Inherent in a Monte Carlo simulation and Black-Scholes 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 provides quantitative information regarding Level 3 fair value measurements inputs as their measurement dates:
    
As of December 15, 2020
   
As of December 31, 
2020
 
    
Public and Private
   
Public and Private
 
Exercise price
   $ 11.50     $ 11.50  
Volatility
     15.0     15.0
Stock price
   $ 9.57     $ 9.98  
Expected life of the options to convert
     6.54       6.5  
Risk-free rate
     0.58     0.58
Dividend yield
     0.0     0.0
The change in the fair value of the derivative warrant liabilities for the period ended December 31, 2020 is summarized as
follows
:
 
Derivative warrant liabilities at July 31, 2020 (inception)
   $ —    
Issuance of Public and Private Warrants
     13,516,250  
Change in fair value of derivative warrant liabilities
     2,355,500  
    
 
 
 
Derivative warrant liabilities at December 31, 2020
   $ 15,871,750  
    
 
 
 
Note 9. Fair Value Measurements.
The following table presents information about the Company’s assets that are measured at fair value on a recurring basis and indicate the fair value hierarchy of the valuation techniques that the Company utilized to determine such fair value.
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
   $ 175,987,897      $ —        $             —    
Liabilities:
                          
Derivative warrant liabilities (public)
   $ 9,918,750      $ —        $ —    
Derivative warrant liabilities (private)
   $ —        $ 8,251,250      $
 
 
 
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
   $ 175,950,325      $            —        $ —    
Liabilities:
                          
Derivative warrant liabilities (public)
   $ —        $ —        $ 8,625,000  
Derivative warrant liabilities (private)
   $ —        $ —        $ 7,246,750  
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. The estimated fair value of the Private Warrants was transferred from a Level 3 measurement to a Level 2 fair value measurement as of February 2021, as the transfer of Private Placement Warrants to anyone who is not a permitted transferee would result in the Private Placement Warrants having substantially the same terms as the Public Warrants, the Company determined that the fair value of each Private Placement Warrant is equivalent to that of each Public Warrant. There were no other
 
transfers to/from Levels 1, 2, and 3 during the three and nine months ended September 30, 2021.
Level 1 assets include investments in mutual funds that invest solely in U.S. government securities. The Company uses inputs such as actual trade data, quoted market prices from dealers or brokers, and other similar sources to determine the fair value of its investments.
The fair value of the Public Warrants and Private Placement Warrants were initially measured at fair value using a Monte Carlo simulation model and Black-Scholes option pricing model. For periods subsequent to the detachment of the Public Warrants from the Units, the Public Warrants’ listed price in an active market was used as the fair value for determining the fair value of the Public Warrants and Private Placement Warrants. For the three and nine months ended September 30, 2021, the Company recognized a
non-operating
gain and loss resulting from a decrease and an increase in the fair value of liabilities of approximately 
$2.4 million and $2.3 million, respectively, presented as change in fair value of derivative warrant liabilities on the accompanying unaudited condensed consolidated statements of operations. The estimated fair value of the Private Placement Warrants, and the Public Warrants prior to being separately listed and traded, is determined using Level 3 inputs. Inherent in a Monte Carlo simulation 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 based on historical volatility of select peer companies 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 provides quantitative information regarding Level 3 fair value measurements inputs at their initial measurement date:
 
 
  
At initial issuance
 
Exercise price
   $ 11.50  
Volatility
     15.4
Stock price
   $ 9.98  
Expected life of the options to convert
     6.54  
Risk-free rate
     0.58
Dividend yield
     0.0
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 at January 1, 2021
  
$
15,871,750
 
Transfer of public warrant liabilities to Level 1
     (8,625,000
Change in fair value of warrant liabilities
     (2,870,000
    
 
 
 
Derivative warrant liabilities at March 31, 2021
  
 
4,376,750
 
Transfer of 
private warrant liabilities to Level 2
     (4,376,750
Change in fair value of warrant liabilities
 
 
 
 
 
    
 
 
 
Derivative warrant liabilities at June 30, 2021
    
—  
 
 
 
 
 
 
Derivative warrant liabilities at September 30, 2021
  
$
—