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Fair Value Measurements
4 Months Ended 6 Months Ended
Dec. 31, 2020
Jun. 30, 2021
Fair Value Disclosures [Abstract]    
Fair Value Measurements
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 as of December 31, 2020 and indicates the fair value hierarchy of the valuation techniques that the Company utilized to determine such fair value.
 
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
   $ 402,578,522      $ —        $ —    
Liabilities:
                          
Derivative liabilities warrant
   $ 27,504,170      $ —        $ 14,070,000  
Deriviative liabilities - Forward purchase agreements
   $ —        $ —        $ 8,100,000  
Transfers to/from Levels 1, 2, and 3 are recognized at the beginning of the reporting period. The estimated fair value of the Public Warrants transferred from a Level 3 measurement to a Level 1 fair value measurement in December 2020, when the Public Warrants were separately listed and traded.
Level 1 instruments include investments in mutual funds invested in government securities and Public Warrants. 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.
The fair value of the Public Warrants issued in connection with the Public Offering and Private Placement Warrants were initially and subsequently measured at fair value using a Monte Carlo simulation model. The fair value of the forward purchase agreements is determined as the estimated unit value less the net present value of the forward purchase agreements. For the period from August 31, 2020 (inception) through December 31, 2020, the Company recognized a
non-cash
loss resulting from an increase in the fair value of liabilities of approximately $24.2 million presented as change in fair value of derivative liabilities on the accompanying statement of operations.
The estimated fair value of the Private Placement Warrants, forward purchase agreements 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 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 at their measurement dates for the warrants:
 
    
As of

October 23,
2020
   
As of

December 31,
2020
 
Volatility
     21.00     21.75
Stock price
   $ 10.00     $ 11.00  
Expected life of the options to convert
     5.833       5.647  
Risk-free rate
     0.460     0.469
Dividend yield
     0.0     0.0
The following table provides quantitative Level 3 fair value measurement inputs at their measurement dates for the forward purchase agreement:
 
    
As of

October 23,
2020
   
As of

December 31,
2020
 
Risk-free rate
     0.117     0.93
Term
     0.833       0.647  
The change in the fair value of the derivative liabilities utilizing Level 3 measurements for the period from August 31, 2020 (inception) through December 31, 2020 is summarized as follows:
 
Derivative liabilities at August 31, 2020 (inception)
   $ —    
Issuance of Public and Private Warrants and forward purchase agreements - Level 3
     25,481,000  
Transfer of Public Warrants to Level 1 measurement
     (16,905,000
Change in fair value of derivative liabilities - Level 3
     13,594,000  
    
 
 
 
Derivative liabilities at Level 3, December 31, 2020
   $ 22,170,000  
    
 
 
 
Note 8—Fair Value Measurements
The following tables present 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.
June 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
   $ 402,685,072      $ —        $ —    
Liabilities:
                          
Derivative liabilities—Public Warrants
   $ 20,661,670      $ —        $ —    
Derivative liabilities—Private Placement Warrants
   $ —        $ —        $ 10,452,000  
Derivative liabilities—Forward Purchase Agreements
   $ —        $ —        $ 2,150,000  
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
   $ 402,578,522      $ —        $ —    
Liabilities:
                          
Derivative liabilities—Public Warrants
   $ 27,504,170      $ —        $ —    
Derivative liabilities—Private Placement Warrants
                     $ 14,070,000  
Derivative liabilities—Forward Purchase Agreements
   $ —        $ —        $ 8,100,000  
Transfers to/from Levels 1, 2, and 3 are recognized at the beginning of the reporting period. There were no transfers to/from Levels 1,2, and 3 for the three and six months ended June 30, 2021.
Level 1 instruments include investments in mutual funds invested in government securities and Public Warrants. 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.
The fair value of warrants issued in connection with the Initial Public Offering and Private Placement were initially measured at fair value using a Monte Carlo simulation model and subsequently, the fair value of the Private Placement warrants have been estimated using a Monte Carlo simulation model each measurement date. The fair value of Warrants issued in connection with the Company’s Initial Public Offering have subsequently been measured based on the listed market price of such warrants. The fair value of the forward purchase agreements is determined as the estimated unit value less the net present value of the forward purchase agreements. For the three and six months ended June 30, 2021, the Company recognized a
non-cash
gain resulting from a decrease in the fair value of liabilities of approximately $8.0 million and $16.4 million, respectively presented as change in fair value of derivative liabilities on the accompanying unaudited consolidated condensed statement of operations.
The estimated fair value of the Private Placement Warrants, forward purchase agreements 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 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. Changes to these assumptions can change the valuation significantly.
The following table provides quantitative information regarding Level 3 fair value measurements inputs at their measurement dates for the warrants:
 
    
As of
December 31,

2020
   
As of
March 31,

2021
   
As of
June 30,

2021
 
Volatility
     21.75     24.25     22.13
Stock price
   $ 11.00     $ 10.11     $ 9.93  
Expected life of the options to convert
     5.647       5.297       5.047  
Risk-free rate
     0.469     0.980     0.870
Dividend yield
     0.00     0.00     0.00
The following table provides quantitative Level 3 fair value measurement inputs at their measurement dates for the forward purchase agreements:
 
    
As of
December 31,

2020
   
As of
March 31,

2021
   
As of
June 30,

2021
 
Risk-free rate
     0.093     0.037     0.050
Term
     0.647       0.297       0.047  
The change in the fair value of the derivative liabilities utilizing Level 3 measurements for the three and six months ended June 30, 2021 is summarized as follows:
 
Derivative liabilities at Level 3 at December 31, 2020
   $ 22,170,000  
Change in fair value of Private Placement Warrants
     (1,139,000
Change in fair value of Forward Purchase Agreements
     (4,600,000
    
 
 
 
Derivative liabilities at Level 3 at March 31, 2021
   $ 16,431,000  
Change in fair value of Private Placement Warrants
     (2,479,000
Change in fair value of Forward Purchase Agreements
     (1,350,000
    
 
 
 
Derivative liabilities at Level 3 at June 30, 2021
   $ 12,602,000