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Series A Redeemable Convertible Preferred Stock (Tables)
9 Months Ended
Sep. 30, 2021
Equity [Abstract]  
Embedded Derivative Instruments Rollforward The fair value of these derivative instruments and the loss recorded on the change in the fair value of these derivative instruments, which was included in “Interest and other income, net” within the condensed consolidated statement of operations, for the three and nine months ended September 30, 2021 and 2020, were as follows:
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
Beginning Balance$467,598 $478,312 $472,851 $483,804 
Total income recognized in earnings(2,626)(2,751)(7,879)(8,243)
Ending Balance$464,972 $475,561 $464,972 $475,561 
Derivative Probability and Volatility Assumptions The probability and volatility assumptions are as follows:
Probability of redemption as part of a fundamental sale transaction0.5%
Probability of redemption absent a fundamental sale transaction4.75%
Annual volatility65%
Schedule of Components of Series A Preferred Stock The Series A Preferred Stock consists of the following:
Total Series A redeemable convertible preferred stock, net at January 1, 2021$12,940,722 
Accrued dividends277,170
Accretion of preferred stock197,114
Total Series A redeemable convertible preferred stock, net at March 31, 2021$13,415,006 
Accrued dividends282,926
Accretion of preferred stock75,183
Total Series A redeemable convertible preferred stock, net at June 30, 2021$13,773,115 
Accrued dividends288,802
Accretion of preferred stock13,517
Total Series A redeemable convertible preferred stock, net at September 30, 2021$14,075,434