As of September 30, 2021 the aggregate intrinsic value of options outstanding was $0.
During the nine months ended September 30, 2021, the Company granted certain individuals options to purchase 299,984 shares of the Company’s common stock with an average exercise price of $6.85 per share, contractual terms of 10 years and vesting periods ranging from 8.33% monthly over one year to 33.333% vesting after one year with the remaining 66.667% vesting in 24 monthly installments, thereafter. The options had an aggregate grant date fair value of $1,150,284 as calculated using the Black-Scholes option-pricing model. Variables used in the Black-Scholes option pricing model include: (1) discount rates ranging from 0.505% to 1.075% based on the daily yield curve rates for U.S. Treasury obligations, (2) expected lives ranging from 5.27 years to 6.0 years based on the simplified method (vesting plus contractual term divided by two), (3) expected volatility ranging from 89.04% to 90.16% based on the average historical volatility of comparable companies' stock, (4) 0 expected dividends and (5) fair market value of the Company's stock ranging from $6.50 to $7.51 per share.
The Company recognized share-based compensation expense related to stock options of $131,906 and $190,975, respectively, during the three and nine months ended September 30, 2021. The unrecognized compensation expense for stock options at September 30, 2021 was $959,309.
Stock Options for Unregistered Securities
In addition to the stock options issued under the Plan, and in conjunction with the IPO, the Company granted non-qualified stock options to purchase 292,500 shares of common stock as provided for in the President’s employment agreement (the “President Options”). The President Options are exercisable within 10 years of the date of grant at $10.00 per share, were 100% vested at the grant date and have a remaining contractual term of 9.22 years. As of September 30, 2021, there was 0 unrecognized compensation expense related to these options as they were 100% vested upon issuance. The shares of common stock issuable upon exercise of the President Options will be unregistered, and the option agreement does not include any obligation on the part of the Company to register such shares of common stock. Consequently, the Company has not recognized a contingent liability associated with registering the securities for the arrangement. As of September 30, 2021, the aggregate intrinsic value of the President Options was $0.
Underwriters Warrants
In conjunction with the IPO, the Company granted the underwriters warrants to purchase 172,500 shares of common stock at an exercise price of $12.50 per share. The warrants have a remaining contractual term of 4.21 years and are not exercisable prior to December 21, 2021. As of September 30, 2021, the aggregate intrinsic value of the warrants outstanding was $0.
12Income Taxes
Prior to the Company’s Corporate Conversion, the Company operated as an Alabama limited liability company that passed through income and losses to its members. As a result, the Company was not subject to any U.S. federal or U.S. state income taxes as the related tax consequences are reported by the individual members. Upon the Corporate Conversion, the Company converted to a Delaware corporation and is now subject to filing U.S. federal and various U.S. state income tax returns. As the Company was incorporated in December 2020, all tax years of the Company remain open to examination by tax authorities. As of December 31, 2020, we had U.S. federal and state net operating loss carryforwards of approximately $2,316,000, which have an indefinite carryforward.
As of September 30, 2021, the Company has not generated sufficient positive evidence for future earnings to support a position that it will be able to realize its net deferred tax asset. The Company has significant negative evidence to overcome in the form of cumulative pre-tax losses from continuing operations since its formation, as well as projected losses for the current year. Therefore, it will continue to maintain a full valuation allowance on its U.S. federal and state net deferred tax asset. The change in the valuation