12. Share-Based Compensation

Equity Incentive Plans – The Company’s 2013 Equity Compensation Plan (the “2013 Plan”) was adopted for the purpose of providing equity incentives to employees, officers, directors and consultants including options, restricted stock, restricted stock units, stock appreciation rights, other equity awards, annual incentive awards and dividend equivalents. The Company amended the 2013 Plan to increase the number of authorized shares of common stock under the Plan from 225,000 shares to 615,000 shares, which the Company’s stockholders approved on June 26, 2017. The Company further amended the 2013 Plan to increase the number of authorized shares of common stock under the Plan by 300,000 shares, which the Company’s stockholders approved and ratified on November 8, 2018. The Company is now authorized to issue 915,000 shares under the amended 2013 Plan.

Stock Options

The fair value of options is estimated on the date of grant using the Black-Scholes option pricing model. The valuation determined by the Black-Scholes pricing model is affected by the Company’s stock price as well as assumptions regarding a number of highly complex and subjective variables. These variables include, but are not limited to, expected stock price volatility over the term of the awards, and actual and projected employee stock option exercise behaviors. The risk free rate is based on the U.S. Treasury rate for the expected life at the time of grant, volatility is based on the average long-term implied volatilities of peer companies, the expected life is based on the estimated average of the life of options using the simplified method, and forfeitures are estimated on the date of grant based on certain historical data. The Company utilizes the simplified method to determine the expected life of its options due to insufficient exercise activity during recent years as a basis from which to estimate future exercise patterns. The expected dividend assumption is based on the Company’s history and expectation of dividend payouts.

The following table summarizes the Company’s stock option activity for the nine months ended September 30, 2020 and 2019:

The fair value of stock options is being amortized on a straight-line basis over the requisite service period of the awards. The fair value of share options were estimated using the following assumptions:

Total unrecognized pre-tax share-based compensation expense related to unvested stock options at September 30, 2020 was $90,216, which is expected to be recognized through the second quarter of 2023.

Warrants

As of September 30, 2020 and December 31, 2019, 125,000 warrants were outstanding and exercisable with an exercise price of $20.00 per share. The aggregate intrinsic value was $0 and the warrants are scheduled to expire on December 27, 2021.

Restricted Stock

As of September 30, 2020 and 2019, the following is a summary of restricted stock activity: