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Note 6 - Warrants
9 Months Ended
Sep. 30, 2025
Notes to Financial Statements  
Warrants [Text Block]

Note 6. Warrants

 

We have certain warrants outstanding to purchase our common stock, at various prices, for the nine months ended September 30, 2025 and 2024 is as follows:

 

  

Warrants outstanding

  

Weighted average price per share

  

Weighted average remaining life

  

Aggregate intrinsic value(1)

 

Balance, December 31, 2023

  51,590,300  $0.27         

Granted

  4,127,516  $0.27         

Exercised

  (3,278,337) $0.24         

Expired

  (20,534,700) $0.23         

Vested Balance, September 30, 2024

  31,904,779  $0.29   3.5     
                 

Balance, December 31, 2024

  31,615,616  $0.29         

Expired

  (2,634,698) $0.22         

Vested Balance, September 30, 2025

  28,980,918  $0.29   1.8  $2,000 

 

(1) – Aggregate intrinsic value based on closing common stock price of $0.17 at September 30, 2025.

 

Warrants issued in Unit Offerings

 

We did not issue any warrants in conjunction with unit offerings in the nine months ended September 30, 2025.

 

There were no warrants issued during the three months ended September 30, 2024.  During the three months ended   June 30, 2024, we issued six-month stock purchase warrants to purchase an aggregate 454,547 shares of our common stock at $0.33 per share, and five-year stock purchase warrants to purchase an aggregate 454,547 shares of our common stock at $0.33 per share, in conjunction with the sale of stock to investors in our Unit Offerings (see Note 3). The relative fair value of the warrant component of the units sold to investors totaled $93,000.  During the three months ended   March 31, 2024, we issued six-month stock purchase warrants to purchase an aggregate 1,394,737 shares of our common stock at $0.23 per share, and five-year stock purchase warrants to purchase an aggregate 1,394,737 shares of our common stock at $0.29 per share, in conjunction with the sale of stock to investors in our Unit Offerings (see Note 3). In addition to warrants issued to investors, we issued five-year stock purchase warrants to purchase an aggregate 428,948 shares of our common stock at $0.19 per share as commissions. The relative fair value of the warrant component of the units sold to investors totaled $201,000.  The Black-Scholes model was used to calculate relative fair value, further discounted by the beneficial conversion feature and the value of the common stock component. 

 

During the nine months ended  September 30, 2024, investors exercised warrants to purchase 3,278,337 shares of our common stock, and we received $756,000 in proceeds.

 

Warrant Fair Value

 

We use the Black-Scholes option pricing model to determine the relative fair value of warrants issued in conjunction with debt instruments, common stock, and for services. With respect to debt instruments, relative fair value is amortized over the life of the warrant. The principal assumptions we used in applying the Black-Scholes model were as follows:

 

  

2025

  

2024

 

Risk free interest rate

  %  3.69 - 5.38%

Expected volatility

  %  64 - 95%

Expected dividend yield

      

Forfeiture rate

      

Expected life in years

     .5 - 5 

 

The risk-free interest rate is based on U.S. Treasury yields in effect at the time of grant. Expected volatilities are based on historical volatility of our common stock. The expected life in years is based on the contract term of the warrant.