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Stock-Based Compensation (Tables)
3 Months Ended 12 Months Ended
Oct. 31, 2019
Jul. 31, 2019
Share-based Payment Arrangement [Abstract]    
Common stock options granted, forfeited or expired and exercised

The following is a summary of the common stock options granted, forfeited or expired and exercised under the Plan:

   Options  Weighted Average Exercise Price per Share  Weighted Average Remaining Life (Years)  Aggregate Intrinsic Value
Outstanding - July 31, 2019   7,988,675   $0.84    7.21   $15,961,391 
Granted   1,003,000   $2.09    4.92    —   
Forfeited or expired   (130,000)  $1.11    7.65    —   
Exercised   —      —      —      —   
Outstanding - October 31, 2019   8,861,675   $0.98    6.71   $5,859,392 

The following is a summary of the common stock options granted, forfeited or expired and exercised under the Plan:

   Options  Weighted Average Exercise Price per Share  Weighted Average Remaining Life (Years)  Aggregate Intrinsic Value
Outstanding – August 1, 2018   379,998   $1.48    1.11    69,843 
Granted   —      —             
Forfeited or expired   (147,777)   (0.05)          
Exercised   —      —             
Outstanding - July 31, 2018   232,221   $1.00    0.25    10,719 
Granted   9,976,125    0.71    7.59    20,821,821 
Forfeited or expired   (2,219,671)   (0.43)   8.18      
Exercised   —      —             
Outstanding - July 31, 2019   7,988,675   $0.84    7.21    15,961,391 
Fair value assumptions used in Black-Scholes option-pricing

The following assumptions were used in the Black-Scholes option-pricing model:

   October 31,
2019
Exercise price   $2.01 – 2.09 
Time to expiration   5 years 
Risk-free interest rate   1.51% - 1.59% 
Estimated volatility   153.4%
Expected dividend   —   
Stock price at valuation date   $2.01 – 2.09 

The following assumptions were used in the Black-Scholes option-pricing model:

     

Year Ended

July 31, 2019

 
Exercise price     $0.11 – 1.85  
Expected term     5 to 10 years  
Risk-free interest rate     2.03% - 3.15 %
Estimated volatility     135.2% - 222.2 %
Expected dividend     —    
Stock price at valuation date     $0.11 – $1.85