Distribution of Q Process Integral and its Application in the Black and Scholes Equation
 
                 
                
                    
                                        
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Graphical Abstract
 
                                        
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Abstract
    Options are financial instruments designed to protect investors from the stock market randomness. In 1973, Black, Scholes and Merton proposed a very popular option pricing method using stochastic differential equations within the Itô interpretation. We give a analysis and numerical simulations for a Black and Scholes equation with Q process volatility.
 
                                        
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