First order moment of the logarithm of the asset price

 

Insert risk free interest rate r* (years-1) (0 < r* < 1)
Insert correlation coefficient (-1 < r < 1)
Insert vol of vol e (years-1/2) (0 < e < 1)
Insert drift of variance m (years-1) (-1 <m<1)
Insert initial volatility (years-1/2) (0 < <2)
Insert initial value of the asset price (USD) ( > 0)
Insert time t (years) (0 < t < 2)
Insert sample dimension (0 < N < 100000)
Theoretical first order moment of :
Numerical first order moment of :