Problem 4. () Verify that /(S.2) = (2+3xy(7-1) 93 is a solution of the Black-Scholes partial differential equation 1+rSf
Posted: Mon May 09, 2022 10:44 am
Problem 4. () Verify that /(S.2) = (2+3xy(7-1) 93 is a solution of the Black-Scholes partial differential equation 1+rSf9 + bo+sÂș fss = 11 1 with /(0,0) - 0 for 0 SIST and S(Sr.T) - (ii) Consider a derivative with underlying asset whose price S follows the Ito process ds - Sdt + SdB and which provides a single payoff at time T > 0 in the amount of sy where Sy is the underlying asset price at time T. What is the price of this derivative at time 0 St<T? (Hint: The answer is not far away.)