Problem 3. Let G(S,t) and cz(S. t) be the prices at time t of two European call options on the same non-dividend paying
Posted: Mon May 09, 2022 12:07 pm
Problem 3. Let G(S,t) and cz(S. t) be the prices at time t of two European call options on the same non-dividend paying stock with price S, with same expiration T and with strike prices K and K2, respectively. Assume that Ki <K2. (1) Explain why & -o is a solution of the Black-Scholes PDE. (ii) By considering (Sr, T) - (Sr, T) deduce that OSA(S..t) - ca(S. t) S (K2 - Ki)e-(7-6) (Hint: You need to construct arbitrage argument above in the left and right hand sides of the inequalities.)