We place ourselves with the setup of the Black-Scholes market model M = (B, S) with a unique martingale measure P. Let the real numbers H and K satisfy H > K >0. Consider the gap option with the payoff at maturity date T given by the following expression X = g(ST) = (ST - K)+1 (S,2#). Sketch the graph of the function g(ST) and show that the inequality m(X)