1. Consider two types of European-style barrier options with barrier price X, (1) an "up-and-out" call option, and (2) a "down-and-out" put option. The up-and-out option begins with S X and expires immediately and with zero payoff if the price S falls to X. (a) For the up-and-out call option, suppose that X E. What must be true about the price of such a barrier put option? Explain