Suppose that c_1, c_2, and c_3 are the prices of European call options with strike prices X_1, X_2, and X_3, respectively, where X_3 > X_2 > X_1 and X_3 - X_2 = X_2 - X_1. All options have the same maturity. Show that c_2 lessthanorequalto 0.5 x(c_1 +c_3). Why is an American gall option on a dividend-paying stock always worth at least as much as its intrinsic value. Is the same true of a European call option? Explain your