Suppose that, in each period, the cost of a security either goes up by a factor of 2 or goes down by a factor of 1/2 (i.e., u = 2, d = 1/2). If the initial price of the security is 100, determine the no-arbitrage cost of a call option, C, to purchase the security at the end of two periods for a price of 150.
(Hint: use formula C = (1+r)^-n E[max(0, S(0)*u^Y*d^(n - Y) - K)] .)