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. u = 2, d = 1/2).

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 to purchase the security at the end of two periods for a price of $150.