Use the following parameters in a two-period binomial tree model. S = $80, U = 1.4, D = 0.75, 1+R = 1.03. There are no dividends. (a) Draw the tree of stock prices over time. (b) What is the value of a 2-period plain vanilla European call option with K = $120 in this tree? (c) What is the Delta of the plain vanilla European call option in the 'up' node at time 1? A new exotic call option called the 'MaxiMinCall' is introduced to the market. The payoff of this new option is like a plain vanilla European call option except that the value of 'S' in the payoff function is not the spot price of the underlying asset at maturity, but the minimum spot price of the asset over the life of the option. In a 2-period binomial tree model, that means the payoff equals max [0, min (So - K, S - K, S - K)], (d) What is the value of the MaxiMinCall option with strike price K = $70 and a maturity of 2 periods in the above tree? (e) Compare the Delta of the MaxiMinCall option in the 'up' node at time 1 to the Delta of the plain vanilla European call option in that same node. Comment on the difference between the two Deltas and the leverage in the two options.