Problem 1 (15 points). Consider the Binomial Asset Pricing Model, with u = 2, d = 1/2, r = 1/4 and So = 4. Consider a European Call Option with strike price K = 9, maturing at time N = 3. (1) State the non arbitrage condition and compute the Risk-neutral probabilities. (2) Using a backward recursion, find the arbitrage-free price of the option at time 0, i.e. V, under the risk-neutral probability. Problem 1 (15 points). Consider the Binomial Asset Pricing Model, with u = 2, d = 1/2, r = 1/4 and So = 4. Consider a European Call Option with strike price K = 9, maturing at time N = 3. (1) State the non arbitrage condition and compute the Risk-neutral probabilities. (2) Using a backward recursion, find the arbitrage-free price of the option at time 0, i.e. V, under the risk-neutral probability