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Q6) (1\%) Suppose that you are offered an American put option expiring at time 2 years with strike price 56 on a stock with initial price 62 in a two period binomial model. In a year, the stock price can rise by 5% or fall by 10%. We assume the risk-free interest rate r=2%. What is the arbitragefree price for this American option?.What is the arbitrage-free price for the European put option expiring at time 2 with the same strike price 56 written on the stock? Compare these prices and explain the result