Question: Consider a binomial model with risk-free return of 1% per period, initial stock price S (0) = $120 , and parameters u = 0 .

Consider a binomial model with risk-free return of 1% per period, initial stock price S (0) = $120 , and parameters u = 0 . 1 and d = ? 0 . 2 . (a) Find the initial price of a European put option with strike price $130 and maturity in 3 periods. (b) Find the replicating portfolio in part (a) for all time steps using the stock and the risk-free asset. (c) Find the initial price of an American put option with the same strike price and maturity as in part (a). (d) Find the initial prices of a European call and an American call with the same strike price and maturity as in part (a).

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