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Problem 5. Consider a three-step binomial model with risk-free return of r-- 10% per period, initial stock price S(0) S50, and parameters u 0.2 and d (a) (3 points) Find the risk-neutral probability p' and draw the binomial tree for the stock price. (b) (7 points) Determine the binomial tree (of option values) for the American put and call options with strike price X = $54 and maturity T = 3, In which scenarios (ie, at which nodes) should the options be exercised before maturity? Problem 5. Consider a three-step binomial model with risk-free return of r-- 10% per period, initial stock price S(0) S50, and parameters u 0.2 and d (a) (3 points) Find the risk-neutral probability p' and draw the binomial tree for the stock price. (b) (7 points) Determine the binomial tree (of option values) for the American put and call options with strike price X = $54 and maturity T = 3, In which scenarios (ie, at which nodes) should the options be exercised before maturity