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Please help me with this Financial Math problem. Consider the binomial model where a non-dividend-paying stock S has current price So 40 and in 1

Please help me with this Financial Math problem.

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Consider the binomial model where a non-dividend-paying stock S has current price So 40 and in 1 year time it can either be 45 or 39. Suppose that each outcome has physical probability p-1/2. The risk free rate for one year is 5% (cont. compounding). (a) Draw the binomial model and find u, d and the risk neutral probability qu. (b) Using part (a) calculate the price of a European put option written on the stock S with strike (c) Find the replicating portfolio (M, Z) that replicates the option in part (b). Recall that M is the (d) Check that the value of the portfolio found in (c) is indeed equal to the value of the put option (e) Calculate the price of a derivative written on the stock S with maturity T-1 year and whose price K = 41 and maturity 1 year. amount invested in the stock and Z in the bank account. at step 0 and at step 1. payoff is given by g(Sr) = max(Sr, SJ

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