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Consider a non-dividend-paying stock. We model this stock with a 20-period binomial tree with u = 3=2; d = 2=3 and pu = 0:51; pd

Consider a non-dividend-paying stock. We model this stock with a 20-period binomial tree with u =

3=2; d = 2=3 and pu = 0:51; pd = 1 pu.

(a) Can the stock price be at the same value after 20 periods from now, i.e., S0 = S20? If your answer

is \yes", how many times would the price have to increase and decrease for this to happen?

(b) What is the probability that S0 = S20?

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