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Homework # 5 Solution

Solution: Let s be the initial price of the stock. Denote X the number of increase periods among the 1000 time periods. Then the price at the end is suXd1000−X In order for thye price to be at least 1.3s, we need d1000(u d)X > 1.3 ⇒ X > log(1.3)−1000logd log(u/d) ≈ 469.2 That is, we need at least 470 increase periods.

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