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Suppose stock XYZ has a current price of $50. We model the daily innovation in the stock price by assuming that (absolute) daily price changes

Suppose stock XYZ has a current price of $50. We model the daily innovation in the stock price by assuming that (absolute) daily price changes are i.i.d. (independent and identically distributed), with each change S(t+1) S(t) having mean zero and standard deviation $0.60. Can you approximate the probability that the stock price will exceed $52 on August 23, 2021 (6 months from today)?

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