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A simple model of the stock market suggests that, each day, a stock with price q...

A simple model of the stock market suggests that, each day, a stock with price q will increase by a factor r > 1 to qr with probability p, and will fall to q/r with probability (1-p). Assuming we start with a stock with price 1, find a formula for the expected value and the variance of the price of the stock after d days.

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