Suppose you own one share of a stock whose price changes according to a standard Brownian motion
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Suppose you own one share of a stock whose price changes according to a standard Brownian motion process. Suppose that you purchased the stock at a price b +
c, c > 0, and the present price is
b. You have decided to sell the stock either when it reaches the price b + c or when an additional time t goes by (whichever occurs first). What is the probability that you do not recover your purchase price?
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