Morgan Stanley Interview Question
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Interview Question for Quantitative Analyst at Morgan Stanley:
What is the probability of a Brownian motion hit 1 before hitting -2. The Brownian motion starts at 0.
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If the first move is to the right(with prob 0.5), it hits 1
If the first move is to the left, then we have to find the prob of hitting 1 before hitting 2, starting from -1, which is equal to (1-p).
So p = 0.5 + 0.5*(1-p)
p=2/3
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