(a) Suppose Brownian motion is used to model stock prices (instead of geometric Brownian motion). If S...

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(a) Suppose Brownian motion is used to model stock prices (instead of geometric Brownian motion). If S0 = 10, μ = 0 per year, volatility = 1 per square root year, and T = 1/12 years (about 30 days), what is the probability a stock’s price ST will be less than 0? less than 1? less than 9? less than 10? 

(b) What is the probability the price went below 0 at some time before t = T and ended above 0? Estimate this by simulation using several difference choices for Δt.

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Finance With Monte Carlo

ISBN: 9781461485100

2013th Edition

Authors: Ronald W. Shonkwiler

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