Let S t , 0 t T be a Geometric Brownian Motion (GBM) random variable

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Let St, 0 ≤ t ≤ T be a Geometric Brownian Motion (GBM) random variable with drift μ and volatility parameter σ. Suppose S0 = 1 and σ2/2 = μ. What is the mean of log ST ? What is the mean of ST itself? Is this sensible?

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Finance With Monte Carlo

ISBN: 9781461485100

2013th Edition

Authors: Ronald W. Shonkwiler

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