Let Ï(t) be a deterministic function such that Consider the process Use Ito's rule to show that
Question:
Consider the process
Use Ito's rule to show that this process satisfies
dZ = ÏZdW.
Deduce that this process is a martingale process. Use this fact to find the moment-generating
Function
f(y) = E[eyX]
of the random variable
Finally, argue that X is normally distributed, with mean zero and variance
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Related Book For
Organic Chemistry
ISBN: 9788120307209
6th Edition
Authors: Robert Thornton Morrison, Robert Neilson Boyd
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