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Calculations With Ito S Formula
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LECTURE 10: CHANGE OF MEASURE AND THE GIRSANOV …
galton.uchicago.edus θ2 u du/2 ˙. (Here we have used the elementary property of the normal distribution that, if X ∼Normal(0,σ2), then EeX = eσ2/2.) It follows from this that the process Z(t) is a martingale relative to the filtration (F t) 0≤t<∞, and that the equation (3) is valid for all t < ∞. Second Proof. We shall apply the Ito formula. Set f(x ...