Let (left(mathscr{F}_{t} ight)_{t geqslant 0}) be an admissible filtration for the Brownian motion (left(B_{t} ight)_{t geqslant 0}).

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Let \(\left(\mathscr{F}_{t}\right)_{t \geqslant 0}\) be an admissible filtration for the Brownian motion \(\left(B_{t}\right)_{t \geqslant 0}\). Mimic the proof of Lemma 2.14 and show that image text in transcribed for each \(t>0\).

Data From Lemma 2.14

image text in transcribed

image text in transcribed

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