... I ! = 0, this doesn’t really tell us anything useful about I Thus, P P we consider subsets of , rather than individual elements of e Distribution of B T If is constant, then n o Z T ... is a martingale under IP 192 Lemma 1.54 (Baye s Rule) If X is F t-measurable ands t T , then f IE X jF s = Z s IE XZ tjF s : Proof: It is clear that Z 1s IE XZ tjF s is ... y2 dy (Substitute y = T + b) y = T + b = p 2T ,1 = 0: CHAPTER 17 Girsanov s theorem andthe risk-neutral measure 191 fe We can also see that I B T = by arguing directly from the density formula...