Exercise 14.3.8 Let X(t) be the OrnsteinUhlenbeck process in Eq. (14.11). Show that the differential for Y(t)

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Exercise 14.3.8 Let X(t) be the Ornstein–Uhlenbeck process in Eq. (14.11). Show that the differential for Y(t) ≡ X(t) eκt is dY = σeκt dW. (This implies that Y(t), hence X(t) as well, is normally distributed.)

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