2. Let W be a one-dimensional Wiener process on the space (12, F,P) and let X4 = Se-20dWu for t € (0,T]. , E = 2 i) Show
Posted: Wed May 11, 2022 7:35 pm
2. Let W be a one-dimensional Wiener process on the space (12, F,P) and let X4 = Se-20dWu for t € (0,T]. , E = 2 i) Show that X is a true martingale (not just a local martingale) and com- a pute it's quadratic variation (X). ii) Show that X admits the following representation t X+ = e-2W+ + 2 = e eſ e-20Wudu