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Solve the Following Steps Properly: In what follows we let T > 0 and we consider a filtration (Ft)te[0,7] on [0,T] with Fo = {0,2}

Solve the Following Steps Properly:

In what follows we let T > 0 and we consider a filtration (Ft)te[0,7] on [0,T] with Fo = {0,2} and a

1) a) (5 marks) Show that any martingale (Mt)te[0,7] on [0, 7] is a local martingale in [0, 7]. b) (10 marks)


In what follows we let T > 0 and we consider a filtration (Ft)te[0,7] on [0,T] with Fo = {0,2} and a probability measure P on (N, FT). An (Ft) te[0,7]-adapted process (Mt) te[0,7] is called a (true) martingale on [0,7] if Text i) E[M]

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