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Exercise 7. Suppose X, is an integrable continuous-time process on a probabil- ity space (N, F, P) equipped with the natural filtration FX of

Exercise 7. Suppose X, is an integrable continuous-time process on a probabil- ity space (N, F, P) equipped with the natural filtration FX of X{. Show that if X; is an increasing process, then it is a semimartingale.

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