In fact, we should just formulate (in terms of the pay-off function g0 e9783110329681_i6897.jpg and the continuous time log-price processes e9783110329681_i6898.jpg with independent increments) conditions given in Theorems 6.2.5 and 6.2.6 in such way these theorems could be applied to the case of an arbitrary chosen partition Π.

In the case of approximation model with fixed skeleton structure, we should replace fitting conditions L4 and M4 by the following more general conditions imposed on transition probabilities and initial distributions of approximating atomic Markov chains YΠ,ε,n, which ...

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