binomial model (in the context of stocks): doesn't work well

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Jan 2023-8-8

can someone kindly help me with the binomial model (in the context of stocks): on the page 36 [here]

(https://www.mathworks.com/help/releases/R2021a/pdf_doc/finance/fintbx.pdf)

in the

OptionPrice matrix

there are always 3 numbers non-zero in the 4,5 and 6th column ?

I mean, why the column 4,say, has the same number (three 3) of non-zero elements and not more, like

StockPrice matrix [it has 4] *above* it:

up-up-up,up-up-down,up-down-down,down-down-down

PS. **when are 2 paths exactly considered as the *same/different* in the binomial model** ?

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R2022a

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