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 ?