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Why and why would/wouldn't a company split their stock?
A reason not to split your stock is that the value of the company might fall back again, and if its stock price falls below $1 it will be delisted from the NYSE. So if the value of your company grows tenfold so the shares go from $5 to $50, you do a ten-for-one split, and then its value shrinks back to where it started, you're off the stock exchange.