As for why companies choose to split stock, I tend to think Yabob has the right of it in that it’s mostly psychological. People will look only at the price of a stock without stopping to other relevant factors (price-to-earnings, growth, etc…).
I’m not sure I buy the liquidity argument. Again, I think this is more of a psychological thing than anything else. In this case, however, it’s the psychological impulse to buy stock in nice round numbers of lots (100, 200, etc…). There is absolutely nothing stopping you from buying 1 share of a stock, but there is a stigma attached to this practice (i.e., odd-lotters don’t know what they’re doing).
There are exceptions to this, of course. One such exception is Berkshire Hathaway BRKA stock. The share price is so high that many people cannot reasonably afford to buy even a single share of the stock. This prompted the company to issue BRKB stock, which is essentially a splitted version of the original issue (20-1 or something like that, I think).
An interesting effect of stock splits, however, is that because of these psychological factors, the share prices tend to rise after a split, benefitting current shareholders. I believe this is what Warren Buffet, being a value investor, objects to. After all, the reasoning goes, the company hasn’t gained value simply by the paper transanction of splitting stock, so why should it’s market capitalization (# of shares outstanding x share price) increase? He argues that stock splits merely increase volitility.
FairyChatMom, I don’t believe companies get anything out of the value of the stock once it’s sold to the general public. I imagine though that there’s a “confidence factor” involved here, in that poor performance in the stock market would be deemed to reflect poor performance of the company at large. Along those lines, a company certainly could issue new stock if they so chose, in order to raise more cash, and in fact, companies have done this in the past. This practice generally has a negative impact on the share price, however. If the total value of all issued stock is suppose to correlate in some fashion to the worth of a company (however you choose to define worth), then if you suddenly issue new shares, the value of each share should decrease.