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Do marketmakers always quote a bid and ask simultaneously
Yes, but also note each exchange have rules that states various conditions when the market maker can enlarge the bid-ask (e.g. for situations such as freely falling markets, etc.) and when the market makers need to give a normal bid-ask. In normal markets, the bid-asks are usually within exchange dictated bounds.  MM's price spread can be larger than bid-ask spread only when there are multiple market makers and different market makers are providing different bid-asks. As long as the MM under question gives bid and ask within exchange's rules, it can be fine. These are usually rare situations. One advice: please carefully check the time-stamps. I have seen many occasions when tick data time-stamps between different vendors are mismatched in databases whereas in real life it isn't.  MM's profits not just from spreads, but also from short term mean-reversion (fading). If a large order comes in suddenly, the MM increases the prices in one direction, takes the opposite side, and once the order is done, the prices comes down and the MM off-loads his imbalance at lower prices, etc.