Understanding price movement and "Getting run over"

I'm looking to understand how price movement happens in an exchange -- specifically how an order may be placed near the LAST price and then it "gets run over". From my basic understanding, if the price is 100 and you place your BUY at 101, it has to eat up 101 before it goes up further, right? Sometimes its so close to the current price that it moves right over the 101 BUY Order and goes up to 102 without eating up 101..? Is there a good explanation to the mechanics of how this happens? And how (using the same example), if I put my BUY in at 102 or 103 then it SURELY gets eaten up..

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