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Is there a way to create a limit order with both an upper and lower limit
In a way yes but I doubt you'd want that. A "Stop-Limit" order has both stop and limit components to it but I doubt this gives you what you want. In your example, if the stock falls to $1/share then the limit order of $3/share would be triggered but this isn't quite what I'd think you'd want to see. I'd suggest considering having 2 orders: A stop order to limit losses and a limit order to sell that are separate rather than fusing them together that likely isn't going to work.