Can I add value to an open existing trade?

I have been trading for a while. Is there any way to add value to an existing open trade or does this always have to result in the creation of a new transaction?

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November 2016
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No. You have to do a new transaction. Each trade/transaction is called a "tax lot", or just "lot".

In your calculations, blend all of your transactions together to get an average cost basis (the average of what you paid). The reason you can't "add value" to an open trade is you can't just buy more at the original price you paid. You have to buy at the updated prices available to you now.