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"Yes they are. In a delta hedge, if the stock goes up by 1USD, the calls will go down by 1USD*delta (assuming the dealer is short). So overall the change in value of the portfolio is zero."

Delta is between 0 and 1. so, the delta must be 1 for the net change to be zero - meaning you are deep in the money. In that case, you may be delta neutral. right?

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