A position undertaken by an investor that would eliminate the risk of an existing position, or a position that eliminates all market risk from a portfolio. In order to be a perfect hedge, a position would need to have a 100% inverse correlation to the initial position. As such, the perfect hedge is rarely found.
Taobiz explains Perfect Hedge
A common example of a near-perfect hedge would be an investor using a combination of held stock and opposing options positions to self-insure against any loss in the stock position. The cost of this strategy is that it also limits the upside potential of the stock position.