A Perfect Hedge refers to a series of positions taken by a trader in which to sum of the positions equate to a combined Beta of 0.0.
A Perfect Hedge can also be achieved in a trader’s book by each directional trade (long or short) being offset by a corresponding and inversely correlated opposite directional trade. In this case each trade need not be offset by the identical type of investment product. For example, a position of long 100 shares of a stock can be offset by buying a Put Options contract of the same security. This will create a perfect hedge in a way that the long equity position will gain when the stock rises in value, but at the same time the option will be losing in value by a corresponding amount. A Perfect Hedge can be used to lock in the gains of a position while limiting losses at the same time.