Evidence of Symmetry in price behaviour

ABSTRACTEvidence has been found of a relationship between gradients of consecutive bull and bear markets. The gradient of a major resistance trend line of a bear market can be derived from the resistance line of the preceding bull market. Similarly, a major support line of a bull market can be derived from a support line of the previous bear market. This phenomenon reveals a symmetrical relationship between the gradients of the resistance or support lines on either side of a trend reversal, i.e. of consecutive bull and bear trends.The relationship is inverse, as the gradient of the derived line is of opposite sign to that of the primary line. The magnitude of the new inverted gradient may be equal to that of the primary line, or it could differ by some multiple of the Fibonacci ratio.In practice, this relationship can be used to anticipate where a key reversal could occur during a new bull or bear market.The existence of a method to anticipate major reversals is of value for technical analysis, and is als...