Golden Ratio
The golden ratio, 1.618 (represented by the Greek letter phi), is the mathematical backbone of Elliott Wave analysis. It emerges from the Fibonacci sequence as you divide each number by the one before it: 5/3, 8/5, 13/8. The further you go, the closer you get to 1.618. Its inverse, 0.618, is equally useful. In wave analysis, these ratios appear everywhere. Wave 3 frequently equals 1.618 times the length of Wave 1. Wave 2 commonly retraces 61.8% of Wave 1. Wave 5 often relates to Waves 1 through 3 by a golden ratio proportion. The 38.2% retracement (which is 0.618 squared) is a typical Wave 4 target. These aren't coincidences. Elliott believed that the same mathematical proportions governing natural growth patterns also govern crowd behavior in financial markets. For practical trading, the golden ratio gives you price targets and reversal zones that consistently cluster around actual turning points. When multiple Fibonacci relationships converge at the same price level, a confluence zone, the probability of a reversal at that level goes up significantly.
Wave 1 of an impulse advances 100 points. Wave 3 reaches exactly 161.8 points, or 1.618 times Wave 1. Wave 2 retraced 61.8% of Wave 1 before Wave 3 launched. Wave 4 later retraces 38.2% of Wave 3. Every key turning point in this impulse sequence relates back to the golden ratio.