Fibonacci Retracement: Mapping Hidden Support and Resistance Levels

Have you ever noticed how patterns in nature repeat themselves? The spiral shape of a seashell, the arrangement of seeds in a sunflower, and the shape of distant galaxies all share a common geometric pattern. This pattern is governed by a mathematical sequence discovered in medieval Europe. But what does medieval mathematics have to do with trading stocks? Surprisingly, the same mathematical ratios that govern nature are also used by traders to map out hidden support and resistance levels on stock charts. This tool is known as Fibonacci Retracement.

Introduced to technical analysis decades ago, Fibonacci Retracement levels are based on the work of Leonardo of Pisa, known as Fibonacci. He popularized the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21...), where each number is the sum of the two preceding it. In technical trading, we do not use the numbers themselves, but the ratios between them. These ratios act as psychological landmarks where buying or selling pressure is likely to accumulate.

The Ratios and the Golden Ratio

When you divide any number in the Fibonacci sequence by the number that follows it (e.g., 8/13, 21/34), the result always approaches 0.618 (61.8%). This is known as the Golden Ratio. It is the core level of the Fibonacci Retracement tool.

The primary Fibonacci retracement levels used in trading are: