Fibonacci Retracement
Fibonacci Retracement is a technical analysis tool that identifies potential support and resistance levels by applying key ratios derived from the Fibonacci sequence — primarily 23.6%, 38.2%, 50%, 61.8%, and 78.6% — to a prior significant price move. These levels are widely plotted on Nifty 50 and Bank Nifty charts by Indian technical analysts.
The Fibonacci sequence, discovered by the 13th-century mathematician Leonardo Fibonacci, produces a series of numbers where each number is the sum of the two preceding it (1, 1, 2, 3, 5, 8, 13 …). The ratios between successive numbers converge to approximately 1.618 (the golden ratio) and its inverses. The key retracement levels used in technical analysis — 38.2%, 61.8%, and their complement 23.6% and 78.6% — are all derived from these ratios.
To apply Fibonacci Retracements on an NSE chart, an analyst identifies a significant swing low and swing high (or vice versa) and applies the tool, which automatically draws horizontal levels at the key ratios between those two extremes. For a Nifty rally from 15,000 to 18,000, the 61.8% retracement level would be at 16,146, the 50% level at 16,500, and the 38.2% level at 16,854. These levels were cited as potential areas of demand during any subsequent pullback.
The 61.8% retracement level — often called the 'golden ratio' retracement — historically attracted the most attention in Indian technical analysis commentary. On both Nifty weekly charts and individual large-cap stock charts, pullbacks that found support in the vicinity of the 61.8% level before resuming the trend were frequently cited as examples of Fibonacci retracements functioning as expected. The selection of these examples over instances where the levels were not respected introduces survivorship bias in informal analyses.
Fibonacci extensions — projections beyond the original high or low — were used to identify potential upside targets after a retracement. Common extension levels of 127.2%, 161.8%, and 261.8% were plotted by analysts to assess where a resumed trend might reach, providing reference points for discussion rather than definitive price targets.
A significant misconception is that Fibonacci levels have a natural or mathematical basis for governing market prices. While the golden ratio appears in nature, there is no established theoretical reason why financial markets — driven by human behaviour, monetary policy, and macroeconomic factors — should revert at these specific proportions. Their effectiveness, where observed, likely reflects widespread monitoring of the same levels by many participants, creating temporary concentrations of interest through collective behaviour.