Fibonacci in nature and in trading
Leonardo Fibonacci described a mathematical sequence in the 13th century whose proportions appear throughout nature — from the arrangement of rose petals to the spirals of galaxies. In trading, Fibonacci levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) are used to identify potential reversal and correction zones within a trend. It is not magic — it is mathematics the market respects, because millions of traders use the same levels.
The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... Each number is the sum of the two before it. The ratio of any number to the next gives roughly 1.618 — the "golden ratio" (phi). The Fibonacci retracement levels derive from this ratio: 61.8% is the inverse of phi (1/1.618), 38.2% is 1 - 0.618, and 23.6% is the square root of 0.618.
Fibonacci levels work as a self-fulfilling prophecy. So many traders watch the same 61.8% level that their collective activity creates real support and resistance.
Fibonacci retracement — how to draw and use it
A Fibonacci retracement is drawn from the peak to the trough in a downtrend, or from the trough to the peak in an uptrend. The tool automatically generates the 23.6%, 38.2%, 50%, 61.8% and 78.6% levels between points A and B. These levels indicate how deep a correction may run before the trend resumes.
The most important level is 61.8% — the "golden section". In a healthy trend, a correction rarely exceeds this level. If price penetrates 61.8%, the trend may be weakened or finished. The 50% level is not strictly a Fibonacci level, but it was added by Ray Dalio in Elliott wave theory — the market respects it nonetheless.
A practical example: EUR/USD rises from 1.0800 to 1.1200 (a 400-pip move), then begins a correction. The retracement levels are: 23.6% = 1.1106, 38.2% = 1.1047, 50% = 1.1000, 61.8% = 1.0953, 78.6% = 1.0872. If price bounces off 1.0953 (61.8%) with candlestick confirmation, that is a classic long entry signal.
Fibonacci extension — price targets
The Fibonacci extension is used to determine price targets — where price may travel once the correction ends and the trend resumes. The standard extension levels are 127.2%, 161.8% and 261.8%. It is drawn across three points: the start of the trend (A), the peak of the impulse (B) and the bottom of the correction (C).
If price breaks resistance and starts a new impulse, the 161.8% extension is a frequent target — especially on forex pairs. For example, if the A-B impulse was 200 pips and the B-C correction was 125 pips (a 61.8% retracement), then the 161.8% extension points to a 324-pip target from point C. That is not a guarantee — it is a probability that gains strength when it converges with resistance levels.
The key rule: Fibonacci only in a trend
Fibonacci levels only work in a clear trend. In a sideways (ranging) market they are useless — no impulse, no correction, no Fibonacci. Before you draw a retracement, ask yourself: is there a clear trend? Do I see higher highs and higher lows (in an uptrend)? If the answer is no, skip Fibonacci and move on to other tools.
Correctly choosing points A and B is the second key skill. Point A is a clear trough (or peak), and point B is a clear peak (or trough) of the impulse. Do not pick random candles — look for points where the market's direction changed with volume confirmation. Wrong points = wrong levels = wrong signals.
Summary: Fibonacci as part of a system
The Fibonacci retracement is a powerful tool for identifying entry zones within a trend, and the extension helps set realistic price targets. But remember: Fibonacci is not a crystal ball. It works best in a clear trend, combined with other analytical tools, and always with disciplined risk management. Learn to draw the levels correctly, wait for price confirmation, and never open a position "at the level" without a stop-loss.
Peter Crawford
Technical Analysis ExpertSenior market analyst with years of experience in the financial markets. Specializes in technical analysis, risk management, and retail investor education.
Legal notice: This article is for informational and educational purposes only. It does not constitute investment advice or a trading recommendation. Trading CFDs involves a high risk of capital loss. We recommend consulting a financial advisor before making any investment decisions.
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