Fibonacci Calculator
Enter any swing high and low to get the full set of Fibonacci retracement and extension levels — the same ratios used across every major charting platform.
| Level | Price |
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Extensions project beyond the swing — useful for setting take-profit targets once price has broken past the original high or low.
| Level | Price |
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How to use Fibonacci levels
Where a pullback might stall
38.2%, 50% and 61.8% are the most-watched retracement levels. A pullback that holds above 61.8% in an uptrend is generally read as the broader trend staying intact.
Where a move might run to
127.2%, 161.8% and 261.8% extensions project potential targets once price breaks past the original swing — popular levels for setting profit targets.
Stronger when levels stack
A Fibonacci level that lines up with a pivot point or a prior support/resistance zone is read as a stronger level than either alone — pair this tool with the Pivot Point Calculator.
- 01What are Fibonacci retracements?
- 02Why these specific ratios, and where they come from
- 03Retracements vs extensions
- 04A worked example, step by step
- 05Confluence: why levels matter more when they stack
- 06Choosing the right swing high and low
- 07Common Fibonacci mistakes to avoid
- 08How to use this calculator
What are Fibonacci retracements?
Fibonacci retracement levels identify potential support or resistance zones during a pullback within a larger trend, by measuring specific percentages of a prior price swing. After a stock or index moves from a swing low to a swing high (or vice versa), traders watch whether a subsequent pullback stalls near one of several specific ratios — most commonly 38.2%, 50%, and 61.8% — before the original trend potentially resumes.
Unlike pivot points, which are calculated from a fixed session's OHLC, Fibonacci levels are drawn — you choose the swing high and swing low yourself, based on what you judge to be the relevant recent price move. This makes Fibonacci levels more subjective than pivot points, and also more flexible across different timeframes and trading styles.
Why these specific ratios, and where they come from
The ratios — 23.6%, 38.2%, 61.8%, 78.6% — derive from the mathematical properties of the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21…), where each number is the sum of the two before it. As the sequence progresses, the ratio between consecutive numbers converges toward 0.618 (and its inverse, 1.618) — the "golden ratio" that appears repeatedly in nature, art, and architecture, and which technical analysts adopted for market price behaviour in the early 20th century.
50% is included by near-universal convention because price so often reacts at the halfway point of a move, even though 50% doesn't mathematically derive from the Fibonacci sequence itself. Whether Fibonacci ratios have genuine predictive power or work mainly because enough traders watch and act on the same levels is a long-running debate — either way, the levels remain widely tracked.
Retracements vs extensions
Retracements (0% to 100%)
- Measure a pullback within the original swing
- 23.6%, 38.2%, 50%, 61.8%, 78.6% are the standard levels
- Used to identify where a corrective move might stall before the trend resumes
Extensions (beyond 100%)
- Project beyond the original swing high or low
- 127.2%, 141.4%, 161.8%, 200%, 261.8% are the standard levels
- Used to set potential profit targets once price breaks past the original swing
A worked example, step by step
Suppose a stock rallies from a swing low of ₹100 to a swing high of ₹200, then begins to pull back.
| Level | Calculation | Price |
|---|---|---|
| 0% | Swing high | ₹200.00 |
| 38.2% | 200 − (100×0.382) | ₹161.80 |
| 50% | 200 − (100×0.5) | ₹150.00 |
| 61.8% | 200 − (100×0.618) | ₹138.20 |
| 100% | Swing low | ₹100.00 |
If the pullback holds above ₹138.20 (the 61.8% level) and turns back up, that's generally read as the broader uptrend remaining intact. A close decisively below it would suggest the pullback has become more than a routine retracement.
Confluence: why levels matter more when they stack
A single Fibonacci level, on its own, is a moderately useful reference. A Fibonacci level that happens to line up closely with a pivot point, a prior swing high/low, or a round psychological number is read as a considerably stronger zone, because multiple independent methods are pointing to the same price — this overlap is called confluence. Pairing this calculator with the Pivot Point Calculator is a natural way to check for this kind of overlap.
Choosing the right swing high and low
Since you select the swing points manually, the single biggest source of variation between two traders' Fibonacci analysis on the same chart is which swing they chose to measure. General guidance: pick the most recent, clearly defined swing relevant to your trading timeframe — a clean move with an obvious turning point at both ends, not a noisy, choppy range with no clear high or low.
Common Fibonacci mistakes to avoid
- Cherry-picking swing points to fit a desired outcome. Choosing a different swing high/low until the levels happen to support a trade you already wanted to take defeats the purpose of using an objective reference.
- Treating every level as equally significant. 38.2%, 50%, and 61.8% are the most-watched levels; 23.6% and 78.6% see less frequent reactions in practice.
- Using Fibonacci levels in isolation. They work best combined with other context — volume, trend direction, or confluence with pivot points — not as a standalone trading signal.
- Ignoring the direction convention. Retracements measure down from a high in an uptrend, or up from a low in a downtrend — getting this backward produces levels that don't correspond to anything meaningful on the chart.
How to use this calculator
- Choose Uptrend if measuring a pullback down from a recent high, or Downtrend for a pullback up from a recent low.
- Enter the swing high and swing low prices.
- Read the retracement levels for potential pullback support/resistance, and the extension levels for potential targets beyond the original swing.
- Cross-check against the Pivot Point Calculator for confluence — levels that agree across both tools carry more weight than either alone.
Frequently asked questions
There's no consensus answer - some technical analysts find them genuinely useful, attributing predictive value to the underlying ratios, while others argue any apparent effectiveness comes mainly from enough market participants watching and acting on the same widely-known levels, creating a self-fulfilling pattern. Either way, they remain one of the most widely used tools across retail and professional technical analysis.
61.8% (often called the "golden ratio" retracement) and 50% are generally considered the most closely watched levels, followed by 38.2%. A pullback holding above the 61.8% level is commonly read as the strongest sign the original trend remains intact.
Retracements (0% to 100%) measure a pullback within the original price swing - useful for finding potential support or resistance during a correction. Extensions (beyond 100%, like 127.2% or 161.8%) project past the original swing high or low - useful for setting potential profit targets once price breaks out beyond where it started.
Mathematically, 50% doesn't derive from the Fibonacci sequence the way 38.2%, 61.8%, and the other ratios do - it's included purely by trading convention, because price has historically shown a tendency to react at the halfway point of a move regardless of its mathematical origin.
Pick the most recent, clearly defined price swing relevant to your trading timeframe - a clean move with an obvious turning point at both ends. Avoid choppy, range-bound segments with no clear high or low, since the resulting levels won't correspond to a meaningful price move.
Yes. The same retracement and extension ratios apply identically whether you're measuring a multi-year swing on a weekly chart or a same-day swing on a 5-minute chart - the calculation doesn't change, only the swing high and low you choose to measure from.