Fibonacci Extension Calculator
Use our free Fibonacci extension Calculator to plan your technical analysis strategy. Get detailed breakdowns, charts, and actionable insights.
Fibonacci Extension Calculator
Calculator
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Formula: Extension = Retracement + Swing Range x Fibonacci Level
Worked example — Targets: $155.90 (61.8%) | $175 (100%) | $205.90 (161.8%) | R:R at 161.8% = 3.24:1
Formula
Extension = Retracement + Swing Range x Fibonacci Level
For bullish extensions, each target is calculated by adding the swing range (high minus low) multiplied by the Fibonacci ratio to the retracement point. For bearish extensions, the product is subtracted. Standard levels include 61.8%, 100%, 127.2%, 161.8%, 200%, 261.8%, 361.8%, and 423.6%. Risk-reward is computed as the distance to target divided by the distance to stop-loss.
Worked Examples
Example 1: Bullish Fibonacci Extension on Stock
Problem:A stock moves from $100 (swing low) to $150 (swing high), then retraces to $125 (50% retracement). Calculate bullish extension targets.
Solution:Swing range: $150 - $100 = $50 Retracement: ($150 - $125) / $50 = 50% Extension targets from $125: 61.8%: $125 + $50 x 0.618 = $155.90 100%: $125 + $50 x 1.0 = $175.00 161.8%: $125 + $50 x 1.618 = $205.90 261.8%: $125 + $50 x 2.618 = $255.90 Risk (stop at $100): $125 - $100 = $25 R:R at 161.8%: ($205.90 - $125) / $25 = 3.24:1
Result:Targets: $155.90 (61.8%) | $175 (100%) | $205.90 (161.8%) | R:R at 161.8% = 3.24:1
Example 2: Bearish Fibonacci Extension on Forex
Problem:EUR/USD drops from 1.1200 (swing high) to 1.0800 (swing low), retraces to 1.1000 (50% retracement). Calculate bearish targets.
Solution:Swing range: 1.1200 - 1.0800 = 0.0400 Retracement: (1.1000 - 1.0800) / 0.0400 = 50% Bearish extensions from 1.1000: 61.8%: 1.1000 - 0.0400 x 0.618 = 1.0753 100%: 1.1000 - 0.0400 x 1.0 = 1.0600 161.8%: 1.1000 - 0.0400 x 1.618 = 1.0353 Risk (stop at 1.1200): 1.1200 - 1.1000 = 0.0200 R:R at 100%: (1.1000 - 1.0600) / 0.0200 = 2.0:1
Result:Targets: 1.0753 (61.8%) | 1.0600 (100%) | 1.0353 (161.8%) | R:R at 100% = 2.0:1
Frequently Asked Questions
What are Fibonacci extensions and how are they used in trading?
Fibonacci extensions are technical analysis tools that project potential price targets beyond the original swing move by applying Fibonacci ratios to the price range. Traders use a three-point pattern: the initial swing low, the swing high, and a retracement point. The extension levels (typically 61.8%, 100%, 127.2%, 161.8%, 200%, 261.8%) are then projected from the retracement in the direction of the primary trend. For example, in an uptrend, if a stock moves from $100 to $150 and retraces to $125, the 100% extension target would be $175 ($125 + $50). These levels serve as potential take-profit zones, resistance or support areas, and help traders establish risk-reward ratios for their positions. Extensions are most reliable when they converge with other technical indicators.
What is the difference between Fibonacci retracements and Fibonacci extensions?
Fibonacci retracements and extensions measure different aspects of price movement. Retracements identify potential support and resistance levels WITHIN the original swing — they show where a pullback might stop before the trend resumes. Common retracement levels are 23.6%, 38.2%, 50%, 61.8%, and 78.6% of the original move. Extensions, on the other hand, project price targets BEYOND the original swing — they estimate how far the next impulse wave might travel after the retracement completes. Extension levels start at 61.8% and go up to 423.6% or higher. In practice, traders use retracements to find entry points during pullbacks and extensions to set profit targets. Both tools are derived from the Fibonacci sequence where each number is the sum of the two preceding numbers.
Which Fibonacci extension levels are most significant for trading?
The most widely watched Fibonacci extension levels are 100%, 161.8%, and 261.8%, with 161.8% (the golden ratio) being considered the most significant. The 100% extension represents an equal measured move — the projection travels the same distance as the original swing. This level frequently acts as initial resistance or support in trending markets. The 161.8% extension is derived from the golden ratio (phi) and is considered the primary Fibonacci target by most institutional and algorithmic traders. The 261.8% extension serves as a stretch target in strongly trending markets. Minor levels like 127.2% and 200% also attract attention. When multiple Fibonacci extension levels from different swings cluster together (confluence), those price zones become particularly strong areas of anticipated reversal or consolidation.
How do I correctly identify swing points for Fibonacci extension analysis?
Properly identifying swing highs and swing lows is critical for accurate Fibonacci extension projections. A swing high is a candlestick high that is higher than the highs of the candles on both sides (typically requiring at least 2-3 bars on each side for confirmation). A swing low is a candlestick low that is lower than the lows of surrounding candles. For best results, use significant swing points that are visible on the timeframe you are trading — not every minor fluctuation. Higher timeframe swings (daily, weekly) produce more reliable extensions than lower timeframe swings (1-minute, 5-minute). The three-point selection requires identifying the trend impulse (point A to point B) and the subsequent retracement (point B to point C). Point C must be a confirmed retracement that does not exceed point A in the trend direction.
How do I combine Fibonacci extensions with risk-reward ratios for trade management?
Combining Fibonacci extensions with risk-reward analysis creates a structured trade management framework. First, identify your entry at the retracement point (Point C) and your stop-loss below the swing low (bullish) or above the swing high (bearish). This defines your risk per unit. Then calculate the risk-reward ratio for each extension level: RR = (Extension Target - Entry) / (Entry - Stop Loss). Most professional traders require a minimum 2:1 risk-reward ratio, meaning the 100% extension often serves as the minimum viable target. The 161.8% extension typically offers 3:1 or better ratios. A common strategy is to take partial profits at the 100% extension (securing 1:1 or better), move the stop to breakeven, and let the remaining position target the 161.8% or 261.8% level. This approach locks in profits while maintaining exposure to larger moves.
Where do the ratios 1.618, 1.272 and 2.618 actually come from?
They all derive from phi, the golden ratio, which equals (1 + √5) / 2 or approximately 1.6180. Squaring phi gives 2.618 and cubing it gives 4.236, which is why those appear as the stretch levels in the table. The 1.272 level is the square root of 1.618, and 3.618 is simply phi squared plus one. On the retracement side the same constants invert: 0.618 is 1 divided by phi, 0.382 is phi to the power of minus two, and 0.236 is phi to the minus three. Recognising the arithmetic makes it clear the levels are one family, not an arbitrary list.
Why is 50% included as a retracement level when it is not a Fibonacci ratio?
Fifty percent is not derived from the Fibonacci sequence or from phi at all; it comes from Dow theory's observation that corrections often give back about half of the preceding move. It survives on charts because so many traders watch it that it becomes partly self-fulfilling, and because it sits neatly between the 38.2 and 61.8 levels that are genuine phi derivatives. The calculator includes it when reporting the nearest standard retracement so the label matches what your charting platform shows, but treat it as a convention rather than a mathematical level.
What is the difference between projecting from the retracement point and a simple measured move?
Fibonacci Extension Calculator uses the three-point trend-based method: it adds the swing range multiplied by each ratio to point C, the retracement. A simple measured move instead adds the range to point B, the swing high, ignoring how deep the pullback went. The two agree only when the retracement is zero. Because the three-point method anchors on C, a deeper pullback shifts every target lower in a bull setup, which is realistic, since the impulse restarts from a lower base. Use the measured move when you want a target independent of pullback depth, and the three-point method when you are entering at C.
How does the depth of the retracement change which extension target is realistic?
A shallow pullback to the 23.6 or 38.2 level signals strong continuation pressure, and the 161.8 or 261.8 extensions become plausible because momentum has barely paused. A deep retracement to 78.6 tells you the counter-trend flow was substantial, so the 61.8 and 100 extensions are the sensible working targets and the further levels should be treated as stretch objectives only. The deep pullback does have a compensating benefit: entering near point A shortens the distance to your stop, so the risk-to-reward ratio at each target improves even though the targets themselves sit lower.
What invalidates a Fibonacci extension setup before the first target is reached?
The structure depends on point C holding as a higher low in a bullish setup or a lower high in a bearish one. If price trades beyond point A, the original swing origin, the retracement has become a full reversal and the swing range you measured no longer describes the active move, so every projected level is void. That is why the stop in Fibonacci Extension Calculator sits at the swing low for bullish setups and the swing high for bearish ones. A close beyond point A is the signal to redraw from the new swing rather than to widen the stop.
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
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