Fibonacci Extension Calculator
Use our free Fibonacci extension Calculator to plan your technical analysis strategy. Get detailed breakdowns, charts, and actionable insights.
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\nRetracement: ($150 - $125) / $50 = 50%\nExtension targets from $125:\n61.8%: $125 + $50 x 0.618 = $155.90\n100%: $125 + $50 x 1.0 = $175.00\n161.8%: $125 + $50 x 1.618 = $205.90\n261.8%: $125 + $50 x 2.618 = $255.90\nRisk (stop at $100): $125 - $100 = $25\nR: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\nRetracement: (1.1000 - 1.0800) / 0.0400 = 50%\nBearish extensions from 1.1000:\n61.8%: 1.1000 - 0.0400 x 0.618 = 1.0753\n100%: 1.1000 - 0.0400 x 1.0 = 1.0600\n161.8%: 1.1000 - 0.0400 x 1.618 = 1.0353\nRisk (stop at 1.1200): 1.1200 - 1.1000 = 0.0200\nR: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 get the most accurate result?
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
Does Fibonacci Extension Calculator work offline?
Once the page is loaded, the calculation logic runs entirely in your browser. If you have already opened the page, most calculators will continue to work even if your internet connection is lost, since no server requests are needed for computation.