Fibonacci Extension Calculator

Calculate price references from fixed Fibonacci extension anchors. Treat every result as a planning level, not a prediction.

Price Range
20.0000

2-Point Method

Simple extension from a swing high/low. Best for projecting targets from a single price move.

Extension Levels (Price Targets)

LevelPrice Target
100% Extension
0.0000

Equal move target

161.8% Extension
0.0000

Golden ratio reference

Test Note

For a long-rule test, compare exits at 100%, 127.2%, and 161.8% while keeping the same anchors, costs, and invalidation.

How to Use This Fibonacci Extension Calculator

Our Fibonacci extension calculator offers two methods for calculating price references. Choose the method that matches the number of anchors in your written rule:

2-Point Method (Simple Extension)

  1. Select Trend Direction: Choose Uptrend if price is rising (projecting targets above), or Downtrend if price is falling (projecting targets below).
  2. Enter High and Low Prices: Input the swing high and swing low of the price move you want to project from.
  3. Read Extension Levels: The calculator displays the calculated prices for each selected extension ratio.

3-Point Method (ABC Pattern)

  1. Identify the ABC Pattern: Point A is the start of the move, Point B is the end of the initial move, and Point C is where the retracement ends.
  2. Enter All Three Points: Input the price values for points A, B, and C from your chart.
  3. Project from Point C: Extension levels are calculated from Point C, projecting the AB move forward.

What is Fibonacci Extension?

Fibonacci extension (also known as Fibonacci projection or Fibonacci expansion) is a technical analysis tool used to calculate reference prices beyond the original price move. Unlike Fibonacci retracement which identifies pullback levels within a move, extensions scale the measured distance from a chosen anchor.

The key Fibonacci extension levels are derived from the same mathematical relationships as retracement levels:

  • 100.0% - Equal move (1:1 extension)
  • 127.2% - Square root of 1.618
  • 141.4% - Square root of 2
  • 161.8% - The "golden ratio" extension
  • 200.0% - Double the original move
  • 261.8% - 1.618 squared
  • 423.6% - 1.618 cubed (extended target)

Fibonacci Extension vs Retracement

Understanding the difference between these two tools is crucial for effective technical analysis:

AspectRetracementExtension
PurposeFind pullback levelsProject price targets
Levels23.6% to 78.6%100% to 423.6%
Use CaseEntry pointsProfit targets
DirectionWithin the moveBeyond the move

Why Fibonacci Extension Levels Matter

Setting Profit Targets

Extension levels provide exact prices for comparing exit rules. The 100%, 127.2%, and 161.8% levels are a compact starting set for a controlled test.

Identifying Resistance/Support

An extension can be compared with prior highs, lows, gaps, or other visible structure. Agreement between calculations does not guarantee a reaction.

Wave Analysis

Elliott Wave practitioners use Fibonacci extensions to measure conditional wave targets. The 161.8% level is one common Wave 3 reference, but the wave count and target can both fail.

Risk-Reward Planning

A calculated exit price lets a trader compare the possible reward with the entry-to-stop risk before taking a trade. The ratio does not establish the probability of success.

Frequently Asked Questions

Which continuation targets should I compare?

Start with 1.0, 1.272, and 1.618 under the same anchors, entries, costs, and failure rule. Compare how often each level is reached, how long trades remain open, and what happens before the setup fails.

When should I use 2-point vs 3-point method?

Use the 2-point method for simple projections from a single swing. Use the 3-point (ABC) method when you've identified a clear retracement pattern and want to project from the retracement end point. The 3-point method is more precise for wave analysis.

What does the 4.236 extension mean?

It projects 423.6% of the measured move. Because it is a distant reference, check whether the timeframe, nearby structure, and strategy holding period make it relevant.

Can AI predict stock prices with Fibonacci extensions?

No. AI cannot predict stock prices or guarantee that a projection will be reached. It can calculate fixed anchors, generate code, and help test a written rule.

This calculator is an information tool, not investment advice. Fibonacci extensions are calculated references and do not predict targets, reversals, or returns.

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