Free Fibonacci Calculator

What is the Fibonacci Sequence?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. This mathematical sequence, discovered by the Italian mathematician Leonardo of Pisa (known as Fibonacci), appears throughout nature, art, and architecture. In financial markets, ratios derived from this sequence are used to identify potential support, resistance, and price target levels.

The key ratios used in trading are derived by dividing numbers in the sequence. For example, dividing a number by the next number in the sequence approaches 0.618 (61.8%), while dividing by the number two places ahead approaches 0.382 (38.2%). These ratios form the foundation of Fibonacci retracement and extension analysis.

Fibonacci Retracement Levels

Fibonacci retracement levels are horizontal lines that indicate where support and resistance are likely to occur during a price pullback. They are calculated by taking the difference between a high and low point and multiplying it by the key Fibonacci ratios. The standard retracement levels used in this calculator are:

• 23.6% — A shallow retracement, often seen in strong trends where the price barely pulls back before continuing.
• 38.2% — A moderate retracement level that frequently acts as support or resistance in trending markets.
• 50% — While not a true Fibonacci ratio, the 50% level is widely watched by traders as a common retracement point.
• 61.8% — The golden ratio and the most significant Fibonacci level. Price often reverses strongly at this level.
• 76.4% — A deep retracement that may indicate the trend is weakening but has not yet reversed.
• 100% — A full retracement back to the starting point of the move.
• 138.2% — An extended retracement beyond the original move, suggesting a potential trend reversal.

Fibonacci Extension Levels

Fibonacci extensions project price targets beyond the original price swing. They help traders identify potential profit-taking zones and areas where the price may encounter resistance or support after breaking through the original high or low. The extension levels available in this calculator are:

• 61.8% — The first extension target, representing a move equal to 61.8% of the original swing beyond the starting point.
• 100% — A measured move equal to the full length of the original swing.
• 138.2% — An extension of 138.2% of the original swing from the starting point.
• 161.8% — The golden ratio extension, one of the most commonly watched extension levels for profit targets.
• 200% — A double move extension, indicating the price has traveled twice the original swing distance.
• 261.8% — An aggressive extension target, typically reached only in very strong trending markets.

How to Use This Fibonacci Calculator

1. Enter the High Value: Input the highest price point of the swing you are analyzing. This is the peak of an uptrend or the starting point of a downtrend.
2. Enter the Low Value: Input the lowest price point of the swing. This is the bottom of a downtrend or the starting point of an uptrend.
3. Enter the Custom Value: Optionally enter a custom reference price that you want to visualize on the diagram alongside the high and low.
4. Select Trend Direction: Choose Uptrend if the price moved from low to high, or Downtrend if the price moved from high to low.
5. Click Calculate: The calculator will display both Fibonacci retracement and extension levels along with a visual diagram showing the trend direction.

Uptrend vs. Downtrend Fibonacci

In an uptrend, Fibonacci retracement levels are measured from the high down toward the low. The 0% level corresponds to the high (the most recent peak), and the 100% level corresponds to the low (the swing bottom). Traders use these levels to find potential support areas where the price might bounce during a pullback. Extensions project above the high to identify potential profit targets.

In a downtrend, the levels are reversed. The 0% level corresponds to the low (the most recent trough), and the 100% level corresponds to the high (the swing top). Traders use these levels to find potential resistance areas where the price might stall during a bounce. Extensions project below the low to identify potential downside targets.

Why Use Our Fibonacci Calculator?