Fibonacci Calculator

Fibonacci levels are horizontal lines on a price chart that indicate potential areas of support and resistance. They are derived from the Fibonacci sequence, a mathematical series where each number is the sum of the two preceding ones (0, 1, 1, 2, 3, 5, 8, 13, 21, ...).

The key ratios used in trading — 23.6%, 38.2%, 50%, 61.8%, and 78.6% — come from mathematical relationships between numbers in this sequence. For example, dividing any Fibonacci number by the next number in the sequence approximates 0.618 (61.8%), while dividing by the number two places ahead gives approximately 0.382 (38.2%).

Traders use these levels to identify where price may pause, reverse, or accelerate during a trend. When combined with other technical analysis tools, Fibonacci levels can provide high-probability trade setups.

Fibonacci retracements measure how far a price has pulled back from a recent swing. To use them, identify a significant swing high and swing low, then apply the Fibonacci tool between those two points.

In an uptrend, draw from the swing low to the swing high. The retracement levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) represent potential support zones where price may bounce and continue higher. A shallow retracement to 23.6% or 38.2% suggests strong momentum, while a deeper pullback to 61.8% or 78.6% may indicate weakening trend strength.

In a downtrend, draw from the swing high to the swing low. The retracement levels then become potential resistance zones where price may stall and resume its decline. Look for confluence with other indicators such as moving averages, volume profiles, or candlestick patterns at these levels for stronger signals.

The 61.8% level, known as the golden ratio (or phi), is widely considered the most important Fibonacci level in trading. This ratio appears throughout nature, art, architecture, and financial markets. It represents the limit of the ratio of consecutive Fibonacci numbers as the sequence approaches infinity.

In practice, the 61.8% retracement is often where the strongest reversals occur. Many institutional traders and algorithms use this level to place entries, making it a self-reinforcing zone. A price that holds the 61.8% retracement in an uptrend is generally considered to still be in a healthy bull trend.

Conversely, a break below the 61.8% level often signals that the current trend may be failing, and the 78.6% level becomes the last line of defense before a full retracement. This is why the 61.8% level receives special attention from traders across all timeframes and markets.

Fibonacci extensions project price levels beyond the original swing range, helping traders set profit targets for continuation moves. The most commonly used extension levels are 127.2%, 141.4%, 161.8%, 200%, 261.8%, and 423.6%.

After a retracement completes and price resumes in the original trend direction, extensions provide logical areas where the move may stall or reverse. The 161.8% extension (the golden extension) is the most widely watched and often serves as a primary profit target.

A common strategy is to take partial profits at the 127.2% level, move the stop-loss to breakeven, and let the remainder run toward 161.8% or 200%. Stronger trends may push through to 261.8% or even 423.6%, though these extreme extensions are less commonly reached.

Fibonacci levels are most effective when used in confluence with other technical tools. A Fibonacci level that aligns with a horizontal support or resistance zone, a moving average, a trendline, or a high-volume node carries significantly more weight than a standalone Fibonacci level.

Look for multiple Fibonacci levels clustering in the same area. For example, if the 61.8% retracement of one swing aligns with the 38.2% retracement of a larger swing, that price zone becomes a high-probability reaction area. This is known as a Fibonacci cluster or confluence zone.

Candlestick patterns at Fibonacci levels also add confirmation. A bullish engulfing candle at the 61.8% retracement in an uptrend, for instance, provides a stronger signal than the Fibonacci level alone. Always consider the broader market context, including trend direction, volume, and higher-timeframe structure, before making trading decisions based on Fibonacci levels.