Advanced Fibonacci Applications

There is more to the world of Fibonacci than the more familiar retracements, arcs, fans, and time zones. Every year, new methods are developed for traders to take advantage of the uncanny tendencies of the market toward derivatives of the golden ratio.

Here we will discuss some of the more popular alternative uses of Fibonacci, including extensions, clusters, and Gartley's, and we'll take a look at how to use them in conjunction with other patterns and indicators.

Key Takeaways

  • Fibonacci analysis is a set of technical trading strategies based on the Fibonacci numbers or the "golden ratio."
  • The Fibonacci series begins with zero and one, where the previous two numbers are added together: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144, 233, 377, and so on.
  • Retracements, arcs, and fans are more basic Fibonacci techniques, while extensions, channels, and clusters are a bit more advanced.

Fibonacci Extensions

Fibonacci extensions are simply ratio-derived extensions beyond the standard 100% Fibonacci retracement level. They are extremely popular as forecasting tools, and they are often used in conjunction with other chart patterns.

The chart below shows what a Fibonacci extension forecast looks like.


Investopedia / Sabrina Jiang

The above is an example of how the Fibonacci extension levels of 161.8% and 261.8% act as future areas of support and resistance.

Here we can see that the original points (0-100%) were used to forecast extensions at 161.8% and 261.8%, which served as support and resistance levels in the future. Many traders use this in conjunction with wave-based studies—such as the Elliott Wave or Wolfe Wave—to forecast the height of each wave and more clearly define the different waves.

Fibonacci extensions are also commonly used with other chart patterns such as the ascending triangle. Once the pattern is found, a forecast can be created by adding 61.8% of the distance between the upper resistance and the base of the triangle to the entry price. As you can see in Figure 2 below, these levels are generally deemed to be strategic places for traders to consider taking profits.


Investopedia / Sabrina Jiang

Many traders use the 161.8% Fibonacci extension level as a price target for when security breaks out of an identified chart pattern.

Fibonacci Clusters

The Fibonacci cluster is a culmination of Fibonacci retracements from various significant highs and lows during a given time period. Each of these Fibonacci levels is then plotted on the y-axis (price). Each overlapping price level makes a darker imprint on the cluster, enabling you to see where the most significant Fibonacci support and resistance levels lie.


Investopedia / Sabrina Jiang

An example of Fibonacci clusters is shown on the right side of the chart above. Dark stripes are considered to be more influential levels of support and resistance than light ones. Notice the strong resistance just above the $20 level.

Most traders use clusters as a way to gauge support and resistance levels. One popular technique is to combine a "volume by price" graph on the left side, with a cluster on the right side. This allows you to see which specific Fibonacci areas represent intense support or resistance—high-volume, dense areas are key support and resistance levels.

This technique can be used in conjunction with other Fibonacci techniques or chart patterns to confirm support and resistance levels.

The Gartley Pattern

The Gartley pattern is a lesser-known pattern combining the "M" and "W" tops and bottoms with various Fibonacci levels. The result is a reliable indicator of future price movements. Figure 4 shows what the Gartley formation looks like.


Investopedia / Julie Bang

Gartley patterns are formed using several rules regarding the distances between points:

  • X to D: Must be 78.6% of the segment range XA
  • X to B: Must be near 61.8% of the XA segment
  • B to D: Must be between 127% and 161.8% of the range BC
  • A to C: Must be 38.2% of segment XA or 88.6% of segment AB

How can you measure these distances? Well, one way is to use Fibonacci retracements and extensions to estimate the points. You can also download a free Excel-based spreadsheet from to calculate the numbers. Many traders also use custom software, which often includes tools developed specifically to identify and trade the Gartley pattern.

Fibonacci Channels

The Fibonacci pattern can be applied to channels not only vertically, but also diagonally, as seen in Figure 5.

Source: MetaTrader.

As shown above, Fibonacci retracement when used in combination with Fibonacci channels can give a trader extra confirmation that a certain price level will act as support or resistance.

Again, the same principles and rules that apply to vertical retracements apply to these channels. One common technique employed by traders is the combination of diagonal and vertical Fibonacci studies to find areas where both indicate significant resistance. This can indicate a continuation of the prevailing trend.

The Bottom Line

Fibonacci patterns are best used in conjunction with other patterns and indicators. Often, they give a precise point to a more general move. A Fibonacci extension will give you a specific price target, but it is useless if you don't know that a breakout is likely to occur. It takes the triangle pattern, volume confirmations, and an overall trend assessment to validate the Fibonacci price target.

By combining indicators and chart patterns with the many Fibonacci tools available, you can increase the probability of a successful trade. Remember, there is no one indicator that predicts everything perfectly. However, when many indicators are pointing in the same direction, you can get a pretty good idea of where the price is going.

Article Sources
Investopedia requires writers to use primary sources to support their work. These include white papers, government data, original reporting, and interviews with industry experts. We also reference original research from other reputable publishers where appropriate. You can learn more about the standards we follow in producing accurate, unbiased content in our editorial policy.
  1. Journal of Knowledge Management, Economics, and Information Technology. "How to Use Fibonacci Retracement to Predict Forex Market," Page 5.

  2. Google Books. "Timing Solutions for Swing Traders," Page 15.

  3. Elliott Wave Forecast. "Fibonacci Retracement, Extension & Trading Strategies."

  4. The Lazy Trader. "Understanding End of Day Trading Fibonacci Clusters."

  5. Larry Pesavento and Steven Shapiro. "Fibonacci Ratios With Pattern Recognition." Traders Press, 1997.

  6. H. M. Gartley. "Profits in the Stock Market." Health Research Books, 1935.

  7. Shares Magazine. "How to understand charts: W waves."

Take the Next Step to Invest
The offers that appear in this table are from partnerships from which Investopedia receives compensation. This compensation may impact how and where listings appear. Investopedia does not include all offers available in the marketplace.