**First developed by mathematician Leonardo da Pisa in the early 1200s, the Fibonacci sequence is a famous, widely-applied numeric device.** It is primarily expressed by the “golden ratio,” which is a staple of modern geometry, algebra, and physics.

As it pertains to the financial markets, the golden ratio is applied via many forms of the Fibonacci indicator. One of the most famous is the Fibonacci retracement tool.

Well, there’s no time like the present! Get out your forex price chart and let’s talk Fibonacci retracements, shall we?

From a mathematical standpoint, ** Fibonacci numbers are integers that are the sum of their preceding two numbers in the Fibonacci sequence.** The progression is as follows: 0,1,1,2,3,5,8,13, 21, 34, 55, 89, 144, 233, and so on. If you divide any two Fibonacci numbers (after 3), you get a value that approaches the

The golden ratio is the basis for the application of the Fibonacci sequence within forex trading. In fact, every forex Fibonacci trading strategy is related to the golden ratio in one form or another. Now, let’s talk about the most popular: **Fibonacci retracement tools**.

**Within the realm of forex trading, Fibonacci levels (aka “tools”) come in several shapes and sizes.** Among the most popular Fibonacci tools are expansions, spirals, and retracements. While the others certainly have positive attributes, many a forex trading strategy is based on the most famous Fibonacci tool: the Fibonacci retracement level.

Fibonacci retracement levels are considered a predictive technical indicator that works on basic price action theory. The assertion maintains that after price begins a new trend direction, it often returns – or retraces – proportionally before resuming in the original direction. By applying Fibonacci ratios to a directional move in price, one is able to contextualize market behavior in three ways:

- The market is
*trending* - The market is
*reversing* - The market is
*consolidating*

How do active forex traders apply Fibonacci retracement levels in real-time? By scrutinizing price with respect to these key Fibonacci retracement levels:

- 38%
- 50%
- 62%
- 78%

By taking into account Fibonacci levels, it’s possible to discern the market’s state. This is done by applying the important Fibonacci ratios from a market’s periodic trough to peak (or peak to trough). The shorter distance that price pulls back, the stronger the trend; the deeper the pullback, the weaker the trend.

Also, forex traders use Fibonacci retracements as potential support and resistance areas that they believe are applicable to a trending market. Once one of these areas is identified on a price chart, the trader may act accordingly:

- Go long (buy) on a retracement at a Fibonacci support level when the market is in an UPTREND.
- Go short (sell) on a retracement at a Fibonacci resistance level when the market is in a DOWNTREND.

In practice, the numbers and formulas that feed into your retracement levels may allow you to predict future price points. This is extremely useful information for any forex trading strategy. Fibonacci retracement levels rule!

In order to find and apply Fibonacci levels to the chart, you’ll need to identify Swing High and Swing Low points. Don’t worry- the process isn’t too involved. All you need is a previous price level relative to a periodic high and low:

- A
is a candlestick with at least*Swing High**two lower highs*on both the left and right of itself. - A
is a candlestick with at least*Swing Low**two higher lows*on both the left and right of itself.

Pretty easy, right? Well, applying the Fibonacci retracement to your price chart isn’t much harder. Here are the basics:

- For downtrends, click on the Swing High and drag the cursor to the most recent Swing Low.
- For uptrends, click on the Swing Low and drag the cursor to the most recent Swing High.

As a result, the Fibonacci tool gives us a clear look at potential support or resistance levels. It appears something like this.

Let’s explore how to use these Fibonacci levels below.

Let’s use this daily AUD/USD chart as our example of using Fibonacci Retracement Levels in an uptrend.

You can see that we plotted the Fibonacci levels on the Swing Low at 0.6955 on 20th April and dragged the cursor to the Swing High at 0.8264 on the 3rd of June. Once we did that, the charting software (MT4) showed us the retracement levels based on our Fibonacci ratios.

As you can see, the retracement levels were 0.7955 (23.6%), 0.7764 (38.2%), 0.7609 (50.0%), 0.7454 (61.8%), and 0.7263 (76.4%). It’s important to remember that many forex strategies don’t respect 23.6% as a true Fibonacci level. Also, it’s commonplace to see 62% and 78% in place of 61.8% and 76.4%.

Now, we were expecting the AUD/USD to retrace from the recent high and find support at one of the Fibonacci retracement levels because traders would be placing buy orders at these levels as the price pulls back.

Let’s have a look at what happened next.

The price pulled back right through the 0.7955 Fibonacci level and continued to shoot down over the next couple of weeks. It even tested 0.7764, but it was unable to close below it. Then sometime around the 14th of July, the market resumed its upward move and eventually broke through the Swing High.

So, if you were to buy at the 0.7764 (38.2%) Fibonacci level, it would quite clearly have made a profitable long-term trade. This is how the Fibonacci sequence is used to identify potential support and resistance levels from previous price action.

Let’s use this daily EUR/USD chart as our example of using Fibonacci retracement levels in a downtrend. It’s a lot like the uptrend retracement level analysis, only inverted.

You can see that we plotted the Fibonacci retracement levels on the Swing High at 1.4195 on 25th January and dragged the cursor to the Swing Low at 1.3854 on the 1st of February. Once we did that, the charting software (MT4) showed us the retracement levels.

As you can see, the Fibonacci retracement levels were 1.3933 (23.6%), 1.3983 (38.2%), 1.4023 (50.0%), 1.4064 (61.8%) and 1.4114 (76.4%). Of course, different traders will debate on the precise location of Fibonacci retracements.

Now, we were expecting the EUR/USD to retrace from the recent low and potentially encounter resistance at one of the Fibonacci retracement levels because traders who want to play the downtrend at better prices may be ready with sell orders there.

Were we right? Let’s have a look at what happened next.

Isn’t that beautiful? The market did try to rally, stalled below the 1.3983 (38.2%) level for a bit before testing the 1.4023 (50.0%) level. If you had placed orders at the 38.2% or 50.0% Fibonacci retracement levels, you would have made some mad pips mate!

In our two examples above, we were lucky enough to find some temporary support and resistance at Fibonacci retracement levels. However, it is important to remember that while Fibonacci retracement levels give you a higher probability of success, price won’t ALWAYS bounce from these levels, and they should be looked at only as areas of interest. Not definite indicators.

In the next lesson, we will show you why it is important to hone your skills and combine the Fibonacci retracement with other tools, such as support and resistance levels and candlesticks, to give you a higher probability of success.