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What is Fibonacci?

We will be using Fibonacci ratios a lot in our trading so it is better for you and your trading if learned.

Fibonacci is a huge subject and there are many different studies of Fibonacci with weird names but we’re going to stick to two: retracement and extension.

Let me introduce you to the Fibo man himself…Leonard Fibonacci.

Leonard Fibonacci was a famous Italian mathematician, also called a super duper uber geek, who discovered a simple series of numbers that created ratios describing the natural proportions of things in the universe.

The ratios arise from the following number series: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ……

This series of numbers is derived by starting with 1 followed by 2 and then adding 1 + 2 to get 3, the third number. Then, adding 2 + 3 to get 5, the fourth number, and so on.

After the first few numbers in the sequence, if you measure the ratio of any number to that of the next higher number you get .618. For example, 34 divided by 55 equals 0.618.

If you measure the ratio between alternate numbers you get .382. For example, 34 divided by 89 = 0.382 and that’s as far as into the explanation as we’ll go.

These ratios are called the “golden mean.” These are the ratios you have to know:

Fibonacci Retracement Levels

0.236, 0.382, 0.500, 0.618, 0.764

Fibonacci Extension Levels

0, 0.382, 0.618, 1.000, 1.382, 1.618

You won’t really need to know how to calculate all of this. Your charting software will do it for you. But it’s always good to be familiar with the basic theory behind the indicator so you’ll have knowledge to impress your date.

Traders use the Fibonacci retracement levels as support and resistance levels. Since so many traders watch these same levels and place buy and sell orders on them to enter trades or place stops, the support and resistance levels become a self-fulfilling expectation.

Traders use the Fibonacci extension levels as profit taking levels. Again, since so many traders are watching these levels and placing buy and sell orders to take profits, this tool usually works due self-fulfilling expectations.

Most charting software includes both Fibonacci retracement levels and extension level tools. In order to apply Fibonacci levels to your charts, you’ll need to identify Swing High and Swing Low points.

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

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

Let's take a closer look at Fibonacci retracement levels...

Fibonacci Retracement

In an uptrend, the general idea is to go long the market on a retracement to a Fibonacci support level.

In order to find the retracement levels, you would click on a significant Swing Low and drag the cursor to the most recent Swing High. This will display each of the Retracement Levels showing both the ratio and corresponding price level. Let’s take a look at some examples of markets in an uptrend.

How to draw Fibonacci retracement levels on a chart

Below is an hourly chart of USD/JPY. Here we plotted the Fibonacci Retracement Levels by clicking on the Swing Low at 110.78 on 07/12/05 and dragging the cursor to the Swing High at 112.27 on 07/13/05. You can see the levels plotted by the software. The Retracement Levels were 111.92 (0.236), 111.70 (0.382), 111.52 (0.500), and 111.35 (0.618). Now the expectation is that if USD/JPY retraces from this high, it will find support at one of the Fibonacci Levels because traders will be placing buy orders at these levels as the market pulls back.

Now let’s look at what actually happened after the Swing High occurred. The market pulled back right through the 0.236 level and continued the next day piercing the 0.382 level but never actually closing below it.  Later on that day, the market resumed its upward move. Clearly buying at the 0.382 level would have been a good short term trade.

Now let’s see how we would use Fibonacci Retracement Levels during a downtrend. Below is an hourly chart for EUR/USD. As you can see, we found our Swing High at 1.3278 on 02/28/05 and our Swing Low at 1.3169 a couple hours later. The Retracement Levels were 1.3236 (0.618), 1.3224 (0.500), 1.3211 (0.382), and 1.3195 (.236). The expectation for a downtrend is if it retraces from this high, it will encounter resistance at one of the Fibonacci Levels because traders will be placing sell orders at these levels as the market attempts to rally.

Let’s check out what happened next. The market did try to rally but it barely past the 0.500 level spiking to a high 1.3227 and it actually closed below it. After that bar, you can see that the rally reversed and the downward move continued. You would have made some nice money selling at the 0.382 level.

Here’s another example. This is an hourly chart for GBP/USD. We had a Swing High of 1.7438 on 07/26/05 and a Swing Low of 1.7336 the next day. So our Retracement Levels are: 1.7399 (0.618), 1.7387 (0.500), 1.7375 (0.382), and 1.7360 (0.236). Looking at the chart, the market looks like it tried to break the 0.500 level on several occasions, but try as it may, it failed. So would putting a sell order at the 0.500 level be a good trade?

If you did, you would have lost some money seriously! Take a look at what happened. The Swing Low looked to be the bottom for this downtrend as the market rallied above the Swing High point.

You can see from these examples the market usually finds at least temporary support (during an uptrend) or resistance (during a downtrend) at the Fibonacci Retracements Levels. It’s apparent that there a few problems to deal with here. There’s no way of knowing which level will provide support.

The 0.236 seems to provide the weakest support/resistance, while the other levels provide support/resistance at about the same frequency. Even though the charts above show the market usually only retracing to the 0.382 level, it doesn’t mean the price will hit that level every time and reverse. Sometimes it’ll hit the 0.500 and reverse, other times it’ll hit the 0.618 and reverse, and other times the price will totally ignore Fibonacci and blow past all the levels.  Remember, the market will not always resume its uptrend after finding temporary support, but instead continue to decline below the last Swing Low. Same thing for a downtrend. The market may instead decide to continue above the last Swing High.

The placement of stops is a challenge. It’s probably best to place stops below the last Swing Low (on an uptrend) or above the Swing High (on a downtrend), but this requires taking a high level of risk in proportion to the likely profit potential in the trade. This is called reward-to-risk ratio. In a later lesson, you will learn more money management and risk control and how you would only take trades with certain reward-to-risk ratios.

Another problem is determining which Swing Low and Swing High points to start from to create the Fibonacci Retracement Levels. People look at charts differently and so will have their own version of where the Swing High and Swing Low points should be. The point is, there is no one right away to do it, but the bad thing is sometimes it becomes a guessing game.