We will be using Fibonacci ratios a lot in our trading so you
better learn it and love it like your mother. 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 first start by introducing you to the Fib man himself…Leonard
Fibonacci.
Leonardo Fibonacci was a famous Italian mathematician, also called a
super duper uber geek, who had an “aha!” moment and 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.” Okay that’s enough mumbo
jumbo. Even I’m about to fall asleep with all these numbers. I'll just
cut to the chase; these are the ratios you have to know:
You won’t really need to know how to calculate all of this. Your
charting software will do all the work 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 Levels
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.
This 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. This 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. Now isn’t that a thing of beauty!
The market did try to rally but it barely past the 0.382 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 dough 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 serious cheddar! 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 other times the price will totally ignore Mr. Fibonacci and blow
past all the levels like similar to the way Allen Iverson blows past his
defenders with his nasty first step. 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 decided 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.
Fibonacci Price Extension Levels
The next use of Fibonacci you will be applying is that of targets.
Let’s start with an example in an uptrend.
In an uptrend, the general idea is to take profits on a long trade at
a Fibonacci Price Extension Level. You determine the Fibonacci extension
levels by using three mouse clicks. First, click on a significant Swing
Low, then drag your cursor and click on the most recent Swing High.
Finally, drag your cursor back down and click on the retracement Swing
Low. This will display each of the Price Extension Levels showing both
the ratio and corresponding price levels.
On this 1-hour USD/CHF chart, we plotted the Fibonacci extension
levels by clicking on the Swing Low at 1.2447 on 08/14/05 and dragged
the cursor to the Swing High at 1.2593 on 08/15/15 and then down to the
retracement Swing Low of 1.2541 on 08/15/05. The following Fibonacci
extension levels created are 1.2597 (0.382), 1.2631 (0.618), 1.2687
(1.000), 1.2743 (1.382), 1.2760 (1.500), and 1.2777 (1.618).
Now let’s look at what actually happened after the retracement Swing
Low occurred.
- The market rallied to the 0.500 level
- fell back to the retracement Swing Low
- then rallied back up to the 0.500 level
- fell back slightly
- rallied to the 0.618 level
- fell back to the 0.382 level which acted as support
- then rallied all the way to the 1.382 level
- consolidated a bit
- then rallied to the 1.500 level

You can see from these examples that the market often finds at least
temporary resistance at the Fibonacci extension levels - not always, but
often. As in the examples of the retracement levels, it should be
apparent that there are a few problems to deal with here as well. First,
there is no way of knowing which level will provide resistance. The
0.500 level was a good level to cover any long trades in the above
example since the market retraced back to its original level, but if you
didn’t get back in the trade, you would have left a lot of profits on
the table.
Another problem is determining which Swing Low to start from in
creating the Fibonacci Extension Levels. One way is from the last Swing
Low as we did in the examples; another is from the lowest Swing Low of
the past 30 bars. Again, the point is that there is no one right way to
do it, and consequently it becomes a guessing game.
Alright, let’s see how Fibonacci extension levels can be used during
a downtrend. In a downtrend, the general idea is to take profits on a
short trade at a Fibonacci price extension level since the market often
finds at least temporary support at these levels.
On this 1-hour EUR/USD chart, we plotted the Fibonacci extension
levels by clicking on the Swing High at 1.21377 on 07/15/05 and dragged
the cursor to the Swing Low at 1.2021 on 08/15/15 and then down to the
retracement High of 1.2085. The following Fibonacci extension levels
created are 1.2041 (0.382), 1.2027 (0.500), 1.2013 (0.618), 1.1969
(1.000), 1.1925 (1.382), 1.1911 (1.500), and 1.1897 (1.618).

Now let’s look at what actually happened after the retracement Swing
Low occurred.
- The market fell down almost to the 0.382 level which for right
now is acting as a support level
- The market then traded sideways between the retracement Swing
High level and 0.382 level
- Finally, the market broke through the 0.382 and rested on the
0.500 level
- Then it broke the 0.500 level and fell all the way down to the
1.000 level

Alone, Fibonacci levels will not make you rich. However, Fibonacci
levels are definitely useful as part of an effective trading method that
includes other analysis and techniques. You see, the key to an effective
trading system is to integrate a few indicators (not too many) that are
applied in a way that is not obvious to most observers.
All successful traders know it’s how you use and integrate the
indicators (including Fibonacci) that makes the difference. The lesson
learned here is that Fibonacci Levels can be a useful tool, but never
enter or exit a trade based on Fibonacci Levels alone.
Summary:
- Fibonacce retracement levels are 0.236, 0.382, 0.500, 0.618,
0.764
- Fibonacci retracement levels are used as support and
resistance levels.
- Fibonacci extension levels are 0, 0.382, 0.618, 1.000,
1.382, 1.618
- Fibonacci extension levels are used as profit taking levels.