This is the next part of a series of articles about Technical
Analysis from a new course we're developing. If you are new to
charting, these articles will give you the "big picture" behind the
charts on our site. if you are an "old hand", these articles will help
ensure you haven't "strayed too far" from the basics. Enjoy!
(Click here to see the entire series.)
Fibonacci Lines
How high is "too high?" How low is "too low?" Think back to any time
that you've owned a stock and think about when you started to get
worried about it's performance. At what point did "your gut" start to
tell you that you needed to sell? Chances are your gut started talking
to you after the stock had moved up (or down) by 38.2%.
Wow, that's a really specific number - "38.2." It seems kind of
arbitrary also. There's no way that could be correct, right? I mean,
without knowing anything about the stock you were trading, or the
amount of money involved, or the overall market conditions, or anything
else - how can we stand here and tell you that you got nervous right at
38.2%?
The reason is because 38.2 appears to be programmed into the human
psyche (as well as many other parts of nature). 38.2 is one of a set of
numbers called "Fibonacci Percentages." They are derived from the
"Fibonacci Sequence" which is a list of numbers where each number
equals the sum of the previous two. i.e.,
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 etc.
The branching in trees, arrangement of leaves on a stem, the
flowering of artichoke, an uncurling fern and the arrangement of a pine
cone - all these things exhibit Fibonacci characteristics . In
addition, if you take any large Fibonacci number and divide it by the
previous number, you'll get something very close to 1.6180339887 (the
larger the number, the closer you'll get). Now, 1.6180... has been
known for centuries as "The Golden Ratio" - mostly because we humans
tend to prefer things - art, sculptor, architecture, etc. - that have
proportions that equal the Golden Ratio.

Which of these picture looks the most "natural" to you? The middle one has Golden Ratio proportions.
Getting back to stock charting, R.N. Elliott made the first
well-known connection between price movements and the Golden Ratio. He
noted that many reversals occurred around 61.8% or its compliment 38.2%
(i.e., 100 - 61.8). Combined with 50% and 100%, they make up the
standard set of Fibonacci Percentages.
Regardless of how the numbers were arrived at, chart analysts have
observed that prices often will reverse after moving up (or down) by
one of those percentages. Basically, those percentages are where
something tells many people that it is time to take action - and thus
prices reverse. Strange but true. Check it out:

The Fibonacci Lines on this chart were created based on the move
from Feb. 9th to May 30th - so just focus on the shaded blue area of
the chart. Like a weatherman, the lines "forecast" that support for IBM
would occur around 118.35 essentially because lots of people would
probably feel that IBM had "fallen enough" and would start buying it
again. That is precisely what happened at the end of June (red arrows).
Unfortunately many people have gone on to claim that Fibonacci lines
(and their variants) have almost "magical powers" to predict price
movements. Like most Technical Analysis tools, we think Fibonacci Lines
are useful forecasting tools - but not magical.
You can add Fibonacci Lines to your charts using our ChartNotes
annotation tool. To get started, simply click on the "Annotation" link
below any SharpCharts.
Power Tip: If you hold down "CTRL" while drawing Fibonacci lines, we'll add the 23.6% and 161.8% lines as well.
Next time: Gaps!