






Overview
Use in Trading
ABC's
Confluence
Trading Strategies
Links (Elliot Wave Tutorials)
Overview
Fibonacci numbers are the result of work by Leonardo Fibonacci in the early
1200's while studying the Great Pyramid of Gizeh. The fibonacci series is a
numerical sequence comprised of adding the previous numbers together, i.e.,
(1,2,3,5,8,13,21,34,55,89,144,233 etc..)
An interesting property of these numbers is that as the series proceeds, any
given number is 1.618 times the preceding number and 0.618% of the next number.
(34/55 = 55/89 = 144/233 =0.618) (55/34 =89/55 =233/144 =1.618), and 1.618
=1/0.618.
This properties of the fibonacci series occur throughout nature, science and
math and is the number 0.618 is often referred to as the "golden
ratio" as it is the root of the following polynomial x^2+x-1=0 which can be
rearranged to x= 1/(1+x).
So that's were the fib # 0.618 comes from. The other fibs 0.382 and 0.5 commonly
used in technical analysis have a less impressive background but are just as
powerful in Technical analysis.
0.382=(1-.618)=(0.618*0.618)
and 0.5 is the mean of the two numbers.
Other neat fib facts (0.618*(1+0.618)=1 and (0.382*(1+.618))=0.618.
Use of Fibonacci #'s in Technical Analysis
Fibonacci numbers are commonly used in Technical Analysis with or without a
knowledge of Elliot wave analysis to determine potential
support, resistance, and price objectives. 38.2% retracements usually imply that
the prior trend will continue, 61.8% retracements imply a new trend is
establishing itself. A 50% retracement implies indecision. 38.2% retracements
are considered nautral retracements in a healthy trend.
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