Fibonacci
34INTRODUCTION TO TECHNICAL ANALYSIS WWW.INvESTING.COM
Fibonacci
Leonard Fibonacci, the famous italian Mathematician,discovered a series of
numbers that looked rather simple yet created ratios that were found throughout
nature. From the arc of a sea shell, branches on a tree, or even the formation of
solar systems; all of these encompass what Fibonacci found in his insights, and
what many also use in chart analysis today. Fibonacci trading analysis is a vast
subject but for the purposes of this introduction we will only be focusing on the
most commonly used methods.
Let’s begin by looking at the Fibonacci Series shown below:
1, 1,2, 3, 5, 8, 13, 21,34, 55, 89, 144 ...
You will notice that each number is derived by the preceding 2 numbers. For instance
(1+1 = 2), (1+2 =3), (2+3= 5), even (55+89=144), and so on forever.
Once you have these numbers, you are able to compute further findings and open up his,
now famous, ratio’s such as: .382 and .618 by dividing one number and its preceding
number (89/144 = .618) or (55/89=.618), and so on.
You can also compute the proportion between alternate figures and what you get of this
is .382. Take for example,
Example: 8 divided by 21 = 0.3809 which is close to 0.382 which they all
converge to as you try larger numbers.
These proportions are also known as the “golden mean”, and here is a list of the most
common ratio’s to recognize:
Most Common Fibonacci Retracement Levels:
.236, .382, .500, .618, .786
Most Common Fibonacci Extension Levels:
1.382, 1.618