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The Ultimate Technical Analysis Handbook - Tradingportalen.com

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Chapter 4 — Origins and Applications of the Fibonacci Sequence<br />

From Fibonacci to Elliott<br />

You can tell that a trendy word<br />

or phrase has reached “buzzword”<br />

status when it is more<br />

often used to impress than to<br />

explain. A few years ago, the<br />

buzzword I heard most often<br />

was “win-win,” a concept<br />

popularized by Stephen Covey.<br />

<strong>Technical</strong> analysts, in recent<br />

years, have unfortunately elevated<br />

“Fibonacci” to the same<br />

level. A better understanding<br />

of Fibonacci may not save the<br />

term from buzzword status, but<br />

it will provide some insight to<br />

its popularity.<br />

Figure 26<br />

Leonardo Fibonacci da Pisa<br />

was a thirteenth-century mathematician<br />

who posed a question:<br />

How many pairs of rabbits<br />

placed in an enclosed area can<br />

be produced in a single year<br />

from one pair of rabbits, if each<br />

gives birth to a new pair each<br />

month starting with the second<br />

month? <strong>The</strong> answer: 144.<br />

<strong>The</strong> genius of this simple little<br />

question is not found in the<br />

answer, but in the pattern of<br />

Figure 27<br />

numbers that leads to the answer:<br />

1, 1, 2, 3, 5, 8, 13, 21, 34,<br />

55, 89, and 144. This sequence of numbers represents the propagation of rabbits during the 12-month period<br />

and is referred to as the Fibonacci sequence.<br />

<strong>The</strong> ratio between consecutive numbers in this set approaches the popular .618 and 1.618, the Fibonacci ratio<br />

and its inverse. (Relating non-consecutive numbers in the set yields other popular ratios - .146, .236, .382,<br />

.618, 1.000, 1.618, 2.618, 4.236, 6.854....)<br />

Since Leonardo Fibonacci first contemplated the mating habits of our furry little friends, the relevance of this<br />

ratio has been proven time and time again. From the DNA strand to the galaxy we live in, the Fibonacci ratio<br />

is present, defining the natural progression of growth and decay. One simple example is the human hand,<br />

<strong>com</strong>prised of five fingers with each finger consisting of three bones.<br />

<strong>The</strong> <strong>Ultimate</strong> <strong>Technical</strong> <strong>Analysis</strong> <strong>Handbook</strong> — © 2009 Elliott Wave International<br />

This ebook includes handpicked lessons from more than 200 pages of EWI’s <strong>com</strong>prehensive<br />

Trader’s Classroom Collection of eBooks. Learn more here: http://www.elliottwave.<strong>com</strong>/wave/ClubTCC<br />

19

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