INTRODUCTION

Despite being technical analysis indicators, the powerful Fibonacci tools are widely used even by fundamental analysis traders. Unlike the common lagging indicators, they can predict future price levels . I leave the debate of whether this is a self-fulfilling prophecy or a bias toward a law in nature to others. Those tools will be explained in this article one by one.
FIBONACCI & THE FIBONACCI NUMBER SEQUENCE
Fibonacci was a thirteenth-century talented mathematician who described the numerical series now named after him. In the Fibonacci sequence of numbers, after 0 and 1, each number is the sum of the two prior numbers. Hence, the sequence is as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 and so on extending to infinity. Each number is approximately 1.618 times greater than the preceding number.
THE GOLDEN RATIO
This figure 1.618 is called Phi or the Golden Ratio. The inverse of 1.618 is 0.618. The golden ratio appears everywhere in Nature from the micro scale to the macro scale. Things that are based on this divine proportion are beautiful and shapely and things that do not contain it look ugly and seem suspicious and unnatural.
FIBO
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