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The mathematician Fibonacci or Leonardo of Pisa in 1202 first published his Fibonacci sequence. In order to calculate the number of pairs of rabbits he would have at the end of a year based on their behavior of breeding, Fibonacci developed this famous sequence of numbers. Forex traders find this type of no-nonsense approach very profitable.

While many think of the Fibonacci sequence as a mathematical abstraction, it is grounded in a real world application. The Fibonacci sequence can be used to predict patterns which would not otherwise be apparent.

How can this be applied to investing? Very astute investors understand that there are hidden patterns in the stock market–based on the mass of investors’ behavior. “Buy low and sell high” and “The best time to buy is when there’s blood in the streets” are but two investment aphorisms that not only work, but also come from understanding hidden patterns of the investment markets.

The reason that investment market patterns are so well hidden is because “up close” they cannot be seen. Day to day, hour to hour fluctuations in the investment markets cannot be predicted with any accuracy. But certain overall trends that extend over longer periods of time definitely can be. And savvy investors, including Forex traders, have successfully been using Fibonacci’s number sequence to take advantage and make big profits.

The Fibonacci sequence is a string of numbers with each number being the sum of the two numbers which preceded it. For example, one such string would be 1,1,2,3,5,8,13,21 and so on. These numbers are related in several ways. Any given number in a Fibonacci sequence is about 1.618 of its predecessor - the “golden ratio” of the Greek mathematicians.

Of all the Fibonacci series the two applications in wide spread use by Forex traders and investors are arcs and retracements.

A Fibonacci chart is made of three curved lines which represent support levels, key resistance and ranging. A trendline is first drawn between two points (generally the high and low points over a given period of time). Three curved lines are then drawn which intersect the trendline at the 38.2%, 50% and 61.8% points. Decisions about buying and selling are made at these points (i.e. - when the price of the commodity in question reaches these points).

In the world of investment, retracement relates to the reversal in movements of the price of a stock. An impressive reversal can counter the prevailing trend in the stock. Successful progressive investors focus strongly on the retracement patterns and possibilities. The Fibonacci method of retracement evaluates the prospects of the price of a financial asset being more superior than is average as well as supporting or resisting at key Fibonacci levels before continuing on its original course. Between the two extreme points a trendline is drawn and then its vertical distance by the ratios of 23.6, 38.2, 50, 61.8, and 100 percent, according to Fibonacci.

Multitudes of high-level traders gain with the Fibonacci retracement method. It aids them in finding the most strategic placement of transactions, their target prices and stop-losses. Gartley patterns, Tirone levels and the Elliott Wave theory are other technical tools that make use of retracement.

The Fibonacci formula simply works and is useful while investing. Forex traders worldwide are finding it successful while using it.