Leonardo of Pisa, aka the mathematician "Fibonacci", published his Fibonacci sequence in 1202. Fibonacci came upon his now very famous sequence of numbers when he was trying to breed rabbits and figure out how many pairs of rabbits he would have at the end of one year based upon their breeding behavior. This is just the kind of no-nonsense approach that Forex traders are into.

Mistakenly many individuals consider mathematical abstraction as frivolous; however it is rooted into real world mathematical applications. The Fibonacci sequence is useful for making us aware of and then explaining those hidden patterns around us daily.

It works really well while investing. Why? Well, based on the mass behavior of investors there are various hidden patterns in the stock market. Perceptive investors know this. Investment aphorisms such as "The best time to buy is when there's blood in the streets" and "Buy low and sell high" work well. However, they also relate to understanding the investment markets hidden patterns.

These patterns cannot be seen by a day to day observation of market conditions, but reveal themselves when you step back and take a look at the big picture. Short term fluctuations in the market are nearly impossible to accurately forecast. However, the trends which occur over time most certainly are predictable. Investors of all stripes, including Forex traders have used the Fibonacci sequence to plan their investments and make large profits in the currency exchange markets.

Using the Fibonacci sequence involves a series of numbers. Each following number is the sum of the two numbers before it. It progresses like this 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and into infinity. There are numeral interrelationships within these numerals. For example, take any number; it is roughly 1.618 times the number before it. Anciently the Greeks found number 1.618 reprehensive of the golden ratio which is the supreme essence of balance. This balance is the fundamental strategy of profitable investing

The most common applications of the Fibonacci sequence for investment purposes are retracements and arcs.

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).

Now, a retracement, in investing, refers to a reversal in the movement of a stock's price–a reversal which is enough to counter the stock's prevailing trend. Advanced successful investors pay intense attention to retracement possibilities and patterns. The Fibonacci retracement analyzes the likelihood that a financial asset's price will see a larger than average retracement and then come to support or resistance at the key Fibonacci levels before it then continues on in its original direction. A trendline is drawn between two extreme points; then, its vertical distance is divided by the key Fibonacci ratios of 23.6%, 38.2%, 50%, 61.8%, and 100%.

Traders use Fibonacci retracements to determine strategic points for placing their transactions, target prices and stop-loss points. There are other tools which use retracement techniques, chief among them Elliott Wave Theory, Gartley patterns and Tirone levels.

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