# Fibonacci Trading

An attempt to solve a sum about the propagation ability of rabbits gave birth to the system of numbers that Fibonacci is known for today. To install arcs on your chart you measure the bottom and the top of the trend with the arcs tool. This happens in the red circle on the chart and we exit our long position. The combination of these two things almost guarantees volatility also will hit lower levels.

## The Golden Ratio

Leonardo Pisano, nicknamed Fibonacci, was an Italian mathematician born in Pisa in the year His father Guglielmo Bonaccio worked at a trading post in Bugia, now called Béjaïa, a Mediterranean port in northeastern Algeria.

The young Leonardo studied mathematics in Bugia, and during extensive travels, he learned about the advantages of the Hindu-Arabic numeral system. In doing so, he popularized the use of Hindu-Arabic numerals in Europe. In the "Liber Abaci," Fibonacci 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: Each number is approximately 1. This figure — 1. The inverse of 1. The Golden Ratio mysteriously appears frequently in the natural world, architecture, fine art and biology. For example, the ratio has been observed in the Parthenon, Leonardo da Vinci's Mona Lisa, sunflowers, rose petals, mollusk shells, tree branches, human faces, ancient Greek vases and even the spiral galaxies of outer space. Fibonacci and the Golden Ratio. The levels used in Fibonacci retracements in the context of trading are not numbers in the sequence; rather they are derived from mathematical relationships between numbers in the sequence.

Trading With the Golden Ratio. These horizontal lines are used to identify possible price reversal points. Fibonacci retracements are often used as part of a trend-trading strategy. In this scenario, traders observe a retracement taking place within a trend and try to make low-risk entries in the direction of the initial trend using Fibonacci levels.

Simply put, traders using this strategy anticipate that a price has a high probability of bouncing from the Fibonacci levels back in the direction of the initial trend. It is this marriage of concepts that continues to be used by traders to help them cash in on their investments.

The Enigmatic Legacy Let us first look more closely at what the Fibonacci numbers are. The Fibonacci sequence is as follows:. This sequence moves toward a certain constant, irrational ratio. In other words, it represents a number with an endless, unpredictable sequence of decimal numbers, which cannot be expressed precisely. For the sake of brevity, let's quote it as 1.

At present, the sequence is often referred to as the golden section, or golden average. The asymptotic behavior of the sequence and the fading fluctuations of its ratio around the irrational Phi number can be better understood if the relations between several first members of the sequence are shown. The following example illustrates the relationship of the second member toward the first one, the relationship of the third member toward the second one, and so on: As the Fibonacci sequence moves on, each new member will divide the next one, coming closer and closer to the unreachable phi.

Fluctuations of the ratio around the value 1. In many cases, it is believed that humans subconsciously seek out the golden ratio. For example, traders aren't psychologically comfortable with excessively long trends. Chart analysis has a lot in common with nature, where things that are based on the golden section are beautiful and shapely and things that don't contain it look ugly and seem suspicious and unnatural.

This, in small part, helps to explain why, when the distance from the golden section becomes excessively long, the feeling of an improperly long trend arises. Fibonacci Trading Tools There are five types of trading tools that are based on Fibonacci's discovery: The lines created by these Fibonacci studies are believed to signal changes in trends as the prices draw near them.

Others reckon that computations for multiple retracements are too time-consuming and difficult to use. Perhaps the greatest disadvantage of the Fibonacci method is the complexity of the results for reading and the ensuing inability of many traders to really understand them. In other words, traders should not rely on the Fibonacci levels as compulsory support and resistance levels.

In fact, they may actually be levels of psychological comfort as well as another way to look at a chart. The Fibonacci levels, therefore, are a sort of a frame through which traders look at their charts. This frame neither predicts nor contributes anything, but it does influence the trading decisions of thousands of traders.

However, the Fibonacci studies do not provide a magic solution for traders. Rather, they were created by the human mind in an attempt to dispel uncertainty.