## Fibonacci Numbers

**A**t the beginning of the thirteenth century when Europe moved into the Renaissance period from the Dark Ages. There was a growing interest in science, art, architecture, and mathematics. Mathematics had a lot of advancements and achievements during this period, and the Fibonacci numbers by Leonardo Pisano transformed the world of mathematics during this time.

#### Life of Leonardo Fibonacci

The date and location of Leonardo Fibonacci’s birth are not sure, but it might have been born in the year 1170 in Pisa, Italy. Leonardo of Pisa, as he is also called, studied in Bugia, where he learned Greek mathematics, Algebra, and the Hindu-Arabic numbering system to be effective in computing so he could be a merchant like his father, Guilielmo Bonacci.

Computing was a necessary skill to have as a merchant as different countries used different units of money. Converting currencies was essential during negotiations.

#### His Works

Leonardo wrote various books during his lifetime, including his most famous book *Liber Abaci* known as the “book of calculation.” This book focused on trigonometry, the Hindu-Arabic numbering system, Flowers, and number theory.

After the success of the *Liber Abaci, *the Europeans discarded the Roman numbering system discarded in favor of the productive Hindu-Arabic numbering system.

#### Fibonacci Sequence

Leonardo invented this sequence while he was trying to solve one of the many problems in the *Liber Abaci*. The problem was based on rabbits regeneration. How many rabbits will they be after a year if there was a pair in the initial month?

Leonardo’s solution to the problem was if there was a pair in the first month, then they would be an adult pair and one baby pair in the following month; Two adult pairs and one baby pair in the third month, and so on. The addition of the rabbits per month, one after the other, leads to the Fibonacci Sequence.

1,1,2,3,5,8,13,21,34,55,89,144,233,377…..

The above sequence is the famous Fibonacci sequence. The Fibonacci is a recursive sequence where if you want to find the next number, you have to add the two numbers coming before. It took until found a hundred years later in the 1800s after Leonardo published the *Liber Abaci* before mathematicians noticed the Fibonacci Numbers and unique patterns.

#### Patterns in the Fibonacci Sequence

Fibonacci himself didn’t mention these patterns in his book, but most of the patterns were discovered years after his death.

- Two consecutive Fibonacci numbers are relatively prime numbers. They have no similar factors. For example: 5,8,13,21,34
- Adding any ten consecutive Fibonacci numbers will always give you a number that can be divided by eleven.
- When the square of a Fibonacci number is subtracted from the number two places after it, you get a Fibonacci number.
- Adding the square of two successive Fibonacci numbers gives you a Fibonacci number.
- The square of two consecutive Fibonacci numbers sum up to a number that can be the product of two successive Fibonacci numbers.
- When you square and add two successive Fibonacci numbers, the answer is a Fibonacci number.
- When four consecutive Fibonacci numbers are chosen, the two numbers in the middle squares difference is the product of the outer two numbers.

The more the Fibonacci sequence is studied, the more astonishing and incredible patterns emerge. The more mathematical equations are performed on the numbers, the different connections between them come to light.

This is why mathematicians are all fascinated with the Fibonacci numbers.

## Fibonacci Sequence And How It Started

The trading world is a big and lucrative one with different people, tools, and merchandise. A lot of people involve themselves in trading, be it online or offline. Traders in the industry carry out their operations to make a profit and do this with various tools. One of these tools is the Fibonacci sequence and is known to help traders maximize their profits. Here are some things you should know about Leonardo Fibonacci and the sequence he created.

#### Origin of The Fibonacci Sequence

The Fibonacci sequence was created as a system of arithmetic by an Italian known as Leonardo Pisano. This Italian lived between the years 1175 – 1250. Leonardo grew up traveling across the Mediterranean Sea with his Italian father, a Pisa port merchant. Some of the most well-known traders happened to be Italians, as well as some other merchants.

The Fibonacci sequence’s rise came about due to the different numeric calculation system used by the traders. The primary numeric system used by these European traders were the roman numerals. Arabs. On the other hand, used the Hindu Arabic numeric system, which was completely different from the roman numeric system.

The Indian Arabic system, which we now call decimal, had a symbol for representing zero. It was a factor absent in the numerical system that Leonardo and his people used, making calculations different. According to history, the origin of the numerical system that the Arabs use came from India. The name was changed to Arab numerals by the westerners who were able to learn it from them.

#### Who Created the Fibonacci Sequence?

Leonardo Bonacci is the name of the Italian who created the Fibonacci sequence. People call him Leonardo Pisano, which translates to Leonardo from Pisa. Leonardo was born in the year 1170 to an Italian custom officer called Guglielmo. Guglielmo was also a merchant who was in charge of directing a post for trading in Algeria. In bugia, where his father worked in Algeria, he got some education on the Hindu Arabic system.

Leonardo journeyed around the coast connecting Europe, Africa, and Asia with his father, trading and learning different arithmetic systems. His meeting with different kinds of merchants opened his eye to the advantages of the new system of arithmetic. The Indian Arabic system became popular in Europe after completing his book titled liber abaci in 1202. In his publication known as the Liber abaci, Leonardo expressed the Indian’s calculation method to the Europeans. He showed them various numeric system applications, including how practicable it was to apply it to bookkeeping commercially.

#### Fibonacci Sequence as A Solution to The Rabbit Problem

A problem arose that involved the growth in rabbits’ population and some assumptions that had been idealized. Leonardo brought a solution using the sequence of Fibonacci called numbers of Fibonacci. The sequence in the Liber abaci was the description that was popular outside India very early. An Indian mathematician had already described it as a sixth-century sequence.

## Fibonacci Strategies: How It Is Traded and Its Time Frames

The trading the world deals with buying and selling with the different medium of exchange, and due to this, calculations are done. In our present world, trading is done in the physical markets and online markets. Some of these markets are the forex market, stock market, etc. The Fibonacci tool helps traders to get accurate timing for various markets and also manage their trades well. Here are some of the strategies that traders make use of when applying Fibonacci in trading.

#### Strategies used in trading Fibonacci

The mathematician called Leonardo Fibonacci developed a sequence when he solved a pending issue regarding the rabbit

population’s growth. However, the strategies which modern forex and stock traders use are not the exact sequence of Fibonacci. Traders use Fibonacci retracements, and this has numbers that are derivatives from the relationship existing between numbers in that sequence. Another tool used in trading Fibonacci is the Fibonacci extension. Traders use Fibonacci extension and retracements together to get accurate analysis and make profitable trades. Let us discuss these two parts tools under Fibonacci.

#### THE FIBONACCI RATIOS

The Fibonacci sequence birthed the golden Fibonacci ratios. They became a major contributor to trading strategies. Very soon, terms like Fibonacci extensions and retracement became a popular term in the forex and trading market. Whenever there is a change in stock prices, there will be a retracement before the next change, either up or down. It shows that the stock has taken a Fibonacci level. A golden ratio derived from the Fibonacci number works by dividing one number by the next. This number is .618 and has been related to stock price changes, retracements, and target levels periodically. This discovery made many years ago; the Fibonacci sequence can change the stock market and trading market forever!

#### Fibonacci retracements

The Fibonacci retracement is a measurement that exists between two points

Traders who use Fibonacci retracement to use it as a strategy to change trends. Traders use this strategy when the trade shows an accurate probability of rebounding right back to the previous trend direction.

#### THE DIFFERENT FIBONACCI TOOLS

There are Fibonacci numbers that make up the Fibonacci sequence. This sequence makes up the golden ratio. The entirety of Fibonacci in itself has been used over time to derive multiple stock market trading tools. There are up to 5 Fibonacci trading tools as of now. With the many prospects it holds, there is the possibility that Fibonacci has more than just 5 to offer. These are

Arcs

Retracements

Fans

Extensions

Time-zones

The most popular ones are retracements and extensions. As prices draw towards the pointers, these tools serve as notifications for even the littlest of changes.

#### FIBONACCI NUMBERS AND TIME ZONE PREDICTIONS

Fibonacci time zone is one of the tools of the sequence used in trading. Like the other Fibonacci tools, it works as an indicator of specific stock market changes on the stock chart. It is also very effective for predictions and action decision making. The indicator takes either as a high swing or low swing on the stock chart. It could either indicate a rise, a fall, or a reversal.

#### How does it work?

The Fibonacci time zone tool is a function of the Fibonacci numbers. These numbers depict the vertical lines along the x-axis on the stock chart covering changes in assets’ prices.

**WHAT YOU NEED TO KNOW ABOUT THE ROLES OF FIBONACCI TIME ZONES IN STOCK MARKET TRADING**

The time zome tool can be used to indicate possible highs Lows. And reversals

The indication on positions where reversals are concerned are not always exact. They are fully dependent on time-based areas.

Fibonacci time zones do not cover the entire stock chart. It only indicates areas that are of importance, considering time.

It gives more value to time, and time-based areas over price.

Fibonacci time zones are also dependent on the golden ratios.

### Fibonacci Strategy – A Comprehensive Guide

You can improve your analytical skills once distinguishing the amount of resistance and support using the Fibonacci analysis. The analysis has its basis on a progressive numerical series named Fibonacci Pisano, who popularized its standard in the European nation Italy. As a trader, our interest lies within the magnitude of levels between the numbers present instead of the numbers themselves. We tend to name these ratios the Fibonacci ratios and use them to grasp the probable levels of resistance and support.

#### Fibonacci Trading Methodology

Their area unit rules trading in forex to use this methodology that you wish to follow strictly. The primary is for you to search out the trend you’re on if it’s a downtrend or uptrend. The next issue you wish to try and do is look at the chart formation for swings. Verify wherever the best and lowest swings area unit situated, then trade on that. You’ll use the Fibonacci retracement tool to assist your indecisive exit and entry points.

Widgets help you establish the extent of retracement and direction of reversal in value. It’s vital to possess a Fibonacci calculator available because it’ll help you get your retracement levels. With this, you may get levels for 1/3, 23.8%, 38.2%, 50%, and 61.8%.

#### Caution

A reasonable variety of traders involved in forex tend to be inclined quantitatively. However, you tend to omit some vital data once trading on technical analysis alone. Accountability for plenty of data that influences the trends dramatically doesn’t exist underneath technical analysis. As a forex trader, you wish to know that no single tool exists, having a 100% success rate.

The basis of market movement theories hooked up to technical analysis is strictly mathematical analysis. It means creating any wrong assumptions can flip the trade against you. So, it would help if you recognized that a trend isn’t bound to offer you profit. The vital issue is to possess the idea that the sequence will be profiting once the trend is favoring you. The only thing this strategy will be to supply you with differently to induce your exit and entry points. The profit is to assist you in applying some rules for you to follow. It would be best if you did your estimation of movement reach with the expansion levels.

There is area unit 2 levels that area unit vital once talking regarding Fibonacci growth. The primary one is 61.8% and, therefore, the alternative at 100%. These explicit levels assist you to recognize wherever to form the use of the profit-taking data. To use Fibonacci, you wish to search out {the value the worth the value} sure from the best price to very cheap.

#### What to Notice Once Using Fibonacci

A large variety of traders perpetually happen to use it the incorrect method. Here area unit some mistakes you may encounter. Using a joint point of reference, you can verify the purpose of reference for each high and low swings via the candles’ intense costs. As a trader, if you use the damage for the referencing of swing high during a candle: the referencing for the swing low should match the damage. Avoid little timeframes once the comeback of Fibonacci. A lot of unreliable signals exists in low timeframes and area unit largely known as noises. There’s an oversized variety of volatility alongside the wrong resistance that Fibonacci retracement’s support levels have. Because of this, your prediction within the direction that the worth can go will be inaccurate. It makes it troublesome to work out the exit level because of the tiny movement in pips.

#### Solution

The solution is to master the Fibonacci techniques and methods. Widen your data with books and videos. you’ll conjointly get in-tuned with a mentor

### Fibonacci Trading Tools

#### Corrections

For corrections, it is an impulse wave that defines the direction the market trend moves. It also explains the corrective wave that will happen before the next impulse wave reaches new territory. This occurs in a bull market and even in a bear market condition. Technical analysis would be easy if we could easily detect a single correctional pattern. The problem is that in the commodities, stocks, currency, and futures market, price patterns occur more than impulse waves associated with related to corrections through the product volatility and the size of the swing.

Guessing the size of a correction is a big problem. When you are considering your corrections, you should focus on the phi ratios.

#### Three-Wave Patterns Price Extension

Most price extensions happen due to market trends, weather news, interest announcement, etc. When a news announcement contrasts with what the investors expected, situations in the market occur with great trading ability. As an investor, you can only take advantage of these situations that occurred by following the rules of analysis. It could get dangerous if you are in the wrong position in the market.

Price extension mainly takes place in the third wave of the three-wave pattern. If a three-wave pattern is an uptrend movement, the correction does not go lower than the third wave. If it is a bear trap formation, the first impulse wave is higher than the correction.

#### Five-Wave Pattern

If you are a trader that likes trading in fast markets can follow the rules of the three-wave patterns and extend the rules into the five-wave design. In a five-wave pattern, when you are assessing the price extensions, you look for another number from the Fibonacci series to confirm the calculation of your price target for a three-wave pattern extension. You divide this number by the golden ratio.

When analyzing a three-wave pattern, you multiply the golden ratio by how big the first impulse wave is, then add your answer to the swing size of the first impulse wave to get the price target line. It is at this point that the third wave reverses. The most popular price patterns have five waves minimum.

#### Price Target in a Five-Wave Pattern

In an uptrend movement, you get your price target is by multiplying the amplitude of the first wave by the golden ratio. Also, multiply the bottom wave amplitude to the top of the wave three by the golden ratio reciprocal.

In the downtrend movement, you multiply the first swing size by the ratio 1.618 and the high of wave one to wave three low by golden ratio 1.618. Combine both calculations. Then you can calculate the end of wave five at the exact price provided the market is moving in a normal pattern.

Although this is not always the case, you can always get two price phases that are close or far from each other depending on wave one and wave three amplitudes. This is known as the **Price Target Band. **You can’t be sure if you can reach the price forecast but if the price targets are far from each other then don’t analyze both of them.

You can only consider a target band if the price levels or phases are close together relating to the swing size of the movement of the first impulse wave.

#### Conclusion

This article concentrated on Fibonacci trading tools and trading ideas like price correction, price extensions and wave patterns so candle sticks and price patterns can be easy for you to understand if you want to delve into them.

### Fibonacci- Understanding Levels and Their Application

An Italian scientist had created an infinite series of numbers to see the results of a pair of breeding traits. The numbers represent a series of figures that start from a range of zero or one. It’s a sequence whose continuing numbers rely on the last 2 preceding numbers. The numbers provide the Fibonacci ratios. These ratios are said to be supported the division of Fibonacci numbers by one another. So, what then is the Fibonacci retracement?

It is a measure 2 important points; one at the peak and another at a trough on a stock chart.

#### What Makes Up the levels

The distance between the two points derived from Fibonacci numbers’ golden ratio on a horizontal scale is split by percentages referred to as the key Fibonacci ratios. Identifying those key points and correct matching the horizontal points will yield results that will establish the Fibonacci levels. The most identified of these are the resistance and support levels.

In easier placed terms, they are points on a stock chart used by traders to spot and predict changes in the trading market where the rise or fall of an asset/price is concerned. These levels are vital when making predictions. Once divided by one another, the values have an awfully close relationship. These relationships cause the ratios whose relations can serve as a foundation to confirm the levels. However, they additionally suffer some major setbacks as several alternative universal trading methods.

#### Application of the different levels in trading strategies

Being an infinite sequence of numbers related to one another, the Fibonacci numbers are exceptional, among other sequence collections. This explains why the Fibonacci levels, a function of Fibonacci numbers, are practical proof of prediction. It confirms that predictions and trading decisions can be made by studying charts without necessarily consulting fundamental analysis.

When checking for changes in prices and price swings. They yield compelling levels depicting high and low swings that help watch out for potential reverse prices. The function in two main forms- retracements and extensions.

### MAJOR APPLICATIONS OF THE LEVELS ON A STOCK CHART

#### What Are Retracements and How Do They Function with Levels

Retracements, accustomed to confirming the associate degree levels of assets, will determine if its value will presumably reverse or hike in the stock market. It is a vital determinant of important points in the future, stocks, and Forex commercialism. Thanks to its relative simplicity and high predictive ability in several applications; It is applicable in the very heart of trading. It’s thanks to its relative simplicity and high predictive ability.

One major use of the retracements stands on its ability in a countertrend trading as a primary mechanism.

They measure horizontal lines that might denote the support and resistance level connected to either a high or low-level worth. Once an asset chance occurs, retracement tools go ahead to track the changes and predict just how the next change would differ; whether there will be a rise or a fall in asset price. There is a sign that a modification happens once a value changes in direction on a stock chart. This happens because it closes in on either support or retracement levels.

#### What Are Extensions and How Do They Function with Levels

They track profit targets and notify you of the slightest hikes after an asset has experienced a change on the stock chart, most times a reversal is done. The levels could also be areas where a price might reverse on the stock market chart.

They usually mark price targets based on importance. This is also dependent on the Fibonacci ratio as well as price size.

They are quite effective but should not be over-relied on. They both work relatively and are important in the stock market industry.

### Fibonacci- Understanding Levels and Their Application

An Italian scientist had created an infinite series of numbers to see the results of a pair of breeding traits. The numbers represent a series of figures that start from a range of zero or one. It’s a sequence whose continuing numbers rely on the last 2 preceding numbers. The numbers provide the Fibonacci ratios. These ratios are said to be supported the division of Fibonacci numbers by one another. So, what then is the Fibonacci retracement?

It is a measure 2 important points; one at the peak and another at a trough on a stock chart.

#### What Makes Up the levels

The distance between the two points derived from Fibonacci numbers’ golden ratio on a horizontal scale is split by percentages referred to as the key Fibonacci ratios. Identifying those key points and correct matching the horizontal points will yield results that will establish the Fibonacci levels. The most identified of these are the resistance and support levels.

In easier placed terms, they are points on a stock chart used by traders to spot and predict changes in the trading market where the rise or fall of an asset/price is concerned. These levels are vital when making predictions. Once divided by one another, the values have an awfully close relationship. These relationships cause the ratios whose relations can serve as a foundation to confirm the levels. However, they additionally suffer some major setbacks as several alternative universal trading methods.

#### Application of the different levels in trading strategies

Being an infinite sequence of numbers related to one another, the Fibonacci numbers are exceptional, among other sequence collections. This explains why the Fibonacci levels, a function of Fibonacci numbers, are practical proof of prediction. It confirms that predictions and trading decisions can be made by studying charts without necessarily consulting fundamental analysis.

When checking for changes in prices and price swings. They yield compelling levels depicting high and low swings that help watch out for potential reverse prices. The function in two main forms- retracements and extensions.

### MAJOR APPLICATIONS OF THE LEVELS ON A STOCK CHART

#### What Are Retracements and How Do They Function with Levels

Retracements, accustomed to confirming the associate degree levels of assets, will determine if its value will presumably reverse or hike in the stock market. It’s a vital determinant of important points in the future, stocks, and Forex commercialism. Thanks to its relative simplicity and high predictive ability in several applications; It is applicable in the very heart of trading. It’s thanks to its relative simplicity and high predictive ability.

## FIBONACCI: HOW RETRACEMENTS WORK IN TRADING

The Fibonacci sequence was formulated many years back to predict the attainable outcomes of breeding involving a pair of rabbits in one year. Later on, the famed sequence became effective in several alternative predictions. Shortly after its introduction into the western civilization, the Fibonacci sequence found its means into the money commercialism, exchange, and trading market.

The **Fibonacci traders** sequence’s accuracy and predictive phenomena became an important strategy involved in predicting the changes within the stock and commercialism market.

Active traders began to take the lead into cracking the opportunities it offers in the financial trade market.

### What Makes Up The Fibonacci Retracements? – How It Came About

An Italian scientist had developed it to see the results of a pair of breeding traits. These numbers represent a sequence of figures that begin from a range of zero or one. It’s a sequence whose continuing numbers rely on the last 2 preceding numbers. These numbers provide the Fibonacci ratios. These ratios are said to be supported the division of Fibonacci numbers by one another. So, what then is the Fibonacci retracement?

It is a measure 2 important points; one at the peak and another at a trough on a stock chart.

The distance between them on a horizontal scale is split by percentages referred to as the key Fibonacci ratios. Identifying those key points and correct matching the horizontal points will yield results that will establish resistance and support levels.

In easier placed terms, Fibonacci replacements are useful tools used by traders to spot and predict changes in the trading market where the rise or fall of an asset price is concerned. It functions as a tool to set target costs. It’s totally keen about 2 important points on a stock chart. Indicators should remain on standby when operating with this type of retracement. This is because, like other tools, it also faces some setbacks

Though it’s excellent for predictions, it additionally suffers some major setbacks as several alternative universal trading tools. Since Fibonacci numbers depend on one another, its values remain closely connected, whether preceding or continuing. Once divided by one another, the values have an awfully close relationship. These relationships cause the ratios whose relations can serve as a foundation to confirm retracement levels. The golden ratio stands at is 61.8%

## The Fibonacci Golden Ratio

The Golden Ratio had several unique names before Luca Pacioli, a mathematician in the fifteenth century, named it “divine proportion.” Johannes Kepler, an astronomer in the sixteen century, said the ratio was one of the geometry ratios.

The Fibonacci Ratio is a never-ending irrational ratio. It can’t be expressed precisely, and it is unpredictable. If each number in the Fibonacci sequence is divided by the number before it, the result is the irrational number 1.61803398875.

When larger numbers in the sequence are used, the closer we get to the exact ratio. The precise ratio can never be known even with the most effective computers, so to be brief, the ratio is referred to as 1.618 with a marginal error.

The Golden ratio is denoted by the letter PHI. When a number in the Fibonacci series is divided by the number that comes after it, the Fibonacci series gets closer to the reciprocal golden ratio (0.618).

When the line segment is partitioned in such a way that the longer part to the shorter part is the same as the entire line segment is to the longer piece, your result us the golden ratio.

#### The Golden Rectangle

In the late nineteenth century, Gustav Fechner, a German Psychologist, performed a study in which he asked different people to choose the rectangle that felt satisfying to their eyes out of many rectangles. The result of the study showed that many people chose the rectangle that had the ratio of two consecutive Fibonacci numbers 21:34, and the ratio approaches the reciprocal of phi.

Before the research, Gustav had measured many rectangles that he could find, and he found out most of these rectangle ratios were closer to phi. The rectangle that was chosen was by a large percentage of people was a golden rectangle. The rectangle is neither too big nor too small, neither too lengthy nor too short. It is a perfect rectangle.

#### The Golden Angle

The golden angle is the angle that divides a full circle into angle fractions that conforms to the golden ratio. The golden angle can be found the reciprocal of phi is multiplied by 360°, and the outcome is subtracted from 360°.

The larger the Fibonacci numbers used, the closer the golden angle gets to accuracy.

#### The Golden Spiral

The form of this spiral remains the same, even when it changes in size. When the radius increases, the length also increases. The spiral can be designed using the Fibonacci squares and golden rectangles. Before constructing the spiral with a golden rectangle, the rectangle is split up into consecutive squares.

## Fibonacci Numbers in Nature

Hundred years after Fibonacci’s death, during the reconnaissance period, people were paying more attention to nature. Scientists then noticed the Fibonacci numbers in plants, humans, and animals. The Fibonacci numbers also appear on the plant’s leaves arrangement. There is a field of study about this called “Phyllotaxis.”

In the animal kingdom, the Fibonacci numbers can be found in animal regeneration. In the Bee Kingdom, the number of bees in each generation is a Fibonacci number. The golden spiral can be found in elephant tusks, seashells, cat claws, an insect path as it moves toward a source of light.

The Fibonacci numbers can also be found in the pentagon, the length of the side of a pentagon is a number in the Fibonacci series, and the size of the diagonal is the Fibonacci number that comes after proving that the pentagon is a perfect one.

Also, when the diagonals of the Pentagon intercept, the segments’ lengths are two successive Fibonacci numbers.

## How To Trade Using Fibonacci?

Beyond comprehending the in’s and outs of Fibonacci retracement, we need to know how one can use it to trade in the forex, futures, and stocks market? This is a crucial question that requires an answer. For what good is the Fibonacci retracement if we cannot use it to trade.

Therefore, further into this article, we will find out just how to use this technical analysis indicator to trade. We will discuss how to draw Fibonacci retracement and how best to utilize it. Suppose you have never used Fibonacci before or want to learn how to utilize this indicator better. Then, give us some minutes, read on and learn what is best.

#### How to Use Fibonacci Retracement To Trade?

Discussing on the usage of Fibonacci retracement for trading, the first thing to note is that it is used essentially for a trending market.

#### What is a Trending Market?

A trending market is a financial market in which price continues to move in a particular direction over some time. It either continues to move upward over a long period or downward over time.

So, a trending market is where we use Fibonacci retracement levels, precisely between two significant positions on the price chart. Specifically, between the peak and low point of a price chart.

From previous discussions, we understand already that Fibonacci retracement levels are non-changing percentages (static) that try to predict possible price movement. Also, we draw Fibonacci retracement from the peak position of a trend to its low position and vice versa.

More so, the aim is to execute a buy trade at the level of retracement on an uptrend after Fibonacci signifies a support zone. Also, to execute a sell trade at retracement on a downtrend market after Fibonacci indicates a resistance zone.

Remember, Fibonacci retracement levels aim to predict possible price movement either upward or downward. And also, remember that Fibonacci works with a trending market. Therefore, to utilize the Fibonacci retracement in any financial market start by first identifying a trend. Also, identify if it’s an up or downward trend. This determines how you will draw your Fibonacci.

#### How to Draw Fibonacci Retracement on An Upward Trend

After identifying an uptrend in a forex, futures or stocks market, search for the high levels and low levels of the trend.

So, to begin, select Fibonacci retracement indicator on your trading platform. Then draw the Fibonacci retracement from the low position to the high position of the uptrend. Suppose you do this accurately; the Fibonacci retracement levels automatically appear on your price chart to show your possible support and resistance for that trend.

Subsequently, we will be able to predict how long a price would retrace before returning to its upward trend, and you have more understanding of where’s a good point to buy (go long).

#### How to Draw Fibonacci Retracement on A Downward Trend

First begin by identifying a downward trend in the market, then search for the latest high position and low level.

In a downward trending market, draw a Fibonacci retracement from the latest high position to the low position. So, you click on the high position and drag the icon to the low position. Afterwards, the Fibonacci retracement levels automatically appear from the high to the low position.

#### Conclusion

Therefore, we do not manually calculate retracement levels; it is automatically calculated. All that we need is to ensure that we draw the Fibonacci retracement at the accurate, the latest high and low positions of a trending market.

## FIBONACCI RETRACEMENT

You can find the Fibonacci ratio by dividing a number in the Fibonacci sequence by the number that follows it. 61.8% is the golden ratio, but as you can see, there are other ratios you can find when you divide a number in the Fibonacci sequence by numbers two places or three places from it to the right.

A Fibonacci ratio is also called a retracement level because there might be a chance that a price can sit and reverse at one of these ratios. Examples of other ratios you get when you divide a number in the series by numbers two or three places from it are 31.8%, 23.6%, 50%, 71/8%. These ratios are famous retracement levels.

The fifty percent level is important, but it is not in the Fibonacci series. Traders react when a price is half its former swing, so that is why traders added this level to the retracement level.

#### How To Draw Retracement Levels?

The price can’t move in one direction for a long time. Good and bad news changes the direction a price moves, making it hard to enter the trade. Most of the time, prices move in a zig-zag way called waves. As a trader, you need to know these movements.

The other things you should know is after the primary swing has happened from a point X to Point Y, a correction would occur in the opposing direction to Point Z, which is located between Point X and Point Y. It is not easy to find the points at first try but it gets easier the more you do it. After you have found all the points then you draw a retracement with a tool with a chart software.

#### Retracements Line (Low to High)

If you are using a candle chart, you should draw from the shadow of the candle to the peak. Your results are more accurate after you apply the retracement levels to your candle chart.

#### Retracements Line (High to Low)

You have to choose the accurate top and bottom. Sometimes when you choose the wrong one it does not really affect the retracement levels; you can practice with price history.

#### Levels of Price and Retracement

There is a problem new traders battle with, they think when the price touches point Z then the retracement level is accurate. This is wrong. What new traders don’t know is that the retracement levels might be a good trading tool, but it is never hundred percent accurate. The retracement level might be close to the price and still be accurate.

#### Recommended Levels of Retracement

There are many retracement levels, but investors only use distinct one while some draw the retracements themselves. Learn the standard retracement levels and after you have gained many experiences, you will decide the ones you want to use.

The levels you should use are: 38.2%, 61.8%, 78%, 23.6% and 50%.

You might be wondering why the 50% since it is not a real retracement level but traders like to keep this level, so it is important. Use these levels, and when it comes to price corrections, you should be good enough to trade.

## FIBONACCI NUMBERS – TECHNICALITIES IN THE STOCK

Leonardo created the Fibonacci sequence to solve a problem, and this sequence makes waves in trading strategies in today’s world. Traders who are into forex and stocks make use of this particular sequence and other tools to aid their analysis and make a good profit in the trading market. Fibonacci numbers have the ability to predict even the littlest changes in stock prices on a stock chart. They use the sequence to determine entry points, and it also helps in taking away bias due to emotion if adhered to.

#### THE FIBONACCI NUMBERS AND THE FUTURE AND STOCK TRADE INDUSTRY

The Fibonacci sequence birthed the golden Fibonacci ratios. They became a major contributor to trading strategies. Very soon, terms like Fibonacci extensions and retracement became a popular term in the forex and trading market. Whenever there is a change in stock prices, there will be a retracement before the next change, either up or down. I

t shows that the stock has taken a Fibonacci level. A golden ratio derived from the Fibonacci number works by dividing one number by the next. This number is .618 and has been related to stock price changes, retracements, and target levels periodically.

These ratios are said to be supported the division of Fibonacci numbers by one another. So, what then is the Fibonacci retracement?

It is a measure 2 important points; one at the peak and another at a trough on a stock chart.

The distance between them on a horizontal scale is split by percentages referred to as the key Fibonacci ratios. Identifying those key points and correct matching the horizontal points will yield results that will establish resistance and support levels.

#### HOW DO RATIOS APPLY IN PREDICTING STOCK MARKET CHANGES?

The ratios appear to play a vital role once it involves predicting stock changes. Retracements, accustomed to confirming the associate degree levels of assets, will determine if its value will presumably reverse or hike in the stock market. It’s a vital determinant of important points in the future, stocks, and Forex commercialism. There are completely different Fibonacci commercialism tools. However, the retracement tools remain the foremost used. Thanks to its relative simplicity and high predictive ability in several applications. It is applicable in the very heart of the trading instruments. It is thanks to its relative simplicity and high predictive ability

#### STRATEGIES USED IN TRADING FIBONACCI

The mathematician called Leonardo Fibonacci developed a sequence when he solved a pending issue regarding the rabbit population’s growth. However, the strategies which modern forex and stock traders use are not the exact sequence of Fibonacci. Traders use Fibonacci retracements, and this has numbers that are derivatives from the relationship existing between numbers in that sequence. Another tool used in trading Fibonacci is the Fibonacci extension. Traders use Fibonacci extension and retracements together to get accurate analysis and make profitable trades. Let us discuss these two parts tools under Fibonacci.

#### THE DIFFERENT FIBONACCI TOOLS

There are Fibonacci numbers that make up the Fibonacci sequence. This sequence makes up the golden ratio. The entirety of Fibonacci in itself has been used over time to derive multiple stock market trading tools. There are up to 5 Fibonacci trading tools as of now. With the many prospects it holds, there is the possibility that Fibonacci has more than just 5 to offer. These are

Arcs

Retracements

Fans

Extensions

Time-zones

The most popular ones are retracements and extensions. As prices draw towards the pointers, these tools serve as notifications for even the littlest of changes.

The Fibonacci numbers have a lot to offer. That’s for sure. However, iindependent. It is important to combine the Fibonacci tools with other methods. Confirmation, testing, and retrievals should be done before using the Fibonacci tools to make vital trade decisions.

## THE FIBONACCI SEQUENCE: HISTORY. APPLICATION AND CONNECTION TO TRADING

The Fibonacci sequence is optimally derived from its imperative base because sign Fn most typically notes the Fibonacci numbers. The sequence is completed so that every variety becomes the sum of its preceding numbers, concerning zero and one. A pure example of Fibonacci numbers so as a square measure as follows: zero, 1, 1, 2, 3, 5, 8, thirteen, so on.

With a great deal of study on the Fibonacci number, you’ll be able to relate that ancient books or researches have expressed that; F0=0 is released and omitted, that as a result makes the Fibonacci sequence begin with F1=F2=1. of these square measure easy logics behind understanding the Fibonacci sequence and numbers.

#### HISTORY OF THE FIBONACCI SEQUENCE/NUMBERS

The Fibonacci sequence was derived from an ancient Italian named Leonardo. Then, the World Health Organization referred to this Italian mathematician to as architects of the metropolis and was lager well and popularly referred to as Fibonacci. The Fibonacci sequence was later introduced to the EU countries, particularly to the western part of Europe. This world breaking introduction of the sequence to western Europe affected the EU arithmetic (for the better) although it’s earlier been introduced to arithmetic and mathematicians in the Asian nation. Note that in arithmetic, the Fibonacci numbers and sequence come most unexpectedly in the most way that a complete journal was dedicated to its study.

With correct research distributed, it’s expressed that the Fibonacci sequence’s history is the genesis of the poetic tradition in Sanskritic language. Altogether, the question remains, was this ideology in arithmetic applicable to other predictive scenarios and phenomena? To quench that curiosity, it’d properly expressed that in those times in Sanskritic language, there arose an unforeseen interest in enumerating the complete patterns of syllables of 2 (2) units in the period even as the long (L) syllables and syllables of a 1 (1) unit period because of the short (S) syllables. The Fibonacci numbers were then enumerated with complete results of given durations, all by tally all completely different patterns of the ordered S and L unit and syllables.

#### APPLICATION

2012 shows and clarifies how the Fibonacci number sequence may be connected and intertwined with the political economy’s wild field.

The Fibonacci sequence may even be suitably applied to music and nature yet as patterns and honeybees in the pedigree, in keeping with these rules:

In alternative words, it is an incontrovertible fact that a male bee has just one parent, whereas a feminine bee has 2 folks. If, by any probability that a male bee’s (1 bee) pedigree is derived, it’d be found that he has one parent (1bee). From that time through its ancestors, it’d be found that there would be 2 grandparents, three great-grandparents, five great-great-grandparents, and eight great-great-great-grandparents, etc. so it’s clearly shown however the Fibonacci sequence applies to breeding, which was the foundation of its formation. We didn’t expect its able application in terms of trading futures, stocks, and generally the financial market.

#### RELEVANCE

The Fibonacci sequence shows a true connection and has found its way into one of the most thriving industries globally. The financial trade markets!

## Fibonacci Numbers – Understanding The Technicalities

For what it is worth, Fibonacci numbers are one of the most important arithmetic sequence discoveries in history. As a trader in the stock and futures market, you must understand the technicalities surrounding it from the start to the finishing. The many opportunities and benefits offered by the Fibonacci numbers have left many traders completely dependent when it comes to trading. There has been a rise in the absolute reliance without question on Fibonacci numbers by traders. While we cannot deny the many benefits it has to offer, Fibonacci tools in trading could leave you in a massive loss when not followed duly.

#### Can Fibonacci Tools Influence The Minds Of Traders?

The stock market and futures trading market is like a die. It’s predictable but also a game of chance. Many a-times, business means and big companies have gone bankrupt just by making the trading industry’s wrong move. This is why many traders invest in finding more accurate trading strategies and tools with close to 100% assurance and accuracy rate.

There are experts and strategists whose major role in the stock and future trade market is to crack the stock

market’s unknowns. Its influence, behaviors, path, and everything about it derive new strategies and working tools that could make a real difference.

In all this time. There has been an increase in tools, strategies, and systems that make the trading experience better, even for beginners and amateurs. From **automated trading systems** and programs to premeditated strategies sold by experts to traders, each of these have had an effect on traders.

#### Positive Effects Of Using Fibonacci Numbers On Traders

The search for something better means better results are expected. When used properly, the Fibonacci numbers can make a real difference in trading success. Understanding the technicalities of Fibonacci numbers, their effects, how they work, how they should or should not be used. Traders get a better insight into the functioning of the stock market. Traders are more aware of even the littlest changes where the stock market is concerned. Understanding the stock market is the very first step to take as a future or stock trader. The desire to understand the Fibonacci numbers will help understand how the trade market works.

#### Negative Effects Of The Fibonacci Numbers On Traders

We cannot deny the many benefits of the Fibonacci numbers. It holds a lot of promise for the trading industry. While this may be so, many opportunities also pose a threat to the trading industry. Many amateurs and beginners still new to the future, and the stock trade market want to tap into the Fibonacci tools’ many benefits. This is enough to drive many traders into using these tools. Emotions and greed are hazardous emotions to have in the future and the stock market. The golden egg mentality that circulates the internet about Fibonacci tools is enough to drive those emotions. In the end, traders could deviate from their original strategies, take the wrong steps, and end up losing a lot of money and assets into the trade market.

When it comes to the future and stock trading market, the strategies and tools being used and their success rate depend on just how much you know about them, hope to use them, their functionality, and their setbacks. Fibonacci tools are not an exception. They are not almighty; neither are they magic tools. They also need to be understood, to be tested, to be strategic with. Understanding the technicalities of trading, in this case, the Fibonacci tool is vital.

## WHAT IS FIBONACCI RETRACEMENT?

From the concept of Fibonacci sequence introduced to the world in 1202 by Leonardo Pisano, the Fibonacci retracement has come into existence. Derived from its history, we know that the Fibonacci sequence was initially for solving a rabbit breeding issue. But then, further showed this sequence was evident in nature and applicable to many other things in existence, therefore increasing it is acceptable.

How then do we get Fibonacci retracement from this sequence? How then has it become a financial instrument used to trade forex, futures, and stocks? Through understanding what the Fibonacci retracement entails, we will acquire explanations to our questions.

#### Definition Of The Fibonacci Retracement

It is an instrument that pinpoints likely regions of support and resistance on a price chart in the financial market. It is a financial indicator which financial analysts and retail traders utilize to identify ceiling and floor regions on a price chart. These are regions at which price tends to either rebound upward or push downward.

The Fibonacci retracement recognizes regions of support and resistance, making use of percentages and straight horizontal lines which give direction to traders.

#### What Are Fibonacci Retracement Levels?

The Fibonacci retracement is an instrument for technical analysis in the forex, futures, and stocks market. What then is the Fibonacci retracement levels?

They are the actual percentages that show support and resistance on any given price chart. These levels make use of Fibonacci numbers which also form the Fibonacci sequence.

So, essentially, Fibonacci retracement consists of levels which are in percentages gotten from Fibonacci numbers. And these retracement levels are also what shows likely zones of support and resistance to traders.

Therefore, while using Fibonacci indicator, traders take notice of the retracement levels. Bear in mind that these levels are static and come into play between two major points (trend) on a price chart. These levels include 0.0%, 23.6%, 38.2%, 50.0%, 61.8%, 100.0%. You may also see some to include 78.6% and exclude 50.0%.

Also, know that the percentage on a Fibonacci retracement level indicates the level at which price retraced from a previous trading point.

Moreso, we draw the Fibonacci retracement along a trend to know the retracement points of such a trend. You draw a Fibonacci retracement from the high end of the movement to its low point.

Let’s take for example that a commodity trades, increasing to $100 and afterwards moves downwards to $23.6; it retraced 23.6%

Fibonacci numbers through research are evident in various areas of nature, discovered in trees and relevant for biologists, physicists. So, several traders think that these figures that form the Fibonacci retracement are also significant to the financial market too.

To an extent they are correct, for Fibonacci surely helps traders and financial analysts minimize loss and maximize gain. By correctly, or to a high percentage identify entry points in the forex, futures, and stocks market. Close positions as when due after identifying the likely point it will retrace. And, to help set highly accurate take profits and stop loss for trades.

## FIBONACCI – THINGS TO KNOW BEFORE TRADING

For one, Fibonacci numbers have appeared time overtime here; trading is concerned. What exactly are these numbers? What makes them so special? How do they relate to trading? Do they offer more good than harm or vice versa? Do you need any proper knowledge before using retracements for your trading strategies”? All of these questions and more are essential when you want to venture into Fibonacci’s opportunities in trading.

#### What exactly are these numbers?

Well, we can call them arithmetic functions. A set of numbers invented by a mathematician many years ago for a breeding study. These numbers are said to have a very accurate predictive ability in a suitable scenario. Prediction, being one of the essentials in the future, stocks, and trading market. Each number said to be a function of the previous one g9ive a ratio when divided by each other. This ratio is used in determining certain trading levels in the stock market.

#### What makes them so special?

When it comes to sequential numbers, we have a lot of them. Each playing specific roles to solve different problems. The arrangement of odd numbers in ascending order is a sequence used to solve many mathematical problems. The Fibonacci sequence is not so different. What makes them so special is how they are derived in the first place and their applications’ complicity. When it comes to determining natural phenomena such as breeding between a pair of rabbits, deriving a universally correct path can be very tricky. The Fibonacci sequence, however, served to crack even natural phenomena. Many say this is because they are all closely relart5ed and their existence is dependent on each of the other numbers.

Due to its eccentric yet useful ability, it has found itself in many applications. From studies by biologists and physicists to western civilization practices and poetry. Of recent, it has been making heavy waves in the trading and stock market industry. If properly utilized, the Fibonacci numbers not only help predict the rise and fall in stock market asset prices but can also be used to manipulate the entire trading market. With so many trading experts and strategists tapping into the many opportunities the Fibonacci numbers offer in the stock market industry, we can say that this set of numbers, once considered a biological function, have the ability to change the stock market forever in the nearest future.

#### How do they relate to trading?

The Fibonacci numbers relate to many things, but most recently, the trade market has been topping that list. Due to the close relations between the numbers, they are said to give a golden ratio when certain ones are divided. This ratio can be used to track and determine the high and low levels on a stock chart. If an asset that has experienced a change in price will reverse or hike, the Fibonacci ratio, which is an important factor in a Fibonacci retracement, can be used to determine the path on the stock chart,

#### Do they offer bettergood than harm?

Of course, the use of Fibonacci numbers in trading can also have its setbacks, especially in the hands of non-experts. To efficiently use this trading tool, you need foundational trading knowledge as well as Fibonacci applications. A working strategy is also essential. Before indulging Fibonacci numbers’ benefits into your trading strategies, make sure you understand the basics and necessities surrounding it.

#### Be knowledgeable

The stock market comes with its own risks and opportunities. Understanding what works and how it works will guide you on a path to trading success!

## The Beginning Of The Fibonacci Sequence

To comprehensively understand where Fibonacci sequence began and what elements led to its creation, we have to know first what a Fibonacci sequence is. Also, to subsequently understand and discuss the introduction of the Fibonacci sequence to the Western world, let us assess its components.

#### What Is the Fibonacci Sequence?

Fibonacci sequence is commonly associated with the forex, futures and stock market. But lets go-ahead to give it a definition for proper understanding.

#### Definition of Fibonacci Sequence

The Fibonacci sequence as the name denotes is a series based on a set of numbers which form a pattern for every succeeding number. We define the Fibonacci sequence as a set of numbers which begin with zero or one, succeeded by one. And follows the rule that every succeeding figure equals the summation of the two preceding numbers.

For example.

f(0) = 0,1,1,2,3,5,8,13,21,…

That is, taking f(n) as (n=0) also, the two initial numbers as 0 and 1 respectively.

Also, the Fibonacci sequence consists of figures known as Fibonacci numbers.

#### Where Did The Fibonacci Sequence Start?

The Fibonacci sequence is popularly associated with an Italian mathematician known as Leonard Pisano Bigollo, who lived between 1180-1250. This medieval mathematician also goes by the names Fibonacci and Leonardo Pisano, meaning “son of Bonacci” and being “from Pisa” respectively.

Leonardo was raised in the Northern region of Africa, which served as a commercial hub for trading activities in the Middle Ages. His father was from Pisa in Italy and was a businessman, at a time when being a merchantman was a very successful profession. During these booming decades of trade across Africa, Asia and Western Europe, Italians were one of the highly skilled merchants around.

With increased merchant and trade activities came the desire to record numerous transactions by businessmen. This led to the utilization of math to record commercial transactions. Therefore, Leonardo Fibonacci grew up around mathematical calculations and arithmetic.

Math was not an easy operation in this middle age as we have now. They had to base all their math on the Roman numeral system. And the Roman numeral did not easily calculate essential addition, multiplication, division, and subtraction. Therefore, math was strenuous using the Roman numeral.

Even though merchants required these necessary calculations to record business transactions, it was not comfortable utilizing the Roman numeral. This led to the creation of Fibonacci.

During his time in North Africa, Leonardo was able to acquire knowledge of the Hindu-Arabic system. This was the 1,2,3… arithmetical notation by the Arabs, which made calculation easier.

#### Introduction of Fibonacci Sequence

*Liber Abaci* emphasized the superiority of the Hindu-Arabic mathematical system to that of the Romans. In English, it means “book of the abacus” and was the book in the 13th century by which Leonardo Fibonacci shared his understanding with the world. The Liber Abaci was written by Fibonacci to enlighten the world on the arithmetical shortcomings of the Roman numeral system.

His book created popularity for the Hindu-Arabic math system and enlightened everyone on the impeding gains for Italian merchants in record keeping.

Essentially, the Fibonacci sequence arose from an arithmetical problem proposed by Leonardo’s famous book of the 13th century. The proposed problem was on the breeding of rabbits. It began with a female and a male rabbit. Then to determine the number of rabbits to be born per annum, it assumes that the male and female rabbits give birth to a new pair of rabbits every month. Subsequently, after one month, these new pair of rabbits begin to give birth to other new pairs.