Best of the Week
Most Popular
1. US Housing Market House Prices Bull Market Trend Current State - Nadeem_Walayat
2.Gold and Silver End of Week Technical, CoT and Fundamental Status - Gary_Tanashian
3.Stock Market Dow Trend Forecast - April Update - Nadeem_Walayat
4.When Will the Stock Market’s Rally Stop? - Troy_Bombardia
5.Russia and China Intend to Drain the West of Its Gold - MoneyMetals
6.BAIDU (BIDU) - Top 10 Artificial Intelligence Stocks Investing To Profit from AI Mega-trend - Nadeem_Walayat
7.Stop Feeding the Chinese Empire - ‘Belt and Road’ Trojan Horse - Richard_Mills
8.Stock Market US China Trade War Panic! Trend Forecast May 2019 Update - Nadeem_Walayat
9.US China Trade Impasse Threatens US Lithium, Rare Earth Imports - Richard_Mills
10.How to Invest in AI Stocks to Profit from the Machine Intelligence Mega-trend - Nadeem_Walayat
Last 7 days
China Hang Seng Stocks Index Collapses and Commodities - 24th May 19
Costco Corp. (COST): Finding Opportunity in Five Minutes or Less - 24th May 19
How Free Bets Have Impacted the Online Casino Industry - 24th May 19
This Ultimate Formula Will Help You Avoid Dividend Cutting Stocks - 24th May 19
Benefits of a Lottery Online Account - 24th May 19
Technical Analyst: Gold Price Weakness Should Be Short Term - 24th May 19
Silver Price Looking Weaker than Gold - 24th May 19
Nigel Farage's Brexit Party EU Elections Seats Results Forecast - 24th May 19
Powerful Signal from Gold GDX - 24th May 19
Eye Opening Currency Charts – Why Precious Metals Are Falling - 23rd May 19
Netflix Has 175 Days Left to Pull Off a Miracle… or It’s All Over - 23rd May 19
Capitalism Works, Ravenous Capitalism Doesn’t - 23rd May 19
The Euro Is Bidding Its Time: A Reversal at Hand? - 23rd May 19
Gold Demand Rose 7% in Q1 2019. A Launching Pad Higher for Gold? - 23rd May 19
Global Economic Tensions Translate Into Oil Price Volatility - 22nd May 19
The Coming Pension Crisis Is So Big That It’s a Problem for Everyone - 22nd May 19
Crude Oil, Hot Stocks, and Currencies – Markets III - 22nd May 19
The No.1 Energy Stock for 2019 - 22nd May 19
Brexit Party and Lib-Dems Pull Further Away from Labour and Tories in Latest Opinion Polls - 22nd May 19
The Deep State vs Donald Trump - US vs Them Part 2 - 21st May 19
Deep State & Financial Powers Worry about Alternative Currencies - 21st May 19
Gold’s Exciting Boredom - 21st May 19
Trade War Fears Again, Will Stocks Resume the Downtrend? - 21st May 19
Buffett Mistake Costs Him $4.3 Billion This Year—Here’s What Every Investor Can Learn from It - 21st May 19
Dow Stock Market Trend Forecast 2019 May Update - Video - 20th May 19
A Brief History of Financial Entropy - 20th May 19
Gold, MMT, Fiat Money Inflation In France - 20th May 19
WAR - Us versus Them Narrative - 20th May 19
US - Iran War Safe-haven Reasons to Own Gold - 20th May 19
How long does Google have to reference a website? - 20th May 19
Tory Leadership Contest - Will Michael Gove Stab Boris Johnson in the Back Again? - 19th May 19
Stock Market Counter-trend Rally - 19th May 19
Will Stock Market “Sell in May, Go Away” Lead to a Correction… or a Crash? - 19th May 19
US vs. Global Stocks Sector Rotation – What Next? Part 1 - 19th May 19
BrExit Party EarthQuake Could Win it 150 MP's at Next UK General Election! - 18th May 19
Dow Stock Market Trend Forecast 2019 May Update - 18th May 19
US Economy to Die a Traditional Death… Inflation Is Going to Move Higher - 18th May 19
Trump’s Trade War Is Good for These 3 Dividend Stocks - 18th May 19
GDX Gold Mining Stocks Fundamentals Update - 17th May 19
Stock Markets Rally Hard – Is The Volatility Move Over? - 17th May 19
The Use of Technical Analysis for Forex Traders - 17th May 19
Brexit Party Set to Storm EU Parliament Elections - Seats Forecast - 17th May 19
Is the Trade War a Catalyst for Gold? - 17th May 19
This Is a Recession Indicator No One Is Talking About—and It’s Flashing Red - 17th May 19
War! Good or Bad for Stocks? - 17th May 19
How Many Seats Will Brexit Party Win - EU Parliament Elections Forecast 2019 - 16th May 19

Market Oracle FREE Newsletter

U.S. House Prices Analysis and Trend Forecast 2019 to 2021

Fibonacci in Nature: The Golden Ratio and the Golden Spiral

InvestorEducation / Learn to Trade Oct 11, 2012 - 12:30 PM GMT

By: EWI

InvestorEducation

Best Financial Markets Analysis ArticleIf you've studied the financial markets, even for a short time, you've probably heard the term "Fibonacci numbers." The ratios and relationships derived from this mathematical sequence are applied to the markets to help determine targets and retracement levels.

Did you know that Fibonacci numbers are found in nature as well? In fact, we can see examples of the Fibonacci sequence all around us, from the ebb and flow of ocean tides to the shape of a seashell. Even our human bodies are examples of Fibonacci. Read more about the fascinating phenomenon of Fibonacci in nature.


Let's start with a refresher on Fibonacci numbers. If we start at 0 and then go to the next whole integer number, which is 1, and add 0 to 1, that gives us the second 1. If we then take that number 1 and add it again to the previous number, which is of course 1, we have 1 plus 1 equals 2. If we add 2 to its previous number of 1, then 1 plus 2 gives us 3, and so on. 2 plus 3 gives us 5, and we can do this all the way to infinity. This series of numbers, and the way we arrive at these numbers, is called the Fibonacci sequence. We refer to a series of numbers derived this way as Fibonacci numbers.

We can go back to the beginning and divide one number by its adjacent number - so 1�1 is 1.0, 1�2 is .5, 2�3 is .667, and so on. If we keep doing that all the way to infinity, that ratio approaches the number .618. This is called the Golden Ratio, represented by the Greek letter phi (pronounced "fie"). It is an irrational number, which means that it cannot be represented by a fraction of whole integers. The inverse of .618 is 1.618. So, in other words, if we carry the series forward and take the inverse of each of these numbers, that ratio also approaches 1.618. The Golden Ratio, .618, is the only number that will also be equal to its inverse when added to 1. So, in other words, 1 plus .618 is 1.618, and the inverse of .618 is also 1.618.

This is a diagram of the Golden Spiral. The Golden Spiral is a type of logarithmic spiral that is made up of a number of Fibonacci relationships, or more specifically, a number of Golden Ratios. For example, if we take a specific arc and divide it by its diameter, that will also give us the Golden Ratio 1.618. We can take, for example, arc WY and divide it by its diameter of WY. That produces the multiple 1.618. Certain arcs are also related by the ratio of 1.618. If we take the arc XY and divide that by arc WX, we get 1.618. If we take radius 1 (r1), compare it with the next radius of an arc that's at a 90° angle with r1, which is r2, and divide r2 by r1, we also get 1.618.

Now here are some pictures of this Golden Spiral in various aspects of nature. For example, on the left is a whirlpool that displays the Golden Spiral and, therefore, these Fibonacci mathematical properties. We also see the Golden Spiral in the formation of hurricanes (center) and in the chambered nautilus shell (right), which also happens to be a common background that Elliott Wave International uses for a number of its presentations and graphics.

We can also see the Golden Ratio in the DNA molecule. Research has shown that if you look at the height of the DNA molecule relative to its length, it is in the proportion of .618:1. If we look at the components of the DNA molecule, there is a major groove in the left section and a minor groove in the right section. The major groove is equal to .618 of the entire length of the DNA molecule, and the minor groove is equal to .382 of the entire length.

This graphic of the human body also shows how the Golden Ratio exists in certain relationships of the human anatomy.


Learn How You Can Use Fibonacci to Improve Your Trading

If you'd like to learn more about Fibonacci and how to apply it to your trading strategy, download the entire 14-page free eBook, How You Can Use Fibonacci to Improve Your Trading.

EWI Senior Tutorial Instructor Wayne Gorman explains:

  • The Golden Spiral, the Golden Ratio, and the Golden Section
  • How to use Fibonacci Ratios/Multiples in forecasting
  • How to identify market targets and turning points in the markets you trade
  • And more!

See how easy it is to use Fibonacci in your trading. Download your free eBook today >>

Best Regards,

About the Publisher, Elliott Wave International
Founded in 1979 by Robert R. Prechter Jr., Elliott Wave International (EWI) is the world's largest market forecasting firm. Its staff of full-time analysts provides 24-hour-a-day market analysis to institutional and private investors around the world.


© 2005-2019 http://www.MarketOracle.co.uk - The Market Oracle is a FREE Daily Financial Markets Analysis & Forecasting online publication.


Post Comment

Only logged in users are allowed to post comments. Register/ Log in

6 Critical Money Making Rules