This 13th Century Tool Can Make You Serious Money Today


Every once in a while I like to circle back to some of the great questions I get from you.

Today, I want to dive into one from Suzanne P., who wants to know if "Fibos" can help her make money in the markets.

In a word, yes. But, you've got to understand what "Fibo" analysis is and how it works to make it profitable….

The Mathematical Sequence That Shows Up Everywhere

"Fibo" is short for Fibonacci – as in, Leonardo Fibonacci. Born in Pisa, Italy, around 1170, he's considered by many to be the single most influential western mathematician of the Middle Ages. His 1202 book, Liber Abaci ("Book of Calculation"), remains instrumental to our understanding of mathematics to this day and is filled with examples that applied to money-changing, interest calculation, and commercial bookkeeping, for example.

Today we know Leonardo simply as "Fibonacci," which is same name given to a numerical series in his book that he did not discover but that he used as an example. Despite their reputation as being difficult or complex, in reality, Fibonacci numbers are easy to learn and easy to understand.

The sequence, if you're counting, looks like this… 1 1 2 3 5 8 13 21 34 55 and so on.

Right away you can see a pattern. One plus one equals two. One plus two equals three. Two plus three equals five. And so on.

But if you look closer, something else emerges. Every number in the series is approximately 0.618-to-1 in terms of its relationship to the number after it. This ratio never changes because the proportion remains the same.

This is important so don't lose that thought; we're going to come back to it in a minute.

What's simply amazing to me is that Fibonacci (and lots of scientists after him) have found Fibonacci numbers in nature. For example, the number of petals on flowers is often a Fibonacci number, as are the number of "cells" in a pineapple's skin. Pinecones, sunflowers, beehives… they all display Fibonacci's numbers or sequence in some way.

More amazingly, plant leaves are often arranged in spirals or shapes that, when counted, are found to be adjacent Fibonacci numbers. In fact, if you divide the arc they form along a vine, for example, the arc length angle ratio is equal to 137.5 degrees. The numbers are so consistent that the relationship is actually called the "Golden Ratio" or the "Golden Mean."

Mathematically, it looks like this, where the Greek letter phi represents the golden ratio:

Geometrically, if you draw it out, the Fibonacci ratio or "Golden Mean," if you prefer, looks like this…
13th century tool

These relationships can be found all over the place in the natural world in everything from dolphins' fin sections to the ratio between human forearms and hands. Even the cochlea in our inner ear is a "golden" spiral adhering to this set of proportions.

Fibonacci numbers and ratios can also be found – you guessed it – in the stock market.

Join the conversation. Click here to jump to comments…

About the Author

Keith Fitz-Gerald has been the Chief Investment Strategist for the Money Morning team since 2007. He's a seasoned market analyst with decades of experience, and a highly accurate track record. Keith regularly travels the world in search of investment opportunities others don't yet see or understand. In addition to heading The Money Map Report, Keith runs The Geiger Index, a reliable, emotion-free guide to making big money and avoiding losses, and Strike Force, which aims to get in, target gains, and get out clean. In his weekly Total Wealth, Keith has broken down his 30-plus years of success into three parts: Trends, Risk Assessment, and Tactics – meaning the exact techniques for making money. Sign up is free at

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  1. Brad M | May 14, 2014

    Interesting. I agree especialy with the statement about the stock market being the collective result of the psychological decisions of millions of traders. I think sometimes that very fact is often forgotten, and history shows just how much and how quickly enthusiasm or fear can drive given stocks far above or below their true intrinsic value. The Fibo system could work in trading, given some nice software and research time.

    • Keith Fitz-Gerald | May 15, 2014

      Thanks for your note Brad.

      I've found Fibonacci numbers and sequences to be an immensely rewarding puzzle over the years, especially when I am trying to get a gauge on key support and resistance levels in advance. In contrast to when I started and the only tools were very expensive custom made stuff, there's a lot available for free now in the various online packages. This puts Fibonacci analysis within reach for just about everybody.

      Best regards and thanks for being part of the Money Morning Family.

      Keith :-)

  2. aprov | May 15, 2014

    Interesting article. Well explained and written. But you neglected to include the most important piece of information. According to this same Fibo analysis, where is the market headed now? Regards.

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