We will be using **Fibonacci ratios** a lot in our trading so you better learn it and love it like your mother’s home cooking.

Fibonacci is a huge subject and there are many different Fibonacci studies with weird-sounding names but we’re going to stick to two: **retracement** and **extension**.

Let us first start by introducing you to the Fib man himself…Leonardo Fibonacci.

No, Leonardo Fibonacci isn’t some famous chef. Actually, he was a famous Italian mathematician, also known as a super-duper uber ultra geek.

He had an “Aha!” moment when he discovered a simple series of numbers that created ratios describing the natural proportions of things in the universe.

The ratios arise from the following number series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…

This series of numbers is derived by starting with 0 followed by 1 and then adding 0 + 1 to get 1, the third number.

Then, adding the second and third numbers (1 + 1) to get 2, the fourth number, and so on.

After the first few numbers in the sequence, if you measure the **ratio** of any number to the succeeding higher number, you get **.618**.

For example, 34 divided by 55 equals .618.

If you measure the ratio between alternate numbers you get **.382**.

For example, 34 divided by 89 = 0.382 .

You have now just experienced the Fibonacci Sequence!

A **Fibonacci sequence** is formed by taking 2 numbers, any 2 numbers, and adding them together to form a third number.

Then the second and third numbers are added again to form the fourth number.

And you can continue this until it’s not fun anymore.

The ratio of the last number over the second-to-the-last number is approximately equal to** 1.618**.

This ratio can be found in many natural objects, so this ratio is called the **golden ratio**.

It appears many times in geometry, art, architecture, and even on Sonic the Hedgehog.

The golden ratio is actually an irrational number, like pi, and is often denoted by the Greek letter, **phi** (**φ**).

Okay that’s enough mumbo jumbo.

With all those numbers, you could put an elephant to sleep. We’ll just cut to the chase; these are the ratios you HAVE to know:

0.236, 0.382, 0.618, 0.764

0, 0.382, 0.618, 1.000, 1.382, 1.618

You won’t really need to know how to calculate all of this. Your charting software will do all the work for you. Besides, we’ve got a nice __ Fibonacci calculator__ that can magically calculate those levels for you.

However, it’s always good to be familiar with the basic theory behind the indicator so you’ll have the knowledge to impress your date.

Fibonacci retracement levels work on the theory that after a big price moves in one direction, the price will *retrace* or return partway back to a previous price level before resuming in the original direction.

Traders use the Fibonacci retracement levels as potential **support and resistance areas**.

Since so many traders watch these same levels and place buy and sell orders on them to enter trades or place stops, the support and resistance levels tend to become a self-fulfilling prophecy.

Traders use the Fibonacci extension levels as **profit taking levels**.

Again, since so many traders are watching these levels to place buy and sell orders to take profits, this tool tends to work more often than not due to self-fulfilling expectations.

Most charting software includes both Fibonacci retracement levels and extension level tools.

In order to apply Fibonacci levels to your charts, you’ll need to identify Swing High and Swing Low points.

A **Swing High** is a candlestick with at least *two lower highs * on both the left and right of itself.

A **Swing Low** is a candlestick with at least *two higher lows* on both the left and right of itself.

You got all that? Don’t worry, we’ll explain retracements, extensions, and most importantly, how to grab some pips using the Fibonacci tool in the following lessons.

Lesson 6: What is a Japanese Candlestick? Lesson 7 :Japanese Candlestick Anatomy Lesson 8:Basic Japanese Candlestick Patterns Lesson 9: Single Candlestick Patterns Lesson 10: Dual Candlestick Patterns Lesson 11: Triple Candlestick Patterns Lesson 12:Japanese Candlestick Cheat Sheet Lesson 13: Candlesticks with Support and Resistance Lesson 14: Common Mistakes That New Traders Make With Japanese Candlesticks Lesson 15: Summary: Japanese Candlesticks

Lesson 16 : Fibonacci Trading Lesson 17: How to Use Fibonacci Retracements Lesson 18: Fibonacci Retracements are NOT Foolproof Lesson 19: How to Use Fibonacci Retracement with Support and Resistance Lesson 20: How to Use Fibonacci Retracement with Trend Lines Lesson 21: How to Use Fibonacci Retracement with Japanese Candlesticks Lesson 22: How to Use Fibonacci Extensions to Know When to Take Profit Lesson 23: How to Use Fibonacci to Place Your Stop so You Lose Less Money Lesson 24: Summary: Fibonacci Trading

Lesson 25: What Are Moving Averages? Lesson 26: Simple Moving Average (SMA) Explained Lesson 27: Exponential Moving Average (EMA) Explained Lesson 28: Simple vs. Exponential Moving Averages Lesson 29: How to Use Moving Averages to Find the Trend Lesson 30: How to Use Moving Average Crossovers to Enter Trades Lesson 31: How to Use Moving Averages as Dynamic Support and Resistance Levels Lesson 32: How to Use Moving Average Envelopes Lesson 33: How to Analyze Trends With Moving Average Ribbons Lesson 34: How to Trend Trade with Guppy Multiple Moving Average (GMMA) Lesson 35: Summary: Using Moving Averages

Lesson 36: How to Use Bollinger Bands Lesson 38: How to Use the MACD Indicator Lesson 37: How to Use Keltner Channels Lesson 39: How to Use Parabolic SAR Lesson 40: How to Use the Stochastic Indicator Lesson 41: How to Use RSI (Relative Strength Index) Lesson 42: How to Use Williams %R (Williams Percent Range) Lesson 43: How to Use ADX (Average Directional Index) Lesson 44: Ichimoku Kinko Hyo Lesson 45: Trading with Multiple Chart Indicators Lesson 46: What is the Best Technical Indicator in Forex? Lesson 47: Summary: Popular Chart Indicators