**By Carl Woodhouse**

Fibonacci technical analysis is the popular study of identifying potential high probability support and resistance levels in the future, based on past price trends and reversals. The most common Fibonacci tools that are used by traders on the charts of the financial markets are known as:

**Fibonacci Internal Retracements**

**Fibonacci External Retracements**

**Fibonacci Extensions**

**Fibonacci Time Ratios**

**Fibonacci Price Projections**

Fibonacci analysis is based on the mathematical discoveries of Leonardo Pisano also known as

Fibonacci, he was known in his time and is still recognized today as the “greatest European mathematician of the middle ages. He is credited with discovering a sequence of numbers that now bears his name the Fibonacci sequence. This is despite the sequence being described much earlier in ancientIndian mathematics.

Introduced to the West in his book Liber Abaci in 1202 the Fibonacci sequence is a series of numbers that progresses as follows,

**0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,89**

**0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,89**

To arrive at each subsequent number in the sequence, you simply add the two preceding numbers in the sequence. For example, to find the number that follows 89 in the sequence, you add 55 + 89 (**the two** **preceding numbers in the sequence**).

**The sum of 55 + 89 is 144. This is the next number in the sequence and so on.**

**0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610…..**

**0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610…..**

What Fascinated Fibonacci about this sequence was not just the numbers themselves, but rather the relationships among the numbers, or the ratios created by various numbers in the sequence. The most

important ratio is 1.618—also known as the golden ratio, or golden mean. This number can be found throughout nature, the universe and also the ancient world and throughout the Fibonacci sequence.

Each number in the Fibonacci sequence is 1.618 times larger than the preceding number.

**For example, 144 is 1.618 times larger than 89 (144 ÷ 89 = 1.618).**

There are many other ratios that can be derived from the Fibonacci sequence, these ratios are applied to the charts of financial markets by traders to help identify potential support and resistance areas. Most software charting packages will have Fibonacci drawing tools which will apply the ratios to a market with a few clicks of a mouse

In the world of technical analysis, the most common and widely used Fibonacci ratios to analyze financial charts are:

*Common Fibonacci Ratios*

*Common Fibonacci Ratios*

**Internal Retracements**

**0.236**

**0.382**

**0.500**

**0.618**

**0.786**

**0.886**

**External Retracements**

**1.128**

**1.272**

**1.618**

The ratios are split into two groups and will be utilized by traders depending on the type of analysis required.

**How are ratios derived from the Fibonacci sequence?**

The ratios derived from the Fibonacci sequence in many cases can be calculated in more than one way.

I have given you a few examples on how to arrive at some of the ratios, and I will leave it up to you to discover how to calculate the others. I have found that having a good understanding of how each ratio is derived and discovering ratios that are uncommon and not well known to the masses, can greatly improve your trading and give you an edge over other market participants.

This is because, many of these unknown ratios, act just as strongly as support and resistance to price action in all markets and all timeframes, as the more well-known ratios. At Trade Simple Trade Smart we use around 20 different ratios all derived from the Fibonacci sequence.

**The Ratios**

**The 23.6% ratio is found by dividing one number in the series by the number that is three places to the right. For example: 8/34 = 0.2352.**

**The 38.2% ratio is found by dividing one number in the series by the number that is found two places to the right. For example: 55/144 = 0.3819.**

**The 0.618 ratio is found by dividing one number in the series by the number found one place to the right. for example: 89/144 = 0.618**

**The 1.618 ratio is found by dividing the one number in the series by the number one place to the left. for example 34/21 = 55/34 = 01.618**

The rest I will leave in your capable hands…

**Conclusion**

Fibonacci analysis has become a very popular tool, to both new and professional traders, and is an integral part of the more advanced technical analysis, such as Elliot Wave and Harmonic Patterns. All traders should be aware of these powerful ratios even if only at a basic level. Learning how to apply Fibonacci internal and external retracements to charts in the correct way, and being aware of where the ratios sit in relation to a trend, correction or even a consolidation, can only help to assist a trader when looking for areas of support/demand or resistance/supply. Trade entry, exit, and management strategies can be built around this unique and powerful form of technical analysis.

**Find more great content check out below articles **

Trading With Fibonacci Part 2: Internal Retracements

Trading with Fibonacci Part 3: External Retracements

Stop Hunts & Market Manipulation

How To Create A Trading Master Plan

Day Trading Vs Swing Trading Vs Position Trading – Which One is Best?