Fibonacci Calculations in Elliott Wave Theory Analysis

Fibonacci Calculation in Elliott wave theory is all about calculating Fibonacci Retracements and Projection of Waves. This article is all about the use of  Fibonacci Ratios in Elliott Wave Analysis.

There are 8 main waves in Elliott Wave Cycle and every Wave has particular Fibonacci Projection or retracement and every Elliott Wave analyst must have understanding of wave’s calculations before understanding the patterns.

All the minimum and maximum limits of waves are calculated with the help of Fibonacci Ratios which further helps in calculating Low Risk Entry Levels, exact small stoploss and minimum targets for our trading and investment decisions.

Fibonacci Retracements used in Elliott Wave Theory

Fibonacci Retracement can be resembled with corrections. It is correction after completion of an Impulse and use for Corrective Waves. Retracements are used for wave (2), (4) and (B).

23.6%, 38.2%, 61.8%, 78.6% and 100%, is used for retracements and every Corrective wave has its own retracement limits.

  • Wave (2) retrace wave (1)
  • Wave (4) retrace wave (3)
  • Wave (B) retrace wave (A)

Fibonacci Projections used in Elliott Wave Theory

Fibonacci Projections we can resemble with Extensions. It is the extension after completion of Correction and are used to calculate minimum limit of an Impulse wave. Projections are used for Elliott wave (3), (5) and (C).

38.2%, 61.8%, 78.6%, 100%, 123.2%, 138.2%, 161.8% and higher are used for projections and every Impulse wave has its own projection limits.

  • Wave (3) projects with respect to (1)
  • Wave (5) projects with respect to total move till wave (3)
  • Wave (C) projects with respect to wave (A).

Categories of Fibonacci Retracements and Projections

I categorized Retracements and Projections in 4 different types which you need to understand before proceeding further.

I will be using these 4 categories of Fibonacci projections and retracements limits in this chapter while explaining Fibonacci calculations used in Elliott wave theory analysis.

Normal Fibonacci Retracement and Projections

The Normal retracements and projection are those which happen about 80% of the times. 

These are Fibonacci limits which we see most of the times and we always expect these normal projections and retracements during Elliott Wave Theory analysis.

Rare Retracements and Projections

The rare retracements and projection are those which happen about 20% of the times.

These are Fibonacci limits which we see rarely, so we normally avoid rare projections and retracements during Elliott wave analysis because we will be wrong only 20% of the times even if we avoid these rare projection/retracement limits.

Maximum Fibonacci Retracement Limit

It is the maximum retracement limit which a particular wave can achieve.

Retracements have maximum limit but it doesn’t have minimum limit, that’s why retracements are used to calculate low risk entry range and stoploss.

Minimum Fibonacci Projection Limit

It is the minimum projection limit which a particular Impulse wave has to achieve.

Projections has minimum limit but it doesn’t have maximum limit, that’s why projections are used to calculate targets.

Let me give example of Retracement and Projection by explaining Fibonacci retracement of wave 4 and Fibonacci projection of wave 5.

Fibonacci Retracement Limits for Elliott Wave 4

Fibonacci Retracement Limit of Elliott wave 4
Fibonacci Retracement Limit of Elliott wave 4 (Image 1)

Elliott Wave (4) retraces wave (3) normally by 23.6%-38.2%. Means 23.6%-38.2% is normal retracement limit for wave (4). Or we normally expect wave (4) to retrace 23.6%-38.2%.

We calculate 23.6%-38.2% Fibonacci retracement of wave (4) and subtract it from the end of wave (3) to get retracements for wave (4).

But there is no minimum limit of retracement for wave (4), it can be less than 23.6% and can even be as low as 10% in some cases.

Wave (4) can retrace more than 38.2% also in some cases but maximum limit of Fibonacci retracement for wave (4) is the end of wave (1). Means wave (4) can never break beyond the end of wave (1) or wave (4) can never overlap wave (1) within Impulse.

Note: Wave (4) can overlap wave (1) within “Diagonal Triangles” but this is separate case and I explained it separately in “Diagonal Triangles” Chapter.

Have a careful look at (Image 1)  to understand it visually.

Fibonacci Projection Limits for Elliott Wave 5

Fibonacci Projection for Elliott wave 5
Fibonacci Projection for Elliott Wave 5 (Image 2)

Fibonacci Projection for Elliott wave (5) is to be calculated with respect to total move from start of wave (1) to end of wave (3).

Means we take total move from (0) to (3), calculate 38.2%-61.8% of this total move and then add at the end of wave (4) to calculate projection of wave (5).

Wave (5) projects “minimum 38.2%” and must “complete beyond the end of wave (3)”. This is the minimum requirement for completion of wave (5) and both the conditions must meet.

38.2%-61.8% is normal Fibonacci projection limit for wave (5).

Wave (5) called as extended wave after projecting more than 61.8%.

There is no exact maximum limit of projection for wave (5) but we rarely see wave (5) projecting more than 100%.

Have a careful look at (Image 2) to understand it visually.

Using Fibonacci Calculations as Stoploss and Targets

There is “no minimum limit for Retracement” and “No maximum limit for Projection” of a wave.

But there is always “maximum limit for Retracement” and “Minimum Limit for Projection”.

That’s why we always take retracements as Stoploss because stoploss is always placed at maximum limit.

We always use Fibonacci Projections for Targets because minimum limits of wave is best suitable for targets.

Fibonacci ratios can be used best only with combination of Elliott Waves because Every wave has its particular Fibonacci Calculations limits and you can use it accurately if you can identify the wave in progress.

Using Fibonacci Ratios without Elliott Wave still works to some extent is just a guess work.

“Fibonacci Calculations” are used for calculating probable limits of Elliott waves but “Elliott Wave Patterns” are equally important in Elliott Wave Theory Analysis because we need to have idea of accurate pattern for accurate Fibonacci Calculations.

Download Sweeglu Fibonacci Calculator to calculate Fibonacci Retracements and Projections easier and fasterm

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Practical Application of Elliott Wave Principle
Deepak Kumar, Elliott Wave Theory Analyst

About Deepak Kumar

An independent Elliott Wave Theory analyst, trainer and trader. Analyzing Indian Indices and stocks since 2011. Founder of “Sweeglu Elliott Waves” and author of most practical book on Elliott Wave Theory, “Practical Application of Elliott Wave Principle”

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