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Intermediate3 min readTechnical Indicators · 15/16

Fibonacci Retracement Levels

After a stock climbs a big wave, it often gives back part of it. Fibonacci levels are a common way of dividing that wave into fixed ratios, to describe how much of it price has given back.

What you will learn

  • Calculate Fibonacci levels on a price wave, in numbers.
  • Know the common ratios, and which of them is not a Fibonacci ratio at all.
  • See why the levels depend on where you choose the wave to start and end.
The lesson as a short video · 24 seconds · Watch on YouTube
In this lesson

The common ratios

The ratios most often used are 23.6%, 38.2%, 50% and 61.8%, sometimes 78.6%. Most come from mathematical relationships within a number series called the Fibonacci sequence. 50% is not a Fibonacci ratio, but it is placed alongside the others because it is the wave's midpoint and many people watch it.

The calculation on a wave

Worked exampleAn invented stock rose from 10.00 to 15.00, a wave of EGP 5.00. Each level = the top − (the wave × the ratio). The 38.2% level = 15.00 − 5.00 × 0.382 = 13.09. The 50% level = 15.00 − 2.50 = 12.50. The 61.8% level = 15.00 − 3.09 = 11.91. If price pulls back to 12.60, it has given back about 48% of the wave.
0% · 15.00
23.6% · 13.82
38.2% · 13.09
50% · 12.50
61.8% · 11.91
100% · 10.00
A wave from 10 to 15, with price pulling back to near the 50% level.

The levels depend on your choice

Every level is calculated from two points you choose: the start and end of the wave. If someone else decides the wave began at 10.50 rather than 10.00, their 61.8% level becomes 15.00 − 4.50 × 0.618 ≈ 12.22, not 11.91. Same stock, same chart, different levels.

And with five levels close together, price will usually be near one of them at any given moment. So if price pauses at a level, it may be coincidence, or it may be because many people watch the same number. Neither is guaranteed.

Watch outFibonacci levels are not floors price must bounce off, and they carry no special power because of the mathematics behind them. They are a way to describe a pullback as a share of the wave.

Draw the wave yourself

Open any stock chart on FoudaLens, use the Fibonacci tool on the last clear wave, then move the starting point and see how far the levels shift.

Check yourself

1. A wave from 20 to 30. Where is the 50% level?

30 − 10 × 0.5 = 25.

2. Why can two people draw different Fibonacci levels on the same stock?

The levels are calculated from two points the user picks.

Summary

  • Each level = top − (wave × ratio); the common ratios are 23.6%, 38.2%, 50% and 61.8%.
  • The levels depend on the two points you chose for the wave.
  • They describe the size of a pullback, not a certain floor for price.

Related terms

Related lessons

Educational content only, not investment advice. Companies and figures in the examples are invented for illustration.