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Fibonacci Retracement Levels, and What Do They Tell You?

File Photo: Fibonacci Retracement Levels, and What Do They Tell You?
File Photo: Fibonacci Retracement Levels, and What Do They Tell You? File Photo: Fibonacci Retracement Levels, and What Do They Tell You?

What Is the Definition of Fibonacci Retracement Levels?

Fibonacci retracement levels—horizontal lines—indicate support and resistance.

Each level has a percentage. Price has retraced a proportion of a previous move. Fibonacci retracements are 23.6%, 38.2%, 61.8%, and 78.6%. Although not a Fibonacci ratio, 50% is employed.

The indicator is valuable since it may be drawn between two critical price points, including highs and lows. The indicator creates levels between those two positions. Suppose a stock climbs $10 and falls $2.36. That means it retraced 23.6%, a Fibonacci number. Nature contains Fibonacci numbers. Therefore, many traders feel these data are relevant in financial markets.

In honor of Italian mathematician Leonardo Pisano Bigollo, Fibonacci retracement levels were called. Fibonacci did not design the sequence. Fibonacci learned these numbers from Indian traders and brought them to Western Europe. Ancient Indians created Fibonacci retracement levels between 450 and 200 BCE.

Ancient India invented numbers.

Its namesake did not create the Fibonacci sequence. Indian mathematicians invented and employed it centuries before Leonardo Fibonacci brought it to Europe.

Acarya Virahanka, an Indian mathematician, invented Fibonacci numbers and their sequencing in approximately 600 A.D. Later, Indian mathematicians like Gopala, Hemacandra, and Narayana Pandita cited Virahanka’s numbers and approach. Pandita linked Fibonacci numbers to multinomial coefficients to increase their utility.

Indians may have used Fibonacci numbers as early as 200 B.C.

The Fibonacci Retracement Formula

Formulas for Fibonacci retracement levels are unavailable. Users pick two points when applying these indicators to charts. The lines are drawn at percentages of that motion once those two spots are selected.

Retracement indication points are $10 and $15, assuming the price climbs from $10 to $15. Hence, the 23.6% threshold is $13.82 ($15 – ($5 × 0.236) = $13.82). The 50% threshold is $12.50 ($15 – ($5 × 0.5) = $12.50).

Calculating Fibonacci Retracement Levels

No calculation is needed for Fibonacci retracement levels. They are percentages of the given price range.

However, Fibonacci numbers’ origins are intriguing. They follow the Golden Ratio. Begin a series with zero and one. Continue adding the previous two numbers to create this number string:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987…indefinitely.

This number string generates all Fibonacci retracement levels. Dividing one number by the next provides 0.618, or 61.8% when the series starts. Divide an integer by its right-hand complement to get 0.382, or 38.2%. Some mathematical calculations utilizing this number string underpin all ratios except 50% (which is not a Fibonacci number).

Sunflowers, galaxy formations, shells, ancient objects, and architecture have a Golden Ratio of 0.618 or 1.618.

Fibonacci Extensions vs. Retracements

Fibonacci extensions apply percentages to trending moves, whereas retracements apply to pullbacks. Some stocks jump from $5 to $10, then down to $7.50. Retracement from $10 to $7.50 An extension occurs if the price rallies to $16.

Fibonacci Retracement Level Limitations

Retracement levels suggest where the price may find support or resistance, but they do not guarantee it. This is why other confirmation indications, like price bouncing off the level, are employed.

The third argument against Fibonacci retracement levels is that there are so many that prices routinely revert around them. Traders struggle to determine which is beneficial at any given time. When it fails, the trader might say they should have looked at another Fibonacci retracement level.

Why are Fibonacci retracements significant?

Technical analysis uses Fibonacci retracement levels to predict stock reversals and stalls. Numbers like 23.6%, 38.2%, and 50% are standard. These usually occur between a security’s peak and low points to foretell its price movement.

What are Fibonacci ratios?

These ratios are generated from the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, etc. Here, each number is the sum of the two before it. Calculations in this formula inform Fibonacci ratios. The resulting ratios are 23.6%, 38.2%, 50%, 61.8%, 78.6%, 100%, 161.8%, 261.8%, and 423.6%. Although not an actual Fibonacci ratio, 50% is employed as a support and resistance indication.

How should retracement levels based on the Fibonacci sequence be applied in a chart?

One of the most prevalent technical trading tactics is using Fibonacci retracement levels to begin trades. A trader notes that the stock fell 38.2% following strong momentum. The stock starts rising, so they trade. Because the stock achieved a Fibonacci level, traders may buy it, hoping it will recover its losses.

How do you draw Fibonacci retracements?

Charted Fibonacci retracements are trend lines between two significant points, generally absolute lows and highs. Horizontal lines intersect at Fibonacci levels.

Final Thought

Fibonacci retracements help traders find support and resistance. Traders can place orders, create stop-losses, and set price goals using the data. Fibonacci retracements are essential, but traders use additional indicators to analyze trends and make trading choices properly.


  • Traders use Fibonacci retracement levels to link two key points, usually high and low.
  • The price may halt or reverse at certain percentage levels.
  • The most widely used ratios are 23.6%, 38.2%, 50%, 61.8%, and 78.6%.
  • Using Fibonacci levels alone is risky, so don’t assume the price will revert after hitting one.
  • Indian mathematicians employed Fibonacci numbers and sequencing millennia before Leonardo.

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