Concept
Fibonacci Retracement
Fibonacci retracement divides the distance between a chosen low and high into proportions — commonly 23.6%, 38.2%, 50%, 61.8% and 78.6% — and draws horizontal lines at those prices.
How it is calculated
How to read it
- The levels are pure arithmetic once the two swing points are chosen. All the judgement sits in choosing them.
- 61.8% derives from the golden ratio and 38.2% from its square. 50% is not a Fibonacci ratio at all — it is included by convention.
- The lines mark proportions of a completed move. They describe geometry, not behaviour.
Why two traders get different levels
An index runs from 21,850 to 22,900. One trader anchors the retracement at the intraday low of 21,850; another anchors at the closing low of 21,960. The 61.8% level lands at 22,251 for the first and at 22,320 for the second — a 69-point difference on an instrument where that is a meaningful distance. Price then turns at 22,290, between the two. Both traders can reasonably claim their level worked approximately. This is not a contrived case; it is the normal situation, and it is why claims about Fibonacci accuracy are difficult to evaluate.
What it does not tell you
- Swing point selection is entirely subjective, and different choices produce completely different level sets from the same chart. This is the central weakness.
- With five or more levels drawn across a range, price is usually near one of them, which makes retrospective "it respected the 61.8%" claims easy to make and hard to falsify.
- There is no established mechanism by which these particular proportions would influence prices beyond the fact that many participants watch them.
Common settings
23.6, 38.2, 50, 61.8 and 78.6 percent are the standard set. Extensions beyond 100% are used to project targets, with the same subjectivity.
Frequently asked questions
How do you calculate Fibonacci retracement levels?
Take the vertical distance between a chosen swing low and swing high, multiply it by each ratio, and subtract from the high (for an advance). The arithmetic is trivial; choosing the two swing points is the subjective part.
Why is 61.8% considered important?
It derives from the golden ratio, which appears in various natural growth patterns. Whether that has any bearing on market prices is not established — its prominence in trading comes from convention and widespread attention.
Is 50% a Fibonacci level?
No. It is not derived from the Fibonacci sequence at all. It is included in the standard set by convention because a half retracement is an intuitive reference point.
Do Fibonacci levels actually work?
They are difficult to test because the swing points are chosen by the observer and several levels span any given range, so price is usually close to one. Any level watched by many participants can see activity cluster there, which is a self-referential effect rather than evidence of the ratios themselves.
Related
- Support and Resistance — Concept
- Trendlines: Types and How They Are Drawn — Concept
- Trend Structure: Higher Highs and Lower Lows — Concept
Educational use only
This page is educational material about how a technical tool is calculated and read. It is not investment advice, not a recommendation to buy or sell anything, and not a signal service. No indicator predicts future prices. CernoQuant is a trading journal and analytics platform, not a SEBI-registered investment adviser. Trading decisions and their outcomes are yours alone.
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