Curriculum·S203 Chart Literacy and Evidence·about 30 min
Fibonacci, honestly
By the end of this lesson you can
- →State where the ratios come from and which of the common levels is not one
- →Count the choices required to place a retracement, and locate where the subjectivity sits
- →Report the state of the evidence accurately, including how thin it is and what the one test cited here found
- →Decide whether to use the tool for the only reason that survives scrutiny
Sophomore · enrolled learners
This lesson opens with The evidence base that was barely built.
- What happened
- Fibonacci retracement is among the most widely used tools in technical analysis, and systematic tests of it are rare. One, by Tsinaslanidis, Guijarro and Voukelatos in Expert Systems with Applications (volume 187, 2022, online in 2021), identified Fibonacci retracements automatically across three equity markets, built zones around the levels, and compared price behavior there with behavior at zones that were not Fibonacci levels. It found that price behavior on Fibonacci and non-Fibonacci zones did not differ statistically.
- The decision point
- Every other technique in this course has been tested and produced a result, in one direction or the other. Support and resistance was tested and carried content. Head-and-shoulders was tested and its practitioners lost money. Moving average rules were tested, then re-tested with the search priced in, and the performance disappeared. Fibonacci has been drawn on hundreds of millions of charts, and when researchers built a systematic test, its levels behaved no differently from other levels. The finding is that the name added nothing.
What you will be able to answer
- →Where do the ratios come from, and which one is not a Fibonacci ratio?
- →Where does the subjectivity in a retracement sit?
- →What is the state of the evidence?
- →What is the only reason to use it that survives?
Orientation and Year One are open: anyone can read them without an account. From Year Two onward the lessons are for enrolled learners, because progress through the later years only means anything if it is tracked against a record.
It is free. We do not sell the list and there is nothing to buy at the end of it.
Sources and review
- https://www.sciencedirect.com/science/article/abs/pii/S0957417421012495
- https://www.newyorkfed.org/research/staff_reports/sr42.html
- https://www.newyorkfed.org/research/epr/00v06n2/0007osle.html
- https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-6419.2007.00519.x
- https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2308659
- https://mathworld.wolfram.com/GoldenRatio.html
Confidence low·Volatility low·Reviewed 2026-08-05·Owner unassigned
Contested
The description of the evidence as thin is this course's, not the result of an exhaustive survey, and some studies exist that report positive results. The test cited is one paper on three equity markets, and its result is a lack of difference between Fibonacci and other zones rather than a finding that the levels never hold. We could not read the paper's full text, so the lesson relies on its published highlights for the result.
This lesson is marked low confidence. One negative test is not a settled verdict, and the honest position is that the evidence is thin and, where we have it, shows no Fibonacci edge. Do not let a revision turn that into either a proven failure or an untested blank.