Golden Ratio Multiplier
No predictive value
Bitcoin’s 350-day moving average is multiplied by a series of Fibonacci numbers, and the resulting bands are presented as levels at which cycle tops and intermediate highs occur.
- Price ÷ 350-day average
- Lowest band (1.6×)
- Second band (2×)
Our own calculation on Coin Metrics Community Data (BTC reference rate, daily, through 14 August 2026). Monthly maximum of price divided by the trailing 350-day simple moving average. The model draws seven bands from 1.6× to 21×; the two lowest are shown, because the last two cycle peaks did not reach them.
How it is built
One moving average, multiplied by 1.6, 2, 3, 5, 8, 13 and 21. The multipliers come from the Fibonacci sequence; nothing in the market determines them.
Our verdict
No predictive value. The underlying observation about diminishing cycle peaks is worth keeping; the numerology wrapped around it is not.
The record
Every line below is our own calculation on the public price series — reproducible where it is our own calculation, and linked to its primary source where it is quotation.
| When | What the chart says | What the data shows | Source |
|---|---|---|---|
| 2013-12 / 2017-12 | Cycle tops land on Fibonacci multiples of the 350-day average, the lowest of which is 1.6×. | Recomputed from daily prices, the 2013 top reached 8.1× and the 2017 top 5.6×. Real multiples — but each identified only once the top was already known. | Moonkelp’s own analysis |
| 2021-11-08 | The 2021 top should have reached one of the bands. | It reached 1.55× — below 1.6×, the lowest band the model contains. | Moonkelp’s own analysis |
| 2025-10-06 | The current cycle top should likewise have reached a band. | Bitcoin peaked at $124,824 with its 350-day average at $99,940 — a multiple of 1.25×, again beneath the lowest band. Two consecutive cycle tops fell outside the model’s entire range. | Moonkelp’s own analysis |
Why the method does not hold
01
There is no reason a market should respect Fibonacci numbers. The sequence is a mathematical curiosity, and no mechanism connects it to what buyers and sellers do.
02
Seven bands between 1.6× and 21× cover more than an order of magnitude. A forecast that wide is satisfied by almost any outcome, which is why it always appears to work.
03
The multipliers that “marked” previous tops were identified after those tops were known.
The strongest case for it
The defensible core is that cycle peaks have reached progressively lower multiples of the long-run average, which is a real and interesting observation about diminishing returns. That observation needs no Fibonacci numbers, and stating it plainly would cost the chart nothing but its mystique.
What to look at instead
The same overextension, measured against a trend rather than a sequence: the Mayer Multiple.
Questions
What is the Golden Ratio Multiplier?
Bitcoin’s 350-day moving average multiplied by a series of Fibonacci numbers — 1.6, 2, 3, 5, 8, 13 and 21 — with the resulting lines presented as levels where cycle highs occur.
Do the Fibonacci bands actually mark the tops?
Not in the last two cycles. Recomputed from daily prices, the November 2021 top reached 1.55 times the 350-day average and the October 2025 top 1.25 times — both below 1.6×, the lowest band in the model.
Why do the bands seem to work anyway?
Seven bands from 1.6× to 21× span more than an order of magnitude. A forecast that wide is compatible with nearly any outcome, so it is rarely seen to fail — and when price falls below the lowest band entirely, as it now has twice, that is not visible on the chart either.
Sources & method
Every figure on this page comes from one public price series and arithmetic anyone can repeat. Where a claim would need a source we could not verify, it is not on this page.
- Coin Metrics Community Network Data — BTC reference rate and hash rate, daily — the price and hash-rate series every figure on this page is computed from
- Moonkelp’s own analysis — the calculation itself — method described above, reproducible from the series
The other charts
Perspectives, not investment advice. This page criticises a method, not the people who publish it — and it says so where a construction does something real. How Moonkelp works
This study is reviewed quarterly; corrections normally ship within days. Corrections:contact@moonkelp.com