Where the Fibonacci Ratios Come From
The Fibonacci sequence is a series of numbers where each is the sum of the two before it (0, 1, 1, 2, 3, 5, 8, 13, 21...). Dividing numbers in the sequence by their neighbors produces ratios that converge toward specific values — roughly 61.8%, 38.2%, and 23.6% — which traders apply to price charts as retracement and extension levels.
In trading, these ratios are applied as a tool for measuring how far price is likely to pull back within a trend (retracement) or extend beyond a prior move (extension), based on the idea that markets often reverse or pause near these specific proportional levels rather than at arbitrary points.
It's worth being direct about the theory's foundation: there's no rigorous causal mechanism proven for why these particular ratios should matter to price behavior — the case for using them rests on their widespread use by market participants (making them somewhat self-fulfilling) and on long-observed pattern tendencies, not on an underlying law of markets.