Fibonacci retracement draws horizontal levels between a swing high and a swing low at key percentages, 23.6%, 38.2%, 50%, 61.8% and 78.6%, to mark where a pullback might pause. Calculate exact levels with our Fibonacci calculator.
The ratios come from the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…), where each number is the sum of the two before it.
| Level | Origin |
|---|---|
| 23.6% | A number divided by the one three places higher (e.g. 21 ÷ 89) |
| 38.2% | A number divided by the one two places higher (e.g. 34 ÷ 89) |
| 50% | Not a Fibonacci ratio, but included because halfway pullbacks are widely watched |
| 61.8% | A number divided by the next one (e.g. 55 ÷ 89), the “golden ratio” inverse |
| 78.6% | The square root of 0.618 |
Uptrend level = High − (High − Low) × Ratio
Example: swing from $100 to $120. The 38.2% retracement is 120 − 20 × 0.382 = $112.36; 50% is $110; 61.8% is $107.64.
Fibonacci extensions project beyond the swing, commonly at 127.2%, 161.8% and 261.8%, and are used to mark possible targets. The calculator gives both retracements and extensions.
Results depend heavily on which swing you choose, and with five levels close together, price will often react near one of them by chance. Many traders look for a Fibonacci level that lines up with other support or resistance.
Use the Fib Retracement tool (Alt + F): click the first swing point, then the second. You can change, add or hide levels in its settings.
Educational explanation only. ChartWatch is independent and doesn’t give trading or investment advice. Trading carries a risk of loss.
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