Fibonacci Retracement Calculator
Enter a swing high and swing low to get the Fibonacci retracement levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) and extension targets (127.2%, 161.8%, 261.8%) for an uptrend or downtrend.
How it works
Range = swing high − swing low · uptrend: retracement = high − range × ratio, extension = low + range × ratio · downtrend: retracement = low + range × ratio, extension = high − range × ratio · ratios 23.6%, 38.2%, 50%, 61.8%, 78.6%; extensions 127.2%, 161.8%, 261.8%
Fibonacci retracements mark how much of a completed move price might give back before the trend resumes. The ratios come from the Fibonacci sequence: 61.8% is the golden ratio (each number ÷ the next), 38.2% is a number ÷ the one two places later and 23.6% three places later; 50% and 78.6% (√0.618) are added by convention. Traders watch these levels for pullback entries and use the 127.2% and 161.8% extensions as profit targets. They are a widely followed charting convention, not a law of price behaviour, so combine them with other evidence.
Worked example
In an uptrend from a swing low of 100 to a swing high of 150 the range is 50. The 38.2% retracement is 150 − 50 × 0.382 = 130.90, the 50% level 125.00 and the 61.8% level 150 − 30.90 = 119.10. The 161.8% extension target is 100 + 50 × 1.618 = 180.90.
Sources: Investopedia — Fibonacci Retracement Levels · StockCharts ChartSchool — Fibonacci Retracements
Frequently asked questions
Which Fibonacci level is the most important?
The 61.8% “golden” retracement is the most watched, followed by 38.2% and 50%. A pullback that holds above 38.2% suggests a strong trend; one that breaks below 78.6% often means the move has failed.
How do I pick the swing high and swing low?
Use the clear turning points of the move you are measuring — the lowest low and highest high of the impulse on the time frame you trade. Different swings give different levels, which is why traders look for confluence with support, resistance or moving averages.
What is the difference between retracement and extension?
Retracements lie inside the move and estimate where a pullback may stop. Extensions lie beyond the move and estimate how far the next leg could travel once the trend resumes.
Is 50% a Fibonacci ratio?
Not strictly — it does not come from the sequence — but it is included because markets often retrace about half of a move, an idea from Dow theory.
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Educational estimate, not investment, trading or tax advice. Brokers, exchanges and data providers use their own conventions, fees and figures — confirm with your broker, the exchange’s documentation or a licensed adviser before acting.