What is Fibonacci extension?
Fibonachchi kengaytmasi
In short
Points at 127.2% or 161.8% of the impulse length — profit targets beyond the prior high. For an $80 → $100 impulse, 1.272 = $105.44 and 1.618 = $112.36.
Also known as: extension, 1.272, 1.618
A Fibonacci extension marks points at 127.2% or 161.8% of the impulse length. Where a Fibonacci retracement answers "how far might price pull back?", an extension gives a reference for "how far might price run beyond the prior high?". That is why it is mainly used to set take-profit targets.
Formula (for an upward impulse)
Let A be the start of the impulse and B its high:
- 127.2% = A + (B − A) × 1.272
- 161.8% = A + (B − A) × 1.618
Some platforms use a 3-point method (impulse plus pullback low), which gives slightly different numbers, so know which method your tool uses.
Why it helps
Once price makes a new high there are no resistance levels to the left, so setting a target "by eye" gets hard. Extension levels fill that gap and give natural stages for scaling out: the first part at 127.2%, the rest at 161.8%.
Limitations
These levels are probabilistic references, not promises. Price may fall short of 127.2% or run well past 161.8%. When choosing a target, also look at nearby round numbers and higher-timeframe levels.
The same $80 → $100 impulse. Stretching the tool from the low to the high puts the 1.272 ($105.44) and 1.618 ($112.36) levels above the high. Price paused at $105.6, then reached $112.5 and pulled back again.
Example
An illustrative stock rallied from $40 to $60 (a $20 impulse), then pulled back to $52.
- 127.2%: $40 + $20 × 1.272 = $40 + $25.44 = $65.44.
- 161.8%: $40 + $20 × 1.618 = $40 + $32.36 = $72.36.
The trader entered at $52 with a stop at $48 (risk $4). First target $65.44: a $13.44 gain = +3.36R. Second target $72.36: a $20.36 gain ≈ +5.09R. Closing half at each target gives an average of about +4.2R ((3.36 + 5.09) ÷ 2 ≈ 4.23).
Mistakes and tips
Apply extensions only to a clear impulse; an "impulse" measured from sideways chop gives meaningless targets.
You don't have to hold the whole position to 161.8% — taking part off at 127.2% eases both risk and nerves.
Place the target slightly before a nearby round number ($65, $70): that's where many people sell.
Frequently asked questions
- What is the difference between Fibonacci extension and retracement?
- Retracement shows pullback levels inside the impulse (38.2%, 50%, 61.8%); extension shows targets outside it, above the prior high (127.2%, 161.8%).
- What do traders do when price reaches the 1.618 extension?
- Many close most of the position there or tighten the stop. A further move needs a new structure and fresh evidence.
Learn it in the Academy
This term is covered with hands-on examples and a quiz in these lessons of the interactive course.
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