Fibonacci retracement and extension calculator

Calculate Fibonacci levels from your supplied swing prices. Compare two-point extensions with a three-point projection and see the arithmetic behind each level.

Inputs

Hypothetical example. Replace these inputs with your own.

Result

Calculation result

Example result

Signed swing move: 100 quote
61.8% retracement level: 138.2 quote
161.8% extension level: 261.8 quote

All prices use the same quote currency. The signed move is the end price minus the start price.
Retracements start at the end price and move back toward the start price.
Two-point extensions start at the start price and apply the signed swing move.
You choose the swing. These arithmetic levels do not predict a price reaction.

Calculation breakdown
Level type	Ratio · %	Calculated level · quote
Retracement	0	200
Retracement	23.6	176.4
Retracement	38.2	161.8
Retracement	50	150
Retracement	61.8	138.2
Retracement	78.6	121.4
Retracement	100	100
Extension	127.2	227.2
Extension	161.8	261.8
Extension	200	300
Extension	261.8	361.8

Saved scenarios

Save up to 20 new-tool scenarios on this device, separately from the six existing tools. Prices and balances stay out of the URL. DCA, journal and correlation scenarios save settings and a digest, requiring the matching CSV again to calculate.

Scenario nameSaved scenario

Saving requires browser storage and Web Locks.

Formula and worked example

Retracement = ending price − signed swing × ratio. Two-point extension = starting price + signed swing × ratio. Three-point projection uses your pullback price as the anchor.

Hypothetical swing: 100 to 200 gives a 61.8% retracement of 138.2 and a two-point 161.8% extension of 261.8. A supplied pullback of 150 gives a three-point projection of 311.8. Levels are arithmetic references, not predicted reversals.

These estimates use bounded decimal arithmetic. They are scenario calculations, not trading instructions or forecasts.

Methodology sources: Fidelity supplied Fibonacci levels