Elliott Wave TheoryAdvanced

Elliott Wave Fibonacci Ratios

The Fibonacci relationships Elliott traders use: wave 2 retracing 50–61.8% of wave 1, wave 3 at 1.618 × wave 1, wave 4 retracing 38.2%, with a worked example and honest limits.

Library categories

What it means

Elliott practitioners measure waves against each other with Fibonacci ratios. Common guidelines: wave 2 retraces 50–61.8% of wave 1; wave 3 is often 1.618 × wave 1; wave 4 retraces about 38.2% of wave 3; wave 5 is often equal to wave 1.

These are guidelines, not rules: real waves often miss them.

Why traders use it

Ratios give a count something to aim at. If wave 3 has already travelled 1.618 × wave 1, the most extended part of the move may be complete.

Chart examples

Wave 2 at 61.8%, wave 3 at 1.618

1234Wave 1 = 6Wave 3 = 1.618 × wave 1Wave 2 = 0.618 of wave 1
Wave 1 is 6 points. Wave 2 retraces 61.8% of it; wave 3 is projected 1.618 × wave 1 from the wave 2 low.Schematic diagrams drawn to explain the idea; they are not market data.

How to identify it objectively

  • 1Measure wave 1 from its start to its end.
  • 2Draw a Fibonacci retracement over wave 1 for wave 2.
  • 3Project wave 3 from the end of wave 2 by 1.618 × wave 1.
  • 4Treat each projection as a zone and wait for price to react there.

Bullish use

  • 1Wave 2 reacts in the 50–61.8% zone of wave 1.
  • 2Wave 3 target: end of wave 2 + 1.618 × wave 1.
  • 3Wave 4 pullback near 38.2% of wave 3.

Bearish use

  • 1In a downtrend, the same ratios apply downward.
  • 2Wave 5 near equality with wave 1 is watched for exhaustion.

What confirms it

  • The ratio zone lines up with structure or liquidity.
  • Momentum slows as price reaches the projection.

What invalidates it

  • Price runs far past the projection without slowing.
  • The underlying count breaks one of the three rules.

How a hypothetical setup is built

Entry

Long when wave 2 reacts inside 50–61.8% of wave 1 with a bullish close.

Stop

Below the start of wave 1.

Target

The 1.618 projection of wave 1 from the wave 2 low.

A hypothetical illustration of how the concept is turned into a plan, not a recommendation. Practise it on a paper account first.

Historical testing

Not tested on The Tradeskill. In the drawing: wave 1 runs from 100 to 106 (6 points); wave 2 retraces 61.8% to 102.29; wave 3 is projected to 102.29 + 1.618 × 6 ≈ 112.

Limitations: when it fails

  • Ratios are often close but rarely exact.
  • Choosing which ratio applies after the fact creates false confidence.
  • No published evidence shows these ratios have predictive power on their own.

Knowledge check

Pick an answer to see the explanation. Nothing is saved.

Wave 1 = 100 → 106. Wave 2 ends at 102.29. Where is the 1.618 wave 3 projection?

1. Wave 1 = 100 → 106. Wave 2 ends at 102.29. Where is the 1.618 wave 3 projection?

A common wave 2 retracement zone is…

2. A common wave 2 retracement zone is…

Are Fibonacci ratios Elliott rules?

3. Are Fibonacci ratios Elliott rules?

Practise it risk-free

Open the free chart, use replay to go back in time and look for this concept candle by candle with $20,000 in virtual money.