Fibonacci on the CMT Exam

Fibonacci analysis is part of the official Classical Techniques domain for CMT Level II. It also appears on Level III in integrated analysis scenarios.

For the full Level 2 curriculum, see the CMT exam guide.

Key Fibonacci Ratios

These ratios derive from the Fibonacci sequence where each number is the sum of the two preceding numbers:

RatioSourceSignificance
23.6%Derived from sequenceShallow retracement
38.2%n / (n+2)Moderate retracement
50.0%Not Fibonacci, but widely usedMidpoint reference
61.8%n / (n+1) = Golden RatioMost significant level
78.6%√0.618Deep retracement
100%Full retracementComplete giveback

Fibonacci Retracements

Retracements measure how much of a prior move has been retraced:

  • Draw from swing low to swing high (uptrend) or high to low (downtrend)
  • The 38.2% and 61.8% levels are considered most significant
  • Confluence with support/resistance strengthens levels

Fibonacci Extensions

Extensions project price targets beyond the original move:

  • 127.2%: Common first target
  • 161.8%: Major extension (Golden Ratio)
  • 261.8%: Extended targets for strong trends

Harmonic Patterns

Advanced patterns using specific Fibonacci ratios:

  • Gartley: XA → 61.8% retracement at B, ends at 78.6% at D
  • Butterfly: Extension pattern using 127% at D
  • Bat: Uses 88.6% retracement at D
  • Crab: Uses 161.8% extension at D

These are primarily tested on Level 2. Combine with indicators for confirmation.

Fibonacci & Elliott Wave

The Fibonacci sequence is deeply intertwined with Elliott Wave Theory. Wave proportions commonly follow Fibonacci ratios — Wave 3 often extends 161.8% of Wave 1.

Test your knowledge with practice questions and return to the main guide.

Fibonacci Retracement Levels — Common Support Zones

Key levels at 23.6%, 38.2%, 50%, 61.8%, and 78.6%