Category: Technical Analysis
Fibonacci Retracements
Fibonacci retracements identify potential support and resistance levels based on mathematical ratios found throughout nature. Many traders use these levels to time entries and exits.
[DEFINITION] Fibonacci Retracement: Horizontal lines indicating potential support/resistance at key percentage levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) derived from the Fibonacci sequence.
### The Fibonacci Sequence and Ratios
**Sequence:** 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...
**Key ratios derived from the sequence:**
- 38.2%: Any number divided by the number two places to the right
- 61.8%: Any number divided by the next number (the "golden ratio")
- 23.6%: Any number divided by the number three places to the right
[TIP] You don't need to calculate Fibonacci levels manually. Every charting platform draws them automatically. Just understand what they mean.
### Drawing Fibonacci Retracements
**For an uptrend:**
Draw from the swing low to the swing high
**For a downtrend:**
Draw from the swing high to the swing low
The tool then displays horizontal lines at key retracement levels.
[EXAMPLE] Stock rallies from $50 to $100. Fibonacci retracement levels:
- 23.6%: $88.20
- 38.2%: $80.90
- 50%: $75.00
- 61.8%: $69.10
- 78.6%: $60.70
### Trading with Fibonacci
**Most important levels:**
- 38.2%: Shallow pullback, strong trend
- 50%: Common retracement level
- 61.8%: Deep pullback, critical for trend continuation
[KEY] The 61.8% level is the "golden ratio" and often the last line of defense for a trend. A break beyond 61.8% suggests the trend may have ended.
### Confluence with Other Analysis
Fibonacci levels work best when they align with:
- Previous support/resistance
- Moving averages
- Trend lines
- Round numbers
[EXAMPLE] Apple rallies from $140 to $180. The 50% retracement is $160, which also happens to be a previous resistance level and near the 50-day MA. This confluence makes $160 a high-probability support zone.
### Fibonacci Extensions
For projecting price targets beyond the original move:
**Common extension levels:**
- 127.2%: First target
- 161.8%: Second target
- 261.8%: Extended target
[WARNING] Fibonacci levels are not magic—they're tools for identifying potential levels. Many retracements stop at random levels between Fibonacci points. Always use other confirmation.
[EXERCISE] A stock rallies from $20 to $40. It then pulls back. At what price is the 61.8% Fibonacci retracement? |ANSWER| Move = $40 - $20 = $20. 61.8% of $20 = $12.36. Retracement level = $40 - $12.36 = $27.64. This would be a key level to watch for potential support.
[SCENARIO] You're looking to buy a stock in an uptrend. It's pulling back. Price reaches the 38.2% Fibonacci level, which also coincides with the rising 50-day moving average and previous resistance (now support). What do you do?
This is a high-confluence zone—three factors aligning. Consider buying here with a stop below the next Fibonacci level (50% or 61.8%). The confluence increases the probability that this level will hold.
Knowledge Check Quiz
Question: Which Fibonacci retracement level is considered the 'golden ratio'?
Take the interactive quiz on our website to test your understanding.