Fibonacci Ratios

Stock trading dictionary: meaning, example and how traders use it.

Last updated: October 17, 2026

Definition: Fibonacci Ratios are percentages derived from the Fibonacci number sequence, chiefly 23.6%, 38.2%, 61.8% and 161.8%, that technical analysts use to estimate where a pullback might find support or where a move might extend.

Where Fibonacci ratios come from

The Fibonacci sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, with each number the sum of the two before it. As the numbers grow, dividing one by the next approaches 0.618, dividing a number by the one two places later approaches 0.382, and dividing by the one three places later approaches 0.236. The inverse of 0.618 is about 1.618, often called the golden ratio. Traders also use 50% and 78.6%; 50% is not a Fibonacci ratio but is commonly included because markets often retrace about half of a move.

How to draw Fibonacci retracement levels

In an uptrend, select a clear swing low and the subsequent swing high. Charting software then plots horizontal lines at 23.6%, 38.2%, 50%, 61.8% and 78.6% of the distance, measured down from the high. In a downtrend, draw from the swing high to the swing low, and the levels mark potential resistance on a bounce. Most platforms, including our charting software, offer a Fibonacci tool.

Choosing obvious, significant swing points, the ones most traders would also pick, tends to produce more useful levels than drawing from minor wiggles. Applying the tool on a daily or weekly chart also reduces noise.

Fibonacci retracement example

Suppose a stock rallies from $40 to $60, a $20 move. The retracement levels are:

  • 38.2%: $60 - (0.382 x $20) = about $52.36
  • 50%: $60 - $10 = $50.00
  • 61.8%: $60 - (0.618 x $20) = about $47.64

If the stock then pulls back and stabilizes near $50, a trader might treat that zone as potential support, especially if it lines up with an earlier support level or a rising moving average. A close well below $47.64 would weaken the case that the trend is intact.

Fibonacci extensions

Extensions project how far a move might travel beyond the prior high after a pullback ends. Using the example above, a 161.8% extension of the $20 rally measured from the $40 low gives a level near $72.36. Traders sometimes use extensions as profit targets after a breakout.

Limitations of Fibonacci ratios

There is no proven reason markets should respect these ratios, and results depend on which swing points you choose; two analysts can draw different levels on the same chart. With five or more lines on a chart, price will often come near one of them by chance. For that reason, many traders use Fibonacci levels as areas of interest, look for confluence with volume, trendlines or prior congestion zones, and wait for price confirmation such as a reversal candle before acting.

Frequently asked questions

What is the most important Fibonacci retracement level?

Many traders watch the 61.8% level most closely, often alongside the 38.2% and 50% levels, but no single level works consistently.

Do Fibonacci retracements really work?

Evidence is mixed. Fibonacci levels can help frame potential support and resistance, but they are subjective and work best combined with other confirmation.

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For information only, not investment advice. See the disclaimer.