What is the Fibonacci sequence and how is it used in trading?

The Fibonacci sequence is a mathematical pattern often used by traders to help predict potential price targets and trend reversals. This series of numbers is calculated by adding together the two preceding numbers. The pattern can be found throughout the natural world, including in seashell spirals and sunflower patterns, and is also relevant within financial markets.

Leonardo Fibonacci, an Italian mathematician, introduced the Fibonacci sequence in 1202 in his book Liber Abaci. Fibonacci posed a thought experiment involving rabbit breeding, leading to a sequence where each number is the sum of the two preceding ones.

The Fibonacci sequence is expressed as: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. As the sequence advances, the ratio between consecutive numbers (the first number divided by the second number) approaches approximately 1.618, a number known as the Golden Ratio.

In technical analysis, traders add Fibonacci ratios as horizontal lines on a chart to help identify potential support and resistance levels. This can help predict potential price targets and trend reversals, which are known as Fibonacci retracement levels.

Key Fibonacci levels used in trading typically come from calculating the relationships between the numbers in the sequence. The number string derives all the Fibonacci retracement levels.

For example, dividing a number by its following number results in 0.618 (61.8%), which is a key Fibonacci level. Dividing it by the second number following it results in 0.382 (38.2%), another key level. Every level outside of 50% (which is not a Fibonacci number) is based on some calculation within this number string.

Fibonacci retracements are used to identify potential pullbacks within an existing trend. For example, where the price of Bitcoin rises by $1000 and then drops by $236, it has retraced 23.6%, which is a Fibonacci retracement level. If the price dips further, traders might look at the next retracement levels of 38.2% or 61.8%.

Fibonacci extensions are also calculated using the string of numbers and are used to project potential price targets beyond the current trend, like during price discovery.

Traders often use Fibonacci retracement levels to help determine potential times to enter and exit a trade.

For example, during an uptrend, a trader notices that the price of an asset has decreased by 38.2%. This could provide a potential entry to purchase that asset with the hopes that the asset will recover that retracement.

Longer-term traders may use the Fibonacci retracement levels as key reference points for setting stop orders. A stop order acts as a safety net to automatically sell a trader’s position if the market price drops below a specific level. Traders might place their stop order just below a key Fibonacci retracement level to help protect their capital if the price continues the downtrend rather than bounce from that level.

Disclosures:

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