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

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Summary:
  • The Fibonacci sequence is a mathematical series where each number is the sum of the two preceding numbers.
  • Traders often use Fibonacci ratios to help identify potential support and resistance levels on price charts.
  • These retracement levels can assist in planning potential entry points, exit points, and stop orders.

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.

How does the Fibonacci sequence apply to trading?

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.

What are 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.

TypeLevels
Retracement Levels23.6%, 38.2%, 50%, 61.8%, 78.6%
Extension Levels61.8%, 100%, 161.8%, 200%, 261.8%

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.

How do you use Fibonacci levels in a trade?

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

Make sure to do your own research on what investments are right for you before investing or consider seeking expert financial advice. Please note that these articles are meant for information and do not constitute any financial advice. This is not an offer, recommendation, inducement or invitation to buy, sell, or hold any cryptocurrency, or to engage in any investment activity or strategy.

Cryptocurrency trading is offered through Bitstamp UK Ltd ("BSUK"), registered with the Financial Conduct Authority as a cryptoasset service provider.

Cryptocurrency held through BSUK is not covered by the Financial Services Compensation Scheme (FSCS) or the Financial Ombudsman Service (FOS).

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All investing involves risk and loss of principal is possible.

Robinhood U.K. Ltd (Robinhood UK) is a company registered in England and Wales (09908051) and is authorised and regulated by the Financial Conduct Authority (FRN: 823590). Robinhood UK is also registered with the Financial Conduct Authority for the provision of arranging or making arrangements (including receiving and transmitting orders) with a view to the execution of transactions in cryptoassets and money, under the Money Laundering Regulations.

Robinhood UK onboards UK customers and has the lead customer relationship with UK customers in relation to their use of the Robinhood UK app and website.

Robinhood UK introduces UK customers to Robinhood Securities, LLC for order routing, execution, clearing, settlement, arranging custody services, securities lending and margin investing to eligible UK customers with margin accounts. Margin is provided by Robinhood Securities, LLC. Robinhood UK can only introduce customers to Robinhood Securities, LLC for margin investing.

Robinhood U.K. Ltd introduces UK customers to Robinhood Derivatives, LLC for futures investing.

Robinhood U.K. Ltd introduces UK customers to Bitstamp UK Ltd for cryptocurrency trading. Bitstamp UK Ltd is registered with the Financial Conduct Authority as a cryptoasset firm under the Money Laundering Regulations. Cryptocurrency held through Bitstamp UK Ltd is not protected by the Financial Services Compensation Scheme (FSCS).

Margin investing is a high risk product. Leverage can magnify your losses and you could lose more than your initial capital. You must also repay your margin loan and any interest charges, which may result in the sale of securities.

Options and futures are complex products, involve significant risk and are not suitable for all investors. You could lose more than your initial invested capital. You should only invest in financial products that match your knowledge and experience. Please review Characteristics and Risks of Standardized Options prior to engaging in options trading and the Futures Risk Disclosure Statement prior to engaging in futures trading.

Stock lending, margin investing and options and futures investing are optional and subject to Robinhood's eligibility and appropriateness criteria.

Robinhood Securities, LLC is regulated in the U.S. by the SEC and FINRA. Robinhood Derivatives, LLC is regulated by the CFTC and is an NFA member.

Robinhood UK, Robinhood Securities, LLC, and Robinhood Derivatives, LLC and Bitstamp UK Ltd are subsidiaries of Robinhood Markets, Inc.

Robinhood does not provide investment advice. Individual investors should make their own decisions. Please read the terms before using our services and, if necessary, seek advice.

Commission-free trading refers to $0 commissions on stocks for Robinhood self-directed individual brokerage accounts that trade U.S. listed securities and ADRs. Keep in mind, contract fees apply when trading options and futures and other costs such as exchange fees and regulatory fees may also apply. Please see Robinhood UK’s Fee Schedule to learn more.

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