Fibonacci Extension Calculator
Use our free Fibonacci extension Calculator to plan your technical analysis strategy. Get detailed breakdowns, charts, and actionable insights.
Calculator
Adjust values & calculateExtension Levels & Targets
Formula
For bullish extensions, each target is calculated by adding the swing range (high minus low) multiplied by the Fibonacci ratio to the retracement point. For bearish extensions, the product is subtracted. Standard levels include 61.8%, 100%, 127.2%, 161.8%, 200%, 261.8%, 361.8%, and 423.6%. Risk-reward is computed as the distance to target divided by the distance to stop-loss.
Last reviewed: December 2025
Worked Examples
Example 1: Bullish Fibonacci Extension on Stock
Example 2: Bearish Fibonacci Extension on Forex
Background & Theory
The Fibonacci Extension Calculator applies the following established principles and formulas. Foreign exchange markets facilitate the conversion of one currency into another and serve as the largest and most liquid financial markets in the world, with daily turnover exceeding seven trillion US dollars. Exchange rates are quoted as currency pairs, expressing the price of one unit of a base currency in terms of a quote currency. For example, a EUR/USD rate of 1.0850 means one euro buys 1.0850 US dollars. The smallest standardized price movement in most pairs is the pip, typically the fourth decimal place, with a value of 0.0001 per unit for USD-denominated pairs. The bid price is the rate at which a dealer will buy the base currency, while the ask price is the rate at which it will sell. The spread between bid and ask represents the dealer's compensation and varies with liquidity and volatility. Leverage amplifies both gains and losses by allowing traders to control positions larger than their deposited margin. A 100:1 leverage ratio means a one-percent adverse move eliminates the entire margin, making position sizing and risk management critical. Two parity conditions from international economics anchor exchange rate theory. Purchasing Power Parity (PPP) holds that exchange rates should adjust over time so that identical goods trade at equivalent prices across countries: S = P_d / P_f, where S is the spot rate and P_d and P_f are domestic and foreign price levels. PPP performs well over long horizons but poorly in the short run due to trade barriers, non-tradable goods, and capital flows. Covered Interest Rate Parity (CIRP) is a near-arbitrage condition stating that forward exchange rate premiums or discounts exactly offset interest rate differentials between two currencies: F/S = (1 + r_d) / (1 + r_f). Deviations from CIRP create riskless arbitrage opportunities that traders rapidly eliminate. Uncovered Interest Rate Parity posits that high-yielding currencies should depreciate to offset their interest advantage, though empirical evidence is mixed and the carry trade — borrowing in low-rate currencies to invest in high-rate ones — has generated persistent returns.
History
The history behind the Fibonacci Extension Calculator traces back through the following developments. For much of the nineteenth century and early twentieth century, the international monetary system operated under the classical gold standard, under which each participating currency was fixed to a defined weight of gold, making bilateral exchange rates effectively constant. The system provided price stability and facilitated global trade but constrained governments' ability to respond to economic downturns. World War One shattered the gold standard as nations suspended convertibility to finance wartime expenditures. The interwar period saw attempts to restore gold convertibility, most notably the British return to the gold standard in 1925 at the pre-war parity, a decision criticized by John Maynard Keynes as deflationary. The Great Depression forced widespread currency devaluations and the effective collapse of the international gold standard by the early 1930s. The Bretton Woods Conference of July 1944 established a new order in which member currencies were pegged to the US dollar, while the dollar alone was convertible into gold at 35 dollars per troy ounce. The International Monetary Fund and World Bank were created at the same conference to oversee the system. Bretton Woods delivered exchange rate stability during the postwar growth era but came under strain as US deficits and European dollar accumulation outpaced American gold reserves. On August 15, 1971, President Nixon announced the suspension of dollar-gold convertibility — the so-called Nixon Shock — effectively ending the Bretton Woods system. By 1973, major currencies had transitioned to floating exchange rates determined by market supply and demand, a regime that has persisted. On September 16, 1992, hedge fund manager George Soros shorted the British pound against the European Exchange Rate Mechanism constraints, forcing the UK's withdrawal in what became known as Black Wednesday. Electronic trading platforms emerged in the 1990s and 2000s, replacing voice-brokered interbank markets and dramatically reducing transaction costs for institutional and retail participants alike.
Frequently Asked Questions
Formula
Extension = Retracement + Swing Range x Fibonacci Level
For bullish extensions, each target is calculated by adding the swing range (high minus low) multiplied by the Fibonacci ratio to the retracement point. For bearish extensions, the product is subtracted. Standard levels include 61.8%, 100%, 127.2%, 161.8%, 200%, 261.8%, 361.8%, and 423.6%. Risk-reward is computed as the distance to target divided by the distance to stop-loss.
Worked Examples
Example 1: Bullish Fibonacci Extension on Stock
Problem: A stock moves from $100 (swing low) to $150 (swing high), then retraces to $125 (50% retracement). Calculate bullish extension targets.
Solution: Swing range: $150 - $100 = $50\nRetracement: ($150 - $125) / $50 = 50%\nExtension targets from $125:\n61.8%: $125 + $50 x 0.618 = $155.90\n100%: $125 + $50 x 1.0 = $175.00\n161.8%: $125 + $50 x 1.618 = $205.90\n261.8%: $125 + $50 x 2.618 = $255.90\nRisk (stop at $100): $125 - $100 = $25\nR:R at 161.8%: ($205.90 - $125) / $25 = 3.24:1
Result: Targets: $155.90 (61.8%) | $175 (100%) | $205.90 (161.8%) | R:R at 161.8% = 3.24:1
Example 2: Bearish Fibonacci Extension on Forex
Problem: EUR/USD drops from 1.1200 (swing high) to 1.0800 (swing low), retraces to 1.1000 (50% retracement). Calculate bearish targets.
Solution: Swing range: 1.1200 - 1.0800 = 0.0400\nRetracement: (1.1000 - 1.0800) / 0.0400 = 50%\nBearish extensions from 1.1000:\n61.8%: 1.1000 - 0.0400 x 0.618 = 1.0753\n100%: 1.1000 - 0.0400 x 1.0 = 1.0600\n161.8%: 1.1000 - 0.0400 x 1.618 = 1.0353\nRisk (stop at 1.1200): 1.1200 - 1.1000 = 0.0200\nR:R at 100%: (1.1000 - 1.0600) / 0.0200 = 2.0:1
Result: Targets: 1.0753 (61.8%) | 1.0600 (100%) | 1.0353 (161.8%) | R:R at 100% = 2.0:1
Frequently Asked Questions
What are Fibonacci extensions and how are they used in trading?
Fibonacci extensions are technical analysis tools that project potential price targets beyond the original swing move by applying Fibonacci ratios to the price range. Traders use a three-point pattern: the initial swing low, the swing high, and a retracement point. The extension levels (typically 61.8%, 100%, 127.2%, 161.8%, 200%, 261.8%) are then projected from the retracement in the direction of the primary trend. For example, in an uptrend, if a stock moves from $100 to $150 and retraces to $125, the 100% extension target would be $175 ($125 + $50). These levels serve as potential take-profit zones, resistance or support areas, and help traders establish risk-reward ratios for their positions. Extensions are most reliable when they converge with other technical indicators.
What is the difference between Fibonacci retracements and Fibonacci extensions?
Fibonacci retracements and extensions measure different aspects of price movement. Retracements identify potential support and resistance levels WITHIN the original swing — they show where a pullback might stop before the trend resumes. Common retracement levels are 23.6%, 38.2%, 50%, 61.8%, and 78.6% of the original move. Extensions, on the other hand, project price targets BEYOND the original swing — they estimate how far the next impulse wave might travel after the retracement completes. Extension levels start at 61.8% and go up to 423.6% or higher. In practice, traders use retracements to find entry points during pullbacks and extensions to set profit targets. Both tools are derived from the Fibonacci sequence where each number is the sum of the two preceding numbers.
Which Fibonacci extension levels are most significant for trading?
The most widely watched Fibonacci extension levels are 100%, 161.8%, and 261.8%, with 161.8% (the golden ratio) being considered the most significant. The 100% extension represents an equal measured move — the projection travels the same distance as the original swing. This level frequently acts as initial resistance or support in trending markets. The 161.8% extension is derived from the golden ratio (phi) and is considered the primary Fibonacci target by most institutional and algorithmic traders. The 261.8% extension serves as a stretch target in strongly trending markets. Minor levels like 127.2% and 200% also attract attention. When multiple Fibonacci extension levels from different swings cluster together (confluence), those price zones become particularly strong areas of anticipated reversal or consolidation.
How do I correctly identify swing points for Fibonacci extension analysis?
Properly identifying swing highs and swing lows is critical for accurate Fibonacci extension projections. A swing high is a candlestick high that is higher than the highs of the candles on both sides (typically requiring at least 2-3 bars on each side for confirmation). A swing low is a candlestick low that is lower than the lows of surrounding candles. For best results, use significant swing points that are visible on the timeframe you are trading — not every minor fluctuation. Higher timeframe swings (daily, weekly) produce more reliable extensions than lower timeframe swings (1-minute, 5-minute). The three-point selection requires identifying the trend impulse (point A to point B) and the subsequent retracement (point B to point C). Point C must be a confirmed retracement that does not exceed point A in the trend direction.
How do I get the most accurate result?
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
Does Fibonacci Extension Calculator work offline?
Once the page is loaded, the calculation logic runs entirely in your browser. If you have already opened the page, most calculators will continue to work even if your internet connection is lost, since no server requests are needed for computation.
References
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy