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Fibonacci Calculator

Use this accurate Fibonacci Levels Calculator to quickly plot the hypothetical Fibonacci retracement or extension levels of any financial instrument.

What are Fibonacci Levels?

Fibonacci levels and sequences are not secret ratios nor price patterns found in the nature of markets. It is rather a popular method, or indicator, to analyze an asset's price action in financial markets, and like other popular indicators, its relevance rests with its self-fulfilling popularity.

Fibonacci levels can be divided into two categories; retracements and extensions. Retracement levels are applied to an asset’s price after a new high, on an uptrend, or a new low, on a downtrend, and when traders identify a temporary end of a trend. When the market starts consolidating, there will be pullbacks, or market corrections, the so-called Fibonacci retracement levels.

Key Fibonacci Retracement Levels 0.236, 0.382, 0.500, 0.618, 0.764

On the other hand, Fibonacci extension levels are applied to an asset’s price as the continuation of the trend. Market prices can (not necessarily) correct to one of the Fibonacci retracements levels, and then carry on moving in the direction of the underlying trend, making new highs or lows. Or it might just carry on moving in the direction of the main trend after a consolidating period without touching any Fibonacci retracement levels.

Key Fibonacci Extension Levels 0.382, 0.618, 1.000, 1.382, 1.618

Just as there is no magical or universal law to the Golden Ratio, so there is no magical or universal law within any of the Fibonacci ratios. They are simply interesting ratios discovered by mathematicians and later adopted by traders.

Traders globally have been allured by the magical feeling of the Fibonacci ratios in the markets. Because it is an indicator used globally, including several professional traders, with many buying and/or selling on these levels, Fibo levels can be very effective.

Trend direction: In this field traders can simulate an uptrend or a downtrend by simply selecting "Up" or "Down". Let's say, for example, that we want to calculate the Fibonacci retracements for the EUR/USD, currently on an uptrend in the weekly chart, to find a good entry level.

Firstly, for our example, we will select the "Up" trend direction. Then we tick the "Retracement" radio button, to instruct the calculator to compute the retracement levels.

Low price: In this field traders should enter the EUR/USD pair lowest price, printed at the very beginning of the uptrend, for example 1.16653.

High price: In this field traders should input the EUR/USD pair highest price, reached during the current uptrend, for example 1.20552.

Then, we hit the "Calculate" button.

The results: The Fibonacci Levels Calculator will calculate and display the 5 retracement levels for the EUR/USD pair. The retracement levels are created by taking the two extreme points (lowest or highest swing, or simply point A and B) of an asset's price action and dividing the vertical distance by the key Fibonacci ratios of 23.6%, 38.2%, 50%, 61.8% and 78.6%.

So, in our example, the uptrend, the lowest swing of the EUR/USD (point A) was 1.16653. The price action went up to a highest of 1.20552 (point B). Inputting this data, our calculator revealed that the Fibo retracement levels are 1.1987 for the 23.6% retracementent, 1.1944 for the 38.2% retracementent, 1.191 for the 50.0% retracementent and so on.

The calculator will display the retracement levels, by default. For the projection (extension) levels, traders should complete the "End price" field (required) and the calculator will display up to 6 possible projection levels (maximum 261.8% - 2.618 Fibo).

In financial trading, the 3 most used Fibonacci retracement levels are 23.6% (0.236), 38.2% (0.382), and 50% (0.500). On extensions, the 3 most used Fibonacci extension levels in financial trading are 61.8% (0.618), 100% (1.000) and 161.8% (1.618).

You might also find our What are Fibonacci Retracements in Forex article useful. It can help traders to understand in more detail how the Fibonacci levels calculations are performed. In the same article traders can also find content about how to use these levels (retracements and extensions) in real-live trading, using Fibo levels for bounce trades and to determine profit levels.