Fibonacci calculator

What a Fibonacci line actually is

A Fibonacci line is a horizontal price, drawn by taking a swing between a high and a low and multiplying its range by a fixed ratio. The ratios come from the Fibonacci sequence: 0.618 is the limit of one Fibonacci number divided by the next, 0.382 is the next step down, and 0.236 and 0.786 follow the same logic. 50 per cent is not part of the sequence, but it has stayed in the toolkit because the midpoint of any swing is useful to see.

Everything this calculator prints is one of those ratios applied to a range you enter. It does not fetch market data, does not read any chart, and does not give a buy or sell call. If you type in a wrong swing, the levels will be wrong. The table below shows the gap from your reference price so you can read the distance to each line at a glance.

The formula this page uses

For a rising swing (low came first, then high), a retracement at ratio r sits at high minus range times r, where range is high minus low. A 61.8 per cent retracement of a rise from 24,000 to 25,000 is 25,000 minus 1,000 times 0.618, or 24,382. An extension at ratio e, measured from the start of the move, sits at low plus range times e. A 161.8 per cent extension on the same swing is 24,000 plus 1,000 times 1.618, or 25,618.

For a falling swing (high came first, then low), the direction flips. A retracement at r sits at low plus range times r: a 50 per cent retracement of a fall from 25,000 to 24,000 sits at 24,500, halfway back up. An extension at e sits at high minus range times e: a 161.8 per cent extension points to 23,382, below the swing low. If you accidentally enter a high below the low, the page swaps them and reads it as a rising swing.

Worked example you can check

Take the default: a rise from 24,000 to 25,000, and your price at 24,500. Range is 1,000. Every retracement is 25,000 minus 1,000 times the ratio. Every extension is 24,000 plus 1,000 times the ratio.

Your reference price here sits on the 50 per cent line. The headline on the page reports the 61.8 per cent retracement because it is the ratio most often quoted from the sequence; the metric tiles report the range, the 50 per cent line and the nearest line to your price.

How the chart reads at a glance

The chart on the page is a price ladder, not a time-series chart. Each horizontal line sits at its true price position between the swing high and the swing low. Retracement lines use one colour and extensions use a second colour so a glance tells you which kind of line is which. The line marked Your price is the reference price you entered and is drawn thicker. When two lines sit close in price, their labels are pushed apart just enough to stay readable on a phone, with a thin connector back to the real price.

The table that sits below the ladder repeats every level in rupees and adds the percentage gap from your price, sorted high to low. If you enter a round number for your price, the gap shows you which line is nearest without any eyeballing.

How each input moves the answer

Both prices move the levels in a straight line. If you raise the swing high by one rupee, every retracement in a rising swing shifts in proportion to its ratio, and every extension also shifts. Hold the low at 24,000 and change the high: 24,500 puts the 61.8 per cent line at 24,191, 25,000 at 24,382 and 25,500 at 24,573. The step is clean, because the formula is linear.

Direction changes the arithmetic, not the geometry. A fall from 25,000 to 24,000 and a rise from 24,000 to 25,000 use the same five retracement ratios, but the retracements sit at mirrored prices: 24,618 on a fall where 24,382 sits on a rise. Your reference price is only a label on the ladder; it does not move any other level.

Where the 50 per cent line fits in

The 50 per cent line is not a Fibonacci ratio. It is the midpoint of the swing and has stayed on the ladder because a half-retracement of any move is worth seeing. Many trading courses pair it with 38.2 and 61.8 as the three lines a swing is most often studied against. This page reports the 50 per cent level as a metric so you can read it against your price without hunting through the table.

The 78.6 per cent line is the square root of 0.618. A retracement that reaches 78.6 per cent is almost the whole swing undone, and some books treat it as the edge of the retracement zone. Any ratio deeper than that, this page would call an extension in the opposite direction rather than a retracement.

What this calculator leaves out

• Live prices. You type in the swing high and the swing low; the page never fetches market data.
• Any claim that a level holds. These are arithmetic lines on prices you entered, not forecasts.
• Time. A Fibonacci time projection uses the same ratios on days or bars rather than on price, and this page does not do that.
• Fans and arcs. Fibonacci fans, arcs and channels use the same ratios along a trend line, and sit outside this tool.
• Automatic swing detection. Pick the swing yourself; the page cannot tell you where the move started or ended.
• Order placement. The page is an education tool, not a broker interface.

Frequently asked questions

Courses that teach the subject behind the fibonacci calculator