Fibonacci Retracement Calculator

A Fibonacci retracement is a set of horizontal lines drawn at fixed fractions of a chosen price swing, marking where a pullback inside a trend might pause. You pick two points, the swing high and the swing low, and the tool measures the range between them. For an uptrend the levels are measured down from the high: a level at ratio r sits at High minus r times the range, so the 38.2 percent level is High minus 0.382 times the range and the 61.8 percent level is High minus 0.618 times the range. For a downtrend the levels are measured up from the low, at Low plus r times the range. The ratios themselves, 23.6, 38.2, 61.8 and 78.6 percent, come from the Fibonacci sequence, with 50 percent added by convention. The arithmetic is trivial and carries no information about price on its own. The levels matter only where they line up with structure the market already respects and because a large number of participants watch the same public ratios.

The standard retracement ladder is 0, 23.6, 38.2, 50, 61.8, 78.6 and 100 percent. The 0 and 100 percent levels are the swing extremes themselves. The 23.6 percent level is a shallow retracement that a strong trend often holds above. The 38.2 and 61.8 percent levels are the two most watched: together with the 50 percent midpoint they bracket the value zone where trending pullbacks most often pause. The 78.6 percent level is a deep retracement beyond which most of the move has been erased. The ratios are derived from the Fibonacci sequence: 0.618 is the inverse of the golden ratio, 0.382 is 0.618 squared, 0.236 is 0.618 cubed, and 0.786 is the square root of 0.618. The 50 percent level is the odd one out, a halfway point kept by convention rather than a Fibonacci number.

No. Fifty percent is not a Fibonacci ratio and does not appear anywhere in the Fibonacci sequence or its ratio derivations. It is simply the midpoint of the swing, the halfway mark of the range. It is included on almost every Fibonacci tool for a different reason, going back to Dow theory: the observation that markets frequently retrace roughly half of a prior move before continuing. So the 50 percent line earns its place the same way every Fibonacci level does, not through the mathematics but through how many people watch it. It is honest to draw it and dishonest to call it a Fibonacci ratio. This calculator includes it and labels it as watched by convention, so you know why it is there.

The golden pocket is the narrow band between the 61.8 percent and 65 percent retracement levels. It sits just past the 61.8 percent line, the retracement tied to the golden ratio, and it is the most-watched single zone on a Fibonacci map. Its reputation is almost entirely reflexive: it is watched because so many participants watch it, which concentrates resting orders in that band and makes reactions there more likely, exactly the same self-fulfilling mechanism that gives pivot levels their pull. That is worth stating plainly. The golden pocket has no mechanistic property that forces price to turn there. It is a coordinate a crowd has agreed to pay attention to, useful as a place to watch when it coincides with prior structure, and close to meaningless when it sits on empty chart.

A retracement measures a counter-trend pullback inside the swing, between 0 and 100 percent of the range, and is used to find where a correction might end and the trend resume. An extension projects beyond the swing, past 100 percent, and is used as a measured-move target for how far the next leg might travel. The common extension ratios are 127.2 percent, the square root of 1.618; 161.8 percent, the golden ratio itself; and 261.8 percent, the golden ratio squared. This calculator projects extensions as a measured move from the origin of the swing: for an uptrend, extension equals the swing low plus the ratio times the range, which places the 161.8 percent extension 0.618 of a range above the swing high. Retracements answer where a pullback may pause; extensions answer how far a continuation may reach. Both are levels to watch, not price forecasts.

This is the hard part and the honest weakness of the tool. You anchor the retracement to a clear, completed swing: in an uptrend, from a distinct swing low to the swing high that followed it; in a downtrend, from a swing high to the swing low. The problem is that the choice is a judgement, not a measurement. On the same chart, one trader anchors to the day's low and another to last week's low, and they get two completely different sets of levels. There is no objective, universally correct swing. The discipline is to use obvious, structurally significant highs and lows on a timeframe you have decided in advance, to stay consistent, and above all to avoid the temptation to slide the anchor around after the fact until a level happens to sit where price already turned. That last habit, curve-fitting the swing to explain a move, is how Fibonacci flatters a chart in hindsight while predicting nothing forward.

On their own, no, and the honest case for them is narrow. The ratios have no mechanistic edge; there is no force in a market that makes price respect 0.618 of an arbitrary swing you selected. What Fibonacci gives you is a shared, objective coordinate system that many participants compute the same way, so orders cluster near the well-known ratios and reactions become somewhat more likely there. That effect is real but weak and entirely conditional. A Fibonacci level earns weight only at confluence, where it coincides with a prior swing high or low, a moving average, a pivot, a round number or a higher-timeframe level that price was going to respect anyway. Drawn on empty space it is one line among infinitely many. Fibonacci is a confluence tool, not a source of signals, and treating a lone ratio as a reason to trade is one of the ways retail accounts become a statistic.

The mechanics mirror. In an uptrend you anchor from the swing low to the swing high, and the retracement levels are measured downward from the high: they mark where a pullback might find support before the uptrend resumes, so the 38.2, 50 and 61.8 percent levels sit below the high and above the low. Extensions project above the high as upside targets. In a downtrend you anchor from the swing high to the swing low, and the retracement levels are measured upward from the low: they mark where a bounce might meet resistance before the downtrend resumes. Extensions project below the low as downside targets. This calculator handles the flip with a direction toggle, so the same swing high and swing low produce support-side levels for an uptrend and resistance-side levels for a downtrend, with the arithmetic switched from High minus r times range to Low plus r times range.

No, and treating them as one is the common mistake. A Fibonacci level is a place to expect a possible reaction and a place where risk is easy to define, not an instruction to buy at the 61.8 percent line or sell at an extension. Price passes cleanly through Fibonacci levels constantly, especially in strong trends and on the many charts where the levels sit on empty space. The professional use is as scaffolding around a tested method: the level tells you where a reaction is more likely, and therefore where a stop or a decision point can sit cheaply, while the actual decision comes from confluence with structure and from what price does at the level. The SEBI FY25 finding that over 91 percent of individual F&O traders were net loss-making is in part what happens when drawn lines are mistaken for signals, without a method deciding whether the setup is worth taking and without position sizing to survive the levels that do not hold.