# Fibonacci Pivots A Support/Resistance & Levels concept (Pivot families) in the LuxAlgo Library, with 1 indicator implementation. ## What are Fibonacci Pivots? Fibonacci pivots are a pivot-point family that spaces support and resistance at Fibonacci ratios of the prior period's range. The central pivot is the classic (high + low + close) / 3 of the previous day, week, or month. Resistance and support levels then sit above and below it at fixed fractions of that period's high-to-low range: R1 and S1 at 38.2%, R2 and S2 at 61.8%, R3 and S3 at 100%. The family tree starts on the exchange floor: the central pivot formula is the floor traders' pre-computed reference from the pre-screen era, and the Fibonacci variant arrived with retail charting platforms, which swapped the floor arithmetic for ratio offsets as Fibonacci vocabulary went mainstream. The variant's popularity is largely ecological, shipped as a standard option everywhere pivots are offered, which itself feeds the shared-reference effect pivots rely on. The construction borrows its center from [floor pivots](https://www.luxalgo.com/library/concept/floor-pivots/) and swaps the floor traders' arithmetic for proportional offsets, so level spacing scales with how far the prior period actually traveled: a quiet day yields tight pivots, a wide day distant ones. Like every pivot family, the levels are computed once at the period boundary and stay fixed all period, which makes them objective and easy to reproduce. That is also the honest core of their appeal: enough participants plot the same lines that reactions near them are worth watching, though no formula makes a level hold on any given test. In 24-hour markets the inputs are a convention choice: which 'day' supplies the high, low, and close depends on the session template (exchange close, UTC midnight, or a chosen session), and two platforms with different templates print different pivots from identical data. Reading-wise, the levels behave like every formula ladder, bias around the central pivot, first reactions at R1/S1, trend days walking to the outer tiers, and they earn extra weight only through confluence with independently derived references. ## How to calculate Fibonacci Pivots The inputs are just the prior period's high, low, and close; everything else is arithmetic. 1. Take the previous period's high (H), low (L), and close (C): the prior day for intraday use, the prior week or month for higher-timeframe maps. 2. Compute the central pivot, P = (H + L + C) / 3, and the range, H - L. 3. Project the levels: R1/S1 = P ± 0.382 × range, R2/S2 = P ± 0.618 × range, R3/S3 = P ± 1.000 × range. Some implementations add tiers such as 0.236 or 1.382. 4. Plot the set across the new period and leave it fixed; recalculate only when the next period opens. 5. In 24-hour markets, fix the session template first: the same data under different day boundaries yields different pivots, so consistency is the entire game. ## How it's calculated Horizontal support and resistance levels for the current period, offset from a central pivot by Fibonacci fractions of the prior period's range. ``` 1. Take the prior period's high H, low L, and close C (prior day for daily pivots; prior week or month for higher-timeframe sets). 2. Compute the central pivot: PP = (H + L + C) / 3. 3. Compute the prior range: R = H - L. 4. Resistance levels: R1 = PP + 0.382 × R, R2 = PP + 0.618 × R, R3 = PP + 1.000 × R. 5. Support levels: S1 = PP - 0.382 × R, S2 = PP - 0.618 × R, S3 = PP - 1.000 × R. 6. Plot all seven levels flat across the new period and recompute them when the period rolls over. H: prior period's high L: prior period's low C: prior period's close PP: central pivot point R: prior period's range, R = H - L R1, R2, R3: resistance levels above the pivot S1, S2, S3: support levels below the pivot ``` Identical to Classic floor pivots except that the offsets are Fibonacci fractions of R rather than pivot-based arithmetic. Some platforms extend the ladder with 0.786 or 1.382 multiples (R4/S4). On 24-hour markets the values depend on which session close is used (exchange, UTC, or broker time). ## How traders use it - As an intraday level map: daily-derived R1 and S1 mark the first zones to watch for stalls or reactions, with R2/R3 and S2/S3 serving as objectives on stronger trending days. - As a bias line: trade holding above the central pivot is commonly read as a bullish session lean and below as bearish, the same convention used across pivot families. - For confluence: a Fibonacci pivot gains weight when it overlaps a [prior period high or low](https://www.luxalgo.com/library/concept/prior-period-levels/), a [fib retracement](https://www.luxalgo.com/library/concept/fib-retracement/) of a live swing, or a [session VWAP](https://www.luxalgo.com/library/concept/session-vwap/). - On higher timeframes: weekly and monthly Fibonacci pivots give swing traders fixed references that keep their placement for the whole period. - For day-shape framing: rotational sessions tend to live between R1 and S1 while trend days walk the ladder tier by tier, so which levels are being reached and held doubles as a day-type read, managed under standard [level interaction rules](https://www.luxalgo.com/library/concept/level-interaction-rules/). ## Fibonacci Pivots vs other pivot and Fibonacci levels - **Floor Pivots** (https://www.luxalgo.com/library/concept/floor-pivots/): Both share the (H + L + C) / 3 central pivot. Floor pivots build satellites from arithmetic like 2P - L and 2P - H, so spacing is asymmetric; Fibonacci pivots offset by fixed fractions of the range, symmetric around the pivot. - **Camarilla** (https://www.luxalgo.com/library/concept/camarilla/): Camarilla levels derive from the prior close plus small fractions of the range, sit much closer to price, and center on fading the inner levels; Fibonacci pivots spread proportionally wider around a central pivot. - **Fib Retracement** (https://www.luxalgo.com/library/concept/fib-retracement/): A retracement is anchored by hand to a chosen swing and measures inside it. Fibonacci pivots involve no discretion: they derive mechanically from the prior period's high, low, and close. ## FAQ ### Which Fibonacci ratios do Fibonacci pivots use? The standard set offsets the central pivot by 38.2%, 61.8%, and 100% of the prior period's high-to-low range, producing three resistance and three support levels. Some platforms add 23.6% or 138.2% tiers. The central pivot itself is not Fibonacci-derived; it is the same (high + low + close) / 3 used by classic floor pivots. ### Are Fibonacci pivots more accurate than standard pivot points? No pivot family has been shown to be consistently better, and their levels often sit close together anyway because both derive from the same prior-period inputs. The practical approach is to pick one family, learn how your market behaves around its levels, and rely on confluence with independent references rather than switching formulas in search of accuracy. ### What period should Fibonacci pivots be calculated from? Use a calculation period at least one step above your execution timeframe: prior-day values for intraday charts, prior-week for daily swing charts, prior-month for longer holds. Higher-period pivots reset less often and are shared by more participants, while daily pivots refresh every session and suit shorter horizons. Many traders plot two periods at once and watch where they overlap. ### How are the inputs defined in 24-hour markets? By convention, and the convention matters: crypto pivots commonly use the UTC daily candle, forex platforms use their server's day roll (often the New York close), and futures may use either the electronic session or regular hours. Each template yields different highs, lows, and closes, hence different pivots. Pick the boundary your market's participants actually watch, then never mix templates mid-analysis. ### What does it mean when price reaches R2 or R3? By construction, the day has traveled a large fraction of the prior period's range beyond the pivot: R3 at the full range marks an unusually directional session. Trend-day playbooks treat laddder progress as continuation evidence and fade attempts as countertrend, while rotation days rarely see the outer tiers at all. The levels describe the day's character as much as they resist its price. ### Should Fibonacci pivots be combined with floor pivots? Combining families mostly re-plots the same prior-period information twice, so the practical version of the question is about overlaps: where the two formulas happen to agree, the shared level gains the every-formula-watches-it property, and where they disagree the zone between them is noise. Most traders pick one family for structure and use the other, if at all, only as an overlap check. ## Implementations in the Library - Fibonacci Pivots (LuxAlgo): https://www.luxalgo.com/library/indicator/fibonacci-pivots/ ## Related concepts - Pivot Points: https://www.luxalgo.com/library/concept/pivot-points/ - Floor Pivots: https://www.luxalgo.com/library/concept/floor-pivots/ - Camarilla: https://www.luxalgo.com/library/concept/camarilla/ - Woodie Pivots: https://www.luxalgo.com/library/concept/woodie-pivots/ - DeMark Pivots: https://www.luxalgo.com/library/concept/demark-pivots/ - Central Pivot Range: https://www.luxalgo.com/library/concept/central-pivot-range/ --- Source: https://www.luxalgo.com/library/concept/fibonacci-pivots/ (LuxAlgo Library, the encyclopedia of trading & technical analysis). Free to use with attribution: https://www.luxalgo.com/library/license/