# Fibonacci Pivot Points

`D08-F01-A06` · Geometric Chart Patterns → Pivots and Levels · archetype `record-transform` · difficulty 2/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/geometric-chart-patterns/pivots-and-levels/fibonacci-pivot-points/
Agent skill: `npx skills add IslamBaraka90/Fintech-Algorithms-Library` — https://docs.thefintechbuilder.com/guides/agent-skill/

## Install and import

```bash
npm install fintech-algorithms
```

```ts
import { fibonacciPivotPoints } from "fintech-algorithms/geometric-chart-patterns/pivots-and-levels/fibonacci-pivot-points";
```

## Signature

```ts
fibonacciPivotPoints(input)
```

Takes the same `(H + L + C) / 3` pivot as the classic variant but places the bands at Fibonacci fractions of the previous bar's range: `r1`/`s1` at 0.382 of it and `r2`/`s2` at 0.618.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `TopicInput` | yes | `bars` is the required OHLCV history, strictly ordered by `timestamp` and on a single adjustment basis. This variant reads no keys from `parameters`; the 0.382 and 0.618 fractions are fixed in the implementation. `period` (default `20`) is still validated as an integer of at least 2 if supplied. |

## Returns

`TopicResult`

`series` and `latest` carry `pivot`, `r1`, `s1`, `r2` and `s2`. The warm-up is one bar, because every value is derived from the preceding bar.

## Warm-up

The first `1 bar` positions are `null`. Index 0 is null across all five series; `ready_at` is 1 for any input of two or more bars.

## Errors

- When a bar's `high` is below its own `open`, `close`, or `low` (or `low` is above them) — throws Error
- When `parameters` is supplied as something other than a plain object — throws Error

## Complexity

Time `O(n)`, space `O(n)`.

## Worked example

Captured by running this function on the input its own test provides. Real output of real code — but not asserted against a published figure.

### Input

`input`:

```json
{
  "bars": [
    {
      "timestamp": "2024-01-02",
      "basis": "synthetic-unadjusted",
      "open": 100,
      "high": 101.45,
      "low": 98.695,
      "close": 100,
      "volume": 750000,
      "benchmark": 200
    },
    {
      "timestamp": "2024-01-03",
      "basis": "synthetic-unadjusted",
      "open": 101.49111452,
      "high": 103.38381693,
      "low": 100.05480022,
      "close": 101.78791214,
      "volume": 795117,
      "benchmark": 200.56326135
    },
    {
      "timestamp": "2024-01-04",
      "basis": "synthetic-unadjusted",
      "open": 102.45519048,
      "high": 104.6701838,
      "low": 100.91147007,
      "close": 102.9549389,
      "volume": 840234,
      "benchmark": 201.11020913
    }
  ],
  "parameters": {}
}
```

### Call

```ts
fibonacciPivotPoints(input)
```

### Returns

object with 9 fields: topic_id, title, state, ready, ready_at, series, latest, parameters, …

```json
{
  "topic_id": "D08-F01-A06",
  "title": "Fibonacci Pivot Points",
  "state": "calculated",
  "ready": true,
  "ready_at": 1,
  "series": {
    "pivot": [
      null,
      100.04833333333333,
      101.74217643000001,
      102.84553092333333,
      103.11026585,
      102.75204238333333
    ],
    "r1": [
      null,
      101.10074333333334,
      103.01386081322,
      104.28135956819334,
      104.61482444292,
      104.21510088589334
    ],
    "s1": [
      null,
      98.99592333333332,
      100.47049204678002,
      101.40970227847332,
      101.60570725708001,
      101.28898388077333
    ],
    "r2": [
      null,
      101.75092333333333,
      103.79950875678001,
      105.16841600847333,
      105.54434231708001,
      105.11897996077333
    ],
    "s2": [
      null,
      98.34574333333333,
      99.68484410322002,
      100.52264583819333,
      100.67618938292,
      100.38510480589333
    ]
  },
  "latest": {
    "pivot": 101.55414906333333,
    "r1": 102.74645655493333,
    "s1": 100.36184157173332,
    "r2": 103.48306537173332,
    "s2": 99.62523275493334
  },
  "parameters": {},
  "diagnostics": {
    "causal": true,
    "input_count": 96
  }
}
```

## Verification and provenance

Tier: **verified** (via E).

The worked example below is the figure published in this algorithm's article, replayed and asserted by the test suite on every build. The arithmetic cannot drift without the build failing.

Both tiers guarantee the signature. Full explanation: https://docs.thefintechbuilder.com/guides/verification/

Generated from the docs.json payload shipped inside fintech-algorithms@0.13.0.
The signature and parameter list are checked against the compiled implementation at build time,
so a description that contradicts the code fails the build rather than reaching this file.

## Links

- Article (how it works, step by step): https://thefintechbuilder.com/geometric-chart-patterns/pivots-and-levels/fibonacci-pivot-points/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/geometric-chart-patterns/pivots-and-levels/fibonacci-pivot-points/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/geometric-chart-patterns/llms.txt