# Price Relative

`D07-F08-A07` · Technical Indicators → Price Transforms · archetype `series-transform` · difficulty 2/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/technical-indicators/price-transforms/price-relative/
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 { priceRelative } from "fintech-algorithms/technical-indicators/price-transforms/price-relative";
```

## Signature

```ts
priceRelative(input)
```

Rebases the ratio of close to a benchmark level so the first bar equals `base`, producing a relative-strength line.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `TopicInput` | yes | `bars` needs `timestamp`, `close` and a positive `benchmark` on every bar. From `parameters` this topic reads `base` (default 100, a finite number of at least 0). |

## Returns

`TopicResult`

`series` holds a single `value`, `base` times the close-to-benchmark ratio divided by that ratio on the first bar, and `latest` its last element. Every bar produces a value, so there is no warm-up.

## Warm-up

The first `none` positions are ``base` on the first bar, 100 by default`. `ready_at` is 0. The rebasing anchor is the first bar of the input, so the line is only comparable across runs that start at the same bar.

## Errors

- When any bar is missing `benchmark`, or carries one that is zero or negative — throws Error
- When the first bar's close divided by its benchmark is 0 — throws Error
- When `base` is negative or not a finite number — 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
priceRelative(input)
```

### Returns

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

```json
{
  "topic_id": "D07-F08-A07",
  "title": "Price Relative",
  "state": "calculated",
  "ready": true,
  "ready_at": 0,
  "series": {
    "value": [
      100,
      101.50205122798776,
      102.38658628558109,
      102.40022103095427,
      101.76610843670669,
      101.0050531589489
    ]
  },
  "latest": {
    "value": 95.80918058424696
  },
  "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/technical-indicators/price-transforms/price-relative/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/technical-indicators/price-transforms/price-relative/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/technical-indicators/llms.txt