# Price Momentum Oscillator

`D07-F03-A30` · Technical Indicators → Momentum · archetype `series-transform` · difficulty 2/5 · verification **verified**

Full page: https://docs.thefintechbuilder.com/technical-indicators/momentum/price-momentum-oscillator/
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 { priceMomentumOscillator } from "fintech-algorithms/technical-indicators/momentum/price-momentum-oscillator";
```

## Signature

```ts
priceMomentumOscillator(input)
```

Smooths a heavily scaled one-bar rate of change through two successive EMAs, then adds a third EMA as the signal line.

## Parameters

| Name | Type | Required | Notes |
| --- | --- | --- | --- |
| `input` | `TopicInput` | yes | `bars` is a chronological array of OHLCV rows, each with a non-empty `timestamp` plus finite `open`, `high`, `low`, `close` and `volume`. This topic reads no keys from `parameters`: the 1000 multiplier and the 10, 14 and 9 EMA lengths are fixed in the implementation. The shared momentum preamble still validates `period` (default 14), `fast_period` (default 5) and `slow_period` (default 34) before branching, so a bad value for any of them throws even though this topic reads none of them. |

## Returns

`TopicResult`

`series` and `latest` carry two keys: `pmo`, the one-bar rate of change times 1000 smoothed by a 10-period then a 14-period EMA, and `signal`, the 9-period EMA of `pmo`. The two keys have different warm-ups.

## Warm-up

The first `23 bars for `pmo`, 31 bars for `signal`` positions are `null`. The rate of change is null at index 0, the 10-period EMA seeds at index 10 and the 14-period EMA at index 23, so `ready_at` is 23 on the canonical fixture; `signal` remains null until index 31. A previous close of exactly 0 also yields a null.

## Errors

- When `period` is supplied but is not an integer >= 2, even though this topic ignores it — throws Error
- When `bars` is not an array, or is empty — 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
priceMomentumOscillator(input)
```

### Returns

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

```json
{
  "topic_id": "D07-F03-A30",
  "title": "Price Momentum Oscillator",
  "state": "calculated",
  "ready": true,
  "ready_at": 23,
  "series": {
    "pmo": [null, null, null, null, null, null],
    "signal": [null, null, null, null, null, null]
  },
  "latest": {
    "pmo": -1.9891476071954817,
    "signal": -0.3983280999092723
  },
  "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/momentum/price-momentum-oscillator/
- Implementation source: https://github.com/IslamBaraka90/Fintech-Algorithms-Library/blob/main/src/technical-indicators/momentum/price-momentum-oscillator/impl.ts
- Package on npm: https://www.npmjs.com/package/fintech-algorithms
- Domain index for agents: https://docs.thefintechbuilder.com/technical-indicators/llms.txt