Williams %R

Install and import

bash

npm install fintech-algorithms

import { williams_r } from "fintech-algorithms/technical-indicators/momentum/williams-r";

Signature

williams_r(high, low, close, p)

Where the close sits within the lookback's high–low range, on a −100…0 scale. Arithmetically the inverse of fast %K.

Parameters

Name	Type	Notes
`high`	`number[]`	Per-bar high prices, chronological.
`low`	`number[]`	Per-bar low prices, chronological.
`close`	`number[]`	Per-bar closing prices, chronological.
`p`	`number`	Lookback in bars. min: 1 · integer: true

Returns

Record<string, (number | null)[]> · length same-as-input

A single parallel series, williams_r, ranging from −100 to 0.

Warm-up

The first p − 1 positions are null.

Errors

When p < 1 or is not an integer — throws RangeError
When the input series are not all the same length — throws RangeError

Complexity: time O(n × p), space O(n).

Worked example

executed 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

high

[101, 101.992465, 103.28276, 104.655405, 105.856544, 106.661472]

Showing 6 of 120 elements.

low

[99.08, 99.149664, 100.233798, 101.654978, 103.180913, 104.534685]

Showing 6 of 120 elements.

[100, 100.999214, 102.324548, 103.755998, 105.030823, 105.911843]

Showing 6 of 120 elements.

Call

williams_r(high, low, close, p)

Returns

object with 1 field: williams_r

{
  "williams_r": [null, null, null, null, null, null]
}

Other exports

This module also exports rsi, stochastic, stochastic_rsi, cci, ultimate_oscillator, tsi, connors_rsi. Every module additionally exports run as an alias of its primary function, and a meta object carrying its catalog id, domain, family, shape and article URL.

Diagrams

How it works

This page states the contract — how to call it correctly. The article explains the concept: why it works, and where it breaks.

Read the article →

References

Williams %R (WILLR) — TA-Lib
Stochastic Oscillator Slow (STOCH) — TA-Lib
TA-Lib Technical Analysis Documentation — TA-Lib
Claim-role ledger
Evidence boundary