FTB-C000426 / Formula component

Williams-Stochastic Identity

Williams-Stochastic Identity states that Williams Percent R equals Fast Stochastic Percent K minus 100 when both use identical inputs and lookback.

Also known as%R and %K identity

Intermediate Formula defined 1 linked topicPublished

Definitions

In plain terms

The two indicators contain the same range-location information on shifted scales.

Technical

The identity requires identical high, low, close, window, zero-range, readiness, and precision conventions.

Scope

It fails operationally when implementations use different inputs or window rules.

Formula

Williams %R = Fast %K - 100
LaTeX: W\%R_t=K^f_t-100
SymbolMeaningUnit
Fast %Kfast stochastic percent Kpercent

Output unit: percentage points

Examples

  • A governed lesson calculates or identifies Williams-Stochastic Identity only after its inputs, window, state, scale, and edge cases are declared.

Common misconceptions

  • It fails operationally when implementations use different inputs or window rules.

Concept relationships

Prerequisites

Related

Where this concept is used

Tutorials planned

These catalogued topics use this concept, but their complete build has not shipped yet.

  • D07-F03-A04 Important

Evidence and governance

  1. Williams Percent R TA-Lib · first party technical publication

    Supports: preferred label, short definition, technical definition, formula

    Limits: Lookback endpoints, zero-range behavior, and threshold interpretation remain implementation and research choices.

Reviewed by
fintech-builder-batch-008
Last reviewed
2026-07-29
Next review
2027-07-29
Record status
published
Written by

Fintech engineer building market-data and financial systems, and the author of every article, glossary record, and reference implementation on The Fintech Builder.