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

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