FTB-C000317 / Formula component

Wilder Alpha

Wilder Alpha is the smoothing constant one divided by the declared Wilder period.

Also known asRMA alpha

Foundation Formula defined 2 linked topicsPublished

Definitions

In plain terms

It gives a period-n RMA more persistence than a common span-n EMA using 2/(n+1).

Technical

The period must be positive and its label must not be silently converted into another alpha convention.

Scope

Equal period labels do not imply equal decay across RMA and standard EMA.

Formula

Wilder alpha = 1 / n
LaTeX: \alpha_W=\frac{1}{n}
SymbolMeaningUnit
nWilder smoothing periodobservations

Output unit: ratio

Examples

  • A governed lesson uses Wilder Alpha only with declared inputs, timing, parameters, and edge-case behavior.

Common misconceptions

  • Equal period labels do not imply equal decay across RMA and standard EMA.

Concept relationships

Related

Required by

Where this concept is used

Tutorials planned

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

  • D07-F01-A04 Important
  • D07-F02-A05 Important

Evidence and governance

  1. Wilder Smoothing in TA-Lib RSI TA-Lib · first party technical publication

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

    Limits: The source is an RSI implementation; applying the recurrence to a standalone RMA requires an explicit input and readiness contract.

Reviewed by
fintech-builder-batch-006
Last reviewed
2026-07-27
Next review
2027-07-27
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.