FTB-C000367 / Formula component

Wilder Smoothed True Range

Wilder Smoothed True Range is the recursively updated Wilder sum of one-bar true-range values.

Also known assmoothed TR sum

Definitions

In plain terms

It starts from a declared n-value sum and then subtracts one-nth of prior state before adding current true range.

Technical

The seed window, period, first-ready point, missing bars, resets, precision, and revision suffix must be frozen.

Scope

It is a smoothed sum used in directional indicators, not necessarily the reported ATR average.

Formula

Smoothed TR_t = Smoothed TR_(t-1) - Smoothed TR_(t-1)/n + TR_t
LaTeX: STR_t=STR_{t-1}-\frac{STR_{t-1}}{n}+TR_t
SymbolMeaningUnit
STR_(t-1)prior smoothed true-range sumprice
nWilder periodobservations
TR_tcurrent true rangeprice

Output unit: price

Examples

  • A governed lesson calculates or identifies Wilder Smoothed True Range only after its parameters, state, timing, and edge cases are declared.

Common misconceptions

  • It is a smoothed sum used in directional indicators, not necessarily the reported ATR average.

Concept relationships

Where this concept is used

Tutorials planned

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

  • D07-F02-A04 Important

Evidence and governance

  1. TA-Lib Directional Movement Index Implementation TA-Lib · first party technical publication

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

    Limits: Zero-denominator and compatibility behavior can differ from the Fintech Builder package and must be stated explicitly.

Reviewed by
fintech-builder-batch-007
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.