# Technical Indicators — fintech-algorithms

> 37 algorithms in 5 families, sliced out of the
> fintech-algorithms reference. Zero-dependency TypeScript: plain arrays and objects in,
> plain values out. This file covers D07 only.

D07 · 37 topics · 5 families · 37 verified
Install: npm install fintech-algorithms
Agent skill (install it rather than re-deriving this file): npx skills add IslamBaraka90/Fintech-Algorithms-Library
  what it is: https://docs.thefintechbuilder.com/guides/agent-skill/
Source: fintech-algorithms@0.12.0 · payload schema 2.0.0
Reference payload: https://docs.thefintechbuilder.com/reference/payload.json
Version endpoint: https://docs.thefintechbuilder.com/version.json
Domain page: https://docs.thefintechbuilder.com/technical-indicators/
Full index (324 topics across 13 domains): https://docs.thefintechbuilder.com/llms.txt

Verification tiers:
- verified — the worked example is the figure published in the algorithm's article, replayed
  and asserted by the test suite on every run. The arithmetic cannot drift without the build
  failing. Treat the numbers as reproducible.
- contract — the module loads, the entry point is callable and its declared signature matches
  the compiled code. The example is real captured output, but no independently published
  figure asserts it. Treat the shape as reliable and the numbers as unattested.
Full explanation: https://docs.thefintechbuilder.com/guides/verification/

Each entry: name — signature — archetype — verification tier — docs URL
From the docs URL, mechanically:
  import subpath — swap the https://docs.thefintechbuilder.com/ prefix for fintech-algorithms/ and drop the trailing slash
  markdown page  — append index.md; same contract as the HTML page, a fraction of the bytes

## D07-F01 — Trend Smoothing
https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/

- Simple Moving Average (SMA) — `calculateSma(values, window)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/sma/
- Exponential Moving Average (EMA) — `calculateEma(values, span)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/ema/
- Weighted Moving Average (WMA) — `calculateWma(values, window)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/wma/
- Wilder RMA — `calculateRma(values, period)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/wilder-rma/
- Double Exponential Moving Average (DEMA) — `calculateDemaComponents(values, span)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/dema/
- Triple Exponential Moving Average (TEMA) — `calculateTemaComponents(values, span)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/tema/
- Hull MA — `calculateHullMa(values, window)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/hull-ma/
- Kaufman Adaptive Moving Average (KAMA) — `calculateKama(values, efficiencyPeriod, fastPeriod, slowPeriod)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/kama/
- MESA Adaptive Moving Average (MAMA) — `mama(values, fastLimit, slowLimit)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-smoothing/mama/

## D07-F02 — Trend Systems
https://docs.thefintechbuilder.com/technical-indicators/trend-systems/

- MACD — `macd(values, fastSpan, slowSpan, signalSpan)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/macd/
- Percentage Price Oscillator (PPO) — `ppo(values, fastSpan, slowSpan, signalSpan)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/percentage-price-oscillator/
- Aroon Up, Down, and Oscillator — `aroon(high, low, period)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/aroon/
- Directional Movement — `directionalMovement(high, low, close, period)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/directional-movement/
- Average Directional Index (ADX) — `adx(high, low, close, period)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/adx/
- Ichimoku Cloud — `ichimoku(high, low, close, conversionPeriod, basePeriod, spanBPeriod, displacement)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/ichimoku-cloud/
- Parabolic SAR — `parabolicSar(high, low, initialDirection, accelerationStep, accelerationMax)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/parabolic-sar/
- Supertrend — `supertrend(high, low, close, period, multiplier)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/trend-systems/supertrend/

## D07-F03 — Momentum
https://docs.thefintechbuilder.com/technical-indicators/momentum/

- Relative Strength Index (RSI) — `rsi(close, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/rsi/
- Stochastic Oscillator — `stochastic(high, low, close, kp, sk, sd)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/stochastic-oscillator/
- Stochastic RSI — `stochasticRsi(close, rp, sp, sk, sd)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/stochastic-rsi/
- Williams %R — `williamsR(high, low, close, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/williams-r/
- Commodity Channel Index (CCI) — `cci(high, low, close, p, k)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/cci/
- Ultimate Oscillator — `ultimateOscillator(high, low, close, s, m, g)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/ultimate-oscillator/
- True Strength Index (TSI) — `tsi(close, g, s)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/tsi/
- Connors RSI — `connorsRsi(close, pp, sp, rp)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/momentum/connors-rsi/

## D07-F04 — Volatility and Channels
https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/

- True Range — `trueRange(high, low, close)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/true-range/
- Average True Range (ATR) — `averageTrueRange(high, low, close, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/atr/
- Bollinger Bands — `bollingerBands(close, p, multiplier)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/bollinger-bands/
- Keltner Channels — `keltnerChannels(high, low, close, emaPeriod, atrPeriod, multiplier)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/keltner-channels/
- Donchian Channels — `donchianChannels(high, low, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/donchian-channels/
- Bollinger BandWidth — `bollingerBandwidth(close, p, multiplier)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volatility-and-channels/bollinger-bandwidth/

## D07-F05 — Volume Indicators
https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/

- On-Balance Volume (OBV) — `obv(close, volume, initial)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/obv/
- Accumulation/Distribution Line — `accumulationDistributionLine(high, low, close, volume, initial)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/accumulation-distribution-line/
- Chaikin Money Flow — `chaikinMoneyFlow(high, low, close, volume, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/chaikin-money-flow/
- Money Flow Index — `moneyFlowIndex(high, low, close, volume, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/money-flow-index/
- Volume Price Trend — `volumePriceTrend(close, volume, initial)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/volume-price-trend/
- Force Index — `forceIndex(close, volume, p)` — series-transform — verified — https://docs.thefintechbuilder.com/technical-indicators/volume-indicators/force-index/