PrismWMA (Rolling)

7月27日

# PrismWMA (Rolling)

Overview
PrismWMA computes rolling VWMA, TWMA and TrueWMA over a fixed lookback window, then plots dynamic volatility bands around each. It’s the rolling-window counterpart to PrismWAP’s anchored spans, giving you per-bar, up-to-date average levels and band excursions.

How It Works
Every bar, PrismWMA:
• Calculates VWMA, TWMA and TrueWMA over the last wmaWindowLen bars.
• Computes your chosen volatility measure (Std Dev, MAD, ATR-scaled) or Percent of WMA over volWindowLen bars.
• Draws upper/lower bands as ±mult × volatility (or ±mult % of the WMA in Percent mode).

Inputs
Settings/Default/Description
WMA Lookback (bars)/50/Number of bars for rolling WMA
Volatility Measure/Std Dev/Band width method: Std Dev, MAD, ATR (scaled), or Percent of WMA
Volatility Lookback (bars)/50/Number of bars used to compute rolling volatility
Band Multiplier (or %)/3.0/Multiplier for band width (or percent of WMA in Percent mode)
Scale MAD to σ/true/When MAD is selected, scale by √(π/2) so it aligns with σ
Display
• Show VWMA true
• Show TWMA true
• Show TrueWMA true
• Show VBands false
• Show TBands false
• Show TrueBands true

References:
1. TrueWMA Description

## 1. TrueWMA: Volatility-Weighted Price Averaging

What Is TrueWMA?
TrueWMA weights each bar’s TrueMid (TrueRange midpoint) by its TrueRange, so high-volatility bars carry more influence. It blends price level and volatility into one moving average

Pseudocode
// TWMA Example for Comparison
window_size = 50
OHLC = (Open + High + Low + Close) / 4
TWMA = MA(OHLC, window_size)

// VWMA Example for Comparison
window_size = 50
HLC3 = (High + Low + Close) / 3
VWMA = Sum(HLC3 * Volume, window_size) / Sum(Volume, window_size)

// TrueWMA (Rolling)
window_size = 50
max_val = Maximum(Close[-1], High)
min_val = Minimum(Close[-1], Low)
true_mid = (max_val + min_val) / 2
TrueWMA = Sum(true_mid * TrueRange, window_size) / Sum(TrueRange, window_size)

Interpretation
For each bar, Rolling TrueWMA:
• Computes a TrueMid (“contextual midpoint”) from the prior close and the current bar’s high/low.
• Weights each TrueMid by that bar’s TrueRange.
• Divides the sum of those weighted midpoints by the total TrueRange over the lookback window.
The result is a single series that dynamically blends price levels with recent volatility.

7月28日

發行說明

# PrismWMA (Rolling)

Overview
PrismWMA computes rolling VWMA, TWMA and TrueWMA over a fixed lookback window, then plots dynamic volatility bands around each. It’s the rolling-window counterpart to PrismWAP’s anchored spans, giving you per-bar, up-to-date average levels and band excursions.

How It Works
Every bar, PrismWMA:
• Calculates VWMA, TWMA and TrueWMA over the last wmaWindowLen bars.
• Computes your chosen volatility measure (Std Dev, MAD, ATR-scaled) or Percent of WMA over volWindowLen bars.
• Draws upper/lower bands as ±mult × volatility (or ±mult % of the WMA in Percent mode).

Inputs
Settings Description
WMA Lookback (bars) Number of bars for rolling WMA (applies to VWMA, TWMA, TrueWMA)
Volatility Measure Band width method: Std Dev, MAD, ATR (scaled), or Percent of the WMA
Volatility Lookback (bars)Number of bars used to compute rolling volatility
Band Multiplier (or %) Multiplier for band width (or percent of WMA in Percent mode).
Scale MAD to σ Scale Mad by √(π/2) so it aligns with σ under Normal distribution

Display
• Show VWMA
• Show TWMA
• Show TrueWMA
• Show VBands
• Show TBands
• Show TrueBands

References:
1. TrueWMA Description



## 1. TrueWMA: Volatility-Weighted Price Averaging

What Is TrueWMA?
TrueWMA weights each bar’s TrueMid (TrueRange midpoint) by its TrueRange, so high-volatility bars carry more influence. It blends price level and volatility into one moving average

In short, it’s a *TrueRange-weighted TrueMid average*.

Pseudocode
// TWMA Example for Comparison
window_size = 50
OHLC = (Open + High + Low + Close) / 4
TWMA = MA(OHLC, window_size)

// VWMA Example for Comparison
window_size = 50
HLC3 = (High + Low + Close) / 3
VWMA = Sum(HLC3 * Volume, window_size) / Sum(Volume, window_size)

// TrueWMA (Rolling)
window_size = 50
max_val = Maximum(Close[-1], High) // TrueRange High
min_val = Minimum(Close[-1], Low) // TrueRange Low
true_mid = (max_val + min_val) / 2 // TrueMid
TrueWMA = Sum(true_mid * TrueRange, window_size) / Sum(TrueRange, window_size)

Interpretation
For each bar, Rolling TrueWMA:
• Computes a TrueMid (“contextual midpoint”) from the prior close and the current bar’s high/low.
• Weights each TrueMid by that bar’s TrueRange.
• Divides the sum of those weighted midpoints by the total TrueRange over the lookback window.
The result is a single series that dynamically blends price levels with recent volatility.