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2017issue C088-13

How lookbacks, sign, and bands construct a volatility oscillator

A lookback standard deviation is divided by a simple moving average of the same length and multiplied by 100 so the series is a normalized percentage of that average. The reading is signed from a short versus long average, bands sit at the highest normalized standard deviation, and later price confirmation is required after a band touch, squeeze, or divergence.

  • The oscillator divides a lookback standard deviation by a simple moving average of the same length and scales the ratio so it is a normalized percentage of that average.
  • Its sign comes from whether a short simple moving average sits above or below a longer one, and a zero second parameter uses the close in place of the short average.
  • Bands sit above and below the zero line at the highest normalized standard deviation over a chosen lookback, while the oscillator itself is unbounded.
  • A band touch, squeeze, or divergence is treated as incomplete until price leaves a range or breaks a trendline, support, or resistance.
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How the oscillator is built

The oscillator is built by taking a lookback standard deviation, dividing it by a simple moving average of the same length, and multiplying the ratio by 100 so the series is a normalized percentage of that moving average. That construction is the relative volatility index, a normalized volatility oscillator (VolatOsc) that is later signed so the series can cross a zero line.

Sign, parameters, and the zero line

The oscillator is positive when a short simple moving average is above a longer one and negative when the short average is below. A zero second parameter replaces the short average with the close. A common default parameter triple is 20, 3, and 20, and those three numbers may be changed to match a different sampling style.

Band placement

Volatility bands sit above and below the zero line at the highest normalized standard deviation over a chosen band lookback, while the oscillator itself is unbounded. The same normalized standard-deviation series supplies those envelope levels. The bands can be read alongside Bollinger BandWidth as squeeze or expansion context.

Overbought and oversold readings

A touch of the upper band is treated as an overbought reading and a touch of the lower band as an oversold reading. In a strong directional move those readings can persist instead of reversing.

Divergence and later confirmation

A bullish divergence is a lower price low against a higher oscillator low. A bearish divergence is a higher price high against a lower oscillator high. Both are presented as needing later confirmation.

Price breakout as confirmation

Breakout confirmation is defined as price leaving a range or breaking a trendline, support, or resistance after an oscillator band touch, squeeze, or divergence. Chart examples treat unconfirmed oscillator touches as incomplete.

Oscillator squeeze and BandWidth

A band squeeze on the oscillator together with relatively low Bollinger BandWidth is shown as a contraction setup that can precede a later trendline break.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
6 of 7 in the Relative Volatility Index track
20178-9 pp.Next on Relative Volatility IndexBuilding a signed relative-volatility oscillatorA relative-volatility-index is formed by dividing the lookback standard deviation of closing prices by a simple moving average of those closes and multiplying the ratio by 100.
All readings on this track · 7 readings
  1. 1990Constructing a two-line relative volatility index
  2. 1993A volatility-direction filter for dual moving-average crossovers
  3. 1995Constructing the relative volatility index and inertia
  4. 1995Constructing a high-low relative volatility trend filter
  5. 2005Genetic optimization of relative-volatility crossover rules
  6. 2017How lookbacks, sign, and bands construct a volatility oscillator
  7. 2017Building a signed relative-volatility oscillator
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