VWAP standard deviation bands

VWAP standard deviation bands are envelopes drawn at a chosen number of volume-weighted standard deviations above and below the session VWAP, commonly ±1σ and ±2σ. They measure how far price has stretched from the session's average traded price, in units that scale with the session's own dispersion.

Senzoukria · Glossary · Updated September 2026

The calculation

The bands need two running quantities: the VWAP itself and the volume-weighted variance of price around it. The variance is the sum of volume times the squared distance between each bar's typical price and the VWAP, divided by total volume; its square root is σ. Upper and lower bands sit at VWAP ± k·σ for each multiplier k you choose. Both sums start at the session open and are reset at the next one, so the bands widen through the day as dispersion accumulates and never narrow on their own.

  • Because the VWAP moves while the variance is accumulated, a naive running formula drifts. A weighted online estimator recentred on the current VWAP avoids that.
  • Bars without volume contribute to neither sum. Before the first traded volume there is no VWAP and therefore no band.

Reading an over-extension

  • ±1σ is ordinary rotation around the average price; in a balanced session price spends much of its time inside it.
  • A tag of the +2σ band means price is far above where the session's volume traded. In a range, such extremes tend to rotate back toward VWAP; in a trend, the band itself keeps moving and price can ride it.
  • The band width is a measure of the session's dispersion. A narrow ±2σ late in the day says the session was tight, not that a breakout is imminent.
  • Combine the band touch with what the footprint shows at that price. Absorption at the band and a fresh imbalance through it are two different situations.

In Senzoukria

The overlay is called Session VWAP + σ bands in the VWAP & bands group of the indicator panel. Its parameters are σ multiplier 1 and σ multiplier 2, with defaults of 1 and 2, plus a colour. The bands reset at each 17:00 CT session open on CME data. Anchored VWAP and Rolling VWAP do not carry bands; they are separate overlays.

Common mistakes

  • Treating the bands as fixed support and resistance. They are statistics of the current session and shift with every trade.
  • Comparing band values across platforms that use a different price input or an unweighted standard deviation.
  • Expecting a signal from a band alone. The site's VWAP guide is explicit that the reaction at the level, not the touch, carries the information.

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Frequently asked questions

Are the bands weighted by volume or by time?
By volume. The variance is computed with the same volume weights as the VWAP itself, so a heavy print far from the average widens the bands more than a light one. A time-weighted standard deviation of closes would give a different, usually narrower, envelope.
Why do the bands widen during the day and never narrow?
The sums behind them are cumulative from the session open. Each new bar adds volume and squared distance, so the total dispersion can only grow, although the σ ratio can shrink slowly when many bars trade close to VWAP. The bands reset to nothing at the next session open.
Which multipliers should I use?
The defaults of 1 and 2 are the widely used convention and the ones shown in the site's VWAP guide. Changing them changes how often a touch occurs; it does not change the underlying dispersion. Keep them fixed across a sample before judging what a touch meant.

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