VWAP Standard-Deviation Bands vs an Expected Range

VWAP bands and an expected-range band both use a standard deviation, which is where the resemblance ends. VWAP bands measure how far price has dispersed around a volume-weighted average anchored to a session or a chosen start. An expected-range band measures how large recent returns have been and projects that onto the next close from the prior close. One describes a session's shape; the other describes the next bar's likely distance.

What does each one measure?

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A VWAP band widens as the session's prices spread out around their average. Its width depends on where the anchor was placed and resets when the anchor does. An expected-range band has no session anchor; its width depends only on the last roughly 60 returns.

Which one can be scored for accuracy?

Only a range with a stated rate can be scored on coverage. VWAP bands carry no rate, and Oisigma has not published a VWAP test, so nothing here says how VWAP bands would score. The expected-range band's rates are on the Proof page, and the scoring procedure is explained in how to compare band indicators. These are historical calibration figures; past behavior is not a guarantee of future results.

Why does the measurement space matter?

VWAP bands are drawn in price space, so a session with a drift spreads prices around the average and widens the band whether or not the bar-to-bar moves were large. An expected-range band is drawn in return space, where a steady drift of small moves keeps the band narrow. Return space vs price space covers the mechanism, and the intraday article covers what has been published below the daily timeframe, which is SPY only, inner band only.

What does this comparison not show?

It does not show that either tool helps a trader. The paper validates the range's calibration, not the profitability of any use, and whether a use delivers value after costs is an open question. VWAP serves purposes outside this comparison, such as describing where a session's volume traded. The expected-range band is an expected range, not a claim that price reverses at its edges.

Frequently asked questions

Does VWAP use volume and the expected range not?

Yes. VWAP weights price by volume; the expected-range band uses closing prices only, with no volume input.

Do VWAP bands reset every day? A session VWAP does, and an anchored VWAP resets at the chosen anchor. The expected-range band does not reset; its window rolls forward one bar at a time.

Can an expected range be used on the same intraday chart as VWAP? Both can sit on one chart. No published test examines the combination, so this post makes no claim about it.

The method is in the working paper. The Behavioral Transform Model runs on TradingView with a 30-day free trial: start free, cancel anytime.

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