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1995issue C071-3

Constructing price envelopes from averages, volatility, and regression

Trading bands, also called envelopes, are drawn as visible outer boundaries intended to contain a security's price path. The same construction discussion shows three width rules: a percentage-envelope around a moving average, a bollinger-band that widens and contracts with measured variability, and a linear-regression-channel whose parallel rails sit equally far from a least-squares-line.

  • Trading bands, also called envelopes, are drawn as visible outer boundaries intended to contain a security's price path, and the construction treats an upper-band touch as a sell signal and a lower-band touch as a buy signal.
  • A percentage-envelope uses a moving-average midpoint with a fixed percentage offset. One illustrated case uses a 20-day average with 2% offsets.
  • A Bollinger-band places edges two standard deviations from a simple moving-average midpoint, so the corridor widens or contracts when measured variability rises or falls.
  • A linear-regression-channel draws parallel rails at equal distance from a least-squares-line. Band-derived signals are described as needing confirmation because price can travel along one edge in a band-walk, especially in strong trends.
Entries in this reading3 entries
Current trackPrice channel77 readingsBollinger Bands84 readingsLinear regression112 readings

Trading bands as visible corridors

Trading bands, also called envelopes, are drawn as visible outer boundaries intended to contain a security's price path. The trading-band is that pair of outer lines, a corridor meant to contain typical movement.

The construction is described as treating an upper-band touch as a sell signal and a lower-band touch as a buy signal.

An early method sketched smoothed waves that tracked the highest and lowest highs for the upper edge and the highest and lowest lows for the lower edge, then projected that pattern forward.

A fixed percent around an average

A later construction uses a moving average as the midpoint and offsets the bands by a fixed percentage. The result is a percentage-envelope: a corridor whose edges sit a fixed fraction above and below that moving-average midpoint. One illustrated case uses a 20-day average with 2% offsets.

A rolling standard-deviation rail

Bollinger-band construction starts from a simple moving-average midpoint and places the bands two standard deviations above and below that average. The bollinger-band is a volatility-scaled corridor: when measured variability rises or falls, those standard-deviation bands widen or contract so typical price movement stays inside the corridor.

One illustrated Bollinger-band specification plots two standard deviations of the prior 20 days around a 20-day moving average. The figure notes that the bands tighten before new short-term trends.

A parallel channel around a fitted line

Price channels built from trendlines are a distinct envelope form. A price-channel takes its edges from trendline geometry rather than from a percent or standard-deviation offset.

A linear-regression-channel places a least-squares-line equidistant from prices above and below it, then draws parallel lines the same distance on each side. A least-squares-line is a straight fitted line placed so prices above and below it are, in aggregate, equally distant from the line.

In that regression-channel construction, the upper parallel is meant to resemble a high-side resistance line and the lower parallel a low-side support line, giving a visual cue when the trend structure changes.

S&P 500 inside 2 percent bands around a 20-day average

A 20-day average with a fixed 2 percent offset holds most of the 1993 S&P 500 advance inside a corridor, then fails when the April 1994 break drives the index through the floor. Levels were read from the plotted sidebar chart, not from a printed table, so they are approximate to the nearest index point.
A 20-day average with a fixed 2 percent offset holds most of the 1993 S&P 500 advance inside a corridor, then fails when the April 1994 break drives the index through the floor. Levels were read from the plotted sidebar chart, not from a printed table, so they are approximate to the nearest index point.S&P 500 · daily · 1992-11-01T00:00:00.000Z to 1994-04-30T00:00:00.000Z

The source fixes the midpoint as a 20-day moving average and the width as 2 percent above and below that average. Digitized from the SuperCharts window dated 6 April 1994; the raster supports about one index point of precision, not tenths.

Confirmation after a band touch

Band-derived signals are described as needing confirmation from other indicators because prices can travel along one band for a long interval, especially in strong trends, before crossing to the opposite side. That stretch is a band-walk, in which price travels along one envelope edge instead of promptly crossing toward the opposite edge.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
19 of 55 in the Price channel track
19961-12 pp.Next on Price channelConstructing trendlines and channels from explicit swingsAn uptrend-line connects a sequence of significant lows while price is forming higher lows and higher highs. A downtrend-line connects a sequence of significant highs while price is forming lower highs and lower lows.
All readings on this track · 55 readings
  1. 1988Constructing price channels from trendlines
  2. 1988Three-point curved trend channel construction
  3. 1988Least-squares construction of channel trendlines
  4. 1988Three-zone price channel from quadratic smoothing
  5. 1989A variable-sensitivity stochastic built on three-sigma bounds
  6. 1989Close-minus-average oscillator for channel extremes
  7. 1989The six-stage hunt as a critique of one-click heroics
  8. 1990Fair-value gaps and a copper moving-average channel
  9. 1990Diversify markets, not systems, to cut trend-system variance
  10. 1991Constructing trendlines, price channels, and close-based breakouts
  11. 1991Constructing seasonal-cycle overlays with channel confirmation
  12. 1993Lag-compensated exponential trend channel construction
  13. 1993Constructing a lead-lag filter and price channel as one stack
  14. 1993Three stochastic warnings still need price-channel confirmation
  15. 1993Lead-lag smoothing for weekly trend-channel construction
  16. 1993Constructing zero-net-lag price channels
  17. 1995From a downtrend-line break to a regression channel
  18. 1995Validated trendline and price channel construction
  19. 1995Constructing price envelopes from averages, volatility, and regression
  20. 1996Constructing trendlines and channels from explicit swings
  21. 1998Fifty percent retracement as a channel regime test
  22. 1998Close-based channel rails as daily scenario maps
  23. 1999Constructing support, resistance, trendlines, and price channels
  24. 2001Cycle composites, price channels, and two-sided signals
  25. 2001Testing horizontal price channels with stops and scale
  26. 2002A two-stage momentum-shift and price-channel process
  27. 2002Wave-by-wave channel construction for Elliott counts
  28. 2002Affine channels as reusable trade hypotheses
  29. 2004Stress-test seasonal windows across regimes, then add channels
  30. 2004Regime permission from trendlines, channels, and range edges
  31. 2004Weekly-average and price-channel states on sector depositary baskets
  32. 2005Oil services catch-up after channel resistance breaks
  33. 2005Constructing a volatility-normalized cycle index
  34. 2005How a Darvas channel becomes a complete entry and exit procedure
  35. 2005Clustered Fibonacci and channel levels in news-driven forex
  36. 2005Treat a consolidating currency market as a time-frame problem
  37. 2005Channel walls that flip roles or recapture price
  38. 2006Stacking candlesticks, crossovers, and price channels
  39. 2006Failed uptrend channel breakout left the euro rangebound
  40. 2006Constructing a Wilson relative price channel from a range-bound strength index
  41. 2007Range bars change when a Bollinger squeeze counts as a breakout
  42. 2009One testable SPY procedure for a price channel, a trend rule, and a seasonal overlay
  43. 2010A gold-miner channel plan from value to false breakouts
  44. 2010A multi-timeframe channel from value to an overvalued zone
  45. 2010Asymmetric price channel construction for congested markets
  46. 2011Phasing many cycles at once with nested envelopes
  47. 2012Constructing adaptive horizontal price channels
  48. 2014Confirming support with trendlines, channels, and retracements
  49. 2015News-sentiment confirmation for support, channel, and volume tests
  50. 2015A three-layer permission stack: moving averages, a price channel, and weekly levels
  51. 2016Entropy-diff as a regime switch between trend following and a price channel
  52. 2017Competing rulers on a pound chart after Brexit
  53. 2017Test consolidation channel breakouts as one procedure
  54. 2020Constructing late-trend longs with a price channel, gap breakout, and trailing stop
  55. 2025Using IBM's multi-year price channel as a breakout teaching case
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