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2005issue C121-2

Constructing Bollinger bands versus fixed trading bands

A trading-band can mark price as relatively high or low only after you choose the offset rule. A fixed-percentage-offset keeps a constant gap from a moving average, while a standard-deviation-offset lets a bollinger-band change width with volatility without turning the outer lines into entry or exit rules.

  • A trading-band is a two-line envelope placed a predefined distance from a chosen moving average so the lines mark the upper and lower bounds of a price move.
  • Ordinary trading bands use a fixed-percentage-offset. A bollinger-band uses a standard-deviation-offset, so the envelope width adjusts with volatility instead of staying at a constant gap.
  • The bands are a relative high-low reading meant to be paired with another analytical tool, not standalone buy or sell signals.
  • Price touching an outer band is not treated as an entry or exit by itself. The envelope stays a high-low reference even if the moving-average length or the number of deviations is changed.
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How a moving-average envelope is built

Trading bands, sometimes called envelopes, are constructed by placing two lines a predefined distance from a chosen moving average so they mark the upper and lower bounds of a price move. That two-line envelope is a trading-band: the lines act as visual high and low boundaries around price.

Those bands are framed as a relative reading of whether price is high or low, not as standalone buy or sell signals, and are meant to be paired with another analytical tool.

Editorial: a moving-average envelope answers whether price is relatively high or low only after you choose the offset rule that places the outer lines.

Fixed percentage versus standard-deviation offsets

Ordinary trading bands sit a predetermined fixed percentage above and below the moving average. That constant gap is a fixed-percentage-offset, independent of changing volatility.

Bollinger lines sit at standard-deviation distances from a moving average. That placement is a standard-deviation-offset: each outer line sits a stated multiple of recent price dispersion above or below the middle average.

Because standard deviation is a volatility measure, the Bollinger construction adjusts its own width instead of remaining at a constant offset. The three-line envelope is a bollinger-band whose outer lines expand and contract with volatility.

What the three lines describe

A common default uses a 20-period simple moving average as the middle line, with the outer lines two 20-period standard deviations above and below that average, usually from daily closes. That central line is the middle-band, the trend reference from which the outer lines are measured.

In that three-line layout the outer bands describe high and low volatility while the middle band describes the trend.

S&P 500 daily with 20-period Bollinger Bands

Daily S&P 500 from mid-2004 into August 2005 sits inside a 20-period, two-standard-deviation envelope: the orange middle band tracks the 20-day average while the blue outer bands widen and narrow with volatility. Numbers were read off the eSignal plot in the source, not from a printed table, so they are approximate closes and band levels.
Daily S&P 500 from mid-2004 into August 2005 sits inside a 20-period, two-standard-deviation envelope: the orange middle band tracks the 20-day average while the blue outer bands widen and narrow with volatility. Numbers were read off the eSignal plot in the source, not from a printed table, so they are approximate closes and band levels.S&P 500 ($SPX) · D · 2004-06-01T00:00:00.000Z to 2005-08-16T00:00:00.000Z

Source plot is daily OHLC with a 20-period simple moving average plus or minus two 20-period standard deviations, usually on closes. Digitized at roughly monthly marks because the raster does not support bar-by-bar precision.

Touches are not entry or exit rules

Price touching an outer band is not treated as an entry or exit by itself. A move that begins at one band often continues toward the opposite band, and closes outside the envelope are more often read as continuation than reversal.

The moving-average length and the number of deviations can be changed, but the envelope remains a high-low reference and is not intended as the sole reason to enter or exit.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
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20061-2 pp.Next on Bollinger BandsSquared versus absolute deviation in envelope constructionWhen the same inputs are used and the constants are equalized, the main construction difference between Bollinger Bands and the commodity channel index is standard deviation versus mean absolute deviation.
All readings on this track · 45 readings
  1. 1992Constructing volatility-scaled bands with relative strength index confirmation
  2. 1994Implied volatility as a band-defined regime filter for index options
  3. 1995Constructing projection bands from least-squares slopes
  4. 1995Constructing regression projection bands and range oscillators
  5. 1996Constructing Bollinger bands, percent-b, and stochastics
  6. 1996Constructing mechanical rules from Bollinger Bands and stochastics
  7. 1996Constructing a standard-error envelope around a linear regression
  8. 1996Dual-horizon ratio envelopes and regression error channels
  9. 1997Rational group structure with a trend screen, RSI, and bands
  10. 1997Asymmetric volatility band construction
  11. 1998Constructing three-state filters from Bollinger band envelopes
  12. 1999Combination filters with Bollinger Bands and the relative strength index
  13. 1999Constructing stochastic timed exits and band-RSI reversals
  14. 1999Evaluating Bollinger Bands against fixed-width and range-based envelopes
  15. 2000Constructing a Bollinger Band target as a forward price
  16. 2001Numeric candlestick encoding with local size bands
  17. 2001Ranked candlestick sentiment to band-cross entries
  18. 2002Combining Bollinger Bands, RSI, and a stop-loss
  19. 2002Bollinger Bands remain filters, not forecasts
  20. 2002Constructing a stochastic RSI with Bollinger bands
  21. 2002Constructing a StochRSI and Bollinger mechanical system
  22. 2003Constructing volatility-scaled Bollinger envelopes
  23. 2003Why tick breadth fails as a market personality
  24. 2005Constructing Bollinger bands versus fixed trading bands
  25. 2006Squared versus absolute deviation in envelope construction
  26. 2006Confirming yen crossovers with implied volatility and bands
  27. 2006A daily candle reversal is a hypothesis until shorter sessions fail at the same zone
  28. 2008Rebuild the Relative Strength Index as price-scale bands
  29. 2008Reading Relative Strength Index extremes on one price axis with Bollinger Bands and moving averages
  30. 2011Three-filter confirmation for short-swing futures
  31. 2011Constructing an inverse Fisher stochastic with bands and averages
  32. 2012Constructing a Bollinger Band indicator suite
  33. 2012Stacking price extremes, crossovers, bands, and MACD
  34. 2012Adaptive Bollinger band impulse, trend, and momentum filters
  35. 2013Rescaling stochastic, percent-B, and wave-count parameters
  36. 2014Industry-group quartile pivots as a Bollinger Bands case study
  37. 2014Bollinger Bands as adaptive price envelopes: a 2014 classroom case
  38. 2016Trend-channel entry rules from stacked moving averages
  39. 2016A permission stack for Bollinger, RSI, and the 50-period average
  40. 2017Constructing weighted Bollinger bands and volume averages
  41. 2017Four swing-entry rules that share a timed exit
  42. 2017Two-wave monthly cycles as a regime filter
  43. 2019Constructing exponential-deviation-bands from a midline-average
  44. 2020Critiquing exponential variants of Bollinger Bands
  45. 2020Constructing selectable volatility and moving-average bands
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