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2005issue C051-7

Constructing a volatility-normalized cycle index

A normalized cycle index freezes one nested moving-average oscillator and divides it by a dynamic volatility unit so the same geometry can be read on any bar interval. Centered estimates and a twin price channel stay in the lab only to make lag visible.

  • Nested cycle periods of 25, 50, and 100 bars each set a trend-phase interval to half the period, then scale a moving-average difference into a normalized cycle index.
  • A dynamic volatility unit, the standard deviation of minor and subminor oscillations around a centered minor-term average, supplies the one-sigma scale and the 50 percent and 100 percent bands.
  • Centered estimates insert a half-cycle of later bars and are withheld from live use so they can sit beside the real-time series and an unshifted price channel as a lag benchmark.
  • The same 25-bar construction is applied to daily, five-minute, and weekly bars, because longer live cycle series miss extremes and crossings more than the short-horizon index.
Entries in this reading3 entries
Current trackPrice channel77 readingsDominant cycle detection119 readingsMoving average449 readings

What is held fixed

A reference cycle index is built as a volatility-normalized moving-average convergence/divergence series. Nested cycle periods of 25, 50, and 100 bars each receive a trend-phase interval equal to half of that period.

Editorial reading: treat the setup as a construction lab rather than an indicator contest. One nested half-period oscillator stays frozen, its bands stay pinned to a live volatility unit, and a two-sigma price channel sits beside a centered twin so bar length and lag are the only variables under test.

The dynamic volatility unit

The oscillator is divided by a dynamic volatility unit. That unit is the standard deviation of minor and subminor oscillations around a minor-term centered moving average, and it is the one-sigma scale of the normalized cycle index.

Minor-cycle bands sit at plus or minus 50 percent of the dynamic volatility unit. Plus or minus 100 percent is treated as a two-sigma, 95 percent envelope for price action.

Centered estimates as a lag benchmark

A centered estimate inserts a half-cycle of later data, which is 12 bars at the minor horizon. It is withheld from live use so it can serve only as a lag benchmark against the real-time series.

The trend-phase interval is used both as phase-line spacing and as the lag of a centered average.

Twin price channels

A price channel is drawn around a 25-bar average at plus or minus two volatility units. The centered channel uses that average shifted forward by 12 bars. The real-time channel uses the unshifted average.

On the illustrated 100-bar daily sample, the centered two-sigma channel left out about five bars, while the real-time channel showed the displacement produced by lag.

Same geometry on other oscillators

A 12-bar relative-strength oscillator and a 12-bar stochastic oscillator, once scaled and normalized the same way, match the minor-term cycle index in amplitude, phase, and local shape. That match is consistent with the index being a difference of exponential moving averages whose crossings align with oscillator crossings.

A baseline test harness

A baseline test harness marks a candidate reversal when the index reaches or exceeds a 50 percent band and then recrosses it. A stop is added when an open loss is on the order of the displayed one-sigma range.

A continuation mark that appears after a stop is read as a two-way re-entry candidate until an opposite reversal appears inside the same trade sequence.

VeriSign daily minor-cycle index, February–July 2003

On the 100-bar VRSN advance the 25-bar UCI holds above the +50 percent-of-sigma band from mid-March into early June, then breaks down through zero and the lower band. Points were read from the middle pane of the published daily chart against the labeled ±50 and ±100 ticks, to the nearest five index points. Those same ±50 bands are the real-time reversal thresholds in the author's baseline rules.
On the 100-bar VRSN advance the 25-bar UCI holds above the +50 percent-of-sigma band from mid-March into early June, then breaks down through zero and the lower band. Points were read from the middle pane of the published daily chart against the labeled ±50 and ±100 ticks, to the nearest five index points. Those same ±50 bands are the real-time reversal thresholds in the author's baseline rules.VRSN · daily · 2003-02-10T00:00:00.000Z to 2003-07-28T00:00:00.000Z

UCI is a 6/12 EMA MACD scaled as 100 times the spread over dynamic σ0 (sigom), with minor period TM = 25 bars. Centered twins are not on this pane. Raster reading is only good to about ±5 index points.

One construction across bar intervals

The same 25-bar minor period, 12-bar phase interval, and volatility-normalized construction is applied to daily, five-minute, and weekly bars rather than inventing a new oscillator for each horizon.

Compared with their centered counterparts, the 50-bar and 100-bar cycle series miss extremes and crossings more than the 25-bar series. The construction therefore prefers applying the short-horizon index to coarser bars instead of projecting a live oscillator further ahead.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
33 of 55 in the Price channel track
20051-9 pp.Next on Price channelHow a Darvas channel becomes a complete entry and exit procedureA Darvas-style channel is complete only after a high setup is followed by a later low setup, so the box is a two-step construction.
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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All 77 readings tagged Price channel
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