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1999issue C021

Constructing a lagged rate of change cycle system

An assumed 90-day rhythm can be built into one mechanical procedure by placing that rhythm in a lag, reading a short-window close-to-close rate of change from the lagged bar, and testing that reading against a volatility-scaled-threshold. Long and short entries, a holding-clock, and optional protective exits then stay inside a single rule skeleton.

  • The dominant-cycle-rhythm is implemented by lagging the rate-of-change input, not by estimating a new cycle on the decision bar.
  • A long entry requires the lagged-rate-of-change of the close to exceed a volatility-scaled-threshold; the short side is the mirror-entry with the inequality reversed.
  • A holding-clock of 10 bars since fill can exit the trade on its own; a point-based trailing stop and an inactivity-stop are optional protections in the same construction.
  • Default constants can be replaced as a locked set, including a threshold of 3.25 and a 5-bar hold, without changing the rule skeleton.
Entries in this reading3 entries

From a rhythm to a rule

The archive describes a mechanical procedure that can take both long and short positions and that acts with a zero-bar delay between signal and trade.

Editorial: treat the assumed rhythm, the impulse measure, and the trigger as one locked story so entry, exit, and standing aside can be tested without changing that story mid-stream.

Place the cycle in the lag

The cycle premise is stated as a 90-day rhythm. That premise is implemented by lagging the rate-of-change input rather than by estimating a new cycle on the decision bar.

A dominant-cycle-rhythm, in this construction, is an assumed repeating interval that justifies the lag between the current bar and the rate-of-change observation used for the signal.

A lagged-rate-of-change is a short-window close-to-close rate of change read from a fixed number of bars earlier than the decision bar, so the cycle length sits in the lag rather than in a live spectral fit.

Turn impulse into a volatility test

A long entry can be constructed by requiring a lagged short-window rate of change of the close to exceed a constant multiple of that lagged series' 20-period standard deviation.

A volatility-scaled-threshold is a barrier formed by multiplying the recent standard deviation of that lagged rate of change by a chosen constant, then using the positive and negative barriers as opposite entry tests.

The default construction constants shown for those rules are a 3-period rate of change, a 63-bar lag, a 20-period standard deviation, and a threshold multiple of 4.

Add the short side as a mirror-entry

A short entry is the mirror of that test: the same lagged rate of change falling below the negative of the volatility-scaled-threshold.

A mirror-entry is the short-side counterpart of the long rule, using the same lagged series and the same threshold multiple with the inequality reversed.

Exit on a clock, then keep protection optional

A complete procedure can exit on a holding-clock alone, with 10 bars since fill used as the default time stop.

A holding-clock is a time-based exit that closes the position a fixed number of bars after the fill, independent of later price action.

Optional protective exits in the same construction include a point-based trailing stop and an inactivity-stop that applies to both long and short positions after 10 bars.

An inactivity-stop is a protective rule that closes both long and short positions after a set number of bars if price has not moved enough to keep the trade active.

Treat the constants as a locked set

The same rule skeleton can be rebuilt with other locked constants, including a threshold of 3.25 and a 5-bar hold, so those values are construction choices rather than a single required specification.

Editorial: once a set of constants is locked, rebuild the whole set together rather than changing one piece while leaving the rest of the story in place.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
32 of 46 in the Rate of Change track
20001-6 pp.Next on Rate of ChangeA triple delay line then a one-bar elliptic oscillatorA rate-of-change subtracts price N bars ago from current price so components that stay nearly constant cancel, leaving a zero-mean residual instead of a trending price level.
All readings on this track · 46 readings
  1. 1985Constructing excess and momentum difference-curve oscillators
  2. 1988Five reading rules for smoothed indicator charts
  3. 1989Momentum overlays that speed moving-average oscillators
  4. 1990A laboratory template that constructs Rate of Change as a pane module
  5. 1991Volume-scaled rate of change as a momentum construction
  6. 1991Three-indicator market overview from tape, sentiment and rates
  7. 1991Three-component trend model with rate-of-change filters
  8. 1992A KST oscillator from a weighted rate-of-change stack
  9. 1992Four-window weighted rate-of-change composite
  10. 1992Constructing multi-span smoothed rate-of-change filters
  11. 1992Constructing a four-horizon summed rate of change
  12. 1992Constructing KST from four weighted smoothed rates of change
  13. 1992Constructing a composite from weighted smoothed rates of change
  14. 1992Three-horizon KST maturity alignment
  15. 1992Construct a bond-led dividend-to-bond-yield regime first
  16. 1992Constructing relative-strength KST from weighted rate-of-change
  17. 1993Constructing a volume oscillator from average ratios and smoothed rate of change
  18. 1994Gold as a cycle clock for commodities and yields
  19. 1994Constructing a composite from weighted, smoothed rate-of-change windows
  20. 1994Constructing gold-mining rate-of-change tripwires for Treasury bonds
  21. 1994A capacity-stress checklist across commodities, bonds, and breadth
  22. 1994Rate of change parameters for testable entries
  23. 1994Constructing rate-of-change midpoints, lookbacks and divergence
  24. 1994Lead oscillator breaks need price trendline confirmation
  25. 1994Nested averages for an annual momentum curve
  26. 1994Evaluating a Coppock-style rate of change as a bottom-regime filter
  27. 1995A weighted eleven-month Dow rate of change as one testable timing procedure
  28. 1996Named lookbacks, thresholds, and streaks for entry rules
  29. 1997A midpoint rate-of-change test for bond trend follow-through
  30. 1997Constructing a short-rate-adjusted equity momentum filter
  31. 1998Daily momentum rank-churn as a portfolio-construction problem
  32. 1999Constructing a lagged rate of change cycle system
  33. 2000A triple delay line then a one-bar elliptic oscillator
  34. 2001Confirming rate of change divergences with price
  35. 2001Momentum trendline breaks need price confirmation
  36. 2001Market breadth, On-balance volume, and Rate of Change as a combined timing framework
  37. 2001Know Sure Thing with stacked horizons and trendline confirmation
  38. 2003Constructing a mechanical system from a rate of change condition
  39. 2003Constructing momentum from two closes and spotting divergence
  40. 2003Formula choice tilts which momentum mismatches count as divergences
  41. 2004RSI and momentum agreement as an asymmetric filter
  42. 2005Constructing price-normalized moving-slope hybrids
  43. 2005Unsigned speed gates on a fixed average-cross pair
  44. 2007Rebuilding rate of change as a path-weighted oscillator
  45. 2008Construct Special K so short-horizon signals stay inside the primary trend
  46. 2013Restore volume balance before adding another price-time indicator
All 50 readings tagged Rate of Change
Also on Rate of Change5 readings