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2003issue C111-2

Constructing momentum from two closes and spotting divergence

Momentum is built as the signed difference between two closes separated by a chosen lookback. Rate of change and the relative strength index measure that change in different ways, and the constructed line is used to locate divergences.

  • A simple momentum value is the latest close minus the close from n periods earlier.
  • The lookback can use daily, weekly, or five-minute bars and can be lengthened or shortened to change sensitivity.
  • Equal price changes leave the momentum line flat, and a smaller latest gain can send the line down while prices are still rising.
  • A primary use of the constructed line is to locate divergences, including momentum turning down while prices continue to move up.
Entries in this reading3 entries
Current trackRate of Change50 readingsPrice-indicator divergence142 readingsRelative Strength Index186 readings

Write the two-close difference

A simple momentum value is defined as the latest close minus the close from n periods earlier. Momentum is that signed difference.

The lookback is the number of bars, of any chosen bar size, that separate the two closes. The n-period span may be taken from daily, weekly, or five-minute bars and can be lengthened or shortened to change sensitivity.

When the line stays flat or turns down

Equal price changes over the two compared intervals leave the momentum line flat. A smaller latest gain can send the line down while prices are still rising.

Rate of change and the relative strength index

Rate of change and the relative strength index are listed among oscillator-style tools that measure momentum in different ways. Rate of change is an oscillator-style measure of how much price has changed over a chosen lookback. The relative strength index is a bounded oscillator that condenses ordered price changes over a defined sampling interval.

Locating divergences

A primary use of the constructed line is to locate divergences, including cases where momentum turns down while prices continue to move up. Divergence is a split in which the momentum line and price peaks or troughs fail to confirm each other.

A historical peak comparison

A 12-period momentum series on December crude in summer 2003 was used to compare August indicator peaks with price peaks at the same times.

Extreme readings

An exceptionally low momentum reading was presented as suggesting that near-term downside might be limited and that a bounce could appear before further decline. Extreme high momentum readings, the overbought mark in this workflow, were used to flag markets that may already have moved far even when successive up days still look like a strong trend.

12-period momentum on December 2003 crude oil

December 2003 crude printed a higher high near 31.45 late in August while the 12-period momentum line only made a lower peak than the one at the start of that month, then sank to a marked -3.09. A trader is meant to treat that weaker oscillator against a higher price peak as deceleration, not as a finished verdict. The series was read from the daily TradeStation oscillator in the source figure; the article prints no table of values.
December 2003 crude printed a higher high near 31.45 late in August while the 12-period momentum line only made a lower peak than the one at the start of that month, then sank to a marked -3.09. A trader is meant to treat that weaker oscillator against a higher price peak as deceleration, not as a finished verdict. The series was read from the daily TradeStation oscillator in the source figure; the article prints no table of values.December 2003 NYMEX crude oil (LZ03) · Daily · 2003-04-23T00:00:00.000Z to 2003-09-09T00:00:00.000Z

The source fixes the lookback at 12 periods using M = latest close minus the close 12 bars earlier. Dates and readings other than the labeled final print of -3.09 are approximate digitizations from the printed scale (ticks at 0.50).

Educational research material, not investment advice. Historical source context does not establish present-day performance.
39 of 46 in the Rate of Change track
20031-7 pp.Next on Rate of ChangeFormula choice tilts which momentum mismatches count as divergencesPercentage and fractional n-period rate-of-change constructions related by a strictly increasing transform produce the same divergence verdicts versus one another and versus price, so the remaining contrast is arithmetic difference versus fraction.
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
By fieldIndicators and filters682 readingsBy year2003104 readings
All 50 readings tagged Rate of Change
Also on Rate of Change5 readings
1991Volume-scaled rate of change as a momentum construction1994Lead oscillator breaks need price trendline confirmation1994Constructing rate-of-change midpoints, lookbacks and divergence1997Constructing a short-rate-adjusted equity momentum filter2001Confirming rate of change divergences with price