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1998issue C081-3

Nested midpoint construction for a range-normalized oscillator

A nested midpoint of ordered prices becomes the reference for a range-normalized oscillator that places the latest close in a short high-low window and scales the reading by 100. The same lookback can set the bull-side level and the bear-side level so a momentum-strategy shares one length for the oscillator, the thresholds, and four-bar confirmation.

  • A nested midpoint is a reference series made by averaging ten successive stages, each the midpoint of the prior stage high and low over a chosen lookback.
  • A range-normalized oscillator subtracts that multi-stage midpoint average from the latest close, divides by the highest-minus-lowest close over a short window, and scales the ratio by 100.
  • The same lookback defines the bull-side level and the bear-side level, then feeds a momentum-strategy that can wait for four-bar confirmation before a cross.
  • Default constructions use a 12-period lookback for nested midpoint and threshold steps, and a 10-period high-low close window in the oscillator denominator.
Entries in this reading3 entries

This construction starts with a nested midpoint of ordered prices, turns that reference into a range-normalized oscillator, and reuses the same lookback for the bull-side level, the bear-side level, and the wait rules that follow.

Nested midpoint reference

A nested midpoint is a reference series made by repeatedly replacing a price line with the midpoint of its highest and lowest values over a chosen lookback. The reference level used here is an average of ten successive midpoint stages, and each stage takes the midpoint of the highest and lowest values of the prior stage over that lookback. Default constructions use a 12-period lookback for the nested midpoint and for the threshold steps that follow.

Range-normalized oscillator

A range-normalized oscillator is formed by subtracting that multi-stage midpoint average from the latest close, dividing by the highest-minus-lowest close over a short window, and scaling that ratio by 100. Default constructions use a 10-period high-low close window in the oscillator denominator. In TradersWeek editorial terms, the short window is how a stochastic-oscillator places the latest close inside a defined span, and the scaling is how a relative-strength-index maps ordered prices onto a forecast that can be compared with a simpler baseline.

Bull-side and bear-side levels

A bull-side level is the midpoint of the highest and lowest highs over the lookback, and a close above that level is treated as a bullish highlight condition. A bear-side level is the midpoint of the highest and lowest lows over the lookback, and a close below that level is treated as a bearish highlight condition. A point of balance can be defined as the midpoint between the bull-side and bear-side levels.

Momentum rules and four-bar confirmation

One momentum procedure enters long when the close crosses up through the bull-side level and enters short when the bear-side level crosses down through the close.

A stricter procedure allows a long only if the close crosses the bull-side level after four-bar confirmation, meaning the prior four closes sat between the two levels, and exits if the low undercuts the previous three-bar lowest low. The same four-bar confirmation is required for a short on a bear-side cross, and the short exit compares the current high with the prior three-bar highest high.

One system-test setup evaluates fills on the next open with a one-bar delay after the signal.

Shared lookback

The lookback can be stored once so the same length is reused across nested midpoint, threshold, and oscillator steps. In TradersWeek editorial terms, that shared length is what keeps the range-normalized oscillator and the momentum-strategy testable as one procedure, so entry, exit, and abstention rules can be compared with the simpler scaled reading.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
25 of 51 in the Momentum strategy track
19991-5 pp.Next on Momentum strategyEvaluating Relative Strength Index momentum with zero-line and threshold rulesMomentum is framed as a difference-over-time construction that can be plotted as an overbought-oversold oscillator beneath price.
All readings on this track · 51 readings
  1. 1984Half-cycle differencing for momentum signals
  2. 1987Relative strength evaluation under competing optimization criteria
  3. 1988Weekly MACD as a two-clock momentum confirmation stack
  4. 1989Equal-weight zero-cross from smoothed spreads
  5. 1989Testing relative-strength-index reversal rules against trend continuation
  6. 1989Smoothed three-day futures filter for index option bounces
  7. 1989Cycle-length windows for momentum, Relative Strength Index, and stochastic construction
  8. 1991Filtered rally magnitude as a bull-regime breakout
  9. 1992Constructing true strength from double-smoothed momentum
  10. 1992Constructing a double-smoothed true strength index
  11. 1993When momentum structure and breadth break together
  12. 1993Constructing double-smoothed range and momentum oscillators
  13. 1993Constructing a two-parameter relative momentum index
  14. 1993Building a bounded momentum oscillator with RSI smoothing
  15. 1993Two-speed oscillators with divergence and trendline gates
  16. 1993Constructing a relative momentum index from the relative strength index
  17. 1994Constructing daily advance-decline breadth tools
  18. 1994Building a composite regime score from monetary climate and weekly trend
  19. 1994Averaging Relative Strength Index and the stochastic oscillator into one reversal oscillator
  20. 1995Dividend-yield regression as a hold versus momentum gate
  21. 1996Jump and hold filters for long-term Treasury yield direction
  22. 1997Constructing extendedness from a 10 percent swing filter
  23. 1997A range-expansion oscillator that can refuse its own stretch
  24. 1997RSI trend permission and Fibonacci pullback rules
  25. 1998Nested midpoint construction for a range-normalized oscillator
  26. 1999Evaluating Relative Strength Index momentum with zero-line and threshold rules
  27. 1999Treat RSI and momentum as three mechanical procedures
  28. 2000Thrust strength figure from moving-average swings
  29. 2001Constructing a non-range-bound balance of market power score
  30. 2004Cleaned breadth oscillator and new-high divergence: a swing-market case file
  31. 2004Evaluating advance-issues-momentum on a fixed-symbol-basket
  32. 2004Constructing a trend filter from two adjacent high-low windows
  33. 2006A dollar-versus-commodity extreme as a regime case
  34. 2008Zero-centered stochastic bands and bracket stops
  35. 2012Evaluating engulfing momentum across hold windows
  36. 2012Staged stops as one mechanical entry and exit procedure
  37. 2012Stacking a relative-strength-index forecast, a trend filter, and long-only momentum
  38. 2013Constructing fair-value filters from averages and momentum
  39. 2014Constructing a multi-window slope divergence entry
  40. 2015Bandedge trend filter construction with inverse crossover rules
  41. 2017Opposite rules for index price and volatility momentum
  42. 2018A three-state overlay that colors a trend only after the line clears the bar
  43. 2018Half-cycle relative-strength index with a Fisher map for cyclic reversals
  44. 2018Emotion as a rule input when momentum breaks
  45. 2018Two-bar body expansion as a momentum breakout construction
  46. 2019Pair a two-day high breakout with a volume-weighted exit on the same chart
  47. 2020Building reflex and trendflex cross and extreme entry rules
  48. 2020Construct a dual-series price momentum oscillator overlay
  49. 2020A multi-timeframe stochastic as a panel of weekly voters
  50. 2020Centerline crossovers that compare index momentums
  51. 2020Multi-timeframe stochastic voting as one mechanical rule
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