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1991issue C101-4

A construction audit of the long-horizon trading index

A two-session thought experiment shows why averaging daily trading-index prints can contradict the period's own issue and volume totals, and why a reciprocal volume-price ratio must be rebuilt from summed components rather than smoothed like a price series.

  • When advances equal declines, the daily trading index equals the reciprocal of the advancing-to-declining volume ratio: 100 advancing shares against 200 declining shares read 2, and the swapped pair reads 0.50.
  • Averaging those opposite daily prints as a two-day day-weighted horizon produces 1.25, while the same sessions' summed issues and volume rebuild a neutral issue/volume-weighted reading of 1.
  • Opposite trading-index readings are reciprocals whose product is 1, so a simple moving average does not recover the identity of a scale that treats 1 as neutral.
  • An issue/volume-weighted long-term trading index is the period advance-to-decline issue ratio divided by the period advancing-to-declining volume ratio and can be taken from the raw counts.
Entries in this reading3 entries
Current trackMarket breadth120 readingsVolume-price analysis129 readingsMoving average449 readings

What the daily trading index measures

Market breadth, in this construction, is a participation reading that compares advancing issues with declining issues and the volume attached to each side, rather than the level of a price index. The trading index is the daily market-breadth ratio formed by dividing the advance-to-decline issue ratio by the advancing-to-declining volume ratio.

The same construction treats 1.00 as the neutral reading on both a daily and a longer horizon. Below 1 means more volume per advancing issue on average. Above 1 means more volume per declining issue. That scale is a volume-price-analysis of whether advancing or declining issues are attracting more volume.

When advancing and declining issue counts are equal, the daily trading index equals the reciprocal of the advancing-to-declining volume ratio. 100 shares of advancing volume against 200 shares of declining volume produce 2. The swapped volume pair produces 0.50.

Reciprocal identity and the simple moving average

A simple moving average assumes opposites cancel around zero. Opposite daily trading-index readings are reciprocals whose product is 1. In the same two-session case, 2.00 times 0.50 equals 1.00, so their arithmetic mean is not the identity of that scale.

The reciprocal identity of the trading-index scale is a product equal to 1, because opposite readings are reciprocals rather than signed amounts that cancel at zero.

Day-weighted and issue/volume-weighted horizons

A day-weighted horizon is a longer-horizon trading index formed by averaging daily trading-index readings so that each session has equal weight. An issue/volume-weighted horizon is a longer-horizon trading index rebuilt from the window totals of advancing issues, declining issues, advancing volume, and declining volume.

An issue/volume-weighted long-term trading index is defined as the period advance-to-decline issue ratio divided by the period advancing-to-declining volume ratio. It can be computed from the raw counts without further adjustment.

Averaging daily trading-index values weights each session equally. Summing issues and volume over the window lets unusually heavy or light volume change the longer-horizon reading.

A longer-horizon overlay and a rebuilt window

One longer-horizon overlay is described as a 21-session simple moving average of the daily trading index placed against a 55-session simple moving average of the same daily series. Smoothing the daily trading index with a 21-session moving average can delay the point at which the series crosses a decision threshold.

A 21-session issue/volume-weighted reading can instead be formed from 21-session averages of each trading-index component, showing whether advancing or declining stocks received more volume over that window.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
24 of 71 in the Market breadth track
19911-9 pp.Next on Market breadthIndependent formula timers kept as a testable combinationThe main job of timing was described as limiting losses in declining markets, including staying idle as much as 40% to 50% of the time as a risk-reduction feature.
All readings on this track · 71 readings
  1. 1987How a failed rebound, weak breadth, and cycle dates broke the 1987 bull case
  2. 1988Diagnosing market bottoms with breadth, divergence and averages
  3. 1988Diagnosing index tops with breadth divergences
  4. 1988Record highs versus seven-day breadth and divergence
  5. 1989Constructing a percentage-scaled internals composite
  6. 1989Constructing a weekly block-tick breadth z-score
  7. 1989Constructing a dual-rate advance-decline oscillator
  8. 1989Normalize advance-decline series for a common-scale comparison
  9. 1990Unchanged-issue share as a narrow-breadth case study
  10. 1990Evaluating daily and weekly unsigned plurality breadth
  11. 1990Constructing paired new-high and new-low breadth indicators
  12. 1990Ten-day HI/LO extremes as a long-horizon breadth signal
  13. 1990Confirming index cycles with breadth, volume, and waves
  14. 1990Index cycle gates from breadth and volume
  15. 1990Constructing advance-decline breadth indicators
  16. 1990Weekly advance-decline oscillator: weight map, extremes, and spike cycle
  17. 1990Price-weighted construction distorts breadth, support, and trend
  18. 1991A peak-sequence test from the new-highs-to-advances-ratio
  19. 1991Fuzzy rules that turn daily market-breadth into a session consensus
  20. 1991From daily breadth tallies to a weighted consensus signal
  21. 1991Retesting market-breadth when market structure changes
  22. 1991Constructing TRIN as a breadth-volume ratio
  23. 1991Build the market clock before you read a price bar
  24. 1991A construction audit of the long-horizon trading index
  25. 1991Independent formula timers kept as a testable combination
  26. 1992When identical TRIN prints come from different pairings
  27. 1992Grade closing tick before a next-session breadth hypothesis
  28. 1992Noncumulative advance-decline swing confirmation
  29. 1992Five-day sum construction of the trading index
  30. 1992Daily closing-trin extremes and next-day direction
  31. 1992A three-layer audit: regime, breadth, and group RSI
  32. 1992Constructing a nine-state trend, momentum, and breadth score
  33. 1993Constructing a market-volume-impact rating from nested averages
  34. 1993When advance-decline confirmation counts the wrong universe
  35. 1993Constructing breadth momentum from advance-decline smoothing
  36. 1993Constructing a cumulative market-thrust line
  37. 1994Three-horizon construction of the Haurlan index
  38. 1994Checklist-gated session entry in 1993 index futures
  39. 1994Read one advance-decline pair through three windows
  40. 1994Constructing calibrated market-breadth summation indexes
  41. 1994Constructing a two-speed advance-decline oscillator and a calibrated summation
  42. 1995NYSE tick extremes and candlestick reversal entries
  43. 1995Assembling range, breadth, and a stored stop into one procedure
  44. 1995Restating market breadth timing rules as ratios
  45. 1995Constructing breadth ratio gates after lookback drawdowns
  46. 1995Building a short-range breadth and price oscillator
  47. 1996Constructing a smoothed advance-decline trend filter
  48. 1996Smoothed advance-decline alerts at the 1987 and 1990 turning points
  49. 1996Constructing breadth, RSI, and stochastic range filters
  50. 1996New-high and new-low counts as a breadth construction
  51. 1996Constructing the four-input breadth-volume ratio
  52. 1996Constructing the McClellan oscillator and a calibrated summation index
  53. 1996Declare the oscillator seed, then calibrate only the summation index
  54. 1997Three-gate centered strength in market-breadth construction
  55. 1997Daily advance-decline and new-high new-low breadth signals
  56. 1999Index-fund positions as a majority-vote committee
  57. 2000Tick, tiki and TRIN as a three-layer session confirmation stack
  58. 2000Constructing an advance-decline oscillator from one listed tape
  59. 2001Market breadth, beta, and volume-price confirmation
  60. 2001Regime context from relative venue volume, breadth, and intermarket spreads
  61. 2002When NYSE breadth misreads operating-stock participation
  62. 2003Two-gate breadth divergence and a trend filter for rally tops
  63. 2003Market internals confirm or diverge from the index
  64. 2004Constructing the McClellan oscillator and summation index
  65. 2005Intraday index-futures divergence as a three-part session hypothesis
  66. 2005Breadth summation levels as a short-term signal filter
  67. 2005Checking trend versus range with breadth and divergence
  68. 2011Constructing a Nasdaq hi-lo index from highs, lows, and issues traded
  69. 2013Cumulative advance-decline versus a one-year average
  70. 2013A one-year breadth average as a participation gate
  71. 2015Falsifying a healthy correction with breadth and support
By fieldMarket breadth101 readingsBy year199198 readings
All 120 readings tagged Market breadth
Also on Market breadth5 readings
1991Build the market clock before you read a price bar1992Five-day sum construction of the trading index1993Constructing a market-volume-impact rating from nested averages2001Market breadth, beta, and volume-price confirmation1990Confirming index cycles with breadth, volume, and waves