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2008issue C011-6

Map ordinary 12-month outcomes before stacking valuation, rates, and seasonality

Overlapping 12-month index changes from 1945 through May 2007 were mapped first, then sorted by starting earnings yield, interest-rate changes, and calendar markers. Editorial reading: stack those known-at-the-time conditions before judging whether a single index position sits in a historically richer or thinner bucket.

  • Overlapping 12-month index windows from 1945 through May 2007 averaged an 8.4 percent price change excluding dividends, with a 53.4 percent largest gain, a 41.4 percent largest decline, and fatter tails than the 15.7 percent standard deviation implies.
  • A quartile sort of starting earnings yield stepped later 12-month changes from 4.50 percent after the lowest yield group to 12.54 percent after the highest, and below-average yields still lined up with positive later changes.
  • Year-over-year declines in 30-year Treasury and 90-day bill yields lined up with stronger next-12-month index changes, and the short-rate correlation was stronger than the long-rate link.
  • Month of year and the presidential election cycle were kept on the same regime map as earnings, dividend yield, and interest rates, so calendar context was another sort of later outcomes.
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Place a single index position in a broader regime

Using valuation, interest-rate, and calendar relationships together places a single index position inside a broader market regime rather than judging it in isolation.

Editorial reading: treat the position as a regime decision. First map ordinary rolling 12-month outcomes. Then stack starting earnings yield, the rate backdrop, and calendar context before asking whether the trade sits in a historically richer or thinner return bucket.

First map ordinary 12-month outcomes

The rolling 12-month change is the overlapping year-over-year percentage move in the index. It defines ordinary outcomes and is also the later result being sorted.

Across overlapping 12-month windows from 1945 through May 2007, the index's average price change excluding dividends was 8.4 percent, with a largest gain of 53.4 percent and a largest decline of 41.4 percent.

In that same sample the median 12-month change was 9.5 percent, three-quarters of windows were better than a 1.9 percent decline, and only one-tenth exceeded a 28.6 percent gain.

A 15.7 percent standard deviation of those 12-month changes understates tail risk: a 41.4 percent decline would be extremely rare under a normal curve, yet it appeared inside the 62-year sample.

Then stack starting earnings yield

Earnings yield is trailing reported earnings divided by the index price, the inverse of the price/earnings ratio. It is used here as a starting valuation state that is known at the time, so the later return is not mixed into the starting signal.

Correlation analysis measures how strongly that known starting condition lined up with the next period's market change, then inspects the link by ranked groups. A quartile sort splits starting conditions into four ranked groups and compares the average later return of each group.

When starting earnings yield was sorted into quartiles, each higher valuation-yield group was followed by a larger average 12-month index change, and the correlation between starting earnings yield and the next 12-month change was 21.8.

The lowest earnings-yield quartile, about 2.18 percent to 5.31 percent, was followed by a 4.50 percent average 12-month change, versus 12.54 percent after the highest quartile, about 9.04 percent to 16.50 percent.

Low starting valuation did not imply an automatic later decline: below-average earnings yields lined up with below-average but still positive subsequent 12-month changes.

The 10-year horizon still sorted by starting yield

Over a 10-year horizon, only starting earnings yields in the top three quartiles were associated with average total returns including dividends of 10 percent or more per year. Those quartiles began at 5.61 percent or higher, a price/earnings ratio of 17.8 or lower.

The highest quartile, 9.71 percent or more, saw about 16.6 percent a year.

Add the bond and bill backdrop

Intermarket analysis relates equity outcomes to conditions in other markets, especially bond and bill yields, so a stock trade is read against the rate backdrop.

Year-over-year declines in the 30-year Treasury yield lined up with stronger next-12-month index changes: the most-falling yield quartile averaged 12.14 percent versus 6.17 percent after the most-rising quartile, with a correlation of about -15.3 percent.

The same stepwise pattern appeared at the short end: when the 90-day bill yield was up more than about 28 percent year over year, the next 12-month index change averaged 4.80 percent, versus 13.28 percent when that yield was falling sharply, and the short-rate correlation, -21.2 percent, was stronger than the long-rate link.

Keep calendar markers on the same map

Seasonality analysis sorts later market outcomes by calendar markers such as month of year or the presidential election cycle.

Calendar context was treated as part of the same regime map: month of year and the presidential election cycle were listed among the historical factors that continued to sort later market outcomes, alongside earnings, dividend yield, and interest rates.

Evaluation asks whether those historically observed cross-market and seasonal associations actually sorted subsequent returns into distinct buckets. In this sample the quartile steps and the signed correlations show that they did for starting earnings yield and for rate changes.

Editorial reading: the stack does not turn any bucket into a single-path forecast. It asks whether the known-at-the-time mix of valuation, rates, and calendar state sits in a historically richer or thinner part of the ordinary 12-month map.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
20 of 37 in the Correlation analysis track
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All readings on this track · 37 readings
  1. 1988Constructing a lead-aware correlation coefficient
  2. 1989A precious-metal price as a changing intermarket equation
  3. 1990Two clocks for copper: a factor regime, a regression baseline, and leftover moving-average timing
  4. 1990Earnings yield, rate correlation and regression for equity value
  5. 1991Name the window, then combine leaders
  6. 1991Constructing a two-market linear correlation check
  7. 1991Constructing a commodity-bond correlation regime filter
  8. 1992Building intermarket context with linear correlation
  9. 1993Inverse-scale overlays as a gold-equity regime filter
  10. 1994Constructing seasonal slots from windows, analog years, and implied volatility
  11. 1995Pin one reference close and roll companion correlations as an overlay
  12. 1995Rolling correlation windows for shifting intermarket regimes
  13. 1998Gold as a cross-market regime barometer
  14. 1999The gold-bond inverse is a regime, not a cause
  15. 1999A nested lag test of gold leading bond yields
  16. 1999Constructing spreads from stock and intermarket correlation
  17. 2000Evaluating headline versus food-and-energy-excluded CPI as bond-yield context
  18. 2005A late EUR/USD fifth wave tested by the Bund-Treasury gap
  19. 2006Intermarket dislocation as context for short-horizon momentum
  20. 2008Map ordinary 12-month outcomes before stacking valuation, rates, and seasonality
  21. 2008A clean-energy theme inside the oil-and-energy regime
  22. 2014Quantitative-easing overlays as fragile belief regimes
  23. 2015Three intermarket checks from the late-2014 crude decline
  24. 2015Basket construction via rank, correlation, and locked rules
  25. 2015Construct a CAD-oil pair from percent-of-range Bollinger maps
  26. 2015CAD/USD and crude: first the correlation, then the band gap
  27. 2017Correlation regime versus moving-average crossover for S&P 500 exposure
  28. 2017Updating intermarket systems after correlation shifts
  29. 2017Constructing a correlation-divergence regime filter for yen and Nikkei context
  30. 2018Clustered negative troughs in an energy-index pairwise correlation
  31. 2018Filter pairwise-correlation before reading an intermarket regime
  32. 2018Moving-average supports in the March 2018 correlation shock
  33. 2020Bond spreads as an equity regime lens
  34. 2020Crash-protection folklore as a correlation regime question
  35. 2020Constructing a bounded correlation-trend-filter
  36. 2020Constructing a correlation-to-line trend filter
  37. 2020Bitcoin correlation regimes across equities and gold
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