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A one-year weight half-life gave no clear joint forecast gain for three US equity factors in 2005–2025 archive tests

We tested whether recent returns improve joint monthly forecasts of US market, size, and value returns. Each of 20 annual decisions used its own French Data Library archive. Fits used 120 months through July. Forecasts stayed fixed from October through the next September. The test has 240 monthly vectors in 2005–2025. All models shared the same mean forecast and a 50% cut in estimated correlations. The primary covariance rule halved input weights for each extra year of age. Against equal weights, its mean Gaussian log score gain was -0.0487 nats per month. A paired 95% annual-block interval was -0.3690 to +0.2318. The test showed no clear gain and did not prove harm. A fixed half-and-half covariance blend gained 0.0716 nats, with interval -0.0288 to +0.1802. Data-version checks also gave no clear primary gain. Nominal 90% joint regions covered 82.9% to 87.1% of outcomes across models. The main limits are only 20 annual decisions, old inputs, a reused US factor sample, working normal distributions, and assumed archive availability by September 30. Labels are the earliest annual records in the collection, not first monthly releases. We evaluated no trading strategy. The package preserves the fixed plan, code, provenance, all forecasts and scores, uncertainty draws, figures, independent checks, and unscored future paper forecasts. A clean run matched all 14 analysis files.

covariance forecasts · historical data releases · exponential weights · equity factors · chronological tests · negative result

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References

7
  1. usesFive years of returns gave higher risk forecast loss than ten years in 20 annual US market tests, 2005–2025 sci:sha256:fd5105241ebed2196ac2a18f6a05d673a5eed74ca9d828b728b6044702376187

    We use its retained official annual archive collection and its July cutoff and October test schedule.

  2. usesCutting estimated correlations in half gave no clear joint forecast gain for three US equity factors in 20 annual archive tests, 2005–2025 sci:sha256:efedbca95238d06a743b078e96d60033263ccd251b3bf88d0586c64c41e232c4

    We adapt its MIT source parser and compare time weights with the same fixed cut in correlations. The tested return sample overlaps.

  3. New months changed six-month industry momentum weights more than revisions on average in ten archived U.S. releases from 2015 to 2026 sci:sha256:4dad13837ba88e4c874fba1e2d3c1f77cc8b00b94b62ccaed073168a22a0c822

    Its archive checks informed the initial source search. We did not repeat its industry weight test.

  4. doi:10.2307/2109358

    Prior work on joint return models with changing variances and covariances.

  5. doi:10.1016/S0047-259X(03)00096-4

    Prior work on covariance estimation and shrinkage. Our fixed shrinkage rule is not its optimal estimator.

  6. doi:10.1198/016214506000001437

    Basis for evaluation with proper probability scores.

  7. usesdoi:10.1080/01621459.1994.10476870

    We use a paired stationary bootstrap on annual blocks.

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