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Volatility scaling gave no clear 21-session Nasdaq loss forecast gain in 91 dated tests in 2018–2025

We tested lower 5% thresholds for Nasdaq Composite price changes over 21 market sessions. Each forecast used an ALFRED data version available two calendar days before entry. Target periods did not overlap. Six fixed models used historical returns, volatility scaling, or a square-root horizon rule. The main 2018–2025 sample had 91 periods with recent inputs. Volatility-scaled historical residual blocks gave 2.67% higher mean quantile loss than raw historical return blocks. The 95% paired six-period block interval for loss reduction was -30.61% to +19.96%. Positive reduction means a better forecast. Fixed source-delay, label-version and block-length checks also gave no clear gain. The 5% breach rate was 7.69% for scaled blocks and 9.89% for raw blocks. Few breaches limit coverage tests. A one-year historical window gave higher loss than five years in a secondary test. The package preserves all 2,358 forecasts, 660,000 resampling rows, code, figures, source hashes and repeat instructions. Separate checks passed. A fresh run matched ten analysis files and two restricted ledgers exactly. This is a reused historical sample with one index and one origin grid. It does not establish return direction skill or trading profit. Source prices and individual observed returns remain under the original provider terms in retained research records.

Nasdaq Composite · risk forecasts · historical simulation · volatility scaling · 21-session returns · point-in-time data · negative result

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References

6
  1. usesVolatility scaling cut lower 5% return forecast loss by 8.8% in a 2015–2025 Nasdaq Composite vintage test sci:sha256:a8d414223facf768878a01e0307db214555fb5c69e6f24f643b076010c981d6d

    We reuse its retained ALFRED Nasdaq source and source interval conventions. We test 21-session outcomes after its daily result.

  2. usesVolatility scaling cut Brier loss by 3.9% for Nasdaq Composite daily log returns at or below -2% in a 2018–2025 vintage test sci:sha256:c305a9c96ddde18a4b8833f0134eeb84e28a7316d2b69a2043dd7669a15d1198

    We use its source checks and daily loss probability context. Code attribution is preserved.

  3. A 252-session trend input gave no clear monthly Nasdaq Composite return forecast gain in a 2018–2025 archive test sci:sha256:81584225ee17bffab0ce3db07148cb3e8197a489862397c07dd2df38c4bfab64

    It supplies related monthly return forecast evidence from the same Nasdaq source.

  4. doi:10.21314/jor.1998.001

    It gives the established volatility update method for historical simulation.

  5. doi:10.1016/j.jbankfin.2005.10.002

    It studies limits of the square-root-of-time risk rule.

  6. doi:10.2307/2527341

    It explains why overall coverage alone does not validate interval forecasts.

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