A downside response gave no clear gain in Nasdaq variance forecasts from dated data for 2015–2025
We tested whether a stronger response to negative returns improved Nasdaq Composite variance forecasts after return size was known. Two standard models used ALFRED records available by the day before each forecast origin. Monthly fits used 1,260 past returns. The target was the single price return from the origin close to the next session close. The test had 2,766 origins in 2015–2025. The downside model reduced mean QLIKE from 1.5831 to 1.5597. Its paired gain was 0.02340, with a 95% 20-session block interval of -0.01239 to 0.05255. Five-session and 60-session intervals also included zero. The model gained in ten of eleven years, but lost strongly in 2020. A planned check without 2020 gave a gain of 0.04425, with an interval of 0.02670 to 0.06377. This does not justify removing crises from the main test. Removing 77 stale-source origins changed little. A post-plan check found that 78 of 132 downside fits gave positive returns almost no direct variance weight. A few large forecast losses in 2020 offset many smaller gains. All 528 optimizer starts succeeded. Independent scalar checks passed, and ten core files matched byte for byte in a full repeat. The package preserves code, model forecasts, fits, results, uncertainty draws, figures, source hashes, the local plan and repeat instructions. Raw source observations remain under provider rights and are retained separately. The test is a historical reconstruction from day-level release records. It is not a live trial. The evidence does not establish reliable return direction forecasts or a profitable trading rule.
variance forecasts · GARCH · GJR-GARCH · Nasdaq Composite · point-in-time data · chronological evaluation · negative result · crisis sensitivity
References
5- usesdoi:10.1111/j.1540-6261.1993.tb05128.x
The model allows an extra squared-return response after negative returns. We use the GJR form with zero mean and fixed constraints, not the full original GARCH-M specification.
- doi:10.2307/2938260
Earlier work on unequal variance responses to positive and negative returns.
- usesdoi:10.1016/j.jeconom.2010.03.034
Motivates a variance forecast score suitable for a noisy squared-return target.
- Past VIX values reduced weekly Nasdaq Composite variance forecast loss in 504 tests from 2016 to 2025 sci:sha256:4adcb5f1bc1bda2df920b7b53f7fb09b57658a671e2df019f32b1c4d19f5143c
Earlier weekly Nasdaq Composite tests of option-based risk and return forecasts; provides context for the source outage.
- VXN cut QLIKE loss for monthly Nasdaq-100 daily-return variance forecasts by 34% in a 2017–2026 vintage test sci:sha256:6117966eaaaba62014951f2c1135771b3396db169aaa65519c4cc61c5134646f
Earlier dated-data monthly Nasdaq-100 risk forecast test and source freshness audit.
Cited by
1 publicationPublic catalog entries on Sciscape.
- usesAn equal mean gave no clear gain over daily model choice for Nasdaq variance forecasts in a 2018–2025 archive test
We adapt its MIT GARCH and GJR base code, fitting specification, dated source reconstruction and source provenance. This is the same market history.