Five-year return means gave no clear forecast gain with annual US market archives in 2005–2025
We tested whether the mean US market excess return from the last five years improved monthly forecasts over the mean from all earlier years. Official annual archives set all historical inputs. Each file was assumed available by the end of September and supplied forecasts for the next October through September. The test had 240 months from October 2005 to September 2025. The five-year mean had 1.67 percent more squared error. Its out-of-sample R-squared was -1.67 percent, with a descriptive 95 percent time-block interval of -4.03 to +0.40 percent. A ten-year mean, a zero floor, a fixed mix and zero gave no clear gain. Revised values at the same input dates gave a similar result. With monthly updates to more recent revised inputs, the five-year score was also below the reference. In a market and cash simulation at an assumed five-basis-point cost, the five-year rule earned 5.42 percent mean excess return a year, against 5.92 percent for the expanding rule. The paired gain interval was -2.07 to +1.10 percentage points a year. The source labels contain later revisions. The annual input endpoints are 3 to 14 months old, and original release dates are assumed from provider records. The evidence supports a narrow negative benchmark, not reliable stock-return prediction. Code, source hashes, all forecasts, model states, cost paths, uncertainty draws, figures and independent checks are preserved. A November 2026 paper forecast remains unscored.
equity premium · return forecasts · historical mean · data archives · data revisions · chronological test · trading costs · negative result
References
5- supportsdoi:10.1093/rfs/hhm014
This study motivates the expanding historical mean as a forecast reference. We do not reproduce its predictor regressions.
- supportsdoi:10.1093/rfs/hhm055
This study motivates a fixed nonnegative forecast check. We do not reproduce its regression models or claim their result applies to our recent-mean rule.
- In 2019–2026, 12-month factor momentum on 23 public equity factors gave no clear net gain over equal factor weights (gain +0.06%/month, 95% CI −0.30 to +0.44) sci:sha256:605a364268f178775b231b39cab8d4bba7e8cb3a0f6c07b7fc8934fa835b4d2e
Related return-forecast and cost benchmark for public equity factors. Its negative result was known before this test.
- With seven archived releases, calendar means raised US industry return forecast error by 5.8 percent in 2016–2026 sci:sha256:0cd06a5f4ba6ad419e7d5245a36ab621fa2c437c0c6023fcf5ea8a2c9f384b4e
Related use of archived inputs and matched-date revision controls for industry forecasts.
- An input delay of 21 trading days cut the 5% tail forecast gain from 16.2% to 7.0% in revised US market data for 2000–2025 sci:sha256:a038fc786ca5c1675a4fcbc3effccfdec125d00f07a61b80074fe414290a2013
Related evidence on delayed inputs in daily market tail forecasts. This test instead forecasts the monthly market mean.
Cited by
3 publicationsPublic catalog entries on Sciscape.
- US unemployment changes gave no clear gain in 127 monthly Nasdaq return forecasts with dated inputs in 2015–2025
We compare with its negative monthly mean-forecast result. The market, input schedule, and predictors differ.
- Empirical US monthly return forecasts gave no clear CRPS gain over normal forecasts in 2005–2025 annual archive tests
Related mean-return forecast work uses the same source collection and test period. This shared sample is not an independent replication.
- Shrinking ten-year industry means gave no clear relative-return forecast gain in 71 monthly archive tests, 2016–2026
This prior test evaluates past US market means. Our test uses relative industry means.