Time-Series Momentum (US S&P 500)
slug: ts-momentum-us-sp500
performance summary
Sharpe (median)
-0.23
Max DD
-8.7%
Win rate
—
Alpha (ann.)
—
p-value
0.46
backtest period: 2022-02-01 → 2026-06-01
Sharpe across 120 grid runs:median -0.23best 0.99 (not representative)worst -1.33p25–p75 -0.49–0.07
Hypothesis
Moskowitz, Ooi, Pedersen (2012): each stock's own past return predicts its future return. Applied to S&P 500 constituents.
Why it didn't work
Across 120 grid combinations, median Sharpe=-0.23, best=0.99. Primary failure mode: no_edge.
Facts (5)
Best grid Sharpe ratio is 0.99 (p=0.039).
period 2022-02-01–2026-06-01; cost=5bps
cite ↗ /cite/ts-momentum-us-sp500-fact-best-sharpevia r-ts-momentum-us-sp500-0004
Median Sharpe across 120 grid runs is -0.23.
Full grid of 120 parameter combinations.
Median Sharpe in DOWN regime is -0.38 across 120 runs.
Regime=DOWN, N225 SMA20/SMA60 classification.
Median Sharpe in FLAT regime is -0.50 across 120 runs.
Regime=FLAT, N225 SMA20/SMA60 classification.
Median Sharpe in UP regime is 0.09 across 120 runs.
Regime=UP, N225 SMA20/SMA60 classification.
Runs (30)
| run | params | sharpe | UP | FLAT | DOWN |
|---|---|---|---|---|---|
formation_days=20, holding_days=1, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0000 | cost_bps: 5 holding_days: 1 threshold_pct: 0 | +0.41 | +0.45 | +0.28 | +0.53 |
formation_days=20, holding_days=1, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0001 | cost_bps: 10 holding_days: 1 threshold_pct: 0 | -0.33 | -0.53 | -0.39 | +0.02 |
formation_days=20, holding_days=1, threshold_pct=0.05, cost_bps=5 r-ts-momentum-us-sp500-0002 | cost_bps: 5 holding_days: 1 threshold_pct: 0.05 | +0.69 | +0.89 | +0.45 | +0.70 |
formation_days=20, holding_days=1, threshold_pct=0.1, cost_bps=5 r-ts-momentum-us-sp500-0004 | cost_bps: 5 holding_days: 1 threshold_pct: 0.1 | +0.99 | +1.38 | +0.40 | +1.07 |
formation_days=20, holding_days=5, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0007 | cost_bps: 10 holding_days: 5 threshold_pct: 0 | -0.30 | -0.20 | -0.73 | +0.24 |
formation_days=20, holding_days=5, threshold_pct=0.1, cost_bps=10 r-ts-momentum-us-sp500-0011 | cost_bps: 10 holding_days: 5 threshold_pct: 0.1 | -0.16 | -0.18 | -0.22 | +0.05 |
formation_days=20, holding_days=10, threshold_pct=0.05, cost_bps=10 r-ts-momentum-us-sp500-0015 | cost_bps: 10 holding_days: 10 threshold_pct: 0.05 | -0.55 | +0.15 | -1.24 | -0.83 |
formation_days=20, holding_days=20, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0019 | cost_bps: 10 holding_days: 20 threshold_pct: 0 | -0.18 | +0.14 | -0.77 | -0.04 |
formation_days=20, holding_days=20, threshold_pct=0.1, cost_bps=10 r-ts-momentum-us-sp500-0023 | cost_bps: 10 holding_days: 20 threshold_pct: 0.1 | +0.06 | +0.47 | -0.49 | +0.16 |
formation_days=20, holding_days=60, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0024 | cost_bps: 5 holding_days: 60 threshold_pct: 0 | -0.22 | +0.18 | -0.41 | -0.81 |
formation_days=20, holding_days=60, threshold_pct=0.1, cost_bps=5 r-ts-momentum-us-sp500-0028 | cost_bps: 5 holding_days: 60 threshold_pct: 0.1 | -0.19 | +0.10 | -0.33 | -0.64 |
formation_days=60, holding_days=1, threshold_pct=0.05, cost_bps=5 r-ts-momentum-us-sp500-0032 | cost_bps: 5 holding_days: 1 threshold_pct: 0.05 | +0.07 | +1.22 | -0.73 | -0.62 |
formation_days=60, holding_days=5, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0036 | cost_bps: 5 holding_days: 5 threshold_pct: 0 | -0.28 | -0.35 | -0.52 | +0.74 |
formation_days=60, holding_days=5, threshold_pct=0.1, cost_bps=5 r-ts-momentum-us-sp500-0040 | cost_bps: 5 holding_days: 5 threshold_pct: 0.1 | -0.04 | -0.18 | -0.10 | +0.60 |
formation_days=60, holding_days=10, threshold_pct=0.05, cost_bps=5 r-ts-momentum-us-sp500-0044 | cost_bps: 5 holding_days: 10 threshold_pct: 0.05 | -0.43 | +0.44 | -1.03 | -0.78 |
formation_days=60, holding_days=20, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0048 | cost_bps: 5 holding_days: 20 threshold_pct: 0 | -0.30 | +0.08 | -0.43 | -0.70 |
formation_days=60, holding_days=20, threshold_pct=0.1, cost_bps=5 r-ts-momentum-us-sp500-0052 | cost_bps: 5 holding_days: 20 threshold_pct: 0.1 | -0.23 | +0.16 | -0.50 | -0.43 |
formation_days=60, holding_days=60, threshold_pct=0.05, cost_bps=5 r-ts-momentum-us-sp500-0056 | cost_bps: 5 holding_days: 60 threshold_pct: 0.05 | -0.09 | +0.31 | -0.00 | -2.09 |
formation_days=120, holding_days=1, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0060 | cost_bps: 5 holding_days: 1 threshold_pct: 0 | -0.59 | +0.11 | -1.21 | -1.12 |
formation_days=120, holding_days=1, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0061 | cost_bps: 10 holding_days: 1 threshold_pct: 0 | -1.33 | -0.84 | -1.96 | -1.58 |
formation_days=120, holding_days=1, threshold_pct=0.1, cost_bps=10 r-ts-momentum-us-sp500-0065 | cost_bps: 10 holding_days: 1 threshold_pct: 0.1 | -0.73 | -0.03 | -1.53 | -0.99 |
formation_days=120, holding_days=5, threshold_pct=0.05, cost_bps=10 r-ts-momentum-us-sp500-0069 | cost_bps: 10 holding_days: 5 threshold_pct: 0.05 | -0.73 | -0.62 | -1.34 | +0.46 |
formation_days=120, holding_days=10, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0073 | cost_bps: 10 holding_days: 10 threshold_pct: 0 | -1.24 | -0.51 | -2.23 | -1.29 |
formation_days=120, holding_days=10, threshold_pct=0.1, cost_bps=10 r-ts-momentum-us-sp500-0077 | cost_bps: 10 holding_days: 10 threshold_pct: 0.1 | -0.75 | +0.01 | -1.56 | -0.84 |
formation_days=120, holding_days=20, threshold_pct=0.05, cost_bps=10 r-ts-momentum-us-sp500-0081 | cost_bps: 10 holding_days: 20 threshold_pct: 0.05 | -0.37 | -0.28 | -0.33 | -0.74 |
formation_days=120, holding_days=60, threshold_pct=0, cost_bps=10 r-ts-momentum-us-sp500-0085 | cost_bps: 10 holding_days: 60 threshold_pct: 0 | +0.31 | +0.53 | +0.16 | -0.83 |
formation_days=120, holding_days=60, threshold_pct=0.1, cost_bps=10 r-ts-momentum-us-sp500-0089 | cost_bps: 10 holding_days: 60 threshold_pct: 0.1 | +0.25 | +0.40 | +0.24 | -1.31 |
formation_days=250, holding_days=1, threshold_pct=0, cost_bps=5 r-ts-momentum-us-sp500-0090 | cost_bps: 5 holding_days: 1 threshold_pct: 0 | -0.39 | -0.07 | -1.38 | +0.03 |
formation_days=250, holding_days=1, threshold_pct=0.1, cost_bps=5 r-ts-momentum-us-sp500-0094 | cost_bps: 5 holding_days: 1 threshold_pct: 0.1 | -0.38 | -0.11 | -0.87 | -0.34 |
formation_days=250, holding_days=5, threshold_pct=0.05, cost_bps=5 r-ts-momentum-us-sp500-0098 | cost_bps: 5 holding_days: 5 threshold_pct: 0.05 | -0.10 | -0.26 | -0.45 | +1.93 |
Target universe
S&P 500 constituents, ~503 stocks
Related strategies
source: qbuntu-analysis · kabu STATION REST API + J-Quants daily bars
computed asof: 2026-07-28T01:10:28