Skewness Anomaly (US S&P 500)
slug: skewness-anomaly-us-sp500
performance summary
Sharpe (median)
-0.69
Max DD
-19.8%
Win rate
—
Alpha (ann.)
—
p-value
0.12
backtest period: 2022-02-01 → 2026-06-01
Sharpe across 320 grid runs:median -0.69best 0.53 (not representative)worst -3.30p25–p75 -1.22–-0.19
Hypothesis
Boyer, Mitton, Vorkink (2010): stocks with high expected skewness earn lower returns. Applied to S&P 500 constituents.
Why it didn't work
Across 320 grid combinations, median Sharpe=-0.69, best=0.53. Primary failure mode: no_edge.
Facts (5)
Best grid Sharpe ratio is 0.53 (p=0.075).
period 2022-02-01–2026-06-01; cost=5bps
cite ↗ /cite/skewness-anomaly-us-sp500-fact-best-sharpevia r-skewness-anomaly-us-sp500-0313
Median Sharpe across 320 grid runs is -0.69.
Full grid of 320 parameter combinations.
Median Sharpe in DOWN regime is 0.51 across 320 runs.
Regime=DOWN, N225 SMA20/SMA60 classification.
Median Sharpe in FLAT regime is -1.04 across 320 runs.
Regime=FLAT, N225 SMA20/SMA60 classification.
Median Sharpe in UP regime is -0.90 across 320 runs.
Regime=UP, N225 SMA20/SMA60 classification.
Runs (30)
| run | params | sharpe | UP | FLAT | DOWN |
|---|---|---|---|---|---|
formation_days=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0000 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.94 | -2.64 | -1.87 | -0.83 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0001 | cost_bps: 5 n_stocks: 5 regime_gate: true | -1.57 | -1.93 | -1.87 | -0.83 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0002 | cost_bps: 10 n_stocks: 5 regime_gate: false | -2.34 | -3.12 | -2.24 | -1.15 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-skewness-anomaly-us-sp500-0003 | cost_bps: 10 n_stocks: 5 regime_gate: true | -1.90 | -2.25 | -2.24 | -1.15 |
formation_days=20, holding_days=1, n_stocks=50, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0012 | cost_bps: 5 n_stocks: 50 regime_gate: false | -1.42 | -1.80 | -1.33 | -0.31 |
formation_days=20, holding_days=5, n_stocks=5, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0018 | cost_bps: 10 n_stocks: 5 regime_gate: false | -1.55 | -1.71 | -1.88 | -0.24 |
formation_days=20, holding_days=10, n_stocks=5, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0032 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.92 | -1.79 | -0.71 | +1.09 |
formation_days=20, holding_days=10, n_stocks=50, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0046 | cost_bps: 10 n_stocks: 50 regime_gate: false | -0.74 | -1.10 | -1.11 | +1.12 |
formation_days=20, holding_days=20, n_stocks=50, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0060 | cost_bps: 5 n_stocks: 50 regime_gate: false | -0.34 | -0.57 | -0.84 | +1.45 |
formation_days=20, holding_days=60, n_stocks=5, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0064 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.01 | -0.60 | -0.07 | +2.34 |
formation_days=20, holding_days=60, n_stocks=20, cost_bps=10, regime_gate=True r-skewness-anomaly-us-sp500-0075 | cost_bps: 10 n_stocks: 20 regime_gate: true | +0.15 | +0.80 | -0.84 | +0.69 |
formation_days=40, holding_days=1, n_stocks=20, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0089 | cost_bps: 5 n_stocks: 20 regime_gate: true | -1.62 | -1.27 | -1.58 | -2.65 |
formation_days=40, holding_days=1, n_stocks=20, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0090 | cost_bps: 10 n_stocks: 20 regime_gate: false | -3.30 | -4.12 | -2.22 | -3.46 |
formation_days=40, holding_days=5, n_stocks=20, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0104 | cost_bps: 5 n_stocks: 20 regime_gate: false | -1.65 | -1.89 | -1.80 | -0.64 |
formation_days=40, holding_days=10, n_stocks=10, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0118 | cost_bps: 10 n_stocks: 10 regime_gate: false | -0.95 | -1.14 | -1.20 | +0.16 |
formation_days=40, holding_days=20, n_stocks=10, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0132 | cost_bps: 5 n_stocks: 10 regime_gate: false | -0.61 | -0.96 | -1.65 | +1.74 |
formation_days=40, holding_days=60, n_stocks=5, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0146 | cost_bps: 10 n_stocks: 5 regime_gate: false | +0.01 | -0.37 | -0.57 | +2.66 |
formation_days=60, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0160 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.46 | -1.66 | -1.48 | -0.93 |
formation_days=60, holding_days=1, n_stocks=50, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0174 | cost_bps: 10 n_stocks: 50 regime_gate: false | -2.61 | -3.51 | -1.37 | -3.08 |
formation_days=60, holding_days=5, n_stocks=50, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0188 | cost_bps: 5 n_stocks: 50 regime_gate: false | -0.96 | -1.40 | -1.09 | +0.38 |
formation_days=60, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0202 | cost_bps: 10 n_stocks: 20 regime_gate: false | -0.98 | -2.00 | -0.56 | +0.24 |
formation_days=60, holding_days=20, n_stocks=20, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0216 | cost_bps: 5 n_stocks: 20 regime_gate: false | -0.76 | -1.30 | -0.55 | +0.48 |
formation_days=60, holding_days=60, n_stocks=10, cost_bps=10, regime_gate=False r-skewness-anomaly-us-sp500-0230 | cost_bps: 10 n_stocks: 10 regime_gate: false | -0.33 | -1.14 | -0.61 | +1.77 |
formation_days=120, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-skewness-anomaly-us-sp500-0240 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.29 | -1.23 | -1.53 | -0.90 |
formation_days=120, holding_days=1, n_stocks=10, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0245 | cost_bps: 5 n_stocks: 10 regime_gate: true | -0.46 | -0.40 | -0.93 | +0.21 |
formation_days=120, holding_days=5, n_stocks=5, cost_bps=10, regime_gate=True r-skewness-anomaly-us-sp500-0259 | cost_bps: 10 n_stocks: 5 regime_gate: true | -1.13 | -0.39 | -2.03 | -0.78 |
formation_days=120, holding_days=10, n_stocks=5, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0273 | cost_bps: 5 n_stocks: 5 regime_gate: true | -0.65 | -0.42 | -1.43 | +1.31 |
formation_days=120, holding_days=10, n_stocks=50, cost_bps=10, regime_gate=True r-skewness-anomaly-us-sp500-0287 | cost_bps: 10 n_stocks: 50 regime_gate: true | -0.21 | +0.20 | -1.49 | +1.97 |
formation_days=120, holding_days=20, n_stocks=50, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0301 | cost_bps: 5 n_stocks: 50 regime_gate: true | +0.06 | +0.46 | -1.16 | +1.56 |
formation_days=120, holding_days=60, n_stocks=20, cost_bps=5, regime_gate=True r-skewness-anomaly-us-sp500-0313 | cost_bps: 5 n_stocks: 20 regime_gate: true | +0.53 | +0.40 | +0.02 | +3.19 |
Target universe
S&P 500 constituents, ~503 stocks
Related strategies
source: qbuntu-analysis · kabu STATION REST API + J-Quants daily bars
computed asof: 2026-08-01T07:31:34