Skewness Reversal (US S&P 500)
Skewness Reversal (US S&P 500) backtest. Median Sharpe across 144 parameter sets is -1.03. p-value is 0.03. Max DD is -18.9%. Period: 2022-02-01 to 2026-09-01. Best Sharpe +0.39 is not the representative figure.
Verdict: rejected. The median reaches neither promising (Sharpe > 0.5 and p-value < 0.05) nor marginal (Sharpe > 0.05 and best p-value < 0.10). Primary reason: no_edge. It is not regime, frequency, or cost, and the median does not clear the bar.
Performance summary
Hypothesis
Investors overpay for lottery-like positive skewness and shun negative skewness (Harvey & Siddique 2000 line): stocks with extreme recent return skewness should subsequently revert. Ranking on realized skewness tests the effect long/short.
Why it didn't work
Across 144 grid combinations, median Sharpe=-1.03, best=0.39. Primary failure mode: no_edge.
Facts (5)
Runs (30)
| run | params | sharpe | UP | FLAT | DOWN |
|---|---|---|---|---|---|
lookback_days=20, n_stocks=5, cost_bps=5, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0000 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.74 | -2.64 | -1.40 | -0.83 |
lookback_days=20, n_stocks=5, cost_bps=5, regime_gate=False, holding_days=5 r-skewness-reversal-us-sp500-0001 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.36 | -1.51 | -1.64 | +0.06 |
lookback_days=20, n_stocks=5, cost_bps=5, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0002 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.34 | -1.23 | -0.19 | +1.63 |
lookback_days=20, n_stocks=5, cost_bps=5, regime_gate=True, holding_days=1 r-skewness-reversal-us-sp500-0003 | cost_bps: 5 n_stocks: 5 regime_gate: true | -1.40 | -1.93 | -1.40 | -0.83 |
lookback_days=20, n_stocks=5, cost_bps=10, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0006 | cost_bps: 10 n_stocks: 5 regime_gate: false | -2.12 | -3.12 | -1.74 | -1.15 |
lookback_days=20, n_stocks=5, cost_bps=10, regime_gate=True, holding_days=5 r-skewness-reversal-us-sp500-0010 | cost_bps: 10 n_stocks: 5 regime_gate: true | -1.25 | -1.20 | -1.80 | -0.24 |
lookback_days=20, n_stocks=10, cost_bps=5, regime_gate=True, holding_days=5 r-skewness-reversal-us-sp500-0016 | cost_bps: 5 n_stocks: 10 regime_gate: true | -0.70 | -0.61 | -1.18 | +0.33 |
lookback_days=20, n_stocks=10, cost_bps=10, regime_gate=True, holding_days=5 r-skewness-reversal-us-sp500-0022 | cost_bps: 10 n_stocks: 10 regime_gate: true | -0.94 | -0.81 | -1.44 | -0.02 |
lookback_days=20, n_stocks=20, cost_bps=5, regime_gate=True, holding_days=5 r-skewness-reversal-us-sp500-0028 | cost_bps: 5 n_stocks: 20 regime_gate: true | -0.35 | +0.36 | -1.39 | +0.64 |
lookback_days=20, n_stocks=20, cost_bps=10, regime_gate=True, holding_days=5 r-skewness-reversal-us-sp500-0034 | cost_bps: 10 n_stocks: 20 regime_gate: true | -0.65 | +0.16 | -1.73 | -0.11 |
lookback_days=20, n_stocks=50, cost_bps=5, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0036 | cost_bps: 5 n_stocks: 50 regime_gate: false | -1.39 | -1.80 | -1.25 | -0.31 |
lookback_days=20, n_stocks=50, cost_bps=5, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0041 | cost_bps: 5 n_stocks: 50 regime_gate: true | +0.28 | +0.73 | -0.99 | +1.45 |
lookback_days=20, n_stocks=50, cost_bps=10, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0047 | cost_bps: 10 n_stocks: 50 regime_gate: true | +0.11 | +0.63 | -1.26 | +1.11 |
lookback_days=40, n_stocks=5, cost_bps=5, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0053 | cost_bps: 5 n_stocks: 5 regime_gate: true | -0.04 | +0.32 | -1.18 | +1.64 |
lookback_days=40, n_stocks=5, cost_bps=10, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0059 | cost_bps: 10 n_stocks: 5 regime_gate: true | -0.13 | +0.25 | -1.28 | +1.52 |
lookback_days=40, n_stocks=10, cost_bps=5, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0065 | cost_bps: 5 n_stocks: 10 regime_gate: true | -0.16 | -0.01 | -1.49 | +1.74 |
lookback_days=40, n_stocks=10, cost_bps=10, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0071 | cost_bps: 10 n_stocks: 10 regime_gate: true | -0.28 | -0.09 | -1.66 | +1.58 |
lookback_days=40, n_stocks=20, cost_bps=5, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0077 | cost_bps: 5 n_stocks: 20 regime_gate: true | -0.54 | -0.07 | -1.28 | +0.00 |
lookback_days=40, n_stocks=20, cost_bps=10, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0078 | cost_bps: 10 n_stocks: 20 regime_gate: false | -3.17 | -4.12 | -2.09 | -3.46 |
lookback_days=40, n_stocks=50, cost_bps=5, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0084 | cost_bps: 5 n_stocks: 50 regime_gate: false | -2.17 | -3.07 | -1.36 | -1.73 |
lookback_days=40, n_stocks=50, cost_bps=10, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0090 | cost_bps: 10 n_stocks: 50 regime_gate: false | -3.00 | -3.96 | -2.14 | -2.54 |
lookback_days=60, n_stocks=5, cost_bps=5, regime_gate=False, holding_days=1 r-skewness-reversal-us-sp500-0096 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.55 | -1.66 | -1.74 | -0.93 |
lookback_days=60, n_stocks=5, cost_bps=5, regime_gate=False, holding_days=5 r-skewness-reversal-us-sp500-0097 | cost_bps: 5 n_stocks: 5 regime_gate: false | -1.08 | -0.68 | -1.28 | -1.47 |
lookback_days=60, n_stocks=5, cost_bps=5, regime_gate=True, holding_days=20 r-skewness-reversal-us-sp500-0101 | cost_bps: 5 n_stocks: 5 regime_gate: true | +0.39 | +0.73 | -0.18 | +0.91 |
lookback_days=60, n_stocks=5, cost_bps=10, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0104 | cost_bps: 10 n_stocks: 5 regime_gate: false | +0.22 | +0.44 | -0.29 | +0.81 |
lookback_days=60, n_stocks=10, cost_bps=5, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0110 | cost_bps: 5 n_stocks: 10 regime_gate: false | -0.56 | -1.16 | -0.49 | +0.90 |
lookback_days=60, n_stocks=10, cost_bps=10, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0116 | cost_bps: 10 n_stocks: 10 regime_gate: false | -0.71 | -1.31 | -0.62 | +0.76 |
lookback_days=60, n_stocks=20, cost_bps=5, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0122 | cost_bps: 5 n_stocks: 20 regime_gate: false | -0.56 | -1.17 | -0.16 | +0.48 |
lookback_days=60, n_stocks=20, cost_bps=10, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0128 | cost_bps: 10 n_stocks: 20 regime_gate: false | -0.74 | -1.35 | -0.33 | +0.27 |
lookback_days=60, n_stocks=50, cost_bps=5, regime_gate=False, holding_days=20 r-skewness-reversal-us-sp500-0134 | cost_bps: 5 n_stocks: 50 regime_gate: false | -0.83 | -1.54 | -0.23 | +0.02 |