Low Volatility Anomaly (US S&P 500)
slug: low-volatility-anomaly-us-sp500
performance summary
Sharpe (median)
-1.00
Max DD
-58.9%
Win rate
—
Alpha (ann.)
—
p-value
0.04
backtest period: 2022-02-01 → 2026-06-01
Sharpe across 316 grid runs:median -1.00best -0.31 (not representative)worst -1.80p25–p75 -1.20–-0.69
Hypothesis
Baker, Bradley, Wurgler (2011): low-volatility stocks earn higher risk-adjusted returns. Applied to S&P 500 constituents.
Why it didn't work
Across 316 grid combinations, median Sharpe=-1.00, best=-0.31. Primary failure mode: no_edge.
Facts (5)
Best grid Sharpe ratio is -0.31 (p=0.28).
period 2022-02-01–2026-06-01; cost=5bps
cite ↗ /cite/low-volatility-anomaly-us-sp500-fact-best-sharpevia r-low-volatility-anomaly-us-sp500-0065
Median Sharpe across 316 grid runs is -1.00.
Full grid of 316 parameter combinations.
Median Sharpe in DOWN regime is -0.85 across 316 runs.
Regime=DOWN, N225 SMA20/SMA60 classification.
Median Sharpe in FLAT regime is -1.26 across 316 runs.
Regime=FLAT, N225 SMA20/SMA60 classification.
Median Sharpe in UP regime is -0.95 across 316 runs.
Regime=UP, N225 SMA20/SMA60 classification.
Runs (30)
| run | params | sharpe | UP | FLAT | DOWN |
|---|---|---|---|---|---|
vol_window=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0000 | cost_bps: 5 n_stocks: 5 vol_window: 20 | -0.95 | -1.27 | -1.18 | -0.10 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0001 | cost_bps: 5 n_stocks: 5 vol_window: 20 | -0.63 | -0.55 | -1.18 | -0.10 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0002 | cost_bps: 10 n_stocks: 5 vol_window: 20 | -1.10 | -1.49 | -1.30 | -0.23 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0003 | cost_bps: 10 n_stocks: 5 vol_window: 20 | -0.76 | -0.95 | -1.30 | -0.23 |
vol_window=20, holding_days=1, n_stocks=50, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0012 | cost_bps: 5 n_stocks: 50 vol_window: 20 | -0.75 | -0.80 | -1.65 | +0.26 |
vol_window=20, holding_days=5, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0017 | cost_bps: 5 n_stocks: 5 vol_window: 20 | -0.69 | +0.22 | -1.25 | -0.56 |
vol_window=20, holding_days=5, n_stocks=50, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0030 | cost_bps: 10 n_stocks: 50 vol_window: 20 | -1.43 | -1.78 | -1.67 | -0.58 |
vol_window=20, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0043 | cost_bps: 10 n_stocks: 20 vol_window: 20 | -1.12 | +0.37 | -2.36 | -0.92 |
vol_window=20, holding_days=20, n_stocks=20, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0056 | cost_bps: 5 n_stocks: 20 vol_window: 20 | -1.34 | -1.62 | -1.09 | -1.29 |
vol_window=20, holding_days=60, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0065 | cost_bps: 5 n_stocks: 5 vol_window: 20 | -0.31 | +0.68 | -0.85 | -0.16 |
vol_window=20, holding_days=60, n_stocks=20, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0072 | cost_bps: 5 n_stocks: 20 vol_window: 20 | -1.14 | -1.48 | -1.27 | -0.23 |
vol_window=40, holding_days=1, n_stocks=10, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0085 | cost_bps: 5 n_stocks: 10 vol_window: 40 | -0.64 | -0.99 | -1.11 | -0.27 |
vol_window=40, holding_days=5, n_stocks=5, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0098 | cost_bps: 10 n_stocks: 5 vol_window: 40 | -1.19 | -1.58 | -1.25 | -0.11 |
vol_window=40, holding_days=5, n_stocks=50, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0111 | cost_bps: 10 n_stocks: 50 vol_window: 40 | -0.67 | -0.45 | -1.26 | -0.32 |
vol_window=40, holding_days=10, n_stocks=50, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0124 | cost_bps: 5 n_stocks: 50 vol_window: 40 | -1.54 | -1.58 | -1.93 | -1.10 |
vol_window=40, holding_days=20, n_stocks=20, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0137 | cost_bps: 5 n_stocks: 20 vol_window: 40 | -0.64 | +0.35 | -1.01 | -0.91 |
vol_window=40, holding_days=60, n_stocks=10, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0150 | cost_bps: 10 n_stocks: 10 vol_window: 40 | -1.09 | -1.42 | -1.28 | +0.01 |
vol_window=60, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0163 | cost_bps: 10 n_stocks: 5 vol_window: 60 | -0.75 | -1.04 | -1.10 | -0.63 |
vol_window=60, holding_days=5, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0176 | cost_bps: 5 n_stocks: 5 vol_window: 60 | -0.93 | -1.29 | -0.85 | -0.23 |
vol_window=60, holding_days=5, n_stocks=50, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0189 | cost_bps: 5 n_stocks: 50 vol_window: 60 | -0.51 | -0.08 | -1.15 | -0.18 |
vol_window=60, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0202 | cost_bps: 10 n_stocks: 20 vol_window: 60 | -1.65 | -1.90 | -1.96 | -1.00 |
vol_window=60, holding_days=20, n_stocks=10, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0215 | cost_bps: 10 n_stocks: 10 vol_window: 60 | -0.68 | +0.42 | -0.83 | -1.46 |
vol_window=60, holding_days=60, n_stocks=10, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0228 | cost_bps: 5 n_stocks: 10 vol_window: 60 | -1.07 | -1.28 | -1.04 | -0.41 |
vol_window=120, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0240 | cost_bps: 5 n_stocks: 5 vol_window: 120 | -1.20 | -1.25 | -0.85 | -2.14 |
vol_window=120, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0242 | cost_bps: 10 n_stocks: 5 vol_window: 120 | -1.35 | -1.46 | -0.96 | -2.28 |
vol_window=120, holding_days=1, n_stocks=50, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0255 | cost_bps: 10 n_stocks: 50 vol_window: 120 | -1.26 | -0.86 | -1.58 | -1.84 |
vol_window=120, holding_days=5, n_stocks=50, cost_bps=5, regime_gate=False r-low-volatility-anomaly-us-sp500-0268 | cost_bps: 5 n_stocks: 50 vol_window: 120 | -1.17 | -1.41 | -1.04 | -0.76 |
vol_window=120, holding_days=10, n_stocks=20, cost_bps=5, regime_gate=True r-low-volatility-anomaly-us-sp500-0281 | cost_bps: 5 n_stocks: 20 vol_window: 120 | -1.09 | +0.32 | -1.96 | -1.44 |
vol_window=120, holding_days=10, n_stocks=50, cost_bps=10, regime_gate=False r-low-volatility-anomaly-us-sp500-0286 | cost_bps: 10 n_stocks: 50 vol_window: 120 | -1.80 | -1.80 | -1.98 | -1.60 |
vol_window=120, holding_days=20, n_stocks=10, cost_bps=10, regime_gate=True r-low-volatility-anomaly-us-sp500-0295 | cost_bps: 10 n_stocks: 10 vol_window: 120 | -0.73 | +0.36 | -0.97 | -1.47 |
Target universe
S&P 500 constituents, ~503 stocks
Related strategies
source: qbuntu-analysis · kabu STATION REST API + J-Quants daily bars
computed asof: 2026-07-31T01:31:48