低ボラティリティ・アノマリー(東証グロース)のバックテスト
Low Volatility Anomaly (JP Growth Stocks)
東証グロース(約495銘柄)で低ボラティリティ・アノマリーをバックテストした。320通りの中央値 Sharpe は +0.19。p-value は 0.47。Max DD は -24.3%。期間は 2022-02-01〜2026-09-01。最良 Sharpe +2.22 は代表値ではない。
判定は marginal。どこかのパラメータでは p-value が 0.10 を下回るが、中央値自体は promising の基準(Sharpe > 0.5 かつ p-value < 0.05)に届いていない。主因は no_edge。レジーム・取引回数・コストには分類されず、中央値が採用ラインに届いていない。
何を検証したか
低ボラティリティ・アノマリーは、値動きの小さい銘柄の方がリスクあたりで得だ、という主張です。低いボラティリティの銘柄を持ち続ける側で検証していて、相場の局面が変わると成績が割れやすいタイプです。中央値がマイナス、または主因が regime_dependent なら、低リスクだから安全とは読めません。
成績の中央値
仮説
原文は英語。
Baker, Bradley, Wurgler (2011): low-volatility stocks earn higher risk-adjusted returns. LONG lowest realized vol quintile, SHORT highest. Tests whether the low-vol anomaly holds in TSE Growth Market.
採用しなかった理由
Across 320 grid combinations, median Sharpe=0.19, best=2.22. Primary failure mode: no_edge.
検証ファクト (5)
検証ラン (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-jp-growth-0000 | cost_bps: 5 n_stocks: 5 vol_window: 20 | +2.22 | +1.26 | +2.51 | +7.18 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0001 | cost_bps: 5 n_stocks: 5 vol_window: 20 | +2.03 | -1.73 | +2.51 | +7.18 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0002 | cost_bps: 10 n_stocks: 5 vol_window: 20 | +2.06 | +1.15 | +2.33 | +6.96 |
vol_window=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0003 | cost_bps: 10 n_stocks: 5 vol_window: 20 | +1.88 | -2.05 | +2.33 | +6.96 |
vol_window=20, holding_days=1, n_stocks=50, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0012 | cost_bps: 5 n_stocks: 50 vol_window: 20 | +0.77 | +0.33 | +0.80 | +2.41 |
vol_window=20, holding_days=5, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0017 | cost_bps: 5 n_stocks: 5 vol_window: 20 | +0.63 | -0.31 | +0.52 | +8.82 |
vol_window=20, holding_days=5, n_stocks=50, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0030 | cost_bps: 10 n_stocks: 50 vol_window: 20 | +0.21 | -0.39 | +0.53 | -0.43 |
vol_window=20, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0043 | cost_bps: 10 n_stocks: 20 vol_window: 20 | +0.11 | -0.81 | +0.21 | +1.17 |
vol_window=20, holding_days=20, n_stocks=20, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0056 | cost_bps: 5 n_stocks: 20 vol_window: 20 | +0.32 | -0.81 | +0.67 | +0.60 |
vol_window=20, holding_days=60, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0064 | cost_bps: 5 n_stocks: 5 vol_window: 20 | +0.66 | +2.54 | +0.36 | -2.70 |
vol_window=20, holding_days=60, n_stocks=10, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0070 | cost_bps: 10 n_stocks: 10 vol_window: 20 | +0.24 | +1.09 | +0.07 | -0.08 |
vol_window=40, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0083 | cost_bps: 10 n_stocks: 5 vol_window: 40 | +0.85 | -2.35 | +1.07 | +3.10 |
vol_window=40, holding_days=5, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0096 | cost_bps: 5 n_stocks: 5 vol_window: 40 | +0.52 | -0.20 | +0.83 | +36.94 |
vol_window=40, holding_days=5, n_stocks=50, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0109 | cost_bps: 5 n_stocks: 50 vol_window: 40 | +0.42 | -0.40 | +0.58 | +0.81 |
vol_window=40, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0122 | cost_bps: 10 n_stocks: 20 vol_window: 40 | -0.01 | -0.79 | +0.20 | +0.01 |
vol_window=40, holding_days=20, n_stocks=10, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0135 | cost_bps: 10 n_stocks: 10 vol_window: 40 | -0.02 | -0.99 | +0.05 | +0.13 |
vol_window=40, holding_days=60, n_stocks=10, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0148 | cost_bps: 5 n_stocks: 10 vol_window: 40 | +0.05 | +1.01 | -0.19 | +1.05 |
vol_window=60, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0161 | cost_bps: 5 n_stocks: 5 vol_window: 60 | +0.72 | -1.42 | +1.03 | +0.11 |
vol_window=60, holding_days=1, n_stocks=50, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0174 | cost_bps: 10 n_stocks: 50 vol_window: 60 | +0.11 | -0.74 | +0.34 | +2.61 |
vol_window=60, holding_days=5, n_stocks=20, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0187 | cost_bps: 10 n_stocks: 20 vol_window: 60 | +0.26 | -0.99 | +0.36 | +0.72 |
vol_window=60, holding_days=10, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0195 | cost_bps: 10 n_stocks: 5 vol_window: 60 | -0.83 | -1.27 | -0.77 | -1.71 |
vol_window=60, holding_days=10, n_stocks=20, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0201 | cost_bps: 5 n_stocks: 20 vol_window: 60 | -0.08 | -0.91 | +0.01 | +0.11 |
vol_window=60, holding_days=20, n_stocks=10, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0214 | cost_bps: 10 n_stocks: 10 vol_window: 60 | -0.31 | -0.23 | -0.40 | +0.36 |
vol_window=60, holding_days=60, n_stocks=5, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0227 | cost_bps: 10 n_stocks: 5 vol_window: 60 | -0.31 | -1.24 | -0.27 | -1.05 |
vol_window=120, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0240 | cost_bps: 5 n_stocks: 5 vol_window: 120 | +0.84 | +1.13 | +0.87 | -0.95 |
vol_window=120, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0241 | cost_bps: 5 n_stocks: 5 vol_window: 120 | +0.55 | -0.77 | +0.87 | -0.95 |
vol_window=120, holding_days=1, n_stocks=50, cost_bps=10, regime_gate=False r-low-volatility-anomaly-jp-growth-0254 | cost_bps: 10 n_stocks: 50 vol_window: 120 | -0.10 | -0.52 | -0.15 | +5.15 |
vol_window=120, holding_days=5, n_stocks=20, cost_bps=10, regime_gate=True r-low-volatility-anomaly-jp-growth-0267 | cost_bps: 10 n_stocks: 20 vol_window: 120 | -0.40 | -0.92 | -0.38 | +0.21 |
vol_window=120, holding_days=10, n_stocks=20, cost_bps=5, regime_gate=False r-low-volatility-anomaly-jp-growth-0280 | cost_bps: 5 n_stocks: 20 vol_window: 120 | -0.46 | -0.45 | -0.40 | -1.14 |
vol_window=120, holding_days=20, n_stocks=10, cost_bps=5, regime_gate=True r-low-volatility-anomaly-jp-growth-0293 | cost_bps: 5 n_stocks: 10 vol_window: 120 | +0.33 | +0.31 | +0.42 | -0.62 |