リターンの自己相関(米国S&P500)のバックテスト
Return Autocorrelation Factor (US S&P 500)
slug: return-autocorrelation-us-sp500
米国S&P500(約503銘柄)でリターンの自己相関をバックテストした。320通りの中央値 Sharpe は -0.58。p-value は 0.16。Max DD は -17.3%。期間は 2022-02-01〜2026-09-01。最良 Sharpe +0.72 は代表値ではない。
判定は rejected。中央値は promising(Sharpe > 0.5 かつ p-value < 0.05)にも marginal(Sharpe > 0.05 かつ最良 p-value < 0.10)にも届いていない。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。
成績の中央値
Sharpe(中央値)
-0.58
Max DD
-17.3%
勝率
—
Alpha(年率)
—
p-value
0.16
期間: 2022-02-01 → 2026-09-01
320通りの Sharpe:中央値 -0.58最良 0.72 (代表値ではない)最悪 -2.24p25–p75 -0.92–-0.18
仮説
原文は英語。
Jegadeesh (1990): serial correlation in stock returns. Applied to S&P 500 constituents.
採用しなかった理由
Across 320 grid combinations, median Sharpe=-0.58, best=0.72. Primary failure mode: no_edge.
検証ファクト (5)
Best grid Sharpe ratio is 0.72 (p=0.13).
period 2022-02-01–2026-09-01; cost=5bps
cite ↗ /cite/return-autocorrelation-us-sp500-fact-best-sharpevia r-return-autocorrelation-us-sp500-0289
Median Sharpe across 320 grid runs is -0.58.
Full grid of 320 parameter combinations.
Median Sharpe in DOWN regime is -1.90 across 320 runs.
Regime=DOWN, N225 SMA20/SMA60 classification.
Median Sharpe in FLAT regime is -0.46 across 320 runs.
Regime=FLAT, N225 SMA20/SMA60 classification.
Median Sharpe in UP regime is -0.24 across 320 runs.
Regime=UP, N225 SMA20/SMA60 classification.
検証ラン (30)
| run | params | sharpe | UP | FLAT | DOWN |
|---|---|---|---|---|---|
formation_days=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0000 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.21 | -0.38 | -0.22 | +0.32 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0001 | cost_bps: 5 n_stocks: 5 regime_gate: true | -0.03 | -0.07 | -0.22 | +0.32 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0002 | cost_bps: 10 n_stocks: 5 regime_gate: false | -0.58 | -0.70 | -0.77 | -0.04 |
formation_days=20, holding_days=1, n_stocks=5, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0003 | cost_bps: 10 n_stocks: 5 regime_gate: true | -0.36 | -0.27 | -0.77 | -0.04 |
formation_days=20, holding_days=1, n_stocks=50, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0012 | cost_bps: 5 n_stocks: 50 regime_gate: false | -0.82 | -1.03 | -0.35 | -0.99 |
formation_days=20, holding_days=5, n_stocks=5, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0018 | cost_bps: 10 n_stocks: 5 regime_gate: false | -0.88 | -0.86 | -1.11 | -0.50 |
formation_days=20, holding_days=10, n_stocks=5, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0032 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.56 | -1.08 | -0.17 | -0.22 |
formation_days=20, holding_days=10, n_stocks=50, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0046 | cost_bps: 10 n_stocks: 50 regime_gate: false | -1.01 | -0.81 | -0.61 | -2.35 |
formation_days=20, holding_days=20, n_stocks=50, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0060 | cost_bps: 5 n_stocks: 50 regime_gate: false | -0.73 | -1.04 | +0.29 | -1.77 |
formation_days=20, holding_days=60, n_stocks=5, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0064 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.54 | -0.32 | -0.18 | -1.70 |
formation_days=20, holding_days=60, n_stocks=20, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0075 | cost_bps: 10 n_stocks: 20 regime_gate: true | +0.05 | +0.83 | -0.47 | -1.86 |
formation_days=40, holding_days=1, n_stocks=20, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0089 | cost_bps: 5 n_stocks: 20 regime_gate: true | -0.58 | -0.10 | -0.62 | -2.09 |
formation_days=40, holding_days=5, n_stocks=10, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0103 | cost_bps: 10 n_stocks: 10 regime_gate: true | -0.57 | +0.45 | -0.90 | -2.39 |
formation_days=40, holding_days=10, n_stocks=10, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0117 | cost_bps: 5 n_stocks: 10 regime_gate: true | -0.27 | +0.31 | -0.26 | -2.23 |
formation_days=40, holding_days=20, n_stocks=5, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0131 | cost_bps: 10 n_stocks: 5 regime_gate: true | +0.35 | +0.79 | -0.15 | +0.56 |
formation_days=40, holding_days=60, n_stocks=5, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0145 | cost_bps: 5 n_stocks: 5 regime_gate: true | +0.07 | +0.57 | -0.52 | -0.00 |
formation_days=40, holding_days=60, n_stocks=50, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0159 | cost_bps: 10 n_stocks: 50 regime_gate: true | -0.12 | +0.85 | -0.90 | -2.97 |
formation_days=60, holding_days=1, n_stocks=50, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0173 | cost_bps: 5 n_stocks: 50 regime_gate: true | -0.96 | -0.77 | -0.89 | -1.56 |
formation_days=60, holding_days=5, n_stocks=20, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0187 | cost_bps: 10 n_stocks: 20 regime_gate: true | -0.90 | +0.20 | -0.80 | -4.11 |
formation_days=60, holding_days=5, n_stocks=50, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0190 | cost_bps: 10 n_stocks: 50 regime_gate: false | -2.24 | -1.99 | -2.11 | -3.53 |
formation_days=60, holding_days=10, n_stocks=20, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0202 | cost_bps: 10 n_stocks: 20 regime_gate: false | -1.17 | -0.75 | -0.68 | -3.29 |
formation_days=60, holding_days=20, n_stocks=20, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0216 | cost_bps: 5 n_stocks: 20 regime_gate: false | -0.84 | -1.05 | +0.17 | -2.65 |
formation_days=60, holding_days=60, n_stocks=10, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0230 | cost_bps: 10 n_stocks: 10 regime_gate: false | -0.60 | -0.31 | -0.71 | -1.58 |
formation_days=120, holding_days=1, n_stocks=5, cost_bps=5, regime_gate=False r-return-autocorrelation-us-sp500-0240 | cost_bps: 5 n_stocks: 5 regime_gate: false | -0.88 | -0.82 | -0.81 | -1.32 |
formation_days=120, holding_days=1, n_stocks=10, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0245 | cost_bps: 5 n_stocks: 10 regime_gate: true | -0.65 | -0.72 | +0.23 | -1.70 |
formation_days=120, holding_days=5, n_stocks=5, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0259 | cost_bps: 10 n_stocks: 5 regime_gate: true | -0.54 | -0.23 | -0.52 | -1.38 |
formation_days=120, holding_days=10, n_stocks=5, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0273 | cost_bps: 5 n_stocks: 5 regime_gate: true | -0.20 | +0.33 | -0.13 | -2.03 |
formation_days=120, holding_days=10, n_stocks=50, cost_bps=10, regime_gate=True r-return-autocorrelation-us-sp500-0287 | cost_bps: 10 n_stocks: 50 regime_gate: true | -0.24 | +0.44 | -0.06 | -3.14 |
formation_days=120, holding_days=20, n_stocks=5, cost_bps=5, regime_gate=True r-return-autocorrelation-us-sp500-0289 | cost_bps: 5 n_stocks: 5 regime_gate: true | +0.72 | +1.55 | +0.34 | -0.46 |
formation_days=120, holding_days=20, n_stocks=50, cost_bps=10, regime_gate=False r-return-autocorrelation-us-sp500-0302 | cost_bps: 10 n_stocks: 50 regime_gate: false | -0.59 | -0.63 | +0.47 | -3.21 |
対象ユニバース
S&P 500 constituents, ~503 stocks
関連する戦略
source: qbuntu-analysis · kabu STATION REST API + J-Quants daily bars
computed asof: 2026-09-24T21:54:29