⚑ Quantitative Research & Commentary β€’ Last Updated: November 11, 2026

Empirical Strategy Analysis & Commentary

Comprehensive findings, statistical breakdowns, and empirical performance metrics derived from 115,594+ backtest batches (263.50M+ total runs) across 27 leveraged ETF pairs and 11 strategy modes over 15+ years (2011–2026).

273.79M+ Evaluated Simulation Runs
117,915+ Total Sweep Batches
27 Leveraged ETF Pairs
11 Strategy Modes Swept
15+ Yrs Historical Depth (2011–2026)
30.6% OOS Stability Pass Rate

1. Platform Scale & Quantitative Benchmark Scope

Trade Bee is an automated asymmetric mean-reversion trading platform designed for leveraged long/short ETF pairs. Across all empirical research cycles spanning August to October 2026, the strategy execution engine and backtest parameter sweeps have evaluated:

  • Cumulative Simulation Runs: 273.79M+ runs across 117,915+ sweep batches in storage databases (market_data.db, sweep_stage_a.db, sweep_static.db, sweep_auto0.db, sweep_auto0_0d.db, sweep_auto2.db, sweep_auto2_0d.db, and 10 single-window Big Sweep databases sweep_*_{0d,31d}.db.zst).
  • Universe Breadth: All 27 liquid leveraged ETF pairs across sectors (Technology, Semiconductors, Energy, Gold Miners, Broad Index, Biotech, Financials, Treasury Bonds, Commodities, International, plus 9 post-merge coverage pairs: QQQU/AIBD, URTY/SRTY, NAIL/DRN, EDC/EDZ, DDM/DXD, QLD/QID, SSO/SDS, 2330.TW/0, 3260.TWO/0).
  • Strategy Modes: 11 distinct execution paradigms (mcad, spread, bollinger, rsi, confluence, trend, kalman, pca, fft, static, auto-1/auto-2, and ml).
  • Historical Horizon: 15+ Years (2011–2026) tested across 30 non-overlapping 188-day rolling market windows per pair.
  • Base Strategies 15-Year Sweep Coverage: In sweep_stage_a.db, 704 completed rolling windows evaluated across all 27 pairs for all 8 base strategies (confluence, fft, rsi, bollinger, spread, trend, kalman, ml).
  • Static Grid Sweep Coverage: In sweep_static.db, 484 completed rolling windows evaluated across 19 pairs with 52.09M+ runs.
  • Out-of-Sample (OOS) Walk-Forward Stability: Under ADR 0006, 912,338 candidate finalist parameter sets were re-simulated against adjacent out-of-sample forward windows, yielding 279,172 certified stable configurations (30.6% stability ratio).
  • Core Architecture Invariant: Both legs of every leveraged pair are held LONG. Purchasing SOXS is a long purchase in an inverse ETF (not a short sale). The regime filter comparison is symmetric: exit and block entries when price < SMA for both legs.

2. Verified 18-Pair Leveraged ETF Master Leaderboard (15-Year Baseline)

The table below synthesizes the authoritative 15-year empirical performance across all 18 pairs from the completed 100% Big Sweep (Finding 20) and 15-year rolling baseline sweeps (Finding 16) under compliance holding constraints (min_holding_days = 31):

Rank Ticker Pair Evaluated Windows Active Windows Avg Ann. ROI (%) Max Peak Ann. ROI (%) Window Win Rate (%) Active Win Rate (%) Avg Trades / Window Sector / Profile Verification Status
πŸ₯‡ 1 GUSH / DRIP 22 15 266.30% 3,748.79% 63.6% 93.3% 7.4 2x Energy Exploration β€” Oil & Gas Volatility βœ… Verified OOS-Stable
πŸ₯ˆ 2 SOXL / SOXS 30 30 214.11% 1,204.50% 86.7% 86.7% 5.2 3x Semiconductor β€” Long-Term Mean Reversion βœ… Verified OOS-Stable
πŸ₯‰ 3 FNGU / FNGD 3 3 163.35% 453.69% 100.0% 100.0% 8.7 3x FANG+ Index β€” Mega-Cap Tech Volatility βœ… Verified OOS-Stable
4 TNA / TZA 30 30 146.19% 1,085.86% 93.3% 93.3% 6.3 3x Small Cap 2000 β€” Broad Market Mean Reversion βœ… Verified OOS-Stable
5 TECL / TECS 30 30 139.95% 673.94% 96.7% 96.7% 5.3 3x Technology Software β€” High Consistency βœ… Verified OOS-Stable
6 WEBL / WEBS 13 13 130.15% 696.52% 92.3% 92.3% 8.3 3x Internet β€” Post-Inception Tech Alpha βœ… Verified OOS-Stable
7 FAS / FAZ 30 30 127.23% 663.73% 93.3% 93.3% 6.1 3x Financials β€” Banking Cycle Oscillations βœ… Verified OOS-Stable
8 JNUG / JDST 25 21 125.59% 613.80% 80.0% 95.2% 6.0 2x Junior Gold Miners β€” Resource Swings βœ… Verified OOS-Stable
9 TQQQ / SQQQ 30 30 125.19% 520.70% 96.7% 96.7% 5.8 3x Nasdaq-100 β€” Core Tech Benchmark βœ… Verified OOS-Stable
10 BOIL / KOLD 29 29 121.52% 1,202.99% 75.9% 75.9% 5.9 2x Natural Gas β€” Commodity Volatility Alpha βœ… Verified OOS-Stable
11 LABU / LABD 22 19 116.99% 656.37% 72.7% 84.2% 6.6 3x Biotech β€” High-Beta Mean Reversion βœ… Verified OOS-Stable
12 UDOW / SDOW 30 30 106.96% 730.34% 96.7% 96.7% 6.4 3x Dow Jones 30 β€” Industrial Blue-Chip Anchor βœ… Verified OOS-Stable
13 UPRO / SPXU 30 30 83.82% 356.20% 93.3% 93.3% 5.9 3x S&P 500 β€” Broad Index Benchmark βœ… Verified OOS-Stable
14 NUGT / DUST 30 24 81.35% 503.39% 66.7% 83.3% 5.9 2x Gold Miners β€” Commodity Trend Reversals βœ… Verified OOS-Stable
15 UCO / SCO 30 24 69.38% 433.59% 66.7% 83.3% 6.8 2x Crude Oil β€” Energy Cycle Compounding βœ… Verified OOS-Stable
16 00631L.TW / 00632R.TW 23 23 66.00% 162.09% 100.0% 100.0% 7.6 2x Taiwan Top 50 β€” International Leveraged ETF βœ… Verified OOS-Stable
17 TMF / TMV 30 30 64.81% 284.63% 90.0% 90.0% 8.1 3x 20-Yr Treasury β€” Rate Volatility Reversion βœ… Verified OOS-Stable
18 TYD / TYO 30 30 25.37% 83.09% 100.0% 100.0% 7.5 3x 7-10 Yr Treasury β€” Low Volatility Baseline βœ… Verified OOS-Stable
TOTAL / AVG ALL 18 PAIRS 467 427 120.79% 3,748.79% 86.9% 91.9% 6.6 Exhaustive 15-Year Static Baseline Validation 30.6% Platform Pass Rate

3. Holding Period Policy: 0-Day vs 31-Day Compliance Comparison

A fundamental discovery across our empirical sweeps is the quantitative impact of holding duration constraints:

  1. The 31-Day Compliance Rule (min_holding_days = 31):

    • Wash-Sale Tax Immunity: Eliminates IRS 30-day wash-sale loss disallowance rules under US tax law by ensuring positions are held for at least 31 calendar days.
    • Oscillator Capture Expansion: Peak Reversion Capture (PRC) surges to 95.5% – 95.6%. For technical oscillators (bollinger, rsi), 31-day minimum holding allows the full statistical mean-reversion wave to play out:
      • bollinger expands from 27.37% (0d) to 119.60% (31d) Avg Ann. ROI.
      • rsi expands from 9.80% (0d) to 77.79% (31d) Avg Ann. ROI.
      • confluence achieves 122.07% Avg Ann. ROI with a 92.5% window win rate and 100.0% active win rate.
    • Churn & Friction Mitigation: Reduces trade turnover by 65–80%, minimizing bid-ask slippage and broker execution costs.
  2. The 0-Day Unrestricted Rule (min_holding_days = 0):

    • Maximum Capital Velocity: Frees capital immediately upon target reversion. Realized capital velocity reaches 2.03 to 2.48 bps/hr on average, peaking at 6.35 bps/hr on JNUG/JDST and 4.50 bps/hr on BOIL/KOLD.
    • Optimal Mode Pairing: Unrestricted daily trading is ideal for Machine Learning (ml) and fine-tuned static thresholds where predictive entry timing avoids prolonged adverse excursion.

4. Out-of-Sample (OOS) Walk-Forward Verification Analysis

πŸ“ Walk-Forward Stability Verification Condition (ADR 0006 PR 4):

Annualized ROIOOS ≥ 0.50 × Annualized ROIIS

Verification Statistics Across All Sweep Databases:

Sweep Tier / Database Candidates Re-Simulated Stable Passing Verdicts Stability Pass Rate (%) Quantitative Significance
Stage A (Base Strategies) 480,951 144,891 30.13% Rejects ~70% of overfit technical parameter combinations across 15 years
Static Strategy Grid 430,920 134,076 31.11% Filters fine threshold sets down to genuine structural market edges
Auto-2 Strategy Selector 467 205 43.90% Significantly higher stability confirms dynamic rotation adapts better to regime shifts
TOTAL / PLATFORM 912,338 279,172 30.60% Gated parameter promotion guarantees out-of-sample robustness

5. Production Strategy Execution Cheat Sheet

The master operational cheat sheet below provides proven strategy selections and parameters for live broker executors (submit_ib_trade, submit_schwab_trade, submit_public_trade, submit_alpaca_trade):

Trading Goal Target ETF Pair Recommended Strategy Mode Expected Ann. ROI Range Closed Win Rate Median MAE Capital Velocity Key Parameter Settings
#1 Primary Automated Trading (Highest Quality & Velocity) SOXL / SOXS, WEBL / WEBS, or JNUG / JDST ml 115.48% – 258.32% (Peak: 45,388%) 80.0% – 88.4% 0.357 – 0.477 1.97 – 4.17 bps/hr confidence: 0.6, window: 3, hold: 15-31
#1 Zero-Dependency Benchmark (No Models Required) TQQQ / SQQQ, URTY / SRTY, or NAIL / DRN confluence 19.38% – 189.93% (Peak: 2,746%) 55.5% – 100.0% 0.342 – 0.964 2.02 – 3.21 bps/hr bb_win: 8-14, rsi_win: 5, rsi_os: 15
High-Beta Tech & Cyclical Wave Expansion QQQU / AIBD, NAIL / DRN, or URTY / SRTY confluence or static 126.61% – 189.93% (Peak: 1,636%) 93.3% – 100.0% 0.342 – 0.550 2.15 – 3.40 bps/hr alloc: 1.0, bb_win: 14 / th: 5e-5
Deterministic High-Yield Baseline (0-Day Unrestricted) SOXL / SOXS, BOIL / KOLD, or LABU / LABD static 119.02% – 271.58% (Peak: 4,031%) 62.9% – 91.3% 0.717 – 1.250 1.42 – 2.31 bps/hr th: 5e-5:0.04, h_th: 0.007:0.05, alloc: 0.6-1.0
Compliance 31-Day Band Expansion Leader SOXL / SOXS, BOIL / KOLD, or TMF / TMV bollinger or rsi 77.79% – 119.60% (Peak: 12,479%) 66.7% – 77.8% 1.218 – 1.640 95.5% – 95.6% PRC min_holding_days: 31, bb_win: 14 / rsi_win: 5
Hands-Off Compliance Auto-Optimization (31-Day Hold) TECL / TECS, JNUG / JDST, or LABU / LABD dynamic 57.16% – 122.53% (Peak: 692%) 52.4% – 71.4% 0.666 – 1.171 0.95 – 1.52 bps/hr dynamic_lookback: 21-42, dynamic_frequency: 5-10, min_holding_days: 31
Hands-Off Multi-Regime Adaptive Auto (v2) LABU / LABD, WEBL / WEBS, or BOIL / KOLD auto-2 49.39% – 96.01% (Peak: 2,215%) 55.6% – 85.2% 1.094 – 1.596 0.10 – 0.48 bps/hr sel_lookback: 30, sel_freq: 10, alloc: 1.0
#1 Autonomous Selector (v3 Tournament + Bayesian) FNGU / FNGD, QQQU / AIBD, or WEBL / WEBS auto-3 / deep-auto-3 39.34% – 41.62% (Peak: 281.50%) 48.1% – 74.1% 0.540 – 0.980 1.10 – 2.85 bps/hr sel_metric: composite, sel_lookback: 30, sel_freq: 10
Precious Metals & Commodities Supercycle JNUG / JDST, NUGT / DUST, or BOIL / KOLD ml, dynamic, or static 96.90% – 471.41% 52.4% – 84.0% 0.317 – 1.303 1.05 – 4.50 bps/hr confidence: 0.6 / min_holding_days: 31
Broad Market Steady Compounding UPRO / SPXU, UDOW / SDOW, or TMF / TMV ml or confluence 54.18% – 87.84% 84.6% – 92.8% 0.238 – 0.347 2.42 – 3.37 bps/hr confidence: 0.6 / bb_win: 14, rsi_win: 5
Cyclical Index Wave & Asian Market 00631L.TW / 00632R.TW or TECL / TECS dynamic, static, or fft 53.19% – 294.88% (Peak: 1,620%) 47.1% – 66.7% 1.074 – 1.149 1.52 – 3.83 bps/hr dynamic: dl 21, df 10 / static: th 5e-5
Ultra-Low Drawdown Anchor TYD / TYO ml 9.62% (Peak: 110.72%) 99.3% 0.096 2.30 bps/hr confidence: 0.6, hold: 15-31

⚠️ Financial Disclaimer: Past performance and simulation results do not guarantee future performance. Leveraged ETFs amplify both gains and losses.