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  "tools": [
    {
      "id": "strategy_report",
      "title": "Strategy report",
      "href": "../strategies/letf-upro-zroz-gld.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/letf-upro-zroz-gld.html",
      "status": "ok",
      "note": "Full QuantStats HTML from the same monthly ours path."
    },
    {
      "id": "paper_to_profit",
      "title": "Paper to Profit robustness",
      "href": "https://papertoprofit.substack.com/t/tutorials",
      "status": "ok",
      "note": "t-test vs zero and SPY, overlapping-block bootstrap, rolling OLS alpha decay, 70/30 stability, extra-bps cost grid, return-space noise, and seven SPY regimes. Walk-forward parameter search is not estimable on this catalog snapshot."
    }
  ],
  "writeup": {
    "verdict": "LETF Baseline: UPRO / ZROZ / GLD receives a research grade of B (composite 82 / 100) on Paper-to-Profit robustness tests run against published monthly ours versus SPY. The statistical edge and stress tests are strong enough to keep as a candidate; this is still a historical scorecard, not a forecast.",
    "edge": "Monthly mean is 1.42%. t-test vs zero p=0.000; vs SPY p=0.003 (excess 0.52% per month). The path is statistically distinct from SPY on this window.",
    "bootstrap": "Block bootstrap of consecutive months (400 paths): P(beat SPY) over 6.0 months is 72%; over 24.0 months is 86%. This is the Paper-to-Profit 'realistic path' test, not a reshuffled iid sample.",
    "persistence": "60% of 12-month OLS windows have a significantly positive slope and 11% are significantly negative. Terminal strategy/SPY wealth ratio is 3.04. A steadily rising log-relative-wealth line is the decay test from the tutorial; a late collapse is a warning.",
    "stability": "70/30 OOS/IS Sharpe ratio is 1.24; second/first-half Sharpe ratio is 1.49. Walk-forward parameter search is not estimable on a frozen catalog snapshot; this split is the overfit proxy. Return-space noise did not halve Sharpe on the tested grid.",
    "cost": "Average daily turnover is 0.008%. Additional one-way costs through 24 bps did not cut Sharpe in half. That is the tutorial's cost-robust case.",
    "regimes": "The path beats SPY in 81% of classified months (3.0/6.0 regimes). In bear/strong-bear/vol-down months it beats SPY 0% of the time. Crisis windows: Dot-com bust: strategy -34.8% vs SPY -25.6%; Global Financial Crisis: strategy -61.1% vs SPY -46.0%; COVID crash: strategy -26.4% vs SPY -19.4%; 2022 inflation shock: strategy -44.2% vs SPY -23.9%.",
    "headline": "Published CAGR 15.18% / Sharpe 0.73 / max DD -66.6% over 293 months. Those headline stats are context only; the grade is the robustness tests above.",
    "limitations": "Tests use published monthly ours, already lagged one bar in the engine, versus SPY. t-tests assume roughly comparable monthly means; Wilcoxon is shown as a non-normal check. Bootstrap paths are overlapping consecutive months (not iid reshuffles). Noise is added to monthly returns, not to OHLC, because this producer does not rerun backtests. Walk-forward parameter optimization, SPA, and PBO are not estimable without a trial ledger. Fee drag is extra one-way bps on catalog average daily turnover, on top of the published costed path."
  },
  "ranks": {
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    "sharpe": 5.9405940594059405,
    "score": 96.53465346534654
  },
  "generated_at": "2026-09-22T18:23:05Z"
}