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  "tools": [
    {
      "id": "strategy_report",
      "title": "Strategy report",
      "href": "../strategies/split-momentum-pair.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/split-momentum-pair.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": "Split-Lookback Momentum Pair receives a research grade of F (composite 55 / 100) on Paper-to-Profit robustness tests run against published monthly ours versus SPY. On these tests the published path does not currently support a constructive allocation case.",
    "edge": "The path makes money vs zero (p=0.000) but is not a significant edge versus SPY (p=0.952, excess 0.01% per month). Same failure mode as a strategy that only rides beta.",
    "bootstrap": "Block bootstrap of consecutive months (400 paths): P(beat SPY) over 6.0 months is 39%; over 24.0 months is 34%. This is the Paper-to-Profit 'realistic path' test, not a reshuffled iid sample.",
    "persistence": "22% of 12-month OLS windows have a significantly positive slope and 41% are significantly negative. Terminal strategy/SPY wealth ratio is 1.14. 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 0.77; second/first-half Sharpe ratio is 0.66. 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 1.544%. 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 19% of classified months (4.0/7.0 regimes). In bear/strong-bear/vol-down months it beats SPY 100% of the time. Crisis windows: Dot-com bust: strategy 3.9% vs SPY -38.4%; Global Financial Crisis: strategy 23.4% vs SPY -46.0%; COVID crash: strategy 13.3% vs SPY -19.4%; 2022 inflation shock: strategy -14.9% vs SPY -23.9%.",
    "headline": "Published CAGR 11.03% / Sharpe 0.86 / max DD -28.0% over 413 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."
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}