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  },
  "tools": [
    {
      "id": "strategy_report",
      "title": "Strategy report",
      "href": "../strategies/bogleheads-4-fund.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/bogleheads-4-fund.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": "Bogleheads Four-Fund receives a research grade of F (composite 44 / 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=0.021, excess -0.14% 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 37%; over 24.0 months is 30%. 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 48% are significantly negative. Terminal strategy/SPY wealth ratio is 0.65. 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 1.06; second/first-half Sharpe ratio is 0.70. 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 0.005%. 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 -28.8% vs SPY -38.4%; Global Financial Crisis: strategy -36.9% vs SPY -46.0%; COVID crash: strategy -16.8% vs SPY -19.4%; 2022 inflation shock: strategy -22.9% vs SPY -23.9%.",
    "headline": "Published CAGR 9.54% / Sharpe 0.82 / max DD -42.6% over 457 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": {
    "cagr": 44.554455445544555,
    "sharpe": 18.316831683168317,
    "score": 42.07920792079208
  },
  "generated_at": "2026-09-22T18:23:05Z"
}