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        0.07033050116420014
      ]
    },
    "noise": {
      "labels": [
        "0.05",
        "0.1",
        "0.2",
        "0.3",
        "0.5",
        "0.75",
        "1.0",
        "1.5"
      ],
      "median_sharpe": [
        1.2636522022593482,
        1.2590546214107772,
        1.2411536765393971,
        1.2129437926246727,
        1.1341318592407994,
        1.0162024213468481,
        0.8996067775372757,
        0.7072290594172996
      ],
      "p10_sharpe": [
        1.263189075524817,
        1.2572122204216747,
        1.2339409920888804,
        1.1972681429997387,
        1.0948126296007035,
        0.9415043603385669,
        0.7899300233861226,
        0.5398389898301538
      ],
      "p90_sharpe": [
        1.2641153289938794,
        1.2608970223998797,
        1.2483663609899138,
        1.2286194422496066,
        1.1734510888808953,
        1.0909004823551294,
        1.0092835316884288,
        0.8746191290044455
      ]
    },
    "regimes": {
      "labels": [
        "Strong bull",
        "Bull",
        "Sideways",
        "Bear",
        "Strong bear",
        "Volatility up",
        "Volatility down"
      ],
      "strategy": [
        0.007793549413791767,
        0.007184932068801047,
        -0.005297072603803373,
        -7.359305087807255e-05,
        -0.014408098644722847,
        0.004115609044086603,
        0.004385142307552453
      ],
      "spy": [
        0.017424615282435912,
        0.008305375388603134,
        -0.023244102547507927,
        -0.018370732806505304,
        -0.07467284781452077,
        0.019801456311220798,
        -0.0064377281142873445
      ]
    }
  },
  "tools": [
    {
      "id": "strategy_report",
      "title": "Strategy report",
      "href": "../strategies/us-min-correlation.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/us-min-correlation.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": "US Min Correlation receives a research grade of F (composite 35 / 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=0.034, excess -0.36% 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 29%; over 24.0 months is 26%. This is the Paper-to-Profit 'realistic path' test, not a reshuffled iid sample.",
    "persistence": "14% of 12-month OLS windows have a significantly positive slope and 52% are significantly negative. Terminal strategy/SPY wealth ratio is 0.32. 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 0.42; second/first-half Sharpe ratio is 0.51. 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 0.087%. 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 22.1% vs SPY -38.4%; Global Financial Crisis: strategy -4.1% vs SPY -46.0%; COVID crash: strategy -6.5% vs SPY -19.4%; 2022 inflation shock: strategy -18.4% vs SPY -23.9%.",
    "headline": "Published CAGR 7.09% / Sharpe 1.27 / max DD -19.0% over 726 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": 13.366336633663366,
    "sharpe": 87.62376237623762,
    "score": 4.9504950495049505
  },
  "generated_at": "2026-09-22T18:23:05Z"
}