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        0.07461995613915118
      ]
    },
    "noise": {
      "labels": [
        "0.05",
        "0.1",
        "0.2",
        "0.3",
        "0.5",
        "0.75",
        "1.0",
        "1.5"
      ],
      "median_sharpe": [
        1.1227842423828724,
        1.1186613793747593,
        1.1026127355599662,
        1.0773344802630591,
        1.0067917418727668,
        0.9014387513616217,
        0.7974934929665347,
        0.6263909527461583
      ],
      "p10_sharpe": [
        1.122368907106342,
        1.1170091851957948,
        1.0961459482365639,
        1.0632842163505847,
        0.9715786564432046,
        0.834619768778716,
        0.6994909328651029,
        0.4770576305786136
      ],
      "p90_sharpe": [
        1.1231995776594028,
        1.1203135735537237,
        1.1090795228833685,
        1.0913847441755335,
        1.042004827302329,
        0.9682577339445273,
        0.8954960530679665,
        0.775724274913703
      ]
    },
    "regimes": {
      "labels": [
        "Strong bull",
        "Bull",
        "Sideways",
        "Bear",
        "Strong bear",
        "Volatility up",
        "Volatility down"
      ],
      "strategy": [
        0.011636582825253483,
        0.005592908457740274,
        -0.012284272679953585,
        -0.002751111895309713,
        0.006414061593100835,
        0.004677796199735819,
        0.005602577787551702
      ],
      "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-max-sharpe.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/us-max-sharpe.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 Max Sharpe receives a research grade of F (composite 38 / 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=0.169, excess -0.24% 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 31%; over 24.0 months is 22%. This is the Paper-to-Profit 'realistic path' test, not a reshuffled iid sample.",
    "persistence": "16% of 12-month OLS windows have a significantly positive slope and 52% are significantly negative. Terminal strategy/SPY wealth ratio is 0.49. 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 0.52; second/first-half Sharpe ratio is 0.65. 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 0.468%. 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 32.5% vs SPY -38.4%; Global Financial Crisis: strategy 8.3% vs SPY -46.0%; COVID crash: strategy -5.1% vs SPY -19.4%; 2022 inflation shock: strategy -27.3% vs SPY -23.9%.",
    "headline": "Published CAGR 7.76% / Sharpe 1.12 / max DD -27.3% 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": 20.792079207920793,
    "sharpe": 70.29702970297029,
    "score": 9.900990099009901
  },
  "generated_at": "2026-09-22T18:23:05Z"
}