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        0.07134418656307817,
        0.07131595893547304,
        0.07128773198961391,
        0.071259505725485,
        0.07123128014307434,
        0.07120305524236548,
        0.0711748310233411,
        0.07114660748599055,
        0.07111838463029718,
        0.071090162456245,
        0.07106194096381824,
        0.07103372015300491,
        0.07100550002378903,
        0.0709772805761546
      ]
    },
    "noise": {
      "labels": [
        "0.05",
        "0.1",
        "0.2",
        "0.3",
        "0.5",
        "0.75",
        "1.0",
        "1.5"
      ],
      "median_sharpe": [
        1.3416891966662472,
        1.3368271903530942,
        1.3178946735635138,
        1.2880527220024949,
        1.2046408762091065,
        1.0797244130637704,
        0.9561094689997036,
        0.7519417964688155
      ],
      "p10_sharpe": [
        1.341199447968285,
        1.334878839761186,
        1.3102665679347314,
        1.2714720309054068,
        1.163036631374002,
        1.0006452292850652,
        0.8399458020017782,
        0.5745278277116237
      ],
      "p90_sharpe": [
        1.3421789453642095,
        1.3387755409450024,
        1.325522779192296,
        1.304633413099583,
        1.2462451210442111,
        1.1588035968424757,
        1.072273135997629,
        0.9293557652260074
      ]
    },
    "regimes": {
      "labels": [
        "Strong bull",
        "Bull",
        "Sideways",
        "Bear",
        "Strong bear",
        "Volatility up",
        "Volatility down"
      ],
      "strategy": [
        0.007815806873409976,
        0.006167337659358727,
        -0.005095733025705481,
        0.0017702400433621055,
        -0.008943873253266288,
        0.00444831050041099,
        0.00469418506338018
      ],
      "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-diversification.html",
      "status": "ok",
      "note": "Equity, allocations, and replication metrics."
    },
    {
      "id": "quantstats",
      "title": "QuantStats tearsheet",
      "href": "../tearsheets/strategies/us-max-diversification.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 Diversification receives a research grade of F (composite 36 / 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=0.037, 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 33%; over 24.0 months is 23%. 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 55% are significantly negative. Terminal strategy/SPY wealth ratio is 0.31. 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 0.46; second/first-half Sharpe ratio is 0.57. 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 0.105%. 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 24.8% vs SPY -38.4%; Global Financial Crisis: strategy -2.7% vs SPY -46.0%; COVID crash: strategy -0.6% vs SPY -19.4%; 2022 inflation shock: strategy -18.9% vs SPY -23.9%.",
    "headline": "Published CAGR 7.17% / Sharpe 1.34 / max DD -20.3% 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": 13.861386138613861,
    "sharpe": 94.55445544554455,
    "score": 6.435643564356436
  },
  "generated_at": "2026-09-22T18:23:05Z"
}
