{
  "notice": "Every input return is invented. This is educational arithmetic, not market evidence, a backtest, or a forecast.",
  "input_sha256": "e97e6d9f771f623dd2b26022ad10768c0139e2a36df43bbe7ce6fa43ce302d18",
  "protocol_sha256": "73161f9151cd769a26601a988c2b7b46ec6440c1d7d0ff8c49246a5bc4e57079",
  "observations": 24,
  "start": "2026-09-01",
  "end": "2026-09-24",
  "sample_means": [
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    0.0004583333333333333,
    -0.000125
  ],
  "sample_daily_volatilities": [
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    0.009141302193730468,
    0.010066355931474431
  ],
  "sample_covariance": [
    [
      7.96231884057971e-05,
      1.5318840579710148e-05,
      4.978260869565218e-05
    ],
    [
      1.5318840579710148e-05,
      8.356340579710146e-05,
      3.984239130434783e-05
    ],
    [
      4.978260869565218e-05,
      3.984239130434783e-05,
      0.00010133152173913045
    ]
  ],
  "sample_pearson_correlation": [
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      0.5542243288507593
    ],
    [
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      1.0,
      0.4329772203880938
    ],
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  "equal_volatility_examples": [
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      "portfolio_daily_volatility": 0.005773502691896258,
      "weighted_standalone_daily_volatility": 0.009999999999999998,
      "diversification_ratio": 1.732050807568877,
      "component_daily_volatility": [
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    "portfolio_daily_volatility": 0.013694889557787604,
    "weighted_standalone_daily_volatility": 0.0185,
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    "assumed_daily_volatilities": [
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    "assumed_common_pair_correlation": 0.3
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  "two_bot_analytical_check": {
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    "portfolio_daily_volatility": 0.011180339887498949,
    "weighted_standalone_daily_volatility": 0.015,
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    "component_sum": 0.01118033988749895,
    "assumed_daily_volatilities": [
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    "assumed_common_pair_correlation": 0
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  "assumed_joint_stress": {
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      "capital": 100000,
      "weights": [
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        0.35,
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      ],
      "cash_weight": 0.0,
      "assumed_sleeve_returns": [
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      "portfolio_return": -0.078,
      "portfolio_pnl": -7800.0,
      "ending_equity": 92200.0,
      "sleeve_pnl": [
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        -2100.0,
        -2500.0
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    "equal": {
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      "cash_weight": 0.0,
      "assumed_sleeve_returns": [
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      "portfolio_return": -0.07999999999999999,
      "portfolio_pnl": -7999.999999999999,
      "ending_equity": 92000.0,
      "sleeve_pnl": [
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    "20_percent_cash": {
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      "cash_weight": 0.19999999999999996,
      "assumed_sleeve_returns": [
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      "portfolio_pnl": -6240.000000000001,
      "ending_equity": 93760.0,
      "sleeve_pnl": [
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        -1680.0000000000002,
        -2000.0000000000005
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    }
  },
  "constructed_fixture_equity": {
    "initial_capital": 100000,
    "initial_weights": [
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      0.35,
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    ],
    "accounting": "initial allocation; no transfers or rebalancing; weights drift",
    "final_equity": 100532.90756952483,
    "net_pnl": 532.9075695248321,
    "net_return": 0.005329075695248431,
    "daily_close_max_drawdown": 0.02753000370765646,
    "sleeve_final_equity": [
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    "sleeve_net_returns": [
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    "sleeve_daily_close_max_drawdowns": [
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    "initial_weighted_average_of_sleeve_max_drawdowns": 0.03290558990932216,
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    "cash_equity": 0.0
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  "constructed_fixture_all_negative_days": [
    {
      "date": "2026-09-09",
      "sleeve_returns": [
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      ]
    },
    {
      "date": "2026-09-18",
      "sleeve_returns": [
        -0.025,
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  "sample_covariance_risk_at_initial_weights": {
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    "portfolio_daily_volatility": 0.007108281300249609,
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  "limitations": [
    "live trading",
    "market-data fetching",
    "strategy signals",
    "execution and rebalance costs",
    "liquidity and slippage estimation",
    "leverage and derivatives",
    "counterparty or stablecoin default",
    "taxes",
    "interest",
    "future probability estimates",
    "annualized Sharpe ratios",
    "portfolio optimization"
  ]
}
