{
  "version": "1.13",
  "top_choices": [
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 60,
      "expiry": "2027-03-19",
      "roll_credit": -730.6899999999998,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 484.28000000000003,
        "net_debit_usd": 730.69,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 683.3220163377537,
      "mean": 4463.352016337753,
      "p10": 4059.540945261178,
      "p90": 4810.745726323624,
      "probability_beating_close": 0.9816666666666667,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 6272.012036800122,
        "option_purchase": -2292.9400204623676,
        "option_sale": 484.28
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2027-03-19",
        "strike": 60,
        "mean": -730.69,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 484.28000000000003
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -30.690000000000055,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 484.28000000000003,
          "net_debit_usd": 730.69,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -230.69000000000005,
        "total_pl_usd": 69.30999999999995,
        "current_cycle_pl_usd": -30.690000000000055
      },
      "net_profit_usd": 2158.3520163377534,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1958.3520163377534,
      "total_pl_usd": 2258.3520163377534,
      "current_cycle_pl_usd": 2158.3520163377534
    },
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 55,
      "expiry": "2026-12-18",
      "roll_credit": -919.56,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 295.40999999999997,
        "net_debit_usd": 919.5600000000001,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 659.8143277344752,
      "mean": 4439.844327734475,
      "p10": 4228.272476692483,
      "p90": 4534.709795025288,
      "probability_beating_close": 0.9833333333333333,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 6272.012036800122,
        "option_purchase": -2127.5777090656466,
        "option_sale": 295.41
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2026-12-18",
        "strike": 55,
        "mean": -919.5600000000001,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 295.40999999999997
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -219.56000000000006,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 295.40999999999997,
          "net_debit_usd": 919.5600000000001,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -419.56000000000006,
        "total_pl_usd": -119.56000000000006,
        "current_cycle_pl_usd": -219.56000000000006
      },
      "net_profit_usd": 2134.844327734475,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1934.844327734475,
      "total_pl_usd": 2234.844327734475,
      "current_cycle_pl_usd": 2134.844327734475
    },
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 52,
      "expiry": "2026-11-20",
      "roll_credit": -978.92,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 236.05,
        "net_debit_usd": 978.9200000000001,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 474.93521040898577,
      "mean": 4254.9652104089855,
      "p10": 4207.890406573108,
      "p90": 4369.205071585504,
      "probability_beating_close": 0.985,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5233.8852104089865,
        "option_purchase": -1214.9700000000003,
        "option_sale": 236.05
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2026-11-20",
        "strike": 52,
        "mean": -978.9200000000001,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 236.05
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -278.9200000000001,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 236.05,
          "net_debit_usd": 978.9200000000001,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -478.9200000000001,
        "total_pl_usd": -178.92000000000007,
        "current_cycle_pl_usd": -278.9200000000001
      },
      "net_profit_usd": 1949.9652104089855,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1749.9652104089855,
      "total_pl_usd": 2049.9652104089855,
      "current_cycle_pl_usd": 1949.9652104089855
    }
  ],
  "profit_reference_available": true,
  "search": {
    "minimum_strike": 50.0,
    "minimum_exclusive": true,
    "maximum_strike": null,
    "first_expiry": "2026-10-29",
    "last_expiry": "2028-01-15"
  },
  "initial_purchase_price_usd": 30,
  "minimum_stock_sale_price_usd": 33.0,
  "constraint": "Rank the three best net profits regardless of profit sign or sale-floor eligibility. Sale-floor flags remain visible; strike/expiry and quote-quality filters remain enforced. Future market prices are not guaranteed.",
  "rows": [
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 60,
      "expiry": "2027-03-19",
      "roll_credit": -730.6899999999998,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 484.28000000000003,
        "net_debit_usd": 730.69,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 683.3220163377537,
      "mean": 4463.352016337753,
      "p10": 4059.540945261178,
      "p90": 4810.745726323624,
      "probability_beating_close": 0.9816666666666667,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 6272.012036800122,
        "option_purchase": -2292.9400204623676,
        "option_sale": 484.28
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2027-03-19",
        "strike": 60,
        "mean": -730.69,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 484.28000000000003
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -30.690000000000055,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 484.28000000000003,
          "net_debit_usd": 730.69,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -230.69000000000005,
        "total_pl_usd": 69.30999999999995,
        "current_cycle_pl_usd": -30.690000000000055
      },
      "net_profit_usd": 2158.3520163377534,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1958.3520163377534,
      "total_pl_usd": 2258.3520163377534,
      "current_cycle_pl_usd": 2158.3520163377534
    },
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 55,
      "expiry": "2026-12-18",
      "roll_credit": -919.56,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 295.40999999999997,
        "net_debit_usd": 919.5600000000001,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 659.8143277344752,
      "mean": 4439.844327734475,
      "p10": 4228.272476692483,
      "p90": 4534.709795025288,
      "probability_beating_close": 0.9833333333333333,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 6272.012036800122,
        "option_purchase": -2127.5777090656466,
        "option_sale": 295.41
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2026-12-18",
        "strike": 55,
        "mean": -919.5600000000001,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 295.40999999999997
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -219.56000000000006,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 295.40999999999997,
          "net_debit_usd": 919.5600000000001,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -419.56000000000006,
        "total_pl_usd": -119.56000000000006,
        "current_cycle_pl_usd": -219.56000000000006
      },
      "net_profit_usd": 2134.844327734475,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1934.844327734475,
      "total_pl_usd": 2234.844327734475,
      "current_cycle_pl_usd": 2134.844327734475
    },
    {
      "strategy": "Roll then close",
      "days": 30,
      "strike": 52,
      "expiry": "2026-11-20",
      "roll_credit": -978.92,
      "roll_funding": {
        "held_buyback_usd": 1214.97,
        "replacement_premium_usd": 236.05,
        "net_debit_usd": 978.9200000000001,
        "net_credit_usd": 0,
        "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
      },
      "improvement": 474.93521040898577,
      "mean": 4254.9652104089855,
      "p10": 4207.890406573108,
      "p90": 4369.205071585504,
      "probability_beating_close": 0.985,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5233.8852104089865,
        "option_purchase": -1214.9700000000003,
        "option_sale": 236.05
      },
      "expire_worthless": {
        "strategy": "Roll then expire worthless",
        "exit_mode": "expire",
        "days": null,
        "expiry": "2026-11-20",
        "strike": 52,
        "mean": -978.9200000000001,
        "cash_flows": {
          "stock_sale": 0,
          "option_purchase": -1214.97,
          "option_sale": 236.05
        },
        "stock_retained": 100,
        "replacement_buyback_usd": 0,
        "held_buyback_usd": 1214.97,
        "option_profit_usd": -278.9200000000001,
        "net_profit_usd": null,
        "roll_funding": {
          "held_buyback_usd": 1214.97,
          "replacement_premium_usd": 236.05,
          "net_debit_usd": 978.9200000000001,
          "net_credit_usd": 0,
          "note": "Estimated net rollover debit before fees, assuming simultaneous legs. Does not measure broker buying power, account cash shortfall or margin requirement."
        },
        "assumption": "Conditional on replacement call expiring worthless with no assignment; stock retained, stock gain/loss excluded.",
        "realized_pl_usd": 300,
        "realized_pl_partial": false,
        "unrealized_pl_usd": -478.9200000000001,
        "total_pl_usd": -178.92000000000007,
        "current_cycle_pl_usd": -278.9200000000001
      },
      "net_profit_usd": 1949.9652104089855,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1749.9652104089855,
      "total_pl_usd": 2049.9652104089855,
      "current_cycle_pl_usd": 1949.9652104089855
    },
    {
      "strategy": "Wait then close",
      "days": 30,
      "improvement": 158.2832074222847,
      "mean": 3938.3132074222844,
      "p10": 3917.775433211829,
      "p90": 3950.2061788078686,
      "probability_beating_close": 0.9966666666666667,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 6272.012036800122,
        "option_purchase": -2333.6988293778363,
        "option_sale": 0.0
      },
      "net_profit_usd": 1633.313207422285,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1433.313207422285,
      "total_pl_usd": 1733.313207422285,
      "current_cycle_pl_usd": 1633.313207422285
    },
    {
      "strategy": "Wait then close",
      "days": 21,
      "improvement": 135.39570919752168,
      "mean": 3915.4257091975214,
      "p10": 3872.446684743154,
      "p90": 3944.2700229749807,
      "probability_beating_close": 0.9916666666666667,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5860.4520520283095,
        "option_purchase": -1945.0263428307876,
        "option_sale": 0.0
      },
      "net_profit_usd": 1610.4257091975214,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1410.4257091975214,
      "total_pl_usd": 1710.4257091975214,
      "current_cycle_pl_usd": 1610.4257091975214
    },
    {
      "strategy": "Wait then close",
      "days": 10,
      "improvement": 79.46370457878038,
      "mean": 3859.49370457878,
      "p10": 3801.3192937040776,
      "p90": 3907.470275399532,
      "probability_beating_close": 0.9333333333333333,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5392.535294539811,
        "option_purchase": -1533.0415899610307,
        "option_sale": 0.0
      },
      "net_profit_usd": 1554.4937045787801,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1354.4937045787801,
      "total_pl_usd": 1654.4937045787801,
      "current_cycle_pl_usd": 1554.4937045787801
    },
    {
      "strategy": "Wait then close",
      "days": 5,
      "improvement": 44.69279602985398,
      "mean": 3824.7227960298537,
      "p10": 3773.1425880905877,
      "p90": 3867.1060640350393,
      "probability_beating_close": 0.8783333333333333,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5197.018757116924,
        "option_purchase": -1372.2959610870694,
        "option_sale": 0.0
      },
      "net_profit_usd": 1519.7227960298533,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1319.7227960298533,
      "total_pl_usd": 1619.7227960298533,
      "current_cycle_pl_usd": 1519.7227960298533
    },
    {
      "strategy": "Wait then close",
      "days": 1,
      "improvement": 8.622508700056187,
      "mean": 3788.652508700056,
      "p10": 3750.223709327598,
      "p90": 3816.422268528465,
      "probability_beating_close": 0.64,
      "sale_floor_pass_rate": 1.0,
      "eligible": true,
      "cash_flows": {
        "stock_sale": 5030.032617265043,
        "option_purchase": -1241.3801085649868,
        "option_sale": 0.0
      },
      "net_profit_usd": 1483.6525087000555,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1283.6525087000555,
      "total_pl_usd": 1583.6525087000555,
      "current_cycle_pl_usd": 1483.6525087000555
    },
    {
      "strategy": "Close now",
      "days": 0,
      "mean": 3780.0299999999997,
      "p10": 3780.0299999999997,
      "p90": 3780.0299999999997,
      "probability_beating_close": 0,
      "improvement": 0,
      "cash_flows": {
        "stock_sale": 4995.0,
        "option_purchase": -1214.97,
        "option_sale": 0
      },
      "eligible": true,
      "sale_floor_pass_rate": 1.0,
      "net_profit_usd": 1475.0299999999997,
      "realized_pl_usd": 300,
      "realized_pl_partial": false,
      "unrealized_pl_usd": 1275.0299999999997,
      "total_pl_usd": 1575.0299999999997,
      "current_cycle_pl_usd": 1475.0299999999997
    }
  ],
  "baseline": 3780.0299999999997,
  "excluded": 2,
  "paths": 600,
  "seed": 42,
  "history_count": 64,
  "history_start": "2026-07-30",
  "history_end": "2026-10-27",
  "realized_volatility": 0.36974672706449635,
  "held_implied_volatility": 0.6499977304752103,
  "objective": "Highest simulated mean discounted USD liquidation wealth; not a validated profit forecast",
  "assumptions": [
    "Three-month daily-return bootstrap; historical drift retained",
    "Constant calibrated volatility; European call approximation; no dividends or early assignment",
    "Today's spreads held constant; future execution fees excluded; recorded historical fees included; no taxes; USD retained",
    "Rollover credit is cash received, not profit; remaining option liability is deducted at the common horizon",
    "No historical option-chain backtest; probabilities describe model paths only"
  ]
}