{"timestamp": "2026-11-09 23:07:56", "data": {"options": [{"option": "AMR261120C00070000", "bid": 82.6, "bid_size": 12.0, "ask": 89.6, "ask_size": 12.0, "iv": 2.5653, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0035, "rho": 0.0, "theo": 85.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 80.4500007629394}, {"option": "AMR261120P00070000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 15.0, "iv": 3.4077, "open_interest": 0.0, "volume": 0.0, "delta": -0.0001, "gamma": 0.0, "vega": 0.0001, "theta": -0.0006, "rho": 0.0, "theo": 0.0011, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120C00075000", "bid": 77.6, "bid_size": 7.0, "ask": 84.7, "ask_size": 7.0, "iv": 2.3976, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0035, "rho": 0.0, "theo": 80.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 75.7000007629394}, {"option": "AMR261120P00075000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 3.1544, "open_interest": 4.0, "volume": 0.0, "delta": -0.0002, "gamma": 0.0, "vega": 0.0002, "theta": -0.001, "rho": 0.0, "theo": 0.002, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.0, "last_trade_time": "2026-07-31T15:35:57", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120C00080000", "bid": 72.7, "bid_size": 8.0, "ask": 80.2, "ask_size": 11.0, "iv": 2.3704, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0035, "rho": 0.0, "theo": 75.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 116.32, "last_trade_time": "2026-04-20T14:30:30", "percent_change": 0.0, "prev_day_close": 70.1500015258789}, {"option": "AMR261120P00080000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 28.0, "iv": 2.9178, "open_interest": 12.0, "volume": 0.0, "delta": -0.0004, "gamma": 0.0, "vega": 0.0004, "theta": -0.0017, "rho": 0.0, "theo": 0.0035, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.26, "last_trade_time": "2026-08-25T15:42:02", "percent_change": 0.0, "prev_day_close": 0.449999988079071}, {"option": "AMR261120C00085000", "bid": 67.7, "bid_size": 12.0, "ask": 75.1, "ask_size": 11.0, "iv": 2.1577, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0035, "rho": 0.0, "theo": 70.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 65.3500003814697}, {"option": "AMR261120P00085000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 1.0, "iv": 1.3799, "open_interest": 3.0, "volume": 0.0, "delta": -0.0008, "gamma": 0.0001, "vega": 0.0007, "theta": -0.0028, "rho": 0.0, "theo": 0.0061, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-10-14T14:53:58", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "AMR261120C00090000", "bid": 62.7, "bid_size": 12.0, "ask": 69.7, "ask_size": 12.0, "iv": 1.8856, "open_interest": 1.0, "volume": 0.0, "delta": 0.9999, "gamma": 0.0, "vega": 0.0, "theta": -0.0035, "rho": 0.0, "theo": 65.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 81.5, "last_trade_time": "2026-03-02T12:18:33", "percent_change": 0.0, "prev_day_close": 60.9500007629394}, {"option": "AMR261120P00090000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.4855, "open_interest": 2.0, "volume": 0.0, "delta": -0.0013, "gamma": 0.0001, "vega": 0.0011, "theta": -0.0045, "rho": -0.0001, "theo": 0.0104, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.42, "last_trade_time": "2026-07-16T15:04:51", "percent_change": 0.0, "prev_day_close": 0.449999988079071}, {"option": "AMR261120C00095000", "bid": 57.7, "bid_size": 12.0, "ask": 63.8, "ask_size": 11.0, "iv": 1.4479, "open_interest": 0.0, "volume": 0.0, "delta": 0.9995, "gamma": 0.0002, "vega": 0.0003, "theta": -0.004, "rho": 0.0008, "theo": 60.5306, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 56.0499992370606}, {"option": "AMR261120P00095000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.2862, "open_interest": 82.0, "volume": 0.0, "delta": -0.0022, "gamma": 0.0002, "vega": 0.0019, "theta": -0.0071, "rho": -0.0001, "theo": 0.0177, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 2.4, "last_trade_time": "2026-06-24T11:53:59", "percent_change": 0.0, "prev_day_close": 0.349999994039536}, {"option": "AMR261120C00100000", "bid": 53.6, "bid_size": 15.0, "ask": 58.6, "ask_size": 8.0, "iv": 1.523, "open_interest": 526.0, "volume": 0.0, "delta": 0.9982, "gamma": 0.0004, "vega": 0.0014, "theta": -0.0065, "rho": 0.0035, "theo": 55.5342, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 119.65, "last_trade_time": "2026-09-10T12:55:05", "percent_change": 0.0, "prev_day_close": 51.2000007629394}, {"option": "AMR261120P00100000", "bid": 0.0, "bid_size": 0.0, "ask": 1.7, "ask_size": 52.0, "iv": 1.6133, "open_interest": 12.0, "volume": 0.0, "delta": -0.0037, "gamma": 0.0004, "vega": 0.003, "theta": -0.0112, "rho": -0.0002, "theo": 0.0301, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.15, "last_trade_time": "2026-11-06T11:16:23", "percent_change": 0.0, "prev_day_close": 0.25}, {"option": "AMR261120C00105000", "bid": 47.7, "bid_size": 11.0, "ask": 53.6, "ask_size": 1.0, "iv": 1.0972, "open_interest": 0.0, "volume": 0.0, "delta": 0.9954, "gamma": 0.0008, "vega": 0.0034, "theta": -0.0129, "rho": 0.0074, "theo": 50.5465, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 46.1000003814697}, {"option": "AMR261120P00105000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 4.0, "iv": 1.914, "open_interest": 15.0, "volume": 0.0, "delta": -0.0063, "gamma": 0.0007, "vega": 0.0048, "theta": -0.0173, "rho": -0.0004, "theo": 0.0509, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-11-05T11:07:02", "percent_change": 0.0, "prev_day_close": 0.275000005960464}, {"option": "AMR261120C00110000", "bid": 42.7, "bid_size": 12.0, "ask": 49.3, "ask_size": 12.0, "iv": 1.1962, "open_interest": 3.0, "volume": 0.0, "delta": 0.9909, "gamma": 0.0012, "vega": 0.0063, "theta": -0.0234, "rho": 0.0112, "theo": 45.5747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 63.0, "last_trade_time": "2026-08-18T15:58:48", "percent_change": 0.0, "prev_day_close": 40.9500007629394}, {"option": "AMR261120P00110000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 13.0, "iv": 1.7387, "open_interest": 36.0, "volume": 0.0, "delta": -0.0104, "gamma": 0.0011, "vega": 0.0075, "theta": -0.0266, "rho": -0.0006, "theo": 0.0858, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.22, "last_trade_time": "2026-11-05T09:30:09", "percent_change": 0.0, "prev_day_close": 0.349999994039536}, {"option": "AMR261120C00115000", "bid": 37.8, "bid_size": 8.0, "ask": 43.8, "ask_size": 11.0, "iv": 0.9701, "open_interest": 0.0, "volume": 0.0, "delta": 0.9837, "gamma": 0.0019, "vega": 0.0105, "theta": -0.0377, "rho": 0.0149, "theo": 40.628, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.0499992370606}, {"option": "AMR261120P00115000", "bid": 0.0, "bid_size": 0.0, "ask": 1.5, "ask_size": 1.0, "iv": 0.9259, "open_interest": 71.0, "volume": 0.0, "delta": -0.0173, "gamma": 0.0018, "vega": 0.0115, "theta": -0.0401, "rho": -0.001, "theo": 0.1442, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.8, "last_trade_time": "2026-11-05T14:29:10", "percent_change": 0.0, "prev_day_close": 0.625}, {"option": "AMR261120C00120000", "bid": 32.8, "bid_size": 8.0, "ask": 39.0, "ask_size": 10.0, "iv": 0.8987, "open_interest": 414.0, "volume": 0.0, "delta": 0.9724, "gamma": 0.003, "vega": 0.0167, "theta": -0.0573, "rho": 0.0187, "theo": 35.7215, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 43.61, "last_trade_time": "2026-10-26T10:08:15", "percent_change": 0.0, "prev_day_close": 31.5500001907349}, {"option": "AMR261120P00120000", "bid": 0.05, "bid_size": 1.0, "ask": 0.75, "ask_size": 14.0, "iv": 0.8875, "open_interest": 40.0, "volume": 0.0, "delta": -0.0283, "gamma": 0.003, "vega": 0.0175, "theta": -0.0594, "rho": -0.0016, "theo": 0.2418, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.0, "last_trade_time": "2026-11-05T10:47:02", "percent_change": 0.0, "prev_day_close": 0.6999999769032}, {"option": "AMR261120C00125000", "bid": 27.9, "bid_size": 11.0, "ask": 33.8, "ask_size": 16.0, "iv": 0.7593, "open_interest": 0.0, "volume": 0.0, "delta": 0.9545, "gamma": 0.0047, "vega": 0.0256, "theta": -0.0842, "rho": 0.0231, "theo": 30.881, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 91.11, "last_trade_time": "2026-04-02T13:18:24", "percent_change": 0.0, "prev_day_close": 27.0500001907349}, {"option": "AMR261120P00125000", "bid": 0.2, "bid_size": 5.0, "ask": 1.7, "ask_size": 21.0, "iv": 0.9392, "open_interest": 136.0, "volume": 0.0, "delta": -0.0458, "gamma": 0.0046, "vega": 0.026, "theta": -0.086, "rho": -0.0026, "theo": 0.4038, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.6, "last_trade_time": "2026-11-05T10:47:21", "percent_change": 0.0, "prev_day_close": 0.924999997019768}, {"option": "AMR261120C00130000", "bid": 23.1, "bid_size": 15.0, "ask": 28.7, "ask_size": 11.0, "iv": 0.6629, "open_interest": 0.0, "volume": 0.0, "delta": 0.9269, "gamma": 0.007, "vega": 0.0371, "theta": -0.1195, "rho": 0.0254, "theo": 26.147, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.25}, {"option": "AMR261120P00130000", "bid": 0.15, "bid_size": 1.0, "ask": 1.05, "ask_size": 29.0, "iv": 0.7186, "open_interest": 110.0, "volume": 13.0, "delta": -0.073, "gamma": 0.0069, "vega": 0.0376, "theta": -0.1212, "rho": -0.0042, "theo": 0.6706, "change": -0.78, "open": 0.73, "high": 1.16, "low": 0.69, "tick": "down", "last_trade_price": 0.87, "last_trade_time": "2026-11-09T14:49:48", "percent_change": -47.2727, "prev_day_close": 1.65000003576279}, {"option": "AMR261120C00135000", "bid": 18.4, "bid_size": 11.0, "ask": 24.4, "ask_size": 21.0, "iv": 0.6713, "open_interest": 0.0, "volume": 0.0, "delta": 0.8856, "gamma": 0.0101, "vega": 0.052, "theta": -0.1632, "rho": 0.0274, "theo": 21.5805, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.96, "last_trade_time": "2026-07-31T13:12:30", "percent_change": 0.0, "prev_day_close": 18.2000002861023}, {"option": "AMR261120P00135000", "bid": 0.5, "bid_size": 11.0, "ask": 1.25, "ask_size": 23.0, "iv": 0.6613, "open_interest": 64.0, "volume": 5.0, "delta": -0.114, "gamma": 0.01, "vega": 0.0522, "theta": -0.1647, "rho": -0.0066, "theo": 1.104, "change": -0.625, "open": 1.35, "high": 1.35, "low": 1.35, "tick": "down", "last_trade_price": 1.35, "last_trade_time": "2026-11-09T10:58:47", "percent_change": -31.6456, "prev_day_close": 1.97500002384186}, {"option": "AMR261120C00140000", "bid": 14.0, "bid_size": 16.0, "ask": 20.2, "ask_size": 22.0, "iv": 0.6559, "open_interest": 0.0, "volume": 0.0, "delta": 0.8263, "gamma": 0.0139, "vega": 0.0691, "theta": -0.2125, "rho": 0.0284, "theo": 17.2702, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.72, "last_trade_time": "2026-07-31T13:12:30", "percent_change": 0.0, "prev_day_close": 13.0}, {"option": "AMR261120P00140000", "bid": 1.0, "bid_size": 15.0, "ask": 2.1, "ask_size": 27.0, "iv": 0.6451, "open_interest": 239.0, "volume": 4.0, "delta": -0.1731, "gamma": 0.0138, "vega": 0.0693, "theta": -0.2136, "rho": -0.01, "theo": 1.7923, "change": -1.3, "open": 2.4, "high": 2.4, "low": 2.0, "tick": "down", "last_trade_price": 2.0, "last_trade_time": "2026-11-09T13:33:21", "percent_change": -39.3939, "prev_day_close": 3.29999995231628}, {"option": "AMR261120C00145000", "bid": 12.0, "bid_size": 18.0, "ask": 17.6, "ask_size": 16.0, "iv": 0.8235, "open_interest": 11.0, "volume": 0.0, "delta": 0.7462, "gamma": 0.0179, "vega": 0.0864, "theta": -0.2608, "rho": 0.0277, "theo": 13.3303, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.0, "last_trade_time": "2026-11-05T11:10:10", "percent_change": 0.0, "prev_day_close": 9.69999980926514}, {"option": "AMR261120P00145000", "bid": 1.85, "bid_size": 10.0, "ask": 3.4, "ask_size": 25.0, "iv": 0.6328, "open_interest": 122.0, "volume": 2.0, "delta": -0.253, "gamma": 0.0179, "vega": 0.0864, "theta": -0.2614, "rho": -0.0147, "theo": 2.8502, "change": -2.12, "open": 3.08, "high": 3.08, "low": 2.68, "tick": "down", "last_trade_price": 2.68, "last_trade_time": "2026-11-09T15:46:18", "percent_change": -44.1667, "prev_day_close": 4.79999995231628}, {"option": "AMR261120C00150000", "bid": 9.0, "bid_size": 29.0, "ask": 11.6, "ask_size": 22.0, "iv": 0.6838, "open_interest": 22.0, "volume": 0.0, "delta": 0.6462, "gamma": 0.0213, "vega": 0.1003, "theta": -0.2981, "rho": 0.0255, "theo": 9.8866, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.7, "last_trade_time": "2026-11-06T10:09:18", "percent_change": 0.0, "prev_day_close": 7.05000019073486}, {"option": "AMR261120P00150000", "bid": 3.2, "bid_size": 9.0, "ask": 4.8, "ask_size": 25.0, "iv": 0.6024, "open_interest": 222.0, "volume": 15.0, "delta": -0.3528, "gamma": 0.0213, "vega": 0.1004, "theta": -0.2981, "rho": -0.0205, "theo": 4.4031, "change": -3.2, "open": 4.93, "high": 5.4, "low": 4.0, "tick": "down", "last_trade_price": 4.0, "last_trade_time": "2026-11-09T15:52:07", "percent_change": -44.4444, "prev_day_close": 7.20000004768372}, {"option": "AMR261120C00155000", "bid": 6.6, "bid_size": 3.0, "ask": 8.5, "ask_size": 16.0, "iv": 0.6796, "open_interest": 12.0, "volume": 0.0, "delta": 0.533, "gamma": 0.0232, "vega": 0.1073, "theta": -0.3148, "rho": 0.0226, "theo": 7.0423, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.5, "last_trade_time": "2026-11-06T13:46:16", "percent_change": 0.0, "prev_day_close": 5.0}, {"option": "AMR261120P00155000", "bid": 5.5, "bid_size": 8.0, "ask": 7.2, "ask_size": 23.0, "iv": 0.6132, "open_interest": 340.0, "volume": 2.0, "delta": -0.4657, "gamma": 0.0231, "vega": 0.1073, "theta": -0.3144, "rho": -0.0269, "theo": 6.5544, "change": -4.15, "open": 7.04, "high": 7.04, "low": 6.0, "tick": "down", "last_trade_price": 6.0, "last_trade_time": "2026-11-09T15:33:38", "percent_change": -40.8867, "prev_day_close": 10.1500000953674}, {"option": "AMR261120C00160000", "bid": 4.1, "bid_size": 9.0, "ask": 5.9, "ask_size": 22.0, "iv": 0.6434, "open_interest": 137.0, "volume": 4.0, "delta": 0.4184, "gamma": 0.0229, "vega": 0.1054, "theta": -0.3068, "rho": 0.0186, "theo": 4.8388, "change": 1.25, "open": 4.5, "high": 4.7, "low": 4.0, "tick": "up", "last_trade_price": 4.7, "last_trade_time": "2026-11-09T15:25:53", "percent_change": 36.2319, "prev_day_close": 3.44999992847443}, {"option": "AMR261120P00160000", "bid": 7.7, "bid_size": 10.0, "ask": 9.9, "ask_size": 24.0, "iv": 0.5761, "open_interest": 138.0, "volume": 0.0, "delta": -0.5802, "gamma": 0.0229, "vega": 0.1054, "theta": -0.3059, "rho": -0.0333, "theo": 9.3458, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.93, "last_trade_time": "2026-11-06T15:02:31", "percent_change": 0.0, "prev_day_close": 13.6500000953674}, {"option": "AMR261120C00165000", "bid": 2.4, "bid_size": 9.0, "ask": 4.2, "ask_size": 21.0, "iv": 0.6364, "open_interest": 86.0, "volume": 2.0, "delta": 0.314, "gamma": 0.0207, "vega": 0.0958, "theta": -0.2776, "rho": 0.0142, "theo": 3.236, "change": 0.125, "open": 2.5, "high": 2.5, "low": 2.5, "tick": "down", "last_trade_price": 2.5, "last_trade_time": "2026-11-09T12:40:14", "percent_change": 5.26316, "prev_day_close": 2.375}, {"option": "AMR261120P00165000", "bid": 10.4, "bid_size": 26.0, "ask": 14.1, "ask_size": 32.0, "iv": 0.5782, "open_interest": 232.0, "volume": 1.0, "delta": -0.6845, "gamma": 0.0207, "vega": 0.0958, "theta": -0.2763, "rho": -0.0387, "theo": 12.737, "change": -0.49, "open": 16.86, "high": 16.86, "low": 16.86, "tick": "down", "last_trade_price": 16.86, "last_trade_time": "2026-11-09T09:32:05", "percent_change": -2.82421, "prev_day_close": 17.3500003814697}, {"option": "AMR261120C00170000", "bid": 1.5, "bid_size": 11.0, "ask": 3.6, "ask_size": 13.0, "iv": 0.687, "open_interest": 63.0, "volume": 1.0, "delta": 0.2277, "gamma": 0.0175, "vega": 0.0816, "theta": -0.2363, "rho": 0.0107, "theo": 2.1305, "change": 0.15, "open": 1.8, "high": 1.8, "low": 1.8, "tick": "up", "last_trade_price": 1.8, "last_trade_time": "2026-11-09T15:12:21", "percent_change": 9.09091, "prev_day_close": 1.64999997615814}, {"option": "AMR261120P00170000", "bid": 14.3, "bid_size": 14.0, "ask": 17.4, "ask_size": 17.0, "iv": 0.5351, "open_interest": 50.0, "volume": 2.0, "delta": -0.7708, "gamma": 0.0174, "vega": 0.0816, "theta": -0.2346, "rho": -0.0423, "theo": 16.6253, "change": -5.53, "open": 17.37, "high": 17.37, "low": 16.07, "tick": "down", "last_trade_price": 16.07, "last_trade_time": "2026-11-09T15:33:47", "percent_change": -25.6019, "prev_day_close": 21.5999994277954}, {"option": "AMR261120C00175000", "bid": 0.55, "bid_size": 10.0, "ask": 2.4, "ask_size": 16.0, "iv": 0.6592, "open_interest": 195.0, "volume": 0.0, "delta": 0.1615, "gamma": 0.0139, "vega": 0.0662, "theta": -0.1922, "rho": 0.0077, "theo": 1.3963, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.5, "last_trade_time": "2026-11-04T14:55:11", "percent_change": 0.0, "prev_day_close": 1.125}, {"option": "AMR261120P00175000", "bid": 17.3, "bid_size": 18.0, "ask": 22.7, "ask_size": 17.0, "iv": 0.487, "open_interest": 147.0, "volume": 0.0, "delta": -0.837, "gamma": 0.0139, "vega": 0.0663, "theta": -0.19, "rho": -0.0445, "theo": 20.8847, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.0, "last_trade_time": "2026-11-05T11:21:22", "percent_change": 0.0, "prev_day_close": 25.6499996185303}, {"option": "AMR261120C00180000", "bid": 0.35, "bid_size": 19.0, "ask": 1.8, "ask_size": 34.0, "iv": 0.6905, "open_interest": 200.0, "volume": 1.0, "delta": 0.1132, "gamma": 0.0107, "vega": 0.052, "theta": -0.1516, "rho": 0.0054, "theo": 0.919, "change": -1.195, "open": 0.83, "high": 0.83, "low": 0.83, "tick": "down", "last_trade_price": 0.83, "last_trade_time": "2026-11-09T15:52:07", "percent_change": -59.0123, "prev_day_close": 2.02499997615814}, {"option": "AMR261120P00180000", "bid": 22.5, "bid_size": 18.0, "ask": 27.7, "ask_size": 32.0, "iv": 0.5973, "open_interest": 25.0, "volume": 1.0, "delta": -0.8853, "gamma": 0.0107, "vega": 0.052, "theta": -0.149, "rho": -0.0451, "theo": 25.4013, "change": -0.94, "open": 28.71, "high": 28.71, "low": 28.71, "tick": "down", "last_trade_price": 28.71, "last_trade_time": "2026-11-09T09:36:51", "percent_change": -3.17032, "prev_day_close": 29.6500005722046}, {"option": "AMR261120C00185000", "bid": 0.0, "bid_size": 0.0, "ask": 1.2, "ask_size": 29.0, "iv": 0.6742, "open_interest": 61.0, "volume": 4.0, "delta": 0.0792, "gamma": 0.008, "vega": 0.04, "theta": -0.1173, "rho": 0.0038, "theo": 0.6112, "change": -0.7, "open": 0.5, "high": 0.5, "low": 0.4, "tick": "down", "last_trade_price": 0.4, "last_trade_time": "2026-11-09T15:36:14", "percent_change": -63.6364, "prev_day_close": 1.09999997913837}, {"option": "AMR261120P00185000", "bid": 26.3, "bid_size": 19.0, "ask": 32.4, "ask_size": 23.0, "iv": 0.0, "open_interest": 12.0, "volume": 0.0, "delta": -0.9194, "gamma": 0.008, "vega": 0.04, "theta": -0.1144, "rho": -0.044, "theo": 30.0879, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.7, "last_trade_time": "2026-10-27T11:25:07", "percent_change": 0.0, "prev_day_close": 34.6500005722046}, {"option": "AMR261120C00190000", "bid": 0.05, "bid_size": 4.0, "ask": 0.9, "ask_size": 23.0, "iv": 0.7147, "open_interest": 71.0, "volume": 2.0, "delta": 0.0557, "gamma": 0.0059, "vega": 0.0304, "theta": -0.09, "rho": 0.0027, "theo": 0.4123, "change": -0.175, "open": 0.4, "high": 0.4, "low": 0.4, "tick": "no_change", "last_trade_price": 0.4, "last_trade_time": "2026-11-09T15:37:18", "percent_change": -30.4348, "prev_day_close": 0.575000002980232}, {"option": "AMR261120P00190000", "bid": 32.1, "bid_size": 20.0, "ask": 37.9, "ask_size": 20.0, "iv": 0.7308, "open_interest": 19.0, "volume": 1.0, "delta": -0.9432, "gamma": 0.006, "vega": 0.0304, "theta": -0.0866, "rho": -0.0422, "theo": 34.8839, "change": -1.3, "open": 38.2, "high": 38.2, "low": 38.2, "tick": "down", "last_trade_price": 38.2, "last_trade_time": "2026-11-09T10:01:29", "percent_change": -3.29114, "prev_day_close": 39.5}, {"option": "AMR261120C00195000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 25.0, "iv": 1.1856, "open_interest": 69.0, "volume": 0.0, "delta": 0.0394, "gamma": 0.0044, "vega": 0.0231, "theta": -0.0688, "rho": 0.0019, "theo": 0.2826, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.4, "last_trade_time": "2026-11-05T13:45:18", "percent_change": 0.0, "prev_day_close": 0.850000023841858}, {"option": "AMR261120P00195000", "bid": 36.0, "bid_size": 7.0, "ask": 42.6, "ask_size": 12.0, "iv": 0.0, "open_interest": 13.0, "volume": 0.0, "delta": -0.9596, "gamma": 0.0044, "vega": 0.023, "theta": -0.0651, "rho": -0.0397, "theo": 39.7497, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 48.12, "last_trade_time": "2026-11-05T11:56:06", "percent_change": 0.0, "prev_day_close": 44.2999992370606}, {"option": "AMR261120C00200000", "bid": 0.1, "bid_size": 5.0, "ask": 0.6, "ask_size": 31.0, "iv": 0.806, "open_interest": 46.0, "volume": 2.0, "delta": 0.0282, "gamma": 0.0032, "vega": 0.0175, "theta": -0.0526, "rho": 0.0014, "theo": 0.197, "change": -0.6, "open": 0.2, "high": 0.2, "low": 0.2, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-11-09T09:51:23", "percent_change": -75.0, "prev_day_close": 0.800000011920929}, {"option": "AMR261120P00200000", "bid": 42.0, "bid_size": 11.0, "ask": 47.7, "ask_size": 22.0, "iv": 0.821, "open_interest": 11.0, "volume": 0.0, "delta": -0.971, "gamma": 0.0033, "vega": 0.0175, "theta": -0.0486, "rho": -0.0367, "theo": 44.6602, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 54.04, "last_trade_time": "2026-11-04T10:34:29", "percent_change": 0.0, "prev_day_close": 49.5}, {"option": "AMR261120C00210000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 52.0, "iv": 1.4303, "open_interest": 124.0, "volume": 0.0, "delta": 0.0149, "gamma": 0.0018, "vega": 0.0102, "theta": -0.0312, "rho": 0.0007, "theo": 0.1005, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-11-04T15:47:40", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00210000", "bid": 51.2, "bid_size": 20.0, "ask": 57.7, "ask_size": 25.0, "iv": 0.0, "open_interest": 13.0, "volume": 0.0, "delta": -0.9847, "gamma": 0.0019, "vega": 0.01, "theta": -0.0265, "rho": -0.0317, "theo": 54.5583, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 44.0, "last_trade_time": "2026-10-01T12:59:54", "percent_change": 0.0, "prev_day_close": 59.3999996185303}, {"option": "AMR261120C00220000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 21.0, "iv": 1.577, "open_interest": 222.0, "volume": 0.0, "delta": 0.0083, "gamma": 0.001, "vega": 0.0061, "theta": -0.019, "rho": 0.0004, "theo": 0.0545, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.59, "last_trade_time": "2026-10-21T09:50:08", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00220000", "bid": 61.7, "bid_size": 12.0, "ask": 67.5, "ask_size": 12.0, "iv": 0.9166, "open_interest": 5.0, "volume": 0.0, "delta": -0.9918, "gamma": 0.0011, "vega": 0.0057, "theta": -0.0135, "rho": -0.0231, "theo": 64.5093, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 62.76, "last_trade_time": "2026-11-03T09:53:08", "percent_change": 0.0, "prev_day_close": 69.5999984741211}, {"option": "AMR261120C00230000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 1.0, "iv": 1.0913, "open_interest": 70.0, "volume": 0.0, "delta": 0.0048, "gamma": 0.0006, "vega": 0.0038, "theta": -0.012, "rho": 0.0002, "theo": 0.0312, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.25, "last_trade_time": "2026-11-04T12:30:08", "percent_change": 0.0, "prev_day_close": 0.25}, {"option": "AMR261120P00230000", "bid": 71.5, "bid_size": 11.0, "ask": 77.5, "ask_size": 12.0, "iv": 0.8847, "open_interest": 0.0, "volume": 0.0, "delta": -0.9958, "gamma": 0.0007, "vega": 0.003, "theta": -0.0052, "rho": -0.0157, "theo": 74.4854, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 87.32, "last_trade_time": "2026-11-05T13:19:36", "percent_change": 0.0, "prev_day_close": 79.1499977111816}, {"option": "AMR261120C00240000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 26.0, "iv": 1.84, "open_interest": 32.0, "volume": 0.0, "delta": 0.0029, "gamma": 0.0004, "vega": 0.0024, "theta": -0.0077, "rho": 0.0001, "theo": 0.0187, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-10-30T10:00:23", "percent_change": 0.0, "prev_day_close": 1.75}, {"option": "AMR261120P00240000", "bid": 81.5, "bid_size": 12.0, "ask": 87.5, "ask_size": 12.0, "iv": 0.9763, "open_interest": 3.0, "volume": 0.0, "delta": -0.9981, "gamma": 0.0004, "vega": 0.0013, "theta": 0.0, "rho": -0.0078, "theo": 84.4747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 74.9, "last_trade_time": "2026-10-01T11:01:27", "percent_change": 0.0, "prev_day_close": 89.5}, {"option": "AMR261120C00250000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 30.0, "iv": 1.9592, "open_interest": 43.0, "volume": 0.0, "delta": 0.0018, "gamma": 0.0002, "vega": 0.0016, "theta": -0.0052, "rho": 0.0001, "theo": 0.0117, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.3, "last_trade_time": "2026-11-05T10:29:57", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00250000", "bid": 91.1, "bid_size": 7.0, "ask": 97.5, "ask_size": 12.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9993, "gamma": 0.0002, "vega": 0.0003, "theta": 0.0, "rho": -0.0019, "theo": 94.4709, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 96.8, "last_trade_time": "2026-08-12T12:37:01", "percent_change": 0.0, "prev_day_close": 99.4499969482422}, {"option": "AMR261120C00260000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.0716, "open_interest": 19.0, "volume": 0.0, "delta": 0.0012, "gamma": 0.0001, "vega": 0.0011, "theta": -0.0035, "rho": 0.0001, "theo": 0.0076, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-11-04T15:32:56", "percent_change": 0.0, "prev_day_close": 0.675000011920929}, {"option": "AMR261120P00260000", "bid": 100.9, "bid_size": 11.0, "ask": 107.5, "ask_size": 12.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9998, "gamma": 0.0001, "vega": 0.0001, "theta": 0.0, "rho": 0.0, "theo": 104.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 115.5, "last_trade_time": "2026-07-21T11:41:07", "percent_change": 0.0, "prev_day_close": 109.549999237061}, {"option": "AMR261120C00270000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.1778, "open_interest": 10.0, "volume": 0.0, "delta": 0.0008, "gamma": 0.0001, "vega": 0.0007, "theta": -0.0025, "rho": 0.0, "theo": 0.0051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.0, "last_trade_time": "2026-09-15T11:06:41", "percent_change": 0.0, "prev_day_close": 0.574999988079071}, {"option": "AMR261120P00270000", "bid": 111.6, "bid_size": 5.0, "ask": 117.5, "ask_size": 12.0, "iv": 1.32, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 114.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 107.87, "last_trade_time": "2026-06-24T09:36:14", "percent_change": 0.0, "prev_day_close": 119.599998474121}, {"option": "AMR261120C00280000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 27.0, "iv": 2.2786, "open_interest": 26.0, "volume": 0.0, "delta": 0.0006, "gamma": 0.0001, "vega": 0.0005, "theta": -0.0018, "rho": 0.0, "theo": 0.0035, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-11-02T13:04:38", "percent_change": 0.0, "prev_day_close": 0.875}, {"option": "AMR261120P00280000", "bid": 120.9, "bid_size": 11.0, "ask": 127.5, "ask_size": 12.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 124.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 129.449996948242}, {"option": "AMR261120C00290000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.3744, "open_interest": 10.0, "volume": 0.0, "delta": 0.0004, "gamma": 0.0, "vega": 0.0004, "theta": -0.0013, "rho": 0.0, "theo": 0.0025, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.9, "last_trade_time": "2026-09-03T12:38:54", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00290000", "bid": 131.7, "bid_size": 3.0, "ask": 137.5, "ask_size": 11.0, "iv": 1.5405, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 134.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 139.5}, {"option": "AMR261120C00300000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 27.0, "iv": 2.4658, "open_interest": 19.0, "volume": 0.0, "delta": 0.0003, "gamma": 0.0, "vega": 0.0003, "theta": -0.001, "rho": 0.0, "theo": 0.0018, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.24, "last_trade_time": "2026-10-30T14:05:25", "percent_change": 0.0, "prev_day_close": 1.29999995231628}, {"option": "AMR261120P00300000", "bid": 141.5, "bid_size": 11.0, "ask": 147.5, "ask_size": 7.0, "iv": 1.447, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 144.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 149.5}, {"option": "AMR261120C00310000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 24.0, "iv": 2.5531, "open_interest": 10.0, "volume": 0.0, "delta": 0.0002, "gamma": 0.0, "vega": 0.0002, "theta": -0.0007, "rho": 0.0, "theo": 0.0013, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.2, "last_trade_time": "2026-09-15T09:30:02", "percent_change": 0.0, "prev_day_close": 0.75}, {"option": "AMR261120P00310000", "bid": 151.2, "bid_size": 11.0, "ask": 157.5, "ask_size": 12.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 154.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 159.449996948242}, {"option": "AMR261120C00320000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.6368, "open_interest": 125.0, "volume": 0.0, "delta": 0.0001, "gamma": 0.0, "vega": 0.0002, "theta": -0.0006, "rho": 0.0, "theo": 0.001, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.38, "last_trade_time": "2026-09-16T10:08:30", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00320000", "bid": 161.6, "bid_size": 7.0, "ask": 167.5, "ask_size": 12.0, "iv": 1.6868, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 164.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 169.400001525879}, {"option": "AMR261120C00330000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 2.717, "open_interest": 20.0, "volume": 0.0, "delta": 0.0001, "gamma": 0.0, "vega": 0.0001, "theta": -0.0004, "rho": 0.0, "theo": 0.0007, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-10-19T12:09:34", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261120P00330000", "bid": 170.8, "bid_size": 5.0, "ask": 177.5, "ask_size": 12.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 174.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 122.53, "last_trade_time": "2026-09-11T14:25:11", "percent_change": 0.0, "prev_day_close": 179.449996948242}, {"option": "AMR261218C00105000", "bid": 48.3, "bid_size": 11.0, "ask": 54.0, "ask_size": 6.0, "iv": 0.7142, "open_interest": 0.0, "volume": 0.0, "delta": 0.9677, "gamma": 0.002, "vega": 0.0349, "theta": -0.0244, "rho": 0.0976, "theo": 51.0221, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 46.6000003814697}, {"option": "AMR261218P00105000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 15.0, "iv": 1.0219, "open_interest": 0.0, "volume": 0.0, "delta": -0.0299, "gamma": 0.002, "vega": 0.0347, "theta": -0.0291, "rho": -0.0053, "theo": 0.4214, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218C00110000", "bid": 43.5, "bid_size": 12.0, "ask": 49.8, "ask_size": 11.0, "iv": 0.7362, "open_interest": 0.0, "volume": 0.0, "delta": 0.9542, "gamma": 0.0027, "vega": 0.0471, "theta": -0.0342, "rho": 0.1054, "theo": 46.2522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.8999996185303}, {"option": "AMR261218P00110000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 11.0, "iv": 0.9288, "open_interest": 4.0, "volume": 0.0, "delta": -0.0433, "gamma": 0.0027, "vega": 0.047, "theta": -0.0385, "rho": -0.0076, "theo": 0.6297, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-10-21T14:56:32", "percent_change": 0.0, "prev_day_close": 0.5749999769032}, {"option": "AMR261218C00115000", "bid": 38.8, "bid_size": 12.0, "ask": 45.2, "ask_size": 10.0, "iv": 0.7077, "open_interest": 0.0, "volume": 0.0, "delta": 0.9359, "gamma": 0.0037, "vega": 0.062, "theta": -0.046, "rho": 0.1107, "theo": 41.5721, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.2999992370606}, {"option": "AMR261218P00115000", "bid": 0.25, "bid_size": 5.0, "ask": 5.0, "ask_size": 12.0, "iv": 0.8573, "open_interest": 2.0, "volume": 0.0, "delta": -0.0614, "gamma": 0.0037, "vega": 0.062, "theta": -0.0499, "rho": -0.0108, "theo": 0.9268, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.4, "last_trade_time": "2026-10-22T14:56:46", "percent_change": 0.0, "prev_day_close": 1.17499995231628}, {"option": "AMR261218C00120000", "bid": 34.0, "bid_size": 11.0, "ask": 40.2, "ask_size": 11.0, "iv": 0.6394, "open_interest": 0.0, "volume": 0.0, "delta": 0.9119, "gamma": 0.0049, "vega": 0.0797, "theta": -0.0595, "rho": 0.114, "theo": 37.0116, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.5499992370606}, {"option": "AMR261218P00120000", "bid": 0.05, "bid_size": 8.0, "ask": 6.0, "ask_size": 11.0, "iv": 0.8066, "open_interest": 2.0, "volume": 0.0, "delta": -0.0854, "gamma": 0.0049, "vega": 0.0798, "theta": -0.063, "rho": -0.015, "theo": 1.3431, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 3.0, "last_trade_time": "2026-11-05T13:14:14", "percent_change": 0.0, "prev_day_close": 1.69999995827675}, {"option": "AMR261218C00125000", "bid": 29.8, "bid_size": 12.0, "ask": 35.6, "ask_size": 11.0, "iv": 0.6236, "open_interest": 0.0, "volume": 0.0, "delta": 0.8811, "gamma": 0.0062, "vega": 0.0997, "theta": -0.0744, "rho": 0.1152, "theo": 32.607, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 27.6999998092651}, {"option": "AMR261218P00125000", "bid": 1.05, "bid_size": 4.0, "ask": 2.9, "ask_size": 10.0, "iv": 0.6203, "open_interest": 12.0, "volume": 0.0, "delta": -0.1162, "gamma": 0.0062, "vega": 0.0998, "theta": -0.0776, "rho": -0.0204, "theo": 1.9151, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.45, "last_trade_time": "2026-11-04T11:22:29", "percent_change": 0.0, "prev_day_close": 3.25}, {"option": "AMR261218C00130000", "bid": 25.5, "bid_size": 12.0, "ask": 30.9, "ask_size": 13.0, "iv": 0.585, "open_interest": 0.0, "volume": 0.0, "delta": 0.8426, "gamma": 0.0077, "vega": 0.1212, "theta": -0.0901, "rho": 0.1141, "theo": 28.3996, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 25.1999998092651}, {"option": "AMR261218P00130000", "bid": 2.0, "bid_size": 14.0, "ask": 3.2, "ask_size": 23.0, "iv": 0.5948, "open_interest": 4.0, "volume": 0.0, "delta": -0.1548, "gamma": 0.0078, "vega": 0.1214, "theta": -0.0929, "rho": -0.0271, "theo": 2.6846, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.9, "last_trade_time": "2026-11-04T11:14:40", "percent_change": 0.0, "prev_day_close": 3.27499997615814}, {"option": "AMR261218C00135000", "bid": 21.6, "bid_size": 12.0, "ask": 27.5, "ask_size": 11.0, "iv": 0.599, "open_interest": 0.0, "volume": 0.0, "delta": 0.7962, "gamma": 0.0093, "vega": 0.1429, "theta": -0.1057, "rho": 0.111, "theo": 24.4343, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.0999994277954}, {"option": "AMR261218P00135000", "bid": 2.1, "bid_size": 11.0, "ask": 4.2, "ask_size": 19.0, "iv": 0.5518, "open_interest": 111.0, "volume": 3.0, "delta": -0.2013, "gamma": 0.0093, "vega": 0.1431, "theta": -0.108, "rho": -0.0351, "theo": 3.6966, "change": -0.82, "open": 4.7, "high": 4.7, "low": 3.98, "tick": "down", "last_trade_price": 3.98, "last_trade_time": "2026-11-09T14:49:30", "percent_change": -17.0833, "prev_day_close": 4.79999995231628}, {"option": "AMR261218C00140000", "bid": 19.8, "bid_size": 12.0, "ask": 23.8, "ask_size": 11.0, "iv": 0.6448, "open_interest": 0.0, "volume": 0.0, "delta": 0.7421, "gamma": 0.0108, "vega": 0.1633, "theta": -0.1199, "rho": 0.106, "theo": 20.7555, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.9000005722046}, {"option": "AMR261218P00140000", "bid": 2.35, "bid_size": 16.0, "ask": 5.4, "ask_size": 20.0, "iv": 0.5114, "open_interest": 8.0, "volume": 6.0, "delta": -0.2556, "gamma": 0.0108, "vega": 0.1636, "theta": -0.1219, "rho": -0.0443, "theo": 4.996, "change": -1.8, "open": 5.05, "high": 5.05, "low": 4.9, "tick": "down", "last_trade_price": 4.9, "last_trade_time": "2026-11-09T15:25:29", "percent_change": -26.8657, "prev_day_close": 6.70000004768372}, {"option": "AMR261218C00145000", "bid": 16.8, "bid_size": 16.0, "ask": 19.9, "ask_size": 8.0, "iv": 0.6261, "open_interest": 25.0, "volume": 0.0, "delta": 0.6814, "gamma": 0.0121, "vega": 0.1807, "theta": -0.1318, "rho": 0.0993, "theo": 17.4028, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 12.1, "last_trade_time": "2026-11-05T14:14:41", "percent_change": 0.0, "prev_day_close": 14.5500001907349}, {"option": "AMR261218P00145000", "bid": 5.3, "bid_size": 9.0, "ask": 7.1, "ask_size": 10.0, "iv": 0.5505, "open_interest": 78.0, "volume": 3.0, "delta": -0.3166, "gamma": 0.0122, "vega": 0.181, "theta": -0.1334, "rho": -0.0545, "theo": 6.6227, "change": -1.9, "open": 7.0, "high": 7.1, "low": 7.0, "tick": "down", "last_trade_price": 7.0, "last_trade_time": "2026-11-09T13:00:06", "percent_change": -21.3483, "prev_day_close": 8.90000009536743}, {"option": "AMR261218C00150000", "bid": 14.0, "bid_size": 11.0, "ask": 16.4, "ask_size": 19.0, "iv": 0.6089, "open_interest": 1.0, "volume": 0.0, "delta": 0.6157, "gamma": 0.0131, "vega": 0.1935, "theta": -0.1403, "rho": 0.0912, "theo": 14.4062, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.6, "last_trade_time": "2026-10-20T15:26:11", "percent_change": 0.0, "prev_day_close": 12.0999999046326}, {"option": "AMR261218P00150000", "bid": 7.2, "bid_size": 8.0, "ask": 9.2, "ask_size": 17.0, "iv": 0.5469, "open_interest": 9.0, "volume": 0.0, "delta": -0.3825, "gamma": 0.0132, "vega": 0.1938, "theta": -0.1416, "rho": -0.0653, "theo": 8.6069, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.5, "last_trade_time": "2026-11-06T10:35:22", "percent_change": 0.0, "prev_day_close": 11.4499998092651}, {"option": "AMR261218C00155000", "bid": 11.1, "bid_size": 7.0, "ask": 13.7, "ask_size": 16.0, "iv": 0.5943, "open_interest": 6.0, "volume": 1.0, "delta": 0.5473, "gamma": 0.0137, "vega": 0.2008, "theta": -0.1449, "rho": 0.0822, "theo": 11.7819, "change": 1.35, "open": 11.3, "high": 11.3, "low": 11.3, "tick": "down", "last_trade_price": 11.3, "last_trade_time": "2026-11-09T14:03:18", "percent_change": 13.5678, "prev_day_close": 9.9500002861023}, {"option": "AMR261218P00155000", "bid": 10.0, "bid_size": 14.0, "ask": 11.9, "ask_size": 17.0, "iv": 0.5627, "open_interest": 6.0, "volume": 0.0, "delta": -0.4512, "gamma": 0.0138, "vega": 0.2009, "theta": -0.1457, "rho": -0.0761, "theo": 10.9651, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.4, "last_trade_time": "2026-11-02T14:34:15", "percent_change": 0.0, "prev_day_close": 13.9000000953674}, {"option": "AMR261218C00160000", "bid": 8.9, "bid_size": 9.0, "ask": 11.2, "ask_size": 12.0, "iv": 0.5863, "open_interest": 12.0, "volume": 2.0, "delta": 0.4789, "gamma": 0.0139, "vega": 0.2021, "theta": -0.1452, "rho": 0.0728, "theo": 9.5303, "change": 1.03, "open": 10.0, "high": 10.0, "low": 9.18, "tick": "down", "last_trade_price": 9.18, "last_trade_time": "2026-11-09T15:14:02", "percent_change": 12.638, "prev_day_close": 8.14999985694885}, {"option": "AMR261218P00160000", "bid": 12.0, "bid_size": 8.0, "ask": 14.3, "ask_size": 12.0, "iv": 0.5334, "open_interest": 21.0, "volume": 0.0, "delta": -0.5201, "gamma": 0.014, "vega": 0.202, "theta": -0.1458, "rho": -0.0865, "theo": 13.698, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.0, "last_trade_time": "2026-11-05T13:51:16", "percent_change": 0.0, "prev_day_close": 17.3999996185303}, {"option": "AMR261218C00165000", "bid": 6.7, "bid_size": 9.0, "ask": 9.2, "ask_size": 12.0, "iv": 0.575, "open_interest": 8.0, "volume": 1.0, "delta": 0.4128, "gamma": 0.0136, "vega": 0.1977, "theta": -0.1416, "rho": 0.0633, "theo": 7.6363, "change": 0.85, "open": 7.5, "high": 7.5, "low": 7.5, "tick": "down", "last_trade_price": 7.5, "last_trade_time": "2026-11-09T10:13:45", "percent_change": 12.782, "prev_day_close": 6.65000009536743}, {"option": "AMR261218P00165000", "bid": 14.7, "bid_size": 9.0, "ask": 17.4, "ask_size": 12.0, "iv": 0.5214, "open_interest": 2.0, "volume": 1.0, "delta": -0.5866, "gamma": 0.0137, "vega": 0.1973, "theta": -0.1419, "rho": -0.0959, "theo": 16.7905, "change": -0.99, "open": 19.96, "high": 19.96, "low": 19.96, "tick": "up", "last_trade_price": 19.96, "last_trade_time": "2026-11-09T09:32:05", "percent_change": -4.72554, "prev_day_close": 20.9499998092651}, {"option": "AMR261218C00170000", "bid": 5.7, "bid_size": 10.0, "ask": 7.5, "ask_size": 18.0, "iv": 0.587, "open_interest": 8.0, "volume": 0.0, "delta": 0.3512, "gamma": 0.013, "vega": 0.1884, "theta": -0.1348, "rho": 0.0543, "theo": 6.0718, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.31, "last_trade_time": "2026-11-06T13:25:38", "percent_change": 0.0, "prev_day_close": 5.20000004768372}, {"option": "AMR261218P00170000", "bid": 18.4, "bid_size": 12.0, "ask": 20.7, "ask_size": 12.0, "iv": 0.5232, "open_interest": 7.0, "volume": 2.0, "delta": -0.6489, "gamma": 0.0131, "vega": 0.188, "theta": -0.1347, "rho": -0.1053, "theo": 20.2149, "change": -4.78, "open": 20.69, "high": 20.69, "low": 19.97, "tick": "down", "last_trade_price": 19.97, "last_trade_time": "2026-11-09T15:33:47", "percent_change": -19.3131, "prev_day_close": 24.75}, {"option": "AMR261218C00175000", "bid": 4.2, "bid_size": 13.0, "ask": 8.2, "ask_size": 19.0, "iv": 0.6383, "open_interest": 5.0, "volume": 19.0, "delta": 0.2952, "gamma": 0.012, "vega": 0.1754, "theta": -0.1255, "rho": 0.0459, "theo": 4.8001, "change": 0.9, "open": 4.9, "high": 5.0, "low": 4.9, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-11-09T15:44:40", "percent_change": 21.9512, "prev_day_close": 4.10000002384186}, {"option": "AMR261218P00175000", "bid": 20.7, "bid_size": 16.0, "ask": 25.1, "ask_size": 12.0, "iv": 0.499, "open_interest": 5.0, "volume": 0.0, "delta": -0.7054, "gamma": 0.0122, "vega": 0.1746, "theta": -0.1252, "rho": -0.1111, "theo": 23.9352, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.45, "last_trade_time": "2026-11-04T10:24:34", "percent_change": 0.0, "prev_day_close": 27.8500003814697}, {"option": "AMR261218C00180000", "bid": 3.1, "bid_size": 10.0, "ask": 6.4, "ask_size": 15.0, "iv": 0.6214, "open_interest": 9.0, "volume": 15.0, "delta": 0.2459, "gamma": 0.0109, "vega": 0.1601, "theta": -0.1147, "rho": 0.0384, "theo": 3.78, "change": 0.575, "open": 3.85, "high": 3.9, "low": 3.85, "tick": "up", "last_trade_price": 3.9, "last_trade_time": "2026-11-09T15:44:20", "percent_change": 17.2932, "prev_day_close": 3.32500004768372}, {"option": "AMR261218P00180000", "bid": 25.3, "bid_size": 9.0, "ask": 30.6, "ask_size": 12.0, "iv": 0.5648, "open_interest": 7.0, "volume": 1.0, "delta": -0.7554, "gamma": 0.0111, "vega": 0.1589, "theta": -0.1141, "rho": -0.1147, "theo": 27.9097, "change": -2.04, "open": 30.51, "high": 30.51, "low": 30.51, "tick": "down", "last_trade_price": 30.51, "last_trade_time": "2026-11-09T09:36:51", "percent_change": -6.26728, "prev_day_close": 32.5500001907349}, {"option": "AMR261218C00185000", "bid": 2.2, "bid_size": 10.0, "ask": 3.9, "ask_size": 17.0, "iv": 0.5708, "open_interest": 27.0, "volume": 3.0, "delta": 0.2033, "gamma": 0.0098, "vega": 0.1438, "theta": -0.1033, "rho": 0.0318, "theo": 2.9706, "change": 0.47, "open": 2.97, "high": 2.97, "low": 2.97, "tick": "up", "last_trade_price": 2.97, "last_trade_time": "2026-11-09T15:36:14", "percent_change": 18.8, "prev_day_close": 2.50000005960464}, {"option": "AMR261218P00185000", "bid": 29.6, "bid_size": 10.0, "ask": 35.0, "ask_size": 12.0, "iv": 0.5795, "open_interest": 0.0, "volume": 0.0, "delta": -0.7988, "gamma": 0.01, "vega": 0.1421, "theta": -0.1024, "rho": -0.1176, "theo": 32.0979, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.1499996185303}, {"option": "AMR261218C00190000", "bid": 1.5, "bid_size": 11.0, "ask": 3.0, "ask_size": 14.0, "iv": 0.5625, "open_interest": 3.0, "volume": 0.0, "delta": 0.1671, "gamma": 0.0086, "vega": 0.1275, "theta": -0.0918, "rho": 0.0263, "theo": 2.3337, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.22, "last_trade_time": "2026-11-06T13:24:28", "percent_change": 0.0, "prev_day_close": 1.97499996423721}, {"option": "AMR261218P00190000", "bid": 33.9, "bid_size": 9.0, "ask": 39.3, "ask_size": 17.0, "iv": 0.5803, "open_interest": 2.0, "volume": 1.0, "delta": -0.8356, "gamma": 0.0088, "vega": 0.1247, "theta": -0.0906, "rho": -0.1164, "theo": 36.4608, "change": -1.45, "open": 39.5, "high": 39.5, "low": 39.5, "tick": "up", "last_trade_price": 39.5, "last_trade_time": "2026-11-09T10:01:29", "percent_change": -3.5409, "prev_day_close": 40.9499988555908}, {"option": "AMR261218C00195000", "bid": 1.5, "bid_size": 13.0, "ask": 2.4, "ask_size": 15.0, "iv": 0.5839, "open_interest": 27.0, "volume": 0.0, "delta": 0.1369, "gamma": 0.0075, "vega": 0.1117, "theta": -0.0807, "rho": 0.0216, "theo": 1.8353, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.4, "last_trade_time": "2026-11-06T13:54:11", "percent_change": 0.0, "prev_day_close": 1.52500003576279}, {"option": "AMR261218P00195000", "bid": 37.8, "bid_size": 9.0, "ask": 43.9, "ask_size": 12.0, "iv": 0.5628, "open_interest": 2.0, "volume": 0.0, "delta": -0.8666, "gamma": 0.0077, "vega": 0.1086, "theta": -0.0793, "rho": -0.1162, "theo": 40.9642, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 46.94, "last_trade_time": "2026-11-04T13:25:54", "percent_change": 0.0, "prev_day_close": 45.4500007629394}, {"option": "AMR261218C00200000", "bid": 0.0, "bid_size": 0.0, "ask": 2.1, "ask_size": 5.0, "iv": 0.5342, "open_interest": 1.0, "volume": 0.0, "delta": 0.1119, "gamma": 0.0064, "vega": 0.097, "theta": -0.0704, "rho": 0.0176, "theo": 1.4463, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.4, "last_trade_time": "2026-10-23T12:33:16", "percent_change": 0.0, "prev_day_close": 1.95000004768372}, {"option": "AMR261218P00200000", "bid": 42.3, "bid_size": 10.0, "ask": 47.5, "ask_size": 8.0, "iv": 0.4898, "open_interest": 0.0, "volume": 0.0, "delta": -0.8924, "gamma": 0.0066, "vega": 0.0932, "theta": -0.0687, "rho": -0.1112, "theo": 45.5803, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 49.7000007629394}, {"option": "AMR261218C00210000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 16.0, "iv": 0.7564, "open_interest": 0.0, "volume": 0.0, "delta": 0.0748, "gamma": 0.0047, "vega": 0.0721, "theta": -0.0528, "rho": 0.0118, "theo": 0.9074, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218P00210000", "bid": 51.9, "bid_size": 12.0, "ask": 58.1, "ask_size": 12.0, "iv": 0.5807, "open_interest": 3.0, "volume": 0.0, "delta": -0.9312, "gamma": 0.0049, "vega": 0.066, "theta": -0.0505, "rho": -0.0998, "theo": 55.0581, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 64.04, "last_trade_time": "2026-11-04T10:34:29", "percent_change": 0.0, "prev_day_close": 59.75}, {"option": "AMR261218C00220000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 18.0, "iv": 0.8345, "open_interest": 1.0, "volume": 0.0, "delta": 0.0502, "gamma": 0.0034, "vega": 0.0529, "theta": -0.0392, "rho": 0.0079, "theo": 0.5791, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.3, "last_trade_time": "2026-10-27T11:13:34", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218P00220000", "bid": 60.8, "bid_size": 11.0, "ask": 67.7, "ask_size": 7.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9575, "gamma": 0.0037, "vega": 0.0443, "theta": -0.0368, "rho": -0.0821, "theo": 64.7556, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 62.92, "last_trade_time": "2026-11-03T09:53:08", "percent_change": 0.0, "prev_day_close": 70.1999969482422}, {"option": "AMR261218C00230000", "bid": 0.0, "bid_size": 0.0, "ask": 1.7, "ask_size": 17.0, "iv": 0.7123, "open_interest": 18.0, "volume": 0.0, "delta": 0.034, "gamma": 0.0024, "vega": 0.0386, "theta": -0.029, "rho": 0.0054, "theo": 0.377, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.2, "last_trade_time": "2026-10-23T11:00:33", "percent_change": 0.0, "prev_day_close": 1.04999995231628}, {"option": "AMR261218P00230000", "bid": 70.0, "bid_size": 8.0, "ask": 77.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9755, "gamma": 0.0028, "vega": 0.0272, "theta": -0.0265, "rho": -0.0605, "theo": 74.588, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 74.57, "last_trade_time": "2026-10-20T09:53:24", "percent_change": 0.0, "prev_day_close": 80.0499992370606}, {"option": "AMR261218C00240000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 12.0, "iv": 0.9745, "open_interest": 1.0, "volume": 0.0, "delta": 0.0234, "gamma": 0.0017, "vega": 0.0283, "theta": -0.0215, "rho": 0.0037, "theo": 0.2506, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.15, "last_trade_time": "2026-10-23T13:35:32", "percent_change": 0.0, "prev_day_close": 0.75}, {"option": "AMR261218P00240000", "bid": 80.0, "bid_size": 8.0, "ask": 87.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.988, "gamma": 0.0021, "vega": 0.0147, "theta": -0.0187, "rho": -0.0329, "theo": 84.5033, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 90.0499992370606}, {"option": "AMR261218C00250000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 18.0, "iv": 1.0379, "open_interest": 4.0, "volume": 0.0, "delta": 0.0163, "gamma": 0.0012, "vega": 0.0208, "theta": -0.016, "rho": 0.0026, "theo": 0.17, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.9, "last_trade_time": "2026-10-27T13:08:08", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218P00250000", "bid": 90.0, "bid_size": 8.0, "ask": 97.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9958, "gamma": 0.0011, "vega": 0.0055, "theta": -0.0098, "rho": -0.0146, "theo": 94.4745, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 99.9499969482422}, {"option": "AMR261218C00260000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 14.0, "iv": 1.0977, "open_interest": 0.0, "volume": 0.0, "delta": 0.0116, "gamma": 0.0009, "vega": 0.0155, "theta": -0.012, "rho": 0.0018, "theo": 0.1177, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218P00260000", "bid": 100.0, "bid_size": 8.0, "ask": 107.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.999, "gamma": 0.0003, "vega": 0.0, "theta": -0.0063, "rho": 0.0, "theo": 104.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 109.849998474121}, {"option": "AMR261218C00270000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 25.0, "iv": 1.1542, "open_interest": 0.0, "volume": 0.0, "delta": 0.0083, "gamma": 0.0007, "vega": 0.0116, "theta": -0.0091, "rho": 0.0013, "theo": 0.083, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR261218P00270000", "bid": 110.0, "bid_size": 8.0, "ask": 117.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0063, "rho": 0.0, "theo": 114.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 119.75}, {"option": "AMR261218C00280000", "bid": 0.0, "bid_size": 0.0, "ask": 6.8, "ask_size": 12.0, "iv": 1.3067, "open_interest": 0.0, "volume": 0.0, "delta": 0.0061, "gamma": 0.0005, "vega": 0.0088, "theta": -0.007, "rho": 0.001, "theo": 0.0596, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.0}, {"option": "AMR261218P00280000", "bid": 120.0, "bid_size": 9.0, "ask": 127.7, "ask_size": 9.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0063, "rho": 0.0, "theo": 124.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 130.049995422363}, {"option": "AMR270219C00070000", "bid": 83.3, "bid_size": 8.0, "ask": 91.0, "ask_size": 8.0, "iv": 1.0124, "open_interest": 0.0, "volume": 0.0, "delta": 0.9843, "gamma": 0.0006, "vega": 0.0275, "theta": 0.0, "rho": 0.1221, "theo": 85.8796, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 81.25}, {"option": "AMR270219P00070000", "bid": 0.0, "bid_size": 0.0, "ask": 1.7, "ask_size": 12.0, "iv": 0.8917, "open_interest": 0.0, "volume": 0.0, "delta": -0.0126, "gamma": 0.0005, "vega": 0.027, "theta": -0.0095, "rho": -0.006, "theo": 0.297, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270219C00075000", "bid": 78.5, "bid_size": 8.0, "ask": 86.2, "ask_size": 8.0, "iv": 0.9576, "open_interest": 0.0, "volume": 0.0, "delta": 0.9789, "gamma": 0.0008, "vega": 0.0364, "theta": -0.001, "rho": 0.1445, "theo": 81.04, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 76.4000015258789}, {"option": "AMR270219P00075000", "bid": 0.0, "bid_size": 0.0, "ask": 1.7, "ask_size": 12.0, "iv": 0.8236, "open_interest": 0.0, "volume": 0.0, "delta": -0.0175, "gamma": 0.0007, "vega": 0.0357, "theta": -0.0122, "rho": -0.0084, "theo": 0.417, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270219C00080000", "bid": 73.7, "bid_size": 8.0, "ask": 81.4, "ask_size": 8.0, "iv": 0.9039, "open_interest": 0.0, "volume": 0.0, "delta": 0.9721, "gamma": 0.001, "vega": 0.047, "theta": -0.0048, "rho": 0.1658, "theo": 76.2441, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 71.5999984741211}, {"option": "AMR270219P00080000", "bid": 0.0, "bid_size": 0.0, "ask": 1.9, "ask_size": 21.0, "iv": 0.777, "open_interest": 36.0, "volume": 0.0, "delta": -0.0237, "gamma": 0.001, "vega": 0.0463, "theta": -0.0155, "rho": -0.0114, "theo": 0.5756, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.4, "last_trade_time": "2026-11-04T12:49:44", "percent_change": 0.0, "prev_day_close": 1.07500004768372}, {"option": "AMR270219C00085000", "bid": 69.1, "bid_size": 7.0, "ask": 75.5, "ask_size": 7.0, "iv": 0.8006, "open_interest": 0.0, "volume": 0.0, "delta": 0.9638, "gamma": 0.0013, "vega": 0.0595, "theta": -0.0092, "rho": 0.1848, "theo": 71.501, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 67.4000015258789}, {"option": "AMR270219P00085000", "bid": 0.0, "bid_size": 0.0, "ask": 3.2, "ask_size": 23.0, "iv": 0.8037, "open_interest": 5.0, "volume": 0.0, "delta": -0.0317, "gamma": 0.0012, "vega": 0.0588, "theta": -0.0193, "rho": -0.0152, "theo": 0.7827, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.8, "last_trade_time": "2026-10-23T14:41:09", "percent_change": 0.0, "prev_day_close": 2.09999990463257}, {"option": "AMR270219C00090000", "bid": 64.2, "bid_size": 11.0, "ask": 70.8, "ask_size": 10.0, "iv": 0.7538, "open_interest": 0.0, "volume": 0.0, "delta": 0.9535, "gamma": 0.0016, "vega": 0.0742, "theta": -0.0141, "rho": 0.2015, "theo": 66.8208, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 62.4500007629394}, {"option": "AMR270219P00090000", "bid": 0.0, "bid_size": 0.0, "ask": 3.3, "ask_size": 25.0, "iv": 0.7458, "open_interest": 4.0, "volume": 0.0, "delta": -0.0416, "gamma": 0.0016, "vega": 0.0735, "theta": -0.0236, "rho": -0.02, "theo": 1.0494, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.75, "last_trade_time": "2026-09-21T15:47:11", "percent_change": 0.0, "prev_day_close": 0.75}, {"option": "AMR270219C00095000", "bid": 59.7, "bid_size": 7.0, "ask": 66.2, "ask_size": 7.0, "iv": 0.731, "open_interest": 0.0, "volume": 0.0, "delta": 0.9411, "gamma": 0.002, "vega": 0.0909, "theta": -0.0196, "rho": 0.216, "theo": 62.2154, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 57.9499988555908}, {"option": "AMR270219P00095000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 17.0, "iv": 0.7606, "open_interest": 3.0, "volume": 0.0, "delta": -0.0538, "gamma": 0.002, "vega": 0.0904, "theta": -0.0284, "rho": -0.0258, "theo": 1.388, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.0, "last_trade_time": "2026-10-08T10:21:17", "percent_change": 0.0, "prev_day_close": 0.999999988824129}, {"option": "AMR270219C00100000", "bid": 55.0, "bid_size": 12.0, "ask": 62.1, "ask_size": 12.0, "iv": 0.7151, "open_interest": 2.0, "volume": 0.0, "delta": 0.9261, "gamma": 0.0025, "vega": 0.1094, "theta": -0.0254, "rho": 0.2281, "theo": 57.699, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 62.0, "last_trade_time": "2026-08-13T15:43:29", "percent_change": 0.0, "prev_day_close": 53.3500003814697}, {"option": "AMR270219P00100000", "bid": 0.5, "bid_size": 3.0, "ask": 2.4, "ask_size": 12.0, "iv": 0.6075, "open_interest": 6.0, "volume": 0.0, "delta": -0.0686, "gamma": 0.0025, "vega": 0.1091, "theta": -0.0337, "rho": -0.0329, "theo": 1.8139, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.9, "last_trade_time": "2026-11-04T12:50:09", "percent_change": 0.0, "prev_day_close": 2.52500000037253}, {"option": "AMR270219C00105000", "bid": 50.8, "bid_size": 7.0, "ask": 57.3, "ask_size": 2.0, "iv": 0.686, "open_interest": 0.0, "volume": 0.0, "delta": 0.9083, "gamma": 0.003, "vega": 0.1301, "theta": -0.0317, "rho": 0.2376, "theo": 53.2866, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 49.1000003814697}, {"option": "AMR270219P00105000", "bid": 0.05, "bid_size": 12.0, "ask": 4.9, "ask_size": 11.0, "iv": 0.6401, "open_interest": 2.0, "volume": 0.0, "delta": -0.0863, "gamma": 0.003, "vega": 0.1299, "theta": -0.0394, "rho": -0.0414, "theo": 2.3426, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.1, "last_trade_time": "2026-08-10T10:03:15", "percent_change": 0.0, "prev_day_close": 2.79999995231628}, {"option": "AMR270219C00110000", "bid": 46.5, "bid_size": 7.0, "ask": 53.0, "ask_size": 3.0, "iv": 0.666, "open_interest": 111.0, "volume": 0.0, "delta": 0.8875, "gamma": 0.0036, "vega": 0.1521, "theta": -0.0383, "rho": 0.2444, "theo": 48.9947, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 52.0, "last_trade_time": "2026-10-20T13:44:48", "percent_change": 0.0, "prev_day_close": 44.75}, {"option": "AMR270219P00110000", "bid": 1.35, "bid_size": 11.0, "ask": 6.1, "ask_size": 9.0, "iv": 0.6646, "open_interest": 5.0, "volume": 0.0, "delta": -0.1071, "gamma": 0.0036, "vega": 0.1522, "theta": -0.0453, "rho": -0.0513, "theo": 2.9908, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.0, "last_trade_time": "2026-11-04T13:58:45", "percent_change": 0.0, "prev_day_close": 3.35000002384186}, {"option": "AMR270219C00115000", "bid": 42.4, "bid_size": 8.0, "ask": 49.1, "ask_size": 11.0, "iv": 0.6572, "open_interest": 0.0, "volume": 0.0, "delta": 0.8634, "gamma": 0.0042, "vega": 0.1751, "theta": -0.045, "rho": 0.2485, "theo": 44.8414, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.75}, {"option": "AMR270219P00115000", "bid": 2.1, "bid_size": 9.0, "ask": 4.9, "ask_size": 10.0, "iv": 0.5906, "open_interest": 6.0, "volume": 0.0, "delta": -0.1312, "gamma": 0.0043, "vega": 0.1753, "theta": -0.0514, "rho": -0.0628, "theo": 3.7778, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.1, "last_trade_time": "2026-10-15T14:45:36", "percent_change": 0.0, "prev_day_close": 2.94999995827675}, {"option": "AMR270219C00120000", "bid": 38.4, "bid_size": 6.0, "ask": 44.9, "ask_size": 3.0, "iv": 0.6364, "open_interest": 0.0, "volume": 0.0, "delta": 0.8361, "gamma": 0.0049, "vega": 0.1988, "theta": -0.0517, "rho": 0.2497, "theo": 40.8444, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.4499988555908}, {"option": "AMR270219P00120000", "bid": 1.7, "bid_size": 11.0, "ask": 5.3, "ask_size": 10.0, "iv": 0.5323, "open_interest": 39.0, "volume": 0.0, "delta": -0.1587, "gamma": 0.0049, "vega": 0.1992, "theta": -0.0575, "rho": -0.0757, "theo": 4.7218, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.9, "last_trade_time": "2026-11-05T11:59:09", "percent_change": 0.0, "prev_day_close": 5.09999990463257}, {"option": "AMR270219C00125000", "bid": 34.6, "bid_size": 7.0, "ask": 41.1, "ask_size": 12.0, "iv": 0.6241, "open_interest": 16.0, "volume": 0.0, "delta": 0.8055, "gamma": 0.0056, "vega": 0.2223, "theta": -0.0582, "rho": 0.2485, "theo": 37.0215, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 113.8, "last_trade_time": "2026-09-02T15:11:24", "percent_change": 0.0, "prev_day_close": 33.3000011444092}, {"option": "AMR270219P00125000", "bid": 2.35, "bid_size": 9.0, "ask": 7.0, "ask_size": 10.0, "iv": 0.5333, "open_interest": 28.0, "volume": 0.0, "delta": -0.1895, "gamma": 0.0056, "vega": 0.2228, "theta": -0.0634, "rho": -0.0901, "theo": 5.8399, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.4, "last_trade_time": "2026-11-05T12:00:48", "percent_change": 0.0, "prev_day_close": 6.40000009536743}, {"option": "AMR270219C00130000", "bid": 30.9, "bid_size": 7.0, "ask": 37.7, "ask_size": 11.0, "iv": 0.6156, "open_interest": 3.0, "volume": 0.0, "delta": 0.7717, "gamma": 0.0062, "vega": 0.2448, "theta": -0.0644, "rho": 0.2448, "theo": 33.3903, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 89.9, "last_trade_time": "2026-08-25T15:25:30", "percent_change": 0.0, "prev_day_close": 29.8499994277954}, {"option": "AMR270219P00130000", "bid": 5.3, "bid_size": 5.0, "ask": 8.2, "ask_size": 10.0, "iv": 0.5622, "open_interest": 13.0, "volume": 0.0, "delta": -0.2235, "gamma": 0.0063, "vega": 0.2454, "theta": -0.0689, "rho": -0.1059, "theo": 7.1515, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.61, "last_trade_time": "2026-11-02T15:08:41", "percent_change": 0.0, "prev_day_close": 7.64999985694885}, {"option": "AMR270219C00135000", "bid": 27.5, "bid_size": 11.0, "ask": 33.7, "ask_size": 14.0, "iv": 0.5948, "open_interest": 368.0, "volume": 0.0, "delta": 0.7351, "gamma": 0.0068, "vega": 0.2659, "theta": -0.0699, "rho": 0.2388, "theo": 29.9654, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 26.1, "last_trade_time": "2026-11-06T14:16:10", "percent_change": 0.0, "prev_day_close": 26.5499992370605}, {"option": "AMR270219P00135000", "bid": 6.8, "bid_size": 12.0, "ask": 9.2, "ask_size": 25.0, "iv": 0.5457, "open_interest": 58.0, "volume": 0.0, "delta": -0.2605, "gamma": 0.0069, "vega": 0.2666, "theta": -0.0738, "rho": -0.123, "theo": 8.6713, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.1, "last_trade_time": "2026-11-06T12:10:36", "percent_change": 0.0, "prev_day_close": 9.60000038146973}, {"option": "AMR270219C00140000", "bid": 24.2, "bid_size": 7.0, "ask": 30.9, "ask_size": 2.0, "iv": 0.5919, "open_interest": 5.0, "volume": 0.0, "delta": 0.6959, "gamma": 0.0074, "vega": 0.2844, "theta": -0.0748, "rho": 0.231, "theo": 26.7597, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 46.09, "last_trade_time": "2026-09-21T09:59:53", "percent_change": 0.0, "prev_day_close": 23.9000005722046}, {"option": "AMR270219P00140000", "bid": 6.3, "bid_size": 19.0, "ask": 10.8, "ask_size": 22.0, "iv": 0.4983, "open_interest": 55.0, "volume": 0.0, "delta": -0.3, "gamma": 0.0075, "vega": 0.2853, "theta": -0.078, "rho": -0.1406, "theo": 10.4115, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.9, "last_trade_time": "2026-11-06T12:59:20", "percent_change": 0.0, "prev_day_close": 11.8000001907349}, {"option": "AMR270219C00145000", "bid": 21.1, "bid_size": 11.0, "ask": 27.4, "ask_size": 12.0, "iv": 0.5737, "open_interest": 276.0, "volume": 0.0, "delta": 0.6548, "gamma": 0.0079, "vega": 0.3001, "theta": -0.0787, "rho": 0.2216, "theo": 23.7834, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.94, "last_trade_time": "2026-11-04T15:59:59", "percent_change": 0.0, "prev_day_close": 21.3000001907349}, {"option": "AMR270219P00145000", "bid": 10.6, "bid_size": 12.0, "ask": 12.8, "ask_size": 21.0, "iv": 0.5354, "open_interest": 138.0, "volume": 0.0, "delta": -0.3416, "gamma": 0.008, "vega": 0.3009, "theta": -0.0814, "rho": -0.1593, "theo": 12.3842, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.8, "last_trade_time": "2026-11-05T12:01:25", "percent_change": 0.0, "prev_day_close": 14.4499998092651}, {"option": "AMR270219C00150000", "bid": 18.2, "bid_size": 11.0, "ask": 23.1, "ask_size": 11.0, "iv": 0.5403, "open_interest": 425.0, "volume": 0.0, "delta": 0.6123, "gamma": 0.0083, "vega": 0.3124, "theta": -0.0817, "rho": 0.2106, "theo": 21.0413, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.51, "last_trade_time": "2026-10-27T15:57:07", "percent_change": 0.0, "prev_day_close": 18.9000005722046}, {"option": "AMR270219P00150000", "bid": 11.3, "bid_size": 18.0, "ask": 15.1, "ask_size": 18.0, "iv": 0.5083, "open_interest": 242.0, "volume": 25.0, "delta": -0.3847, "gamma": 0.0084, "vega": 0.3131, "theta": -0.0838, "rho": -0.178, "theo": 14.5943, "change": -1.64, "open": 14.71, "high": 14.71, "low": 14.71, "tick": "no_change", "last_trade_price": 14.71, "last_trade_time": "2026-11-09T14:13:21", "percent_change": -10.0306, "prev_day_close": 16.3499994277954}, {"option": "AMR270219C00155000", "bid": 16.6, "bid_size": 11.0, "ask": 20.9, "ask_size": 14.0, "iv": 0.555, "open_interest": 6.0, "volume": 0.0, "delta": 0.569, "gamma": 0.0086, "vega": 0.3208, "theta": -0.0837, "rho": 0.1987, "theo": 18.5361, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 43.0, "last_trade_time": "2026-09-22T12:27:04", "percent_change": 0.0, "prev_day_close": 16.7500004768372}, {"option": "AMR270219P00155000", "bid": 14.5, "bid_size": 12.0, "ask": 19.7, "ask_size": 13.0, "iv": 0.55, "open_interest": 5.0, "volume": 48.0, "delta": -0.4286, "gamma": 0.0087, "vega": 0.3212, "theta": -0.0852, "rho": -0.1966, "theo": 17.0434, "change": -2.0, "open": 17.8, "high": 17.8, "low": 17.79, "tick": "no_change", "last_trade_price": 17.8, "last_trade_time": "2026-11-09T14:25:06", "percent_change": -10.101, "prev_day_close": 19.8000001907349}, {"option": "AMR270219C00160000", "bid": 15.1, "bid_size": 15.0, "ask": 18.2, "ask_size": 11.0, "iv": 0.5562, "open_interest": 25.0, "volume": 0.0, "delta": 0.5257, "gamma": 0.0088, "vega": 0.3253, "theta": -0.0846, "rho": 0.1858, "theo": 16.2656, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.63, "last_trade_time": "2026-11-04T11:08:06", "percent_change": 0.0, "prev_day_close": 14.0499997138977}, {"option": "AMR270219P00160000", "bid": 17.7, "bid_size": 11.0, "ask": 21.7, "ask_size": 18.0, "iv": 0.5435, "open_interest": 43.0, "volume": 0.0, "delta": -0.4727, "gamma": 0.009, "vega": 0.3255, "theta": -0.0856, "rho": -0.214, "theo": 19.7316, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.73, "last_trade_time": "2026-11-03T09:44:37", "percent_change": 0.0, "prev_day_close": 22.4499998092651}, {"option": "AMR270219C00165000", "bid": 13.6, "bid_size": 26.0, "ask": 18.2, "ask_size": 13.0, "iv": 0.5927, "open_interest": 8.0, "volume": 0.0, "delta": 0.4828, "gamma": 0.0089, "vega": 0.3259, "theta": -0.0846, "rho": 0.1727, "theo": 14.2228, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.2, "last_trade_time": "2026-11-06T10:04:47", "percent_change": 0.0, "prev_day_close": 12.3000001907349}, {"option": "AMR270219P00165000", "bid": 19.7, "bid_size": 7.0, "ask": 24.7, "ask_size": 7.0, "iv": 0.5274, "open_interest": 23.0, "volume": 0.0, "delta": -0.5163, "gamma": 0.009, "vega": 0.3255, "theta": -0.085, "rho": -0.2312, "theo": 22.6512, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.5, "last_trade_time": "2026-11-03T15:00:03", "percent_change": 0.0, "prev_day_close": 25.5500001907349}, {"option": "AMR270219C00170000", "bid": 11.8, "bid_size": 23.0, "ask": 17.5, "ask_size": 13.0, "iv": 0.6082, "open_interest": 8.0, "volume": 0.0, "delta": 0.4411, "gamma": 0.0088, "vega": 0.3229, "theta": -0.0836, "rho": 0.1594, "theo": 12.3996, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.1, "last_trade_time": "2026-10-29T14:15:24", "percent_change": 0.0, "prev_day_close": 10.5}, {"option": "AMR270219P00170000", "bid": 24.3, "bid_size": 14.0, "ask": 28.3, "ask_size": 11.0, "iv": 0.5544, "open_interest": 78.0, "volume": 1.0, "delta": -0.5589, "gamma": 0.009, "vega": 0.3222, "theta": -0.0835, "rho": -0.2467, "theo": 25.7944, "change": -2.71, "open": 26.19, "high": 26.19, "low": 26.19, "tick": "up", "last_trade_price": 26.19, "last_trade_time": "2026-11-09T15:47:08", "percent_change": -9.37716, "prev_day_close": 28.8999996185303}, {"option": "AMR270219C00175000", "bid": 10.2, "bid_size": 16.0, "ask": 14.7, "ask_size": 15.0, "iv": 0.5893, "open_interest": 41.0, "volume": 0.0, "delta": 0.4011, "gamma": 0.0087, "vega": 0.3165, "theta": -0.0818, "rho": 0.1461, "theo": 10.7821, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.7, "last_trade_time": "2026-11-06T14:18:32", "percent_change": 0.0, "prev_day_close": 9.10000038146973}, {"option": "AMR270219P00175000", "bid": 27.3, "bid_size": 13.0, "ask": 32.1, "ask_size": 9.0, "iv": 0.5543, "open_interest": 20.0, "volume": 0.0, "delta": -0.6, "gamma": 0.0089, "vega": 0.3149, "theta": -0.0812, "rho": -0.26, "theo": 29.1487, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.9, "last_trade_time": "2026-10-21T13:19:38", "percent_change": 0.0, "prev_day_close": 32.1999998092651}, {"option": "AMR270219C00180000", "bid": 8.4, "bid_size": 22.0, "ask": 12.7, "ask_size": 12.0, "iv": 0.574, "open_interest": 24.0, "volume": 0.0, "delta": 0.363, "gamma": 0.0084, "vega": 0.3075, "theta": -0.0793, "rho": 0.1334, "theo": 9.3571, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.6, "last_trade_time": "2026-10-19T13:28:20", "percent_change": 0.0, "prev_day_close": 8.0}, {"option": "AMR270219P00180000", "bid": 30.3, "bid_size": 9.0, "ask": 35.7, "ask_size": 13.0, "iv": 0.5453, "open_interest": 80.0, "volume": 0.0, "delta": -0.6391, "gamma": 0.0087, "vega": 0.3049, "theta": -0.0782, "rho": -0.2711, "theo": 32.6989, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 30.0, "last_trade_time": "2026-10-29T12:43:49", "percent_change": 0.0, "prev_day_close": 35.9000015258789}, {"option": "AMR270219C00185000", "bid": 7.7, "bid_size": 22.0, "ask": 12.5, "ask_size": 13.0, "iv": 0.6009, "open_interest": 7.0, "volume": 1.0, "delta": 0.3273, "gamma": 0.0081, "vega": 0.2959, "theta": -0.0762, "rho": 0.121, "theo": 8.1081, "change": 1.0, "open": 7.9, "high": 7.9, "low": 7.9, "tick": "down", "last_trade_price": 7.9, "last_trade_time": "2026-11-09T10:56:02", "percent_change": 14.4928, "prev_day_close": 6.90000009536743}, {"option": "AMR270219P00185000", "bid": 34.4, "bid_size": 13.0, "ask": 39.5, "ask_size": 14.0, "iv": 0.5523, "open_interest": 10.0, "volume": 0.0, "delta": -0.676, "gamma": 0.0084, "vega": 0.2923, "theta": -0.0747, "rho": -0.2802, "theo": 36.4311, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 34.5, "last_trade_time": "2026-10-01T11:12:30", "percent_change": 0.0, "prev_day_close": 39.8000011444092}, {"option": "AMR270219C00190000", "bid": 5.7, "bid_size": 31.0, "ask": 9.5, "ask_size": 13.0, "iv": 0.5547, "open_interest": 22.0, "volume": 77.0, "delta": 0.2941, "gamma": 0.0078, "vega": 0.2828, "theta": -0.0728, "rho": 0.1095, "theo": 7.0187, "change": 1.65, "open": 7.6, "high": 7.6, "low": 7.6, "tick": "no_change", "last_trade_price": 7.6, "last_trade_time": "2026-11-09T15:49:11", "percent_change": 27.7311, "prev_day_close": 5.95000004768372}, {"option": "AMR270219P00190000", "bid": 38.2, "bid_size": 9.0, "ask": 43.3, "ask_size": 10.0, "iv": 0.5494, "open_interest": 34.0, "volume": 0.0, "delta": -0.7104, "gamma": 0.0081, "vega": 0.2779, "theta": -0.0707, "rho": -0.2879, "theo": 40.3267, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 47.01, "last_trade_time": "2026-11-06T11:14:24", "percent_change": 0.0, "prev_day_close": 43.6999988555908}, {"option": "AMR270219C00195000", "bid": 5.2, "bid_size": 32.0, "ask": 9.3, "ask_size": 14.0, "iv": 0.5775, "open_interest": 17.0, "volume": 1.0, "delta": 0.2636, "gamma": 0.0074, "vega": 0.268, "theta": -0.069, "rho": 0.0985, "theo": 6.0727, "change": 1.0, "open": 6.2, "high": 6.2, "low": 6.2, "tick": "down", "last_trade_price": 6.2, "last_trade_time": "2026-11-09T10:42:48", "percent_change": 19.2308, "prev_day_close": 5.20000004768372}, {"option": "AMR270219P00195000", "bid": 41.8, "bid_size": 15.0, "ask": 47.4, "ask_size": 11.0, "iv": 0.543, "open_interest": 3.0, "volume": 0.0, "delta": -0.7423, "gamma": 0.0077, "vega": 0.2616, "theta": -0.0665, "rho": -0.2914, "theo": 44.3721, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 41.0, "last_trade_time": "2026-10-30T10:39:04", "percent_change": 0.0, "prev_day_close": 47.8500003814697}, {"option": "AMR270219C00200000", "bid": 4.7, "bid_size": 24.0, "ask": 8.4, "ask_size": 12.0, "iv": 0.5848, "open_interest": 138.0, "volume": 0.0, "delta": 0.2356, "gamma": 0.0069, "vega": 0.2529, "theta": -0.0651, "rho": 0.0886, "theo": 5.2537, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.0, "last_trade_time": "2026-11-06T11:41:01", "percent_change": 0.0, "prev_day_close": 4.45000004768372}, {"option": "AMR270219P00200000", "bid": 46.0, "bid_size": 9.0, "ask": 51.5, "ask_size": 10.0, "iv": 0.543, "open_interest": 50.0, "volume": 0.0, "delta": -0.7716, "gamma": 0.0073, "vega": 0.2449, "theta": -0.062, "rho": -0.2943, "theo": 48.5479, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 46.66, "last_trade_time": "2026-10-21T09:50:28", "percent_change": 0.0, "prev_day_close": 52.75}, {"option": "AMR270219C00210000", "bid": 2.3, "bid_size": 25.0, "ask": 6.5, "ask_size": 13.0, "iv": 0.5574, "open_interest": 7076.0, "volume": 2.0, "delta": 0.1874, "gamma": 0.006, "vega": 0.2214, "theta": -0.0571, "rho": 0.071, "theo": 3.9377, "change": 0.4, "open": 3.21, "high": 3.7, "low": 3.21, "tick": "up", "last_trade_price": 3.7, "last_trade_time": "2026-11-09T12:42:06", "percent_change": 12.1212, "prev_day_close": 3.29999995231628}, {"option": "AMR270219P00210000", "bid": 54.4, "bid_size": 15.0, "ask": 60.1, "ask_size": 10.0, "iv": 0.5373, "open_interest": 7.0, "volume": 0.0, "delta": -0.8227, "gamma": 0.0065, "vega": 0.2093, "theta": -0.0531, "rho": -0.2896, "theo": 57.2383, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 50.7, "last_trade_time": "2026-09-29T10:00:03", "percent_change": 0.0, "prev_day_close": 61.3999977111816}, {"option": "AMR270219C00220000", "bid": 2.2, "bid_size": 11.0, "ask": 4.1, "ask_size": 11.0, "iv": 0.5496, "open_interest": 62.0, "volume": 0.0, "delta": 0.1486, "gamma": 0.0052, "vega": 0.1908, "theta": -0.0493, "rho": 0.0566, "theo": 2.9634, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.3, "last_trade_time": "2026-10-23T10:45:46", "percent_change": 0.0, "prev_day_close": 2.07499998807907}, {"option": "AMR270219P00220000", "bid": 63.4, "bid_size": 9.0, "ask": 69.3, "ask_size": 14.0, "iv": 0.5433, "open_interest": 3.0, "volume": 0.0, "delta": -0.8647, "gamma": 0.0056, "vega": 0.1747, "theta": -0.0445, "rho": -0.275, "theo": 66.29, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 61.5, "last_trade_time": "2026-10-01T11:13:27", "percent_change": 0.0, "prev_day_close": 70.3999977111816}, {"option": "AMR270219C00230000", "bid": 1.6, "bid_size": 13.0, "ask": 6.5, "ask_size": 11.0, "iv": 0.6422, "open_interest": 8.0, "volume": 0.0, "delta": 0.1177, "gamma": 0.0044, "vega": 0.1626, "theta": -0.0422, "rho": 0.0449, "theo": 2.2439, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.2, "last_trade_time": "2026-11-02T09:46:15", "percent_change": 0.0, "prev_day_close": 3.20000010728836}, {"option": "AMR270219P00230000", "bid": 72.1, "bid_size": 12.0, "ask": 78.4, "ask_size": 12.0, "iv": 0.5153, "open_interest": 4.0, "volume": 0.0, "delta": -0.8988, "gamma": 0.0049, "vega": 0.1406, "theta": -0.0364, "rho": -0.2511, "theo": 75.616, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 87.56, "last_trade_time": "2026-11-05T13:19:36", "percent_change": 0.0, "prev_day_close": 79.6499977111816}, {"option": "AMR270219C00240000", "bid": 0.05, "bid_size": 33.0, "ask": 2.7, "ask_size": 17.0, "iv": 0.5222, "open_interest": 32.0, "volume": 0.0, "delta": 0.0934, "gamma": 0.0037, "vega": 0.1377, "theta": -0.036, "rho": 0.0357, "theo": 1.7118, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.53, "last_trade_time": "2026-10-23T10:41:01", "percent_change": 0.0, "prev_day_close": 2.34999990463257}, {"option": "AMR270219P00240000", "bid": 82.5, "bid_size": 14.0, "ask": 88.1, "ask_size": 15.0, "iv": 0.5626, "open_interest": 17.0, "volume": 0.0, "delta": -0.9262, "gamma": 0.0042, "vega": 0.1082, "theta": -0.0289, "rho": -0.2093, "theo": 85.145, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 37.7, "last_trade_time": "2026-09-01T12:00:51", "percent_change": 0.0, "prev_day_close": 89.7999992370606}, {"option": "AMR270219C00250000", "bid": 0.6, "bid_size": 22.0, "ask": 2.25, "ask_size": 21.0, "iv": 0.563, "open_interest": 91.0, "volume": 2.0, "delta": 0.0744, "gamma": 0.0031, "vega": 0.1162, "theta": -0.0305, "rho": 0.0286, "theo": 1.3172, "change": 0.3, "open": 1.16, "high": 1.35, "low": 1.16, "tick": "up", "last_trade_price": 1.35, "last_trade_time": "2026-11-09T11:58:18", "percent_change": 28.5714, "prev_day_close": 1.04999998211861}, {"option": "AMR270219P00250000", "bid": 92.1, "bid_size": 7.0, "ask": 97.8, "ask_size": 15.0, "iv": 0.5683, "open_interest": 6.0, "volume": 0.0, "delta": -0.9488, "gamma": 0.0037, "vega": 0.0831, "theta": -0.0236, "rho": -0.179, "theo": 94.8266, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 44.5, "last_trade_time": "2026-08-31T13:25:56", "percent_change": 0.0, "prev_day_close": 99.6999969482422}, {"option": "AMR270219C00260000", "bid": 0.0, "bid_size": 0.0, "ask": 1.75, "ask_size": 13.0, "iv": 0.5431, "open_interest": 20.0, "volume": 0.0, "delta": 0.0595, "gamma": 0.0026, "vega": 0.0978, "theta": -0.0258, "rho": 0.0229, "theo": 1.0228, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.8, "last_trade_time": "2026-09-30T11:57:23", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270219P00260000", "bid": 101.3, "bid_size": 6.0, "ask": 107.5, "ask_size": 5.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.967, "gamma": 0.0032, "vega": 0.0549, "theta": -0.0163, "rho": -0.1343, "theo": 104.6283, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 50.8, "last_trade_time": "2026-08-31T13:25:56", "percent_change": 0.0, "prev_day_close": 110.599998474121}, {"option": "AMR270219C00270000", "bid": 0.0, "bid_size": 0.0, "ask": 2.35, "ask_size": 6.0, "iv": 0.6066, "open_interest": 7.0, "volume": 0.0, "delta": 0.0479, "gamma": 0.0021, "vega": 0.0824, "theta": -0.0219, "rho": 0.0184, "theo": 0.8013, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.25, "last_trade_time": "2026-11-02T14:22:35", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270219P00270000", "bid": 109.6, "bid_size": 8.0, "ask": 118.5, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9824, "gamma": 0.0029, "vega": 0.0327, "theta": -0.0134, "rho": -0.0723, "theo": 114.5115, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 119.899997711182}, {"option": "AMR270219C00280000", "bid": 0.0, "bid_size": 0.0, "ask": 2.15, "ask_size": 8.0, "iv": 0.6265, "open_interest": 7.0, "volume": 0.0, "delta": 0.0388, "gamma": 0.0018, "vega": 0.0696, "theta": -0.0186, "rho": 0.0149, "theo": 0.6337, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-11-03T11:44:43", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270219P00280000", "bid": 120.0, "bid_size": 8.0, "ask": 127.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9921, "gamma": 0.0018, "vega": 0.0088, "theta": -0.0128, "rho": 0.0, "theo": 124.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 114.5, "last_trade_time": "2026-08-17T11:44:45", "percent_change": 0.0, "prev_day_close": 130.049995422363}, {"option": "AMR270219C00290000", "bid": 0.0, "bid_size": 0.0, "ask": 1.7, "ask_size": 10.0, "iv": 0.6284, "open_interest": 4.0, "volume": 0.0, "delta": 0.0316, "gamma": 0.0015, "vega": 0.0588, "theta": -0.0158, "rho": 0.0121, "theo": 0.5057, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.14, "last_trade_time": "2026-10-05T12:45:30", "percent_change": 0.0, "prev_day_close": 1.02499997615814}, {"option": "AMR270219P00290000", "bid": 130.0, "bid_size": 8.0, "ask": 137.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9979, "gamma": 0.0005, "vega": 0.0, "theta": -0.0128, "rho": 0.0, "theo": 134.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 140.0}, {"option": "AMR270219C00300000", "bid": 0.0, "bid_size": 0.0, "ask": 2.1, "ask_size": 16.0, "iv": 0.6798, "open_interest": 57.0, "volume": 0.0, "delta": 0.0259, "gamma": 0.0012, "vega": 0.0499, "theta": -0.0135, "rho": 0.01, "theo": 0.4071, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.66, "last_trade_time": "2026-11-04T14:31:20", "percent_change": 0.0, "prev_day_close": 0.725000023841858}, {"option": "AMR270219P00300000", "bid": 140.0, "bid_size": 8.0, "ask": 147.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0128, "rho": 0.0, "theo": 144.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 150.049995422363}, {"option": "AMR270219C00310000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 25.0, "iv": 0.8336, "open_interest": 0.0, "volume": 0.0, "delta": 0.0214, "gamma": 0.001, "vega": 0.0424, "theta": -0.0116, "rho": 0.0082, "theo": 0.3304, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.675000011920929}, {"option": "AMR270219P00310000", "bid": 150.0, "bid_size": 8.0, "ask": 157.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0128, "rho": 0.0, "theo": 154.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 159.849998474121}, {"option": "AMR270219C00320000", "bid": 0.0, "bid_size": 0.0, "ask": 4.9, "ask_size": 29.0, "iv": 0.8612, "open_interest": 8.0, "volume": 0.0, "delta": 0.0177, "gamma": 0.0009, "vega": 0.0362, "theta": -0.01, "rho": 0.0068, "theo": 0.2704, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 2.0, "last_trade_time": "2026-10-12T15:57:04", "percent_change": 0.0, "prev_day_close": 0.625}, {"option": "AMR270219P00320000", "bid": 160.0, "bid_size": 8.0, "ask": 167.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0128, "rho": 0.0, "theo": 164.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 169.799995422363}, {"option": "AMR270219C00330000", "bid": 0.0, "bid_size": 0.0, "ask": 3.2, "ask_size": 11.0, "iv": 0.8149, "open_interest": 26.0, "volume": 0.0, "delta": 0.0148, "gamma": 0.0008, "vega": 0.0311, "theta": -0.0086, "rho": 0.0057, "theo": 0.2229, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 2.1, "last_trade_time": "2026-10-02T10:26:55", "percent_change": 0.0, "prev_day_close": 0.600000023841858}, {"option": "AMR270219P00330000", "bid": 170.0, "bid_size": 8.0, "ask": 177.7, "ask_size": 8.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0128, "rho": 0.0, "theo": 174.47, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 106.0, "last_trade_time": "2026-09-01T14:46:01", "percent_change": 0.0, "prev_day_close": 179.650001525879}, {"option": "AMR270521C00080000", "bid": 76.0, "bid_size": 7.0, "ask": 83.0, "ask_size": 7.0, "iv": 0.7608, "open_interest": 0.0, "volume": 0.0, "delta": 0.9499, "gamma": 0.0013, "vega": 0.1054, "theta": -0.0077, "rho": 0.3582, "theo": 77.899, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 74.1999969482422}, {"option": "AMR270521P00080000", "bid": 0.0, "bid_size": 0.0, "ask": 4.2, "ask_size": 5.0, "iv": 0.6853, "open_interest": 1.0, "volume": 0.0, "delta": -0.0437, "gamma": 0.0013, "vega": 0.1052, "theta": -0.0168, "rho": -0.0408, "theo": 1.5053, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-11-05T12:08:32", "percent_change": 0.0, "prev_day_close": 2.45000004768372}, {"option": "AMR270521C00085000", "bid": 71.5, "bid_size": 6.0, "ask": 78.2, "ask_size": 6.0, "iv": 0.72, "open_interest": 0.0, "volume": 0.0, "delta": 0.9378, "gamma": 0.0016, "vega": 0.1277, "theta": -0.0116, "rho": 0.3749, "theo": 73.4961, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 69.7999992370606}, {"option": "AMR270521P00085000", "bid": 0.05, "bid_size": 9.0, "ask": 5.2, "ask_size": 5.0, "iv": 0.6724, "open_interest": 5.0, "volume": 0.0, "delta": -0.0557, "gamma": 0.0016, "vega": 0.1278, "theta": -0.0202, "rho": -0.0522, "theo": 1.986, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.74, "last_trade_time": "2026-10-22T09:30:44", "percent_change": 0.0, "prev_day_close": 2.70000000298023}, {"option": "AMR270521C00090000", "bid": 67.1, "bid_size": 7.0, "ask": 74.0, "ask_size": 6.0, "iv": 0.7002, "open_interest": 0.0, "volume": 0.0, "delta": 0.9238, "gamma": 0.0019, "vega": 0.1518, "theta": -0.0158, "rho": 0.3887, "theo": 69.1983, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 65.6000003814697}, {"option": "AMR270521P00090000", "bid": 0.05, "bid_size": 9.0, "ask": 5.2, "ask_size": 7.0, "iv": 0.6215, "open_interest": 2.0, "volume": 0.0, "delta": -0.0698, "gamma": 0.0019, "vega": 0.1523, "theta": -0.0238, "rho": -0.0653, "theo": 2.5713, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.32, "last_trade_time": "2026-10-30T12:55:40", "percent_change": 0.0, "prev_day_close": 3.22500004805624}, {"option": "AMR270521C00095000", "bid": 62.9, "bid_size": 6.0, "ask": 70.0, "ask_size": 11.0, "iv": 0.6876, "open_interest": 0.0, "volume": 0.0, "delta": 0.9079, "gamma": 0.0022, "vega": 0.1772, "theta": -0.0201, "rho": 0.3996, "theo": 65.0174, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 61.3500022888184}, {"option": "AMR270521P00095000", "bid": 1.5, "bid_size": 11.0, "ask": 4.8, "ask_size": 6.0, "iv": 0.6044, "open_interest": 0.0, "volume": 0.0, "delta": -0.0858, "gamma": 0.0023, "vega": 0.1778, "theta": -0.0276, "rho": -0.0804, "theo": 3.274, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.05, "last_trade_time": "2026-10-30T12:55:40", "percent_change": 0.0, "prev_day_close": 3.59999990463257}, {"option": "AMR270521C00100000", "bid": 58.7, "bid_size": 6.0, "ask": 65.8, "ask_size": 12.0, "iv": 0.6665, "open_interest": 0.0, "volume": 0.0, "delta": 0.8899, "gamma": 0.0026, "vega": 0.2038, "theta": -0.0245, "rho": 0.4075, "theo": 60.9637, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 57.0499992370606}, {"option": "AMR270521P00100000", "bid": 2.45, "bid_size": 5.0, "ask": 5.2, "ask_size": 7.0, "iv": 0.5918, "open_interest": 7.0, "volume": 0.0, "delta": -0.104, "gamma": 0.0026, "vega": 0.2048, "theta": -0.0316, "rho": -0.0975, "theo": 4.1052, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-11-05T15:03:50", "percent_change": 0.0, "prev_day_close": 4.94999992847443}, {"option": "AMR270521C00105000", "bid": 54.6, "bid_size": 11.0, "ask": 61.7, "ask_size": 6.0, "iv": 0.6472, "open_interest": 0.0, "volume": 0.0, "delta": 0.87, "gamma": 0.003, "vega": 0.2307, "theta": -0.0289, "rho": 0.4131, "theo": 57.0475, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 52.5499992370606}, {"option": "AMR270521P00105000", "bid": 1.5, "bid_size": 10.0, "ask": 8.3, "ask_size": 5.0, "iv": 0.5929, "open_interest": 0.0, "volume": 0.0, "delta": -0.1241, "gamma": 0.003, "vega": 0.2319, "theta": -0.0355, "rho": -0.1162, "theo": 5.0743, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.50000011920929}, {"option": "AMR270521C00110000", "bid": 50.8, "bid_size": 11.0, "ask": 57.8, "ask_size": 11.0, "iv": 0.6348, "open_interest": 0.0, "volume": 0.0, "delta": 0.8483, "gamma": 0.0034, "vega": 0.2579, "theta": -0.0333, "rho": 0.4158, "theo": 53.2777, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 49.3499984741211}, {"option": "AMR270521P00110000", "bid": 4.4, "bid_size": 10.0, "ask": 7.5, "ask_size": 6.0, "iv": 0.5862, "open_interest": 2.0, "volume": 0.0, "delta": -0.1461, "gamma": 0.0034, "vega": 0.2594, "theta": -0.0394, "rho": -0.137, "theo": 6.1927, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.3, "last_trade_time": "2026-10-28T13:51:42", "percent_change": 0.0, "prev_day_close": 5.45000004768372}, {"option": "AMR270521C00115000", "bid": 47.3, "bid_size": 7.0, "ask": 53.8, "ask_size": 6.0, "iv": 0.6223, "open_interest": 0.0, "volume": 0.0, "delta": 0.8248, "gamma": 0.0037, "vega": 0.2843, "theta": -0.0376, "rho": 0.4162, "theo": 49.6614, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.7999992370606}, {"option": "AMR270521P00115000", "bid": 5.3, "bid_size": 11.0, "ask": 9.9, "ask_size": 7.0, "iv": 0.596, "open_interest": 5.0, "volume": 0.0, "delta": -0.1699, "gamma": 0.0038, "vega": 0.2864, "theta": -0.0432, "rho": -0.1586, "theo": 7.4657, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.18, "last_trade_time": "2026-10-23T09:55:06", "percent_change": 0.0, "prev_day_close": 8.25}, {"option": "AMR270521C00120000", "bid": 43.8, "bid_size": 11.0, "ask": 50.8, "ask_size": 11.0, "iv": 0.6224, "open_interest": 0.0, "volume": 0.0, "delta": 0.7998, "gamma": 0.0041, "vega": 0.31, "theta": -0.0416, "rho": 0.4141, "theo": 46.2057, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.5}, {"option": "AMR270521P00120000", "bid": 5.5, "bid_size": 6.0, "ask": 10.6, "ask_size": 11.0, "iv": 0.5597, "open_interest": 3.0, "volume": 0.0, "delta": -0.1953, "gamma": 0.0042, "vega": 0.3119, "theta": -0.0468, "rho": -0.1824, "theo": 8.9028, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-11-05T10:48:28", "percent_change": 0.0, "prev_day_close": 9.69999980926514}, {"option": "AMR270521C00125000", "bid": 40.6, "bid_size": 7.0, "ask": 47.0, "ask_size": 11.0, "iv": 0.6102, "open_interest": 400.0, "volume": 0.0, "delta": 0.7734, "gamma": 0.0044, "vega": 0.3342, "theta": -0.0454, "rho": 0.4101, "theo": 42.9141, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 56.83, "last_trade_time": "2026-09-30T09:30:11", "percent_change": 0.0, "prev_day_close": 38.9500007629394}, {"option": "AMR270521P00125000", "bid": 8.0, "bid_size": 5.0, "ask": 12.6, "ask_size": 6.0, "iv": 0.5776, "open_interest": 4.0, "volume": 0.0, "delta": -0.2222, "gamma": 0.0045, "vega": 0.3365, "theta": -0.0502, "rho": -0.2068, "theo": 10.506, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.7, "last_trade_time": "2026-11-04T15:04:07", "percent_change": 0.0, "prev_day_close": 11.5}, {"option": "AMR270521C00130000", "bid": 37.3, "bid_size": 11.0, "ask": 44.1, "ask_size": 5.0, "iv": 0.606, "open_interest": 1.0, "volume": 0.0, "delta": 0.7458, "gamma": 0.0048, "vega": 0.3566, "theta": -0.049, "rho": 0.4039, "theo": 39.791, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.35, "last_trade_time": "2026-11-05T13:51:26", "percent_change": 0.0, "prev_day_close": 35.9000015258789}, {"option": "AMR270521P00130000", "bid": 8.9, "bid_size": 5.0, "ask": 14.4, "ask_size": 7.0, "iv": 0.5629, "open_interest": 6.0, "volume": 0.0, "delta": -0.2503, "gamma": 0.0049, "vega": 0.3587, "theta": -0.0533, "rho": -0.2326, "theo": 12.2815, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.38, "last_trade_time": "2026-10-08T12:36:08", "percent_change": 0.0, "prev_day_close": 13.5500001907349}, {"option": "AMR270521C00135000", "bid": 34.3, "bid_size": 8.0, "ask": 41.6, "ask_size": 12.0, "iv": 0.6071, "open_interest": 0.0, "volume": 0.0, "delta": 0.7173, "gamma": 0.0051, "vega": 0.3769, "theta": -0.0521, "rho": 0.3962, "theo": 36.8362, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 33.6499996185303}, {"option": "AMR270521P00135000", "bid": 10.7, "bid_size": 10.0, "ask": 17.0, "ask_size": 7.0, "iv": 0.5676, "open_interest": 7.0, "volume": 0.0, "delta": -0.2794, "gamma": 0.0052, "vega": 0.3793, "theta": -0.0561, "rho": -0.2583, "theo": 14.2283, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.45, "last_trade_time": "2026-11-04T11:48:07", "percent_change": 0.0, "prev_day_close": 14.9499998092651}, {"option": "AMR270521C00140000", "bid": 31.4, "bid_size": 6.0, "ask": 38.1, "ask_size": 7.0, "iv": 0.5927, "open_interest": 0.0, "volume": 0.0, "delta": 0.6881, "gamma": 0.0053, "vega": 0.3949, "theta": -0.0549, "rho": 0.3867, "theo": 34.0516, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.6999988555908}, {"option": "AMR270521P00140000", "bid": 13.4, "bid_size": 11.0, "ask": 18.8, "ask_size": 11.0, "iv": 0.5687, "open_interest": 8.0, "volume": 0.0, "delta": -0.3093, "gamma": 0.0055, "vega": 0.397, "theta": -0.0584, "rho": -0.2852, "theo": 16.3495, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.5, "last_trade_time": "2026-11-05T14:21:40", "percent_change": 0.0, "prev_day_close": 17.8999996185303}, {"option": "AMR270521C00145000", "bid": 28.8, "bid_size": 7.0, "ask": 34.7, "ask_size": 7.0, "iv": 0.5803, "open_interest": 0.0, "volume": 0.0, "delta": 0.6585, "gamma": 0.0056, "vega": 0.4103, "theta": -0.0573, "rho": 0.3763, "theo": 31.4339, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.3500003814697}, {"option": "AMR270521P00145000", "bid": 15.4, "bid_size": 18.0, "ask": 21.1, "ask_size": 7.0, "iv": 0.5632, "open_interest": 6.0, "volume": 0.0, "delta": -0.3398, "gamma": 0.0057, "vega": 0.4123, "theta": -0.0605, "rho": -0.3103, "theo": 18.641, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.79, "last_trade_time": "2026-11-06T10:22:53", "percent_change": 0.0, "prev_day_close": 20.0999994277954}, {"option": "AMR270521C00150000", "bid": 26.4, "bid_size": 7.0, "ask": 31.5, "ask_size": 6.0, "iv": 0.5698, "open_interest": 10.0, "volume": 0.0, "delta": 0.6286, "gamma": 0.0058, "vega": 0.4231, "theta": -0.0593, "rho": 0.3643, "theo": 28.9818, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.55, "last_trade_time": "2026-10-30T15:18:25", "percent_change": 0.0, "prev_day_close": 26.1500005722046}, {"option": "AMR270521P00150000", "bid": 17.4, "bid_size": 11.0, "ask": 23.6, "ask_size": 7.0, "iv": 0.5563, "open_interest": 16.0, "volume": 0.0, "delta": -0.3705, "gamma": 0.0059, "vega": 0.4248, "theta": -0.062, "rho": -0.3381, "theo": 21.1037, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.22, "last_trade_time": "2026-11-03T14:44:17", "percent_change": 0.0, "prev_day_close": 23.0}, {"option": "AMR270521C00155000", "bid": 23.8, "bid_size": 10.0, "ask": 29.3, "ask_size": 8.0, "iv": 0.5654, "open_interest": 6.0, "volume": 0.0, "delta": 0.5987, "gamma": 0.0059, "vega": 0.4332, "theta": -0.0609, "rho": 0.3519, "theo": 26.6906, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.0, "last_trade_time": "2026-10-26T12:55:12", "percent_change": 0.0, "prev_day_close": 24.0500001907349}, {"option": "AMR270521P00155000", "bid": 20.2, "bid_size": 8.0, "ask": 26.2, "ask_size": 15.0, "iv": 0.5565, "open_interest": 5.0, "volume": 0.0, "delta": -0.4014, "gamma": 0.0061, "vega": 0.4344, "theta": -0.0632, "rho": -0.3624, "theo": 23.7306, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 28.97, "last_trade_time": "2026-11-05T14:40:48", "percent_change": 0.0, "prev_day_close": 25.8500003814697}, {"option": "AMR270521C00160000", "bid": 22.7, "bid_size": 11.0, "ask": 26.9, "ask_size": 10.0, "iv": 0.5726, "open_interest": 516.0, "volume": 1.0, "delta": 0.569, "gamma": 0.006, "vega": 0.4406, "theta": -0.062, "rho": 0.3384, "theo": 24.5553, "change": 3.14, "open": 25.59, "high": 25.59, "low": 25.59, "tick": "up", "last_trade_price": 25.59, "last_trade_time": "2026-11-09T10:38:04", "percent_change": 13.9866, "prev_day_close": 22.4499998092651}, {"option": "AMR270521P00160000", "bid": 22.7, "bid_size": 18.0, "ask": 29.1, "ask_size": 15.0, "iv": 0.553, "open_interest": 6.0, "volume": 0.0, "delta": -0.4321, "gamma": 0.0063, "vega": 0.4413, "theta": -0.0641, "rho": -0.3885, "theo": 26.5207, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.26, "last_trade_time": "2026-11-04T10:25:15", "percent_change": 0.0, "prev_day_close": 28.6500005722046}, {"option": "AMR270521C00165000", "bid": 19.5, "bid_size": 14.0, "ask": 25.4, "ask_size": 17.0, "iv": 0.5629, "open_interest": 10.0, "volume": 0.0, "delta": 0.5396, "gamma": 0.0061, "vega": 0.4454, "theta": -0.0628, "rho": 0.3248, "theo": 22.5712, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.8, "last_trade_time": "2026-11-05T10:50:45", "percent_change": 0.0, "prev_day_close": 20.3000001907349}, {"option": "AMR270521P00165000", "bid": 25.8, "bid_size": 17.0, "ask": 32.2, "ask_size": 15.0, "iv": 0.5552, "open_interest": 5.0, "volume": 0.0, "delta": -0.4625, "gamma": 0.0064, "vega": 0.4454, "theta": -0.0645, "rho": -0.4101, "theo": 29.4641, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.72, "last_trade_time": "2026-11-05T11:22:47", "percent_change": 0.0, "prev_day_close": 32.0999994277954}, {"option": "AMR270521C00170000", "bid": 18.2, "bid_size": 18.0, "ask": 23.6, "ask_size": 13.0, "iv": 0.5682, "open_interest": 37.0, "volume": 0.0, "delta": 0.5108, "gamma": 0.0062, "vega": 0.4477, "theta": -0.0632, "rho": 0.3106, "theo": 20.7302, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.85, "last_trade_time": "2026-11-05T15:12:36", "percent_change": 0.0, "prev_day_close": 19.3500003814697}, {"option": "AMR270521P00170000", "bid": 30.3, "bid_size": 11.0, "ask": 35.1, "ask_size": 6.0, "iv": 0.5675, "open_interest": 3.0, "volume": 1.0, "delta": -0.4925, "gamma": 0.0064, "vega": 0.4468, "theta": -0.0646, "rho": -0.4335, "theo": 32.5593, "change": -2.23, "open": 32.72, "high": 32.72, "low": 32.72, "tick": "up", "last_trade_price": 32.72, "last_trade_time": "2026-11-09T15:47:08", "percent_change": -6.38055, "prev_day_close": 34.9500007629394}, {"option": "AMR270521C00175000", "bid": 17.8, "bid_size": 14.0, "ask": 21.0, "ask_size": 18.0, "iv": 0.5716, "open_interest": 8.0, "volume": 0.0, "delta": 0.4827, "gamma": 0.0062, "vega": 0.4477, "theta": -0.0633, "rho": 0.2962, "theo": 19.0276, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.3, "last_trade_time": "2026-11-04T11:52:59", "percent_change": 0.0, "prev_day_close": 17.75}, {"option": "AMR270521P00175000", "bid": 33.1, "bid_size": 10.0, "ask": 38.6, "ask_size": 13.0, "iv": 0.5646, "open_interest": 4.0, "volume": 0.0, "delta": -0.5218, "gamma": 0.0065, "vega": 0.4458, "theta": -0.0643, "rho": -0.4548, "theo": 35.7959, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.77, "last_trade_time": "2026-10-13T09:36:04", "percent_change": 0.0, "prev_day_close": 38.4499988555908}, {"option": "AMR270521C00180000", "bid": 15.3, "bid_size": 8.0, "ask": 20.8, "ask_size": 7.0, "iv": 0.5758, "open_interest": 6.0, "volume": 0.0, "delta": 0.4554, "gamma": 0.0062, "vega": 0.4456, "theta": -0.063, "rho": 0.2821, "theo": 17.4545, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.2, "last_trade_time": "2026-11-06T14:59:56", "percent_change": 0.0, "prev_day_close": 15.8499999046326}, {"option": "AMR270521P00180000", "bid": 35.5, "bid_size": 10.0, "ask": 42.0, "ask_size": 11.0, "iv": 0.553, "open_interest": 26.0, "volume": 0.0, "delta": -0.5505, "gamma": 0.0065, "vega": 0.4423, "theta": -0.0637, "rho": -0.4709, "theo": 39.1684, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.98, "last_trade_time": "2026-10-30T13:26:42", "percent_change": 0.0, "prev_day_close": 41.8000011444092}, {"option": "AMR270521C00185000", "bid": 13.4, "bid_size": 7.0, "ask": 18.9, "ask_size": 7.0, "iv": 0.565, "open_interest": 3.0, "volume": 0.0, "delta": 0.429, "gamma": 0.0061, "vega": 0.4414, "theta": -0.0625, "rho": 0.2677, "theo": 16.0041, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.5, "last_trade_time": "2026-09-24T12:35:04", "percent_change": 0.0, "prev_day_close": 14.9500002861023}, {"option": "AMR270521P00185000", "bid": 38.3, "bid_size": 12.0, "ask": 45.4, "ask_size": 7.0, "iv": 0.5428, "open_interest": 0.0, "volume": 0.0, "delta": -0.5783, "gamma": 0.0064, "vega": 0.4368, "theta": -0.0628, "rho": -0.4907, "theo": 42.6718, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.6499996185303}, {"option": "AMR270521C00190000", "bid": 11.2, "bid_size": 7.0, "ask": 18.3, "ask_size": 7.0, "iv": 0.563, "open_interest": 7.0, "volume": 0.0, "delta": 0.4036, "gamma": 0.006, "vega": 0.4356, "theta": -0.0617, "rho": 0.2538, "theo": 14.6697, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.5, "last_trade_time": "2026-11-02T15:12:29", "percent_change": 0.0, "prev_day_close": 14.5499997138977}, {"option": "AMR270521P00190000", "bid": 43.0, "bid_size": 6.0, "ask": 49.0, "ask_size": 7.0, "iv": 0.5543, "open_interest": 35.0, "volume": 0.0, "delta": -0.6052, "gamma": 0.0064, "vega": 0.4292, "theta": -0.0617, "rho": -0.5038, "theo": 46.2935, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 43.5, "last_trade_time": "2026-10-29T13:37:22", "percent_change": 0.0, "prev_day_close": 49.3500003814697}, {"option": "AMR270521C00195000", "bid": 12.0, "bid_size": 11.0, "ask": 16.2, "ask_size": 11.0, "iv": 0.576, "open_interest": 3.0, "volume": 0.0, "delta": 0.3792, "gamma": 0.0059, "vega": 0.4284, "theta": -0.0606, "rho": 0.2402, "theo": 13.4423, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.2, "last_trade_time": "2026-10-19T14:32:43", "percent_change": 0.0, "prev_day_close": 12.75}, {"option": "AMR270521P00195000", "bid": 45.7, "bid_size": 11.0, "ask": 52.7, "ask_size": 7.0, "iv": 0.5406, "open_interest": 3.0, "volume": 0.0, "delta": -0.6312, "gamma": 0.0063, "vega": 0.4189, "theta": -0.0604, "rho": -0.5135, "theo": 50.0324, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 55.65, "last_trade_time": "2026-11-05T11:54:52", "percent_change": 0.0, "prev_day_close": 52.6999988555908}, {"option": "AMR270521C00200000", "bid": 10.4, "bid_size": 7.0, "ask": 15.5, "ask_size": 11.0, "iv": 0.5754, "open_interest": 5.0, "volume": 0.0, "delta": 0.3559, "gamma": 0.0058, "vega": 0.4195, "theta": -0.0594, "rho": 0.2267, "theo": 12.316, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.98, "last_trade_time": "2026-10-30T15:33:52", "percent_change": 0.0, "prev_day_close": 11.4500002861023}, {"option": "AMR270521P00200000", "bid": 49.8, "bid_size": 2.0, "ask": 56.5, "ask_size": 7.0, "iv": 0.5424, "open_interest": 0.0, "volume": 0.0, "delta": -0.6561, "gamma": 0.0062, "vega": 0.4095, "theta": -0.0589, "rho": -0.5295, "theo": 53.8767, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 56.6499996185303}, {"option": "AMR270521C00210000", "bid": 9.2, "bid_size": 13.0, "ask": 12.8, "ask_size": 19.0, "iv": 0.5766, "open_interest": 7.0, "volume": 0.0, "delta": 0.3126, "gamma": 0.0055, "vega": 0.3991, "theta": -0.0566, "rho": 0.2015, "theo": 10.337, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.72, "last_trade_time": "2026-11-06T09:56:57", "percent_change": 0.0, "prev_day_close": 10.2999997138977}, {"option": "AMR270521P00210000", "bid": 57.5, "bid_size": 10.0, "ask": 64.4, "ask_size": 7.0, "iv": 0.5358, "open_interest": 0.0, "volume": 0.0, "delta": -0.703, "gamma": 0.006, "vega": 0.3819, "theta": -0.0555, "rho": -0.5362, "theo": 61.86, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 65.4000015258789}, {"option": "AMR270521C00220000", "bid": 7.0, "bid_size": 11.0, "ask": 11.4, "ask_size": 11.0, "iv": 0.5739, "open_interest": 5.0, "volume": 0.0, "delta": 0.2737, "gamma": 0.0052, "vega": 0.3754, "theta": -0.0532, "rho": 0.1781, "theo": 8.6793, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.46, "last_trade_time": "2026-11-04T10:25:15", "percent_change": 0.0, "prev_day_close": 8.75}, {"option": "AMR270521P00220000", "bid": 65.6, "bid_size": 11.0, "ask": 72.7, "ask_size": 7.0, "iv": 0.5296, "open_interest": 20.0, "volume": 0.0, "delta": -0.7456, "gamma": 0.0058, "vega": 0.3532, "theta": -0.0517, "rho": -0.5376, "theo": 70.1873, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 73.63, "last_trade_time": "2026-11-04T09:49:46", "percent_change": 0.0, "prev_day_close": 73.8500022888184}, {"option": "AMR270521C00230000", "bid": 5.8, "bid_size": 11.0, "ask": 9.7, "ask_size": 7.0, "iv": 0.5734, "open_interest": 12.0, "volume": 0.0, "delta": 0.2391, "gamma": 0.0048, "vega": 0.3501, "theta": -0.0497, "rho": 0.1568, "theo": 7.293, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.4, "last_trade_time": "2026-11-06T14:34:05", "percent_change": 0.0, "prev_day_close": 6.54999995231628}, {"option": "AMR270521P00230000", "bid": 74.0, "bid_size": 11.0, "ask": 81.0, "ask_size": 7.0, "iv": 0.5167, "open_interest": 0.0, "volume": 0.0, "delta": -0.7841, "gamma": 0.0055, "vega": 0.3216, "theta": -0.0475, "rho": -0.536, "theo": 78.8171, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 82.4000015258789}, {"option": "AMR270521C00240000", "bid": 5.0, "bid_size": 12.0, "ask": 8.5, "ask_size": 11.0, "iv": 0.5799, "open_interest": 6.0, "volume": 0.0, "delta": 0.2086, "gamma": 0.0045, "vega": 0.3243, "theta": -0.046, "rho": 0.1379, "theo": 6.137, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.65, "last_trade_time": "2026-11-06T09:56:57", "percent_change": 0.0, "prev_day_close": 6.34999990463257}, {"option": "AMR270521P00240000", "bid": 83.1, "bid_size": 2.0, "ask": 90.2, "ask_size": 7.0, "iv": 0.5216, "open_interest": 0.0, "volume": 0.0, "delta": -0.8189, "gamma": 0.0052, "vega": 0.2848, "theta": -0.0434, "rho": -0.5084, "theo": 87.702, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 91.5499992370606}, {"option": "AMR270521C00250000", "bid": 3.8, "bid_size": 7.0, "ask": 7.1, "ask_size": 2.0, "iv": 0.5713, "open_interest": 7.0, "volume": 0.0, "delta": 0.1818, "gamma": 0.0041, "vega": 0.2983, "theta": -0.0424, "rho": 0.1208, "theo": 5.1727, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-10-28T10:35:21", "percent_change": 0.0, "prev_day_close": 5.69999992847443}, {"option": "AMR270521P00250000", "bid": 92.3, "bid_size": 11.0, "ask": 99.4, "ask_size": 7.0, "iv": 0.5197, "open_interest": 0.0, "volume": 0.0, "delta": -0.8501, "gamma": 0.0049, "vega": 0.2532, "theta": -0.0394, "rho": -0.4871, "theo": 96.8016, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 100.850002288818}, {"option": "AMR270521C00260000", "bid": 3.6, "bid_size": 7.0, "ask": 5.3, "ask_size": 8.0, "iv": 0.5661, "open_interest": 5.0, "volume": 0.0, "delta": 0.1584, "gamma": 0.0038, "vega": 0.2735, "theta": -0.0388, "rho": 0.1059, "theo": 4.3692, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.8, "last_trade_time": "2026-11-06T13:13:34", "percent_change": 0.0, "prev_day_close": 4.80000007152557}, {"option": "AMR270521P00260000", "bid": 101.1, "bid_size": 5.0, "ask": 108.7, "ask_size": 7.0, "iv": 0.4928, "open_interest": 0.0, "volume": 0.0, "delta": -0.878, "gamma": 0.0046, "vega": 0.2147, "theta": -0.0352, "rho": -0.445, "theo": 106.0945, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 110.099998474121}, {"option": "AMR270521C00270000", "bid": 1.1, "bid_size": 7.0, "ask": 5.3, "ask_size": 10.0, "iv": 0.5435, "open_interest": 8.0, "volume": 0.0, "delta": 0.1381, "gamma": 0.0034, "vega": 0.2494, "theta": -0.0355, "rho": 0.0926, "theo": 3.6987, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.2, "last_trade_time": "2026-10-26T12:59:31", "percent_change": 0.0, "prev_day_close": 3.7250000834465}, {"option": "AMR270521P00270000", "bid": 111.3, "bid_size": 5.0, "ask": 118.2, "ask_size": 5.0, "iv": 0.5071, "open_interest": 0.0, "volume": 0.0, "delta": -0.9034, "gamma": 0.0043, "vega": 0.1814, "theta": -0.0319, "rho": -0.3942, "theo": 115.5387, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 120.200000762939}, {"option": "AMR270521C00280000", "bid": 1.95, "bid_size": 6.0, "ask": 6.7, "ask_size": 8.0, "iv": 0.6151, "open_interest": 25.0, "volume": 0.0, "delta": 0.1204, "gamma": 0.0031, "vega": 0.227, "theta": -0.0323, "rho": 0.0812, "theo": 3.1391, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.3, "last_trade_time": "2026-11-05T11:26:50", "percent_change": 0.0, "prev_day_close": 4.72499990463257}, {"option": "AMR270521P00280000", "bid": 120.3, "bid_size": 12.0, "ask": 128.1, "ask_size": 12.0, "iv": 0.0, "open_interest": 1.0, "volume": 0.0, "delta": -0.9256, "gamma": 0.004, "vega": 0.1457, "theta": -0.0276, "rho": -0.3413, "theo": 125.1241, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 98.3, "last_trade_time": "2026-09-17T14:41:30", "percent_change": 0.0, "prev_day_close": 130.099998474121}], "symbol": "AMR", "security_type": "stock", "exchange_id": 3, "current_price": 156.2, "price_change": 7.22, "price_change_percent": 4.8807, "bid": 140.0, "ask": 159.0, "bid_size": 100, "ask_size": 100, "open": 148.99, "high": 156.61, "low": 145.64, "close": 155.15, "prev_day_close": 147.93, "volume": 266489, "iv30": 57.998, "iv30_change": 1.73, "iv30_change_percent": 3.0746, "seqno": 10403186308, "last_trade_time": "2026-11-09T16:00:00", "tick": "down"}, "symbol": "AMR"}