{"timestamp": "2026-11-09 23:55:59", "data": {"options": [{"option": "PAMC261120C00040000", "bid": 7.7, "bid_size": 335.0, "ask": 10.9, "ask_size": 335.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9359, "gamma": 0.0189, "vega": 0.0105, "theta": -0.0436, "rho": 0.0059, "theo": 9.5938, "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": 8.15000009536743}, {"option": "PAMC261120P00040000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 358.0, "iv": 1.2857, "open_interest": 0.0, "volume": 0.0, "delta": -0.0688, "gamma": 0.018, "vega": 0.0114, "theta": -0.0424, "rho": -0.0013, "theo": 0.2311, "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": 0.925000011920929}, {"option": "PAMC261120C00041000", "bid": 6.7, "bid_size": 337.0, "ask": 9.7, "ask_size": 305.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9259, "gamma": 0.0226, "vega": 0.0118, "theta": -0.045, "rho": 0.0064, "theo": 8.6123, "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": 7.20000004768372}, {"option": "PAMC261120P00041000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 358.0, "iv": 1.1823, "open_interest": 0.0, "volume": 0.0, "delta": -0.079, "gamma": 0.0216, "vega": 0.0127, "theta": -0.0438, "rho": -0.0015, "theo": 0.2514, "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": 0.949999988079071}, {"option": "PAMC261120C00042000", "bid": 5.6, "bid_size": 331.0, "ask": 8.9, "ask_size": 335.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9136, "gamma": 0.0273, "vega": 0.0132, "theta": -0.0464, "rho": 0.0066, "theo": 7.6339, "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": 6.25}, {"option": "PAMC261120P00042000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 335.0, "iv": 1.0796, "open_interest": 0.0, "volume": 0.0, "delta": -0.0915, "gamma": 0.0262, "vega": 0.0141, "theta": -0.0453, "rho": -0.0017, "theo": 0.2752, "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": 0.949999988079071}, {"option": "PAMC261120C00043000", "bid": 4.7, "bid_size": 335.0, "ask": 7.9, "ask_size": 332.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8982, "gamma": 0.0334, "vega": 0.015, "theta": -0.0479, "rho": 0.007, "theo": 6.6602, "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": 5.5}, {"option": "PAMC261120P00043000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 335.0, "iv": 0.9772, "open_interest": 0.0, "volume": 0.0, "delta": -0.1072, "gamma": 0.0322, "vega": 0.0159, "theta": -0.0468, "rho": -0.002, "theo": 0.3039, "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": 0.975000023841858}, {"option": "PAMC261120C00044000", "bid": 3.8, "bid_size": 331.0, "ask": 6.9, "ask_size": 335.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8782, "gamma": 0.0415, "vega": 0.0171, "theta": -0.0494, "rho": 0.0073, "theo": 5.693, "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": 4.54999995231628}, {"option": "PAMC261120P00044000", "bid": 0.0, "bid_size": 0.0, "ask": 1.9, "ask_size": 335.0, "iv": 0.8849, "open_interest": 0.0, "volume": 0.0, "delta": -0.1273, "gamma": 0.0401, "vega": 0.018, "theta": -0.0482, "rho": -0.0023, "theo": 0.3393, "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": 1.0}, {"option": "PAMC261120C00045000", "bid": 3.1, "bid_size": 330.0, "ask": 5.6, "ask_size": 304.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8517, "gamma": 0.0524, "vega": 0.0197, "theta": -0.0507, "rho": 0.0077, "theo": 4.7356, "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": 3.625}, {"option": "PAMC261120P00045000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 354.0, "iv": 0.7904, "open_interest": 0.0, "volume": 0.0, "delta": -0.154, "gamma": 0.0508, "vega": 0.0204, "theta": -0.0496, "rho": -0.0028, "theo": 0.3849, "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": 1.04999995231628}, {"option": "PAMC261120C00046000", "bid": 2.2, "bid_size": 331.0, "ask": 4.6, "ask_size": 134.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8152, "gamma": 0.0676, "vega": 0.0227, "theta": -0.0519, "rho": 0.0079, "theo": 3.7937, "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": 2.97500002384186}, {"option": "PAMC261120P00046000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 345.0, "iv": 0.6838, "open_interest": 0.0, "volume": 0.0, "delta": -0.1908, "gamma": 0.0656, "vega": 0.0234, "theta": -0.0508, "rho": -0.0035, "theo": 0.4468, "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": 1.10000002384186}, {"option": "PAMC261120C00047000", "bid": 1.4, "bid_size": 331.0, "ask": 3.9, "ask_size": 305.0, "iv": 0.3255, "open_interest": 0.0, "volume": 0.0, "delta": 0.762, "gamma": 0.0885, "vega": 0.0263, "theta": -0.0527, "rho": 0.0079, "theo": 2.8805, "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": 2.02499994635582}, {"option": "PAMC261120P00047000", "bid": 0.0, "bid_size": 0.0, "ask": 2.0, "ask_size": 344.0, "iv": 0.5824, "open_interest": 0.0, "volume": 0.0, "delta": -0.2438, "gamma": 0.0863, "vega": 0.027, "theta": -0.0518, "rho": -0.0045, "theo": 0.5379, "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": 1.20000004768372}, {"option": "PAMC261120C00048000", "bid": 0.65, "bid_size": 333.0, "ask": 3.3, "ask_size": 336.0, "iv": 0.3501, "open_interest": 0.0, "volume": 0.0, "delta": 0.6816, "gamma": 0.1157, "vega": 0.0306, "theta": -0.0531, "rho": 0.0077, "theo": 2.0262, "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": 1.52500000037253}, {"option": "PAMC261120P00048000", "bid": 0.0, "bid_size": 0.0, "ask": 2.15, "ask_size": 343.0, "iv": 0.4896, "open_interest": 0.0, "volume": 0.0, "delta": -0.3239, "gamma": 0.1132, "vega": 0.0308, "theta": -0.0522, "rho": -0.0059, "theo": 0.6891, "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": 1.35000002384186}, {"option": "PAMC261120C00049000", "bid": 0.05, "bid_size": 823.0, "ask": 2.3, "ask_size": 337.0, "iv": 0.2915, "open_interest": 0.0, "volume": 0.0, "delta": 0.5615, "gamma": 0.1404, "vega": 0.0336, "theta": -0.0528, "rho": 0.0068, "theo": 1.3078, "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": 1.22500002384186}, {"option": "PAMC261120P00049000", "bid": 0.0, "bid_size": 0.0, "ask": 2.3, "ask_size": 342.0, "iv": 0.3824, "open_interest": 0.0, "volume": 0.0, "delta": -0.4426, "gamma": 0.1377, "vega": 0.0338, "theta": -0.0519, "rho": -0.0081, "theo": 0.9764, "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": 1.77500002086163}, {"option": "PAMC261120C00050000", "bid": 0.0, "bid_size": 0.0, "ask": 2.15, "ask_size": 347.0, "iv": 0.4012, "open_interest": 0.0, "volume": 0.0, "delta": 0.4212, "gamma": 0.1384, "vega": 0.0335, "theta": -0.052, "rho": 0.0055, "theo": 0.8378, "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": 1.04999995231628}, {"option": "PAMC261120P00050000", "bid": 0.2, "bid_size": 340.0, "ask": 2.7, "ask_size": 341.0, "iv": 0.3123, "open_interest": 0.0, "volume": 0.0, "delta": -0.5805, "gamma": 0.1362, "vega": 0.0334, "theta": -0.051, "rho": -0.0108, "theo": 1.5115, "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": 2.37500005960464}, {"option": "PAMC261120C00051000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 349.0, "iv": 0.4828, "open_interest": 0.0, "volume": 0.0, "delta": 0.3117, "gamma": 0.1137, "vega": 0.0303, "theta": -0.051, "rho": 0.0043, "theo": 0.5983, "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": 0.975000023841858}, {"option": "PAMC261120P00051000", "bid": 0.8, "bid_size": 335.0, "ask": 3.5, "ask_size": 68.0, "iv": 0.3204, "open_interest": 1.0, "volume": 0.0, "delta": -0.6878, "gamma": 0.1122, "vega": 0.0302, "theta": -0.0501, "rho": -0.0129, "theo": 2.2744, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.45, "last_trade_time": "2026-10-14T09:31:01", "percent_change": 0.0, "prev_day_close": 3.20000010728836}, {"option": "PAMC261120C00052000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 351.0, "iv": 0.5641, "open_interest": 0.0, "volume": 0.0, "delta": 0.2407, "gamma": 0.089, "vega": 0.0268, "theta": -0.0499, "rho": 0.0034, "theo": 0.4735, "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": 0.925000011920929}, {"option": "PAMC261120P00052000", "bid": 1.5, "bid_size": 334.0, "ask": 4.4, "ask_size": 68.0, "iv": 0.3261, "open_interest": 2.0, "volume": 0.0, "delta": -0.7576, "gamma": 0.088, "vega": 0.0266, "theta": -0.049, "rho": -0.0145, "theo": 3.1501, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.9, "last_trade_time": "2026-09-30T09:30:02", "percent_change": 0.0, "prev_day_close": 4.07499992847443}, {"option": "PAMC261120C00053000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 358.0, "iv": 0.6524, "open_interest": 0.0, "volume": 0.0, "delta": 0.194, "gamma": 0.0702, "vega": 0.0237, "theta": -0.0487, "rho": 0.0028, "theo": 0.3986, "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": 0.925000011920929}, {"option": "PAMC261120P00053000", "bid": 2.6, "bid_size": 337.0, "ask": 5.4, "ask_size": 70.0, "iv": 0.4215, "open_interest": 0.0, "volume": 0.0, "delta": -0.8035, "gamma": 0.0695, "vega": 0.0236, "theta": -0.0478, "rho": -0.0156, "theo": 4.0748, "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": "PAMC261120C00054000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 354.0, "iv": 0.7343, "open_interest": 0.0, "volume": 0.0, "delta": 0.1617, "gamma": 0.0566, "vega": 0.0211, "theta": -0.0476, "rho": 0.0024, "theo": 0.3482, "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": 0.925000011920929}, {"option": "PAMC261120P00054000", "bid": 3.2, "bid_size": 335.0, "ask": 6.4, "ask_size": 68.0, "iv": 0.3734, "open_interest": 0.0, "volume": 0.0, "delta": -0.8354, "gamma": 0.0561, "vega": 0.021, "theta": -0.0466, "rho": -0.0165, "theo": 5.0236, "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": 6.04999995231628}, {"option": "PAMC261120C00055000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 143.0, "iv": 0.5282, "open_interest": 0.0, "volume": 0.0, "delta": 0.1382, "gamma": 0.0467, "vega": 0.019, "theta": -0.0464, "rho": 0.002, "theo": 0.3115, "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": "PAMC261120P00055000", "bid": 4.2, "bid_size": 335.0, "ask": 7.3, "ask_size": 64.0, "iv": 0.3843, "open_interest": 0.0, "volume": 0.0, "delta": -0.8586, "gamma": 0.0463, "vega": 0.0189, "theta": -0.0454, "rho": -0.0173, "theo": 5.9858, "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": 7.04999995231628}, {"option": "PAMC261120C00056000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 358.0, "iv": 0.8842, "open_interest": 0.0, "volume": 0.0, "delta": 0.1204, "gamma": 0.0392, "vega": 0.0173, "theta": -0.0453, "rho": 0.0018, "theo": 0.2835, "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": "PAMC261120P00056000", "bid": 5.2, "bid_size": 335.0, "ask": 8.3, "ask_size": 68.0, "iv": 0.4354, "open_interest": 0.0, "volume": 0.0, "delta": -0.8762, "gamma": 0.0389, "vega": 0.0172, "theta": -0.0443, "rho": -0.0179, "theo": 6.9565, "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": 8.04999995231628}, {"option": "PAMC261120C00057000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 358.0, "iv": 0.9537, "open_interest": 0.0, "volume": 0.0, "delta": 0.1065, "gamma": 0.0334, "vega": 0.0158, "theta": -0.0443, "rho": 0.0016, "theo": 0.261, "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": "PAMC261120P00057000", "bid": 6.2, "bid_size": 335.0, "ask": 9.4, "ask_size": 68.0, "iv": 0.5366, "open_interest": 0.0, "volume": 0.0, "delta": -0.89, "gamma": 0.0332, "vega": 0.0157, "theta": -0.0431, "rho": -0.0185, "theo": 7.9327, "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": 8.89999985694885}, {"option": "PAMC261120C00058000", "bid": 0.0, "bid_size": 0.0, "ask": 1.35, "ask_size": 341.0, "iv": 0.9123, "open_interest": 0.0, "volume": 0.0, "delta": 0.0953, "gamma": 0.0289, "vega": 0.0146, "theta": -0.0433, "rho": 0.0014, "theo": 0.2427, "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": "PAMC261120P00058000", "bid": 7.2, "bid_size": 334.0, "ask": 10.3, "ask_size": 68.0, "iv": 0.5327, "open_interest": 0.0, "volume": 0.0, "delta": -0.901, "gamma": 0.0288, "vega": 0.0145, "theta": -0.042, "rho": -0.019, "theo": 8.9129, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.6, "last_trade_time": "2026-05-20T09:31:01", "percent_change": 0.0, "prev_day_close": 9.90000009536743}, {"option": "PAMC261120C00059000", "bid": 0.0, "bid_size": 0.0, "ask": 1.85, "ask_size": 355.0, "iv": 1.084, "open_interest": 0.0, "volume": 0.0, "delta": 0.0862, "gamma": 0.0253, "vega": 0.0135, "theta": -0.0424, "rho": 0.0013, "theo": 0.2272, "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": "PAMC261120P00059000", "bid": 8.2, "bid_size": 334.0, "ask": 11.4, "ask_size": 64.0, "iv": 0.6362, "open_interest": 0.0, "volume": 0.0, "delta": -0.9101, "gamma": 0.0252, "vega": 0.0135, "theta": -0.041, "rho": -0.0196, "theo": 9.8959, "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": 10.9000000953674}, {"option": "PAMC261218C00040000", "bid": 7.8, "bid_size": 335.0, "ask": 11.1, "ask_size": 252.0, "iv": 0.3803, "open_interest": 0.0, "volume": 0.0, "delta": 0.8772, "gamma": 0.0221, "vega": 0.0318, "theta": -0.0262, "rho": 0.0217, "theo": 9.9205, "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": 8.25000023841858}, {"option": "PAMC261218P00040000", "bid": 0.0, "bid_size": 0.0, "ask": 2.05, "ask_size": 271.0, "iv": 0.7064, "open_interest": 0.0, "volume": 0.0, "delta": -0.1259, "gamma": 0.021, "vega": 0.0335, "theta": -0.0257, "rho": -0.0077, "theo": 0.6644, "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": 1.10000002384186}, {"option": "PAMC261218C00041000", "bid": 6.7, "bid_size": 331.0, "ask": 10.2, "ask_size": 252.0, "iv": 0.3433, "open_interest": 0.0, "volume": 0.0, "delta": 0.863, "gamma": 0.0254, "vega": 0.0344, "theta": -0.0264, "rho": 0.0226, "theo": 8.9597, "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": 7.5}, {"option": "PAMC261218P00041000", "bid": 0.0, "bid_size": 0.0, "ask": 2.1, "ask_size": 268.0, "iv": 0.6563, "open_interest": 0.0, "volume": 0.0, "delta": -0.1401, "gamma": 0.0242, "vega": 0.036, "theta": -0.0259, "rho": -0.0085, "theo": 0.7055, "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": 1.10000002384186}, {"option": "PAMC261218C00042000", "bid": 5.7, "bid_size": 331.0, "ask": 8.7, "ask_size": 94.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8463, "gamma": 0.0294, "vega": 0.0373, "theta": -0.0266, "rho": 0.0233, "theo": 8.0051, "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": 6.20000004768372}, {"option": "PAMC261218P00042000", "bid": 0.0, "bid_size": 0.0, "ask": 2.15, "ask_size": 267.0, "iv": 0.6059, "open_interest": 0.0, "volume": 0.0, "delta": -0.1569, "gamma": 0.028, "vega": 0.0388, "theta": -0.026, "rho": -0.0095, "theo": 0.7528, "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": 1.14999997615814}, {"option": "PAMC261218C00043000", "bid": 4.8, "bid_size": 331.0, "ask": 7.8, "ask_size": 96.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8262, "gamma": 0.0342, "vega": 0.0406, "theta": -0.0266, "rho": 0.024, "theo": 7.0588, "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": 5.75000011920929}, {"option": "PAMC261218P00043000", "bid": 0.0, "bid_size": 0.0, "ask": 2.2, "ask_size": 264.0, "iv": 0.555, "open_interest": 0.0, "volume": 0.0, "delta": -0.1769, "gamma": 0.0326, "vega": 0.042, "theta": -0.026, "rho": -0.0107, "theo": 0.8084, "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": 1.20000004768372}, {"option": "PAMC261218C00044000", "bid": 3.9, "bid_size": 331.0, "ask": 6.9, "ask_size": 200.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8018, "gamma": 0.04, "vega": 0.044, "theta": -0.0266, "rho": 0.0242, "theo": 6.1233, "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": 4.84999990463257}, {"option": "PAMC261218P00044000", "bid": 0.0, "bid_size": 0.0, "ask": 2.2, "ask_size": 263.0, "iv": 0.4982, "open_interest": 0.0, "volume": 0.0, "delta": -0.2012, "gamma": 0.0383, "vega": 0.0454, "theta": -0.026, "rho": -0.0121, "theo": 0.8754, "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": 1.25}, {"option": "PAMC261218C00045000", "bid": 3.5, "bid_size": 330.0, "ask": 6.0, "ask_size": 219.0, "iv": 0.3082, "open_interest": 0.0, "volume": 0.0, "delta": 0.7714, "gamma": 0.0472, "vega": 0.0481, "theta": -0.0265, "rho": 0.0247, "theo": 5.2044, "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": 4.02500009536743}, {"option": "PAMC261218P00045000", "bid": 0.0, "bid_size": 0.0, "ask": 2.35, "ask_size": 263.0, "iv": 0.4556, "open_interest": 0.0, "volume": 0.0, "delta": -0.2314, "gamma": 0.0453, "vega": 0.0492, "theta": -0.0259, "rho": -0.0139, "theo": 0.9591, "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": 1.32500004768372}, {"option": "PAMC261218C00046000", "bid": 2.7, "bid_size": 331.0, "ask": 5.2, "ask_size": 229.0, "iv": 0.3041, "open_interest": 0.0, "volume": 0.0, "delta": 0.7329, "gamma": 0.0559, "vega": 0.0522, "theta": -0.0263, "rho": 0.0246, "theo": 4.3106, "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": 3.22500002384186}, {"option": "PAMC261218P00046000", "bid": 0.0, "bid_size": 0.0, "ask": 2.45, "ask_size": 262.0, "iv": 0.4056, "open_interest": 0.0, "volume": 0.0, "delta": -0.2695, "gamma": 0.0538, "vega": 0.0533, "theta": -0.0256, "rho": -0.0161, "theo": 1.0684, "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": 1.42499995231628}, {"option": "PAMC261218C00047000", "bid": 1.35, "bid_size": 336.0, "ask": 4.3, "ask_size": 229.0, "iv": 0.2247, "open_interest": 0.0, "volume": 0.0, "delta": 0.6833, "gamma": 0.066, "vega": 0.0568, "theta": -0.0259, "rho": 0.0244, "theo": 3.4584, "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": 2.57500004768372}, {"option": "PAMC261218P00047000", "bid": 0.0, "bid_size": 0.0, "ask": 2.55, "ask_size": 251.0, "iv": 0.3527, "open_interest": 0.0, "volume": 0.0, "delta": -0.3184, "gamma": 0.0637, "vega": 0.0575, "theta": -0.0252, "rho": -0.019, "theo": 1.2197, "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": 1.54999995231628}, {"option": "PAMC261218C00048000", "bid": 1.1, "bid_size": 331.0, "ask": 3.9, "ask_size": 255.0, "iv": 0.2855, "open_interest": 0.0, "volume": 0.0, "delta": 0.6192, "gamma": 0.0764, "vega": 0.0609, "theta": -0.0254, "rho": 0.0236, "theo": 2.678, "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": 2.02499997615814}, {"option": "PAMC261218P00048000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 262.0, "iv": 0.3079, "open_interest": 0.0, "volume": 0.0, "delta": -0.3814, "gamma": 0.074, "vega": 0.0612, "theta": -0.0247, "rho": -0.0228, "theo": 1.4432, "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": 1.77500005066395}, {"option": "PAMC261218C00049000", "bid": 0.35, "bid_size": 332.0, "ask": 3.4, "ask_size": 264.0, "iv": 0.2738, "open_interest": 1.0, "volume": 0.0, "delta": 0.5403, "gamma": 0.084, "vega": 0.0635, "theta": -0.0248, "rho": 0.0218, "theo": 2.0197, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.95, "last_trade_time": "2026-10-23T10:05:21", "percent_change": 0.0, "prev_day_close": 1.64999997615814}, {"option": "PAMC261218P00049000", "bid": 0.05, "bid_size": 248.0, "ask": 3.2, "ask_size": 260.0, "iv": 0.2708, "open_interest": 0.0, "volume": 0.0, "delta": -0.4587, "gamma": 0.0817, "vega": 0.0636, "theta": -0.0242, "rho": -0.0274, "theo": 1.7884, "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": 2.27500003576279}, {"option": "PAMC261218C00050000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 260.0, "iv": 0.2716, "open_interest": 0.0, "volume": 0.0, "delta": 0.4556, "gamma": 0.0845, "vega": 0.0636, "theta": -0.0243, "rho": 0.0191, "theo": 1.5337, "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": 1.39999997615814}, {"option": "PAMC261218P00050000", "bid": 0.6, "bid_size": 229.0, "ask": 3.6, "ask_size": 259.0, "iv": 0.2604, "open_interest": 0.0, "volume": 0.0, "delta": -0.5414, "gamma": 0.0826, "vega": 0.0635, "theta": -0.0237, "rho": -0.0326, "theo": 2.3044, "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": 2.92500001192093}, {"option": "PAMC261218C00051000", "bid": 0.0, "bid_size": 0.0, "ask": 2.5, "ask_size": 265.0, "iv": 0.3082, "open_interest": 0.0, "volume": 0.0, "delta": 0.3801, "gamma": 0.078, "vega": 0.0612, "theta": -0.0241, "rho": 0.0165, "theo": 1.2176, "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": 1.25}, {"option": "PAMC261218P00051000", "bid": 1.2, "bid_size": 335.0, "ask": 4.0, "ask_size": 254.0, "iv": 0.238, "open_interest": 0.0, "volume": 0.0, "delta": -0.6151, "gamma": 0.0766, "vega": 0.061, "theta": -0.0235, "rho": -0.0375, "theo": 2.9883, "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": 3.02500009536743}, {"option": "PAMC261218C00052000", "bid": 0.0, "bid_size": 0.0, "ask": 2.2, "ask_size": 265.0, "iv": 0.3362, "open_interest": 0.0, "volume": 0.0, "delta": 0.3208, "gamma": 0.0688, "vega": 0.0577, "theta": -0.024, "rho": 0.0142, "theo": 1.0194, "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": 1.14999997615814}, {"option": "PAMC261218P00052000", "bid": 1.9, "bid_size": 334.0, "ask": 4.7, "ask_size": 68.0, "iv": 0.2322, "open_interest": 0.0, "volume": 0.0, "delta": -0.6731, "gamma": 0.0677, "vega": 0.0574, "theta": -0.0234, "rho": -0.0417, "theo": 3.7884, "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": 4.54999995231628}, {"option": "PAMC261218C00053000", "bid": 0.0, "bid_size": 0.0, "ask": 2.1, "ask_size": 264.0, "iv": 0.3752, "open_interest": 0.0, "volume": 0.0, "delta": 0.2761, "gamma": 0.0597, "vega": 0.054, "theta": -0.024, "rho": 0.0125, "theo": 0.8898, "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": 1.10000002384186}, {"option": "PAMC261218P00053000", "bid": 2.3, "bid_size": 337.0, "ask": 5.5, "ask_size": 67.0, "iv": 0.1727, "open_interest": 0.0, "volume": 0.0, "delta": -0.717, "gamma": 0.0589, "vega": 0.0537, "theta": -0.0233, "rho": -0.0451, "theo": 4.656, "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": 5.05000007152557}, {"option": "PAMC261218C00054000", "bid": 0.0, "bid_size": 0.0, "ask": 2.0, "ask_size": 256.0, "iv": 0.4101, "open_interest": 0.0, "volume": 0.0, "delta": 0.242, "gamma": 0.0519, "vega": 0.0504, "theta": -0.024, "rho": 0.011, "theo": 0.7996, "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": 1.04999995231628}, {"option": "PAMC261218P00054000", "bid": 3.2, "bid_size": 203.0, "ask": 6.5, "ask_size": 44.0, "iv": 0.1841, "open_interest": 0.0, "volume": 0.0, "delta": -0.7504, "gamma": 0.0513, "vega": 0.0502, "theta": -0.0232, "rho": -0.048, "theo": 5.5621, "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": 6.15000009536743}, {"option": "PAMC261218C00055000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 270.0, "iv": 0.4465, "open_interest": 0.0, "volume": 0.0, "delta": 0.2156, "gamma": 0.0454, "vega": 0.0473, "theta": -0.024, "rho": 0.0099, "theo": 0.7329, "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": 1.02499997615814}, {"option": "PAMC261218P00055000", "bid": 4.1, "bid_size": 200.0, "ask": 7.4, "ask_size": 42.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.7764, "gamma": 0.045, "vega": 0.0471, "theta": -0.0232, "rho": -0.0504, "theo": 6.4914, "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": 6.95000004768372}, {"option": "PAMC261218C00056000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 270.0, "iv": 0.4855, "open_interest": 0.0, "volume": 0.0, "delta": 0.1945, "gamma": 0.0401, "vega": 0.0445, "theta": -0.0239, "rho": 0.009, "theo": 0.6814, "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": 1.02499997615814}, {"option": "PAMC261218P00056000", "bid": 5.1, "bid_size": 200.0, "ask": 8.4, "ask_size": 40.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.7972, "gamma": 0.0397, "vega": 0.0443, "theta": -0.0231, "rho": -0.0527, "theo": 7.4355, "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": 7.99999976158142}, {"option": "PAMC261218C00057000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 259.0, "iv": 0.5227, "open_interest": 0.0, "volume": 0.0, "delta": 0.1774, "gamma": 0.0357, "vega": 0.0422, "theta": -0.0239, "rho": 0.0082, "theo": 0.64, "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": 1.0}, {"option": "PAMC261218P00057000", "bid": 6.2, "bid_size": 200.0, "ask": 9.4, "ask_size": 40.0, "iv": 0.2384, "open_interest": 0.0, "volume": 0.0, "delta": -0.8141, "gamma": 0.0354, "vega": 0.0419, "theta": -0.023, "rho": -0.0547, "theo": 8.3897, "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": 8.99999976158142}, {"option": "PAMC261218C00058000", "bid": 0.0, "bid_size": 0.0, "ask": 1.95, "ask_size": 260.0, "iv": 0.5582, "open_interest": 0.0, "volume": 0.0, "delta": 0.1632, "gamma": 0.0321, "vega": 0.0399, "theta": -0.0239, "rho": 0.0075, "theo": 0.6059, "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": 1.0}, {"option": "PAMC261218P00058000", "bid": 7.2, "bid_size": 200.0, "ask": 10.5, "ask_size": 41.0, "iv": 0.3008, "open_interest": 0.0, "volume": 0.0, "delta": -0.8281, "gamma": 0.0318, "vega": 0.0397, "theta": -0.0228, "rho": -0.0565, "theo": 9.3509, "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": 9.90000009536743}, {"option": "PAMC270219C00045000", "bid": 3.2, "bid_size": 330.0, "ask": 6.5, "ask_size": 21.0, "iv": 0.1856, "open_interest": 0.0, "volume": 0.0, "delta": 0.7635, "gamma": 0.0441, "vega": 0.0772, "theta": -0.0114, "rho": 0.067, "theo": 5.5484, "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": 4.44999992847443}, {"option": "PAMC270219P00045000", "bid": 0.0, "bid_size": 0.0, "ask": 3.1, "ask_size": 98.0, "iv": 0.3303, "open_interest": 0.0, "volume": 0.0, "delta": -0.2511, "gamma": 0.0426, "vega": 0.0826, "theta": -0.0116, "rho": -0.0336, "theo": 1.2062, "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": 2.1249999050051}, {"option": "PAMC270219C00046000", "bid": 3.0, "bid_size": 330.0, "ask": 5.7, "ask_size": 18.0, "iv": 0.2272, "open_interest": 0.0, "volume": 0.0, "delta": 0.7266, "gamma": 0.0513, "vega": 0.0849, "theta": -0.0114, "rho": 0.069, "theo": 4.6743, "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": 4.02500009536743}, {"option": "PAMC270219P00046000", "bid": 0.0, "bid_size": 0.0, "ask": 3.5, "ask_size": 96.0, "iv": 0.3136, "open_interest": 0.0, "volume": 0.0, "delta": -0.2882, "gamma": 0.0496, "vega": 0.0883, "theta": -0.0115, "rho": -0.038, "theo": 1.3339, "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": 2.25000009685755}, {"option": "PAMC270219C00047000", "bid": 2.0, "bid_size": 298.0, "ask": 5.1, "ask_size": 28.0, "iv": 0.2139, "open_interest": 0.0, "volume": 0.0, "delta": 0.6806, "gamma": 0.0595, "vega": 0.0907, "theta": -0.0114, "rho": 0.0654, "theo": 3.837, "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": 3.10000002384186}, {"option": "PAMC270219P00047000", "bid": 0.1, "bid_size": 46.0, "ask": 3.6, "ask_size": 96.0, "iv": 0.2831, "open_interest": 0.0, "volume": 0.0, "delta": -0.3342, "gamma": 0.0575, "vega": 0.0941, "theta": -0.0113, "rho": -0.0431, "theo": 1.5005, "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": 2.12499997019768}, {"option": "PAMC270219C00048000", "bid": 1.25, "bid_size": 298.0, "ask": 4.4, "ask_size": 32.0, "iv": 0.2032, "open_interest": 0.0, "volume": 0.0, "delta": 0.6237, "gamma": 0.0678, "vega": 0.0966, "theta": -0.0112, "rho": 0.0643, "theo": 3.0602, "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": 2.12500004470348}, {"option": "PAMC270219P00048000", "bid": 0.4, "bid_size": 46.0, "ask": 3.6, "ask_size": 95.0, "iv": 0.2551, "open_interest": 0.0, "volume": 0.0, "delta": -0.391, "gamma": 0.0659, "vega": 0.099, "theta": -0.011, "rho": -0.0492, "theo": 1.7277, "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": 2.47499999403954}, {"option": "PAMC270219C00049000", "bid": 0.95, "bid_size": 84.0, "ask": 4.0, "ask_size": 77.0, "iv": 0.223, "open_interest": 0.0, "volume": 0.0, "delta": 0.5549, "gamma": 0.0747, "vega": 0.101, "theta": -0.0109, "rho": 0.0607, "theo": 2.3744, "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": 1.99999995529652}, {"option": "PAMC270219P00049000", "bid": 0.8, "bid_size": 46.0, "ask": 3.8, "ask_size": 95.0, "iv": 0.2377, "open_interest": 0.0, "volume": 0.0, "delta": -0.4593, "gamma": 0.0731, "vega": 0.1021, "theta": -0.0107, "rho": -0.056, "theo": 2.0483, "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": 2.90000000596046}, {"option": "PAMC270219C00050000", "bid": 0.4, "bid_size": 98.0, "ask": 3.7, "ask_size": 97.0, "iv": 0.2272, "open_interest": 0.0, "volume": 0.0, "delta": 0.4783, "gamma": 0.0775, "vega": 0.1022, "theta": -0.0105, "rho": 0.055, "theo": 1.8195, "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": 1.84999995306134}, {"option": "PAMC270219P00050000", "bid": 1.4, "bid_size": 28.0, "ask": 4.5, "ask_size": 83.0, "iv": 0.2486, "open_interest": 0.0, "volume": 0.0, "delta": -0.5352, "gamma": 0.0767, "vega": 0.102, "theta": -0.0103, "rho": -0.063, "theo": 2.5008, "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": 2.97499990463257}, {"option": "PAMC270219C00051000", "bid": 0.0, "bid_size": 0.0, "ask": 3.4, "ask_size": 98.0, "iv": 0.2323, "open_interest": 1.0, "volume": 0.0, "delta": 0.4036, "gamma": 0.0748, "vega": 0.0997, "theta": -0.0101, "rho": 0.0482, "theo": 1.4155, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.5, "last_trade_time": "2026-11-05T11:00:56", "percent_change": 0.0, "prev_day_close": 1.60000002384186}, {"option": "PAMC270219P00051000", "bid": 1.8, "bid_size": 28.0, "ask": 4.4, "ask_size": 83.0, "iv": 0.2035, "open_interest": 0.0, "volume": 0.0, "delta": -0.6093, "gamma": 0.0748, "vega": 0.0984, "theta": -0.0098, "rho": -0.0695, "theo": 3.1035, "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": 3.90000009536743}, {"option": "PAMC270219C00052000", "bid": 0.0, "bid_size": 0.0, "ask": 3.3, "ask_size": 94.0, "iv": 0.2622, "open_interest": 0.0, "volume": 0.0, "delta": 0.3399, "gamma": 0.0682, "vega": 0.0947, "theta": -0.0097, "rho": 0.0418, "theo": 1.1425, "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": 1.85000002384186}, {"option": "PAMC270219P00052000", "bid": 2.5, "bid_size": 329.0, "ask": 5.0, "ask_size": 85.0, "iv": 0.2001, "open_interest": 0.0, "volume": 0.0, "delta": -0.6725, "gamma": 0.0688, "vega": 0.0927, "theta": -0.0094, "rho": -0.0747, "theo": 3.8354, "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": 4.54999995231628}, {"option": "PAMC270219C00053000", "bid": 0.0, "bid_size": 0.0, "ask": 3.1, "ask_size": 98.0, "iv": 0.2835, "open_interest": 0.0, "volume": 0.0, "delta": 0.2894, "gamma": 0.0605, "vega": 0.0887, "theta": -0.0094, "rho": 0.0363, "theo": 0.9601, "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": 1.70000004768372}, {"option": "PAMC270219P00053000", "bid": 3.1, "bid_size": 334.0, "ask": 6.4, "ask_size": 33.0, "iv": 0.2302, "open_interest": 0.0, "volume": 0.0, "delta": -0.7225, "gamma": 0.0613, "vega": 0.086, "theta": -0.009, "rho": -0.0791, "theo": 4.6558, "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": 5.30000007152557}, {"option": "PAMC270219C00054000", "bid": 0.0, "bid_size": 0.0, "ask": 2.95, "ask_size": 97.0, "iv": 0.3048, "open_interest": 1.0, "volume": 0.0, "delta": 0.2504, "gamma": 0.0531, "vega": 0.0827, "theta": -0.0092, "rho": 0.0318, "theo": 0.8342, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-11-05T11:00:56", "percent_change": 0.0, "prev_day_close": 1.47500002384186}, {"option": "PAMC270219P00054000", "bid": 3.9, "bid_size": 333.0, "ask": 6.6, "ask_size": 34.0, "iv": 0.1931, "open_interest": 0.0, "volume": 0.0, "delta": -0.7611, "gamma": 0.0539, "vega": 0.0795, "theta": -0.0087, "rho": -0.0821, "theo": 5.5311, "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": 6.44999980926514}, {"option": "PAMC270219C00055000", "bid": 0.0, "bid_size": 0.0, "ask": 2.9, "ask_size": 97.0, "iv": 0.3293, "open_interest": 0.0, "volume": 0.0, "delta": 0.2201, "gamma": 0.0466, "vega": 0.0772, "theta": -0.0091, "rho": 0.0282, "theo": 0.7432, "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": 1.54999995231628}, {"option": "PAMC270219P00055000", "bid": 4.4, "bid_size": 330.0, "ask": 8.1, "ask_size": 36.0, "iv": 0.2169, "open_interest": 0.0, "volume": 0.0, "delta": -0.791, "gamma": 0.0473, "vega": 0.0737, "theta": -0.0084, "rho": -0.0851, "theo": 6.4397, "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": 7.25}, {"option": "PAMC270219C00056000", "bid": 0.0, "bid_size": 0.0, "ask": 2.75, "ask_size": 99.0, "iv": 0.3465, "open_interest": 0.0, "volume": 0.0, "delta": 0.1961, "gamma": 0.0412, "vega": 0.0722, "theta": -0.0089, "rho": 0.025, "theo": 0.6746, "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": 1.5}, {"option": "PAMC270219P00056000", "bid": 4.8, "bid_size": 330.0, "ask": 8.9, "ask_size": 32.0, "iv": 0.1471, "open_interest": 0.0, "volume": 0.0, "delta": -0.8145, "gamma": 0.0417, "vega": 0.0683, "theta": -0.008, "rho": -0.0868, "theo": 7.3699, "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": 8.15000009536743}, {"option": "PAMC270219C00057000", "bid": 0.0, "bid_size": 0.0, "ask": 2.9, "ask_size": 92.0, "iv": 0.3798, "open_interest": 0.0, "volume": 0.0, "delta": 0.1767, "gamma": 0.0366, "vega": 0.0678, "theta": -0.0088, "rho": 0.0226, "theo": 0.6209, "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": 1.47500002384186}, {"option": "PAMC270219P00057000", "bid": 6.6, "bid_size": 200.0, "ask": 9.7, "ask_size": 20.0, "iv": 0.2439, "open_interest": 0.0, "volume": 0.0, "delta": -0.8335, "gamma": 0.037, "vega": 0.064, "theta": -0.0078, "rho": -0.0888, "theo": 8.314, "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": 9.10000014305115}, {"option": "PAMC270219C00058000", "bid": 0.0, "bid_size": 0.0, "ask": 2.85, "ask_size": 96.0, "iv": 0.4003, "open_interest": 1.0, "volume": 0.0, "delta": 0.1608, "gamma": 0.0328, "vega": 0.0639, "theta": -0.0087, "rho": 0.0205, "theo": 0.5775, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.35, "last_trade_time": "2026-08-28T09:31:01", "percent_change": 0.0, "prev_day_close": 1.45000004768372}, {"option": "PAMC270219P00058000", "bid": 7.1, "bid_size": 200.0, "ask": 10.6, "ask_size": 21.0, "iv": 0.1841, "open_interest": 0.0, "volume": 0.0, "delta": -0.849, "gamma": 0.0331, "vega": 0.06, "theta": -0.0075, "rho": -0.0914, "theo": 9.2679, "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": 10.0500001907349}, {"option": "PAMC270219C00059000", "bid": 0.0, "bid_size": 0.0, "ask": 2.85, "ask_size": 95.0, "iv": 0.4228, "open_interest": 0.0, "volume": 0.0, "delta": 0.1475, "gamma": 0.0296, "vega": 0.0603, "theta": -0.0086, "rho": 0.0188, "theo": 0.5417, "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": 1.45000004768372}, {"option": "PAMC270219P00059000", "bid": 8.1, "bid_size": 200.0, "ask": 11.6, "ask_size": 20.0, "iv": 0.202, "open_interest": 0.0, "volume": 0.0, "delta": -0.8618, "gamma": 0.0297, "vega": 0.0562, "theta": -0.0072, "rho": -0.0923, "theo": 10.2289, "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": 11.0}, {"option": "PAMC270219C00060000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 96.0, "iv": 0.4413, "open_interest": 0.0, "volume": 0.0, "delta": 0.1363, "gamma": 0.0268, "vega": 0.0572, "theta": -0.0085, "rho": 0.0174, "theo": 0.5115, "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": 1.42499995231628}, {"option": "PAMC270219P00060000", "bid": 9.0, "bid_size": 200.0, "ask": 12.6, "ask_size": 20.0, "iv": 0.1876, "open_interest": 0.0, "volume": 0.0, "delta": -0.8727, "gamma": 0.0269, "vega": 0.0531, "theta": -0.0069, "rho": -0.0942, "theo": 11.1952, "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": 11.9000000953674}, {"option": "PAMC270219C00061000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 96.0, "iv": 0.4621, "open_interest": 0.0, "volume": 0.0, "delta": 0.1267, "gamma": 0.0245, "vega": 0.0544, "theta": -0.0084, "rho": 0.0162, "theo": 0.4855, "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": 1.29999995231628}, {"option": "PAMC270219P00061000", "bid": 10.0, "bid_size": 200.0, "ask": 13.5, "ask_size": 21.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.882, "gamma": 0.0245, "vega": 0.0503, "theta": -0.0066, "rho": -0.0955, "theo": 12.1654, "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": 13.0999999046326}, {"option": "PAMC270219C00062000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 96.0, "iv": 0.4822, "open_interest": 0.0, "volume": 0.0, "delta": 0.1184, "gamma": 0.0224, "vega": 0.0519, "theta": -0.0083, "rho": 0.015, "theo": 0.463, "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": 1.42499995231628}, {"option": "PAMC270219P00062000", "bid": 11.0, "bid_size": 200.0, "ask": 14.4, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.8899, "gamma": 0.0224, "vega": 0.0478, "theta": -0.0064, "rho": -0.0973, "theo": 13.1387, "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": 13.9000000953674}, {"option": "PAMC270219C00063000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 96.0, "iv": 0.5017, "open_interest": 0.0, "volume": 0.0, "delta": 0.1111, "gamma": 0.0207, "vega": 0.0496, "theta": -0.0082, "rho": 0.0141, "theo": 0.4432, "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": 1.32500004768372}, {"option": "PAMC270219P00063000", "bid": 12.0, "bid_size": 200.0, "ask": 15.4, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.8969, "gamma": 0.0206, "vega": 0.0457, "theta": -0.0062, "rho": -0.0978, "theo": 14.1144, "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": 14.9000005722046}, {"option": "PAMC270219C00064000", "bid": 0.0, "bid_size": 0.0, "ask": 2.75, "ask_size": 63.0, "iv": 0.5172, "open_interest": 0.0, "volume": 0.0, "delta": 0.1047, "gamma": 0.0192, "vega": 0.0475, "theta": -0.0082, "rho": 0.0132, "theo": 0.4256, "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": 1.39999997615814}, {"option": "PAMC270219P00064000", "bid": 13.0, "bid_size": 200.0, "ask": 16.4, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.903, "gamma": 0.019, "vega": 0.0433, "theta": -0.0059, "rho": -0.0996, "theo": 15.0925, "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": 15.9000005722046}, {"option": "PAMC270521C00044000", "bid": 4.7, "bid_size": 166.0, "ask": 8.8, "ask_size": 8.0, "iv": 0.2413, "open_interest": 0.0, "volume": 0.0, "delta": 0.7478, "gamma": 0.0303, "vega": 0.1119, "theta": -0.0076, "rho": 0.1548, "theo": 7.2872, "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": 5.79999995231628}, {"option": "PAMC270521P00044000", "bid": 0.0, "bid_size": 0.0, "ask": 3.5, "ask_size": 19.0, "iv": 0.2949, "open_interest": 0.0, "volume": 0.0, "delta": -0.2507, "gamma": 0.031, "vega": 0.113, "theta": -0.0085, "rho": -0.0636, "theo": 1.7086, "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": 1.87499995529652}, {"option": "PAMC270521C00045000", "bid": 4.0, "bid_size": 166.0, "ask": 8.0, "ask_size": 8.0, "iv": 0.236, "open_interest": 0.0, "volume": 0.0, "delta": 0.7214, "gamma": 0.034, "vega": 0.1178, "theta": -0.0076, "rho": 0.1524, "theo": 6.4323, "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": 5.07500004768372}, {"option": "PAMC270521P00045000", "bid": 0.05, "bid_size": 7.0, "ask": 3.6, "ask_size": 17.0, "iv": 0.2728, "open_interest": 0.0, "volume": 0.0, "delta": -0.2782, "gamma": 0.0349, "vega": 0.1189, "theta": -0.0084, "rho": -0.0693, "theo": 1.8346, "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": 2.09999997913837}, {"option": "PAMC270521C00046000", "bid": 3.1, "bid_size": 167.0, "ask": 7.2, "ask_size": 11.0, "iv": 0.2196, "open_interest": 0.0, "volume": 0.0, "delta": 0.6907, "gamma": 0.038, "vega": 0.1238, "theta": -0.0076, "rho": 0.1498, "theo": 5.602, "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": 4.64999997615814}, {"option": "PAMC270521P00046000", "bid": 0.3, "bid_size": 7.0, "ask": 3.6, "ask_size": 8.0, "iv": 0.2538, "open_interest": 0.0, "volume": 0.0, "delta": -0.3103, "gamma": 0.0393, "vega": 0.1249, "theta": -0.0083, "rho": -0.0758, "theo": 1.9861, "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": 2.59999996423721}, {"option": "PAMC270521C00047000", "bid": 2.45, "bid_size": 18.0, "ask": 6.5, "ask_size": 9.0, "iv": 0.2152, "open_interest": 0.0, "volume": 0.0, "delta": 0.6549, "gamma": 0.0424, "vega": 0.1296, "theta": -0.0075, "rho": 0.145, "theo": 4.8056, "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": 4.02499997615814}, {"option": "PAMC270521P00047000", "bid": 0.6, "bid_size": 7.0, "ask": 3.9, "ask_size": 9.0, "iv": 0.2467, "open_interest": 0.0, "volume": 0.0, "delta": -0.348, "gamma": 0.0441, "vega": 0.1305, "theta": -0.0082, "rho": -0.0832, "theo": 2.1741, "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": 2.84999990463257}, {"option": "PAMC270521C00048000", "bid": 1.85, "bid_size": 16.0, "ask": 5.9, "ask_size": 7.0, "iv": 0.213, "open_interest": 0.0, "volume": 0.0, "delta": 0.6133, "gamma": 0.0468, "vega": 0.1347, "theta": -0.0074, "rho": 0.1384, "theo": 4.0571, "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": 3.37500011920929}, {"option": "PAMC270521P00048000", "bid": 0.95, "bid_size": 7.0, "ask": 4.1, "ask_size": 10.0, "iv": 0.2349, "open_interest": 0.0, "volume": 0.0, "delta": -0.3922, "gamma": 0.0491, "vega": 0.1354, "theta": -0.008, "rho": -0.0909, "theo": 2.4122, "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": 3.22499996423721}, {"option": "PAMC270521C00049000", "bid": 1.5, "bid_size": 13.0, "ask": 5.3, "ask_size": 9.0, "iv": 0.2164, "open_interest": 0.0, "volume": 0.0, "delta": 0.5657, "gamma": 0.0509, "vega": 0.1386, "theta": -0.0073, "rho": 0.1295, "theo": 3.3754, "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": 2.49999991059303}, {"option": "PAMC270521P00049000", "bid": 1.3, "bid_size": 7.0, "ask": 4.1, "ask_size": 7.0, "iv": 0.2131, "open_interest": 0.0, "volume": 0.0, "delta": -0.443, "gamma": 0.0538, "vega": 0.1387, "theta": -0.0078, "rho": -0.0995, "theo": 2.7208, "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": 3.09999996423721}, {"option": "PAMC270521C00050000", "bid": 0.75, "bid_size": 17.0, "ask": 4.0, "ask_size": 2.0, "iv": 0.1769, "open_interest": 0.0, "volume": 0.0, "delta": 0.5134, "gamma": 0.0538, "vega": 0.1406, "theta": -0.0072, "rho": 0.119, "theo": 2.7828, "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": 2.67500004172325}, {"option": "PAMC270521P00050000", "bid": 0.75, "bid_size": 19.0, "ask": 4.5, "ask_size": 7.0, "iv": 0.1701, "open_interest": 0.0, "volume": 0.0, "delta": -0.4994, "gamma": 0.0574, "vega": 0.1398, "theta": -0.0076, "rho": -0.1079, "theo": 3.1233, "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": 4.15000009536743}, {"option": "PAMC270521C00051000", "bid": 0.4, "bid_size": 15.0, "ask": 4.4, "ask_size": 9.0, "iv": 0.2085, "open_interest": 0.0, "volume": 0.0, "delta": 0.4592, "gamma": 0.0549, "vega": 0.1402, "theta": -0.007, "rho": 0.1074, "theo": 2.2975, "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": 1.87499995529652}, {"option": "PAMC270521P00051000", "bid": 1.4, "bid_size": 165.0, "ask": 5.4, "ask_size": 10.0, "iv": 0.1839, "open_interest": 0.0, "volume": 0.0, "delta": -0.558, "gamma": 0.059, "vega": 0.138, "theta": -0.0074, "rho": -0.1162, "theo": 3.638, "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": 4.35000002384186}, {"option": "PAMC270521C00052000", "bid": 0.0, "bid_size": 0.0, "ask": 3.5, "ask_size": 7.0, "iv": 0.1882, "open_interest": 0.0, "volume": 0.0, "delta": 0.4074, "gamma": 0.0538, "vega": 0.1374, "theta": -0.0069, "rho": 0.0959, "theo": 1.9231, "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": 1.75}, {"option": "PAMC270521P00052000", "bid": 1.9, "bid_size": 166.0, "ask": 6.0, "ask_size": 10.0, "iv": 0.1767, "open_interest": 0.0, "volume": 0.0, "delta": -0.6141, "gamma": 0.0583, "vega": 0.1332, "theta": -0.0072, "rho": -0.1209, "theo": 4.267, "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": "PAMC270521C00053000", "bid": 0.0, "bid_size": 0.0, "ask": 3.4, "ask_size": 13.0, "iv": 0.2083, "open_interest": 0.0, "volume": 0.0, "delta": 0.3613, "gamma": 0.0511, "vega": 0.1329, "theta": -0.0068, "rho": 0.0852, "theo": 1.6451, "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": 1.64999997615814}, {"option": "PAMC270521P00053000", "bid": 2.7, "bid_size": 165.0, "ask": 6.7, "ask_size": 10.0, "iv": 0.1803, "open_interest": 0.0, "volume": 0.0, "delta": -0.6638, "gamma": 0.0557, "vega": 0.127, "theta": -0.0071, "rho": -0.1246, "theo": 4.9942, "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": 5.65000009536743}, {"option": "PAMC270521C00054000", "bid": 0.0, "bid_size": 0.0, "ask": 3.2, "ask_size": 14.0, "iv": 0.2226, "open_interest": 0.0, "volume": 0.0, "delta": 0.3221, "gamma": 0.0476, "vega": 0.1275, "theta": -0.0067, "rho": 0.0761, "theo": 1.4405, "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": 1.60000002384186}, {"option": "PAMC270521P00054000", "bid": 3.3, "bid_size": 166.0, "ask": 7.4, "ask_size": 11.0, "iv": 0.1702, "open_interest": 0.0, "volume": 0.0, "delta": -0.7056, "gamma": 0.0519, "vega": 0.12, "theta": -0.0069, "rho": -0.1296, "theo": 5.7957, "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": 6.4500002861023}, {"option": "PAMC270521C00055000", "bid": 0.0, "bid_size": 0.0, "ask": 2.95, "ask_size": 20.0, "iv": 0.2331, "open_interest": 0.0, "volume": 0.0, "delta": 0.2895, "gamma": 0.0438, "vega": 0.1218, "theta": -0.0067, "rho": 0.0683, "theo": 1.2882, "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": 1.85000002384186}, {"option": "PAMC270521P00055000", "bid": 4.5, "bid_size": 165.0, "ask": 8.2, "ask_size": 13.0, "iv": 0.1895, "open_interest": 0.0, "volume": 0.0, "delta": -0.7401, "gamma": 0.0477, "vega": 0.1124, "theta": -0.0067, "rho": -0.129, "theo": 6.6487, "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": 7.25}, {"option": "PAMC270521C00056000", "bid": 0.0, "bid_size": 0.0, "ask": 2.9, "ask_size": 19.0, "iv": 0.2501, "open_interest": 0.0, "volume": 0.0, "delta": 0.2624, "gamma": 0.0401, "vega": 0.1163, "theta": -0.0066, "rho": 0.0619, "theo": 1.1719, "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": 1.42499995231628}, {"option": "PAMC270521P00056000", "bid": 5.2, "bid_size": 168.0, "ask": 9.1, "ask_size": 13.0, "iv": 0.1855, "open_interest": 0.0, "volume": 0.0, "delta": -0.7683, "gamma": 0.0436, "vega": 0.1056, "theta": -0.0065, "rho": -0.132, "theo": 7.5371, "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": 8.04999995231628}, {"option": "PAMC270521C00057000", "bid": 0.0, "bid_size": 0.0, "ask": 2.8, "ask_size": 19.0, "iv": 0.264, "open_interest": 0.0, "volume": 0.0, "delta": 0.2399, "gamma": 0.0368, "vega": 0.111, "theta": -0.0066, "rho": 0.0564, "theo": 1.0809, "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": 1.45000004768372}, {"option": "PAMC270521P00057000", "bid": 5.9, "bid_size": 169.0, "ask": 9.8, "ask_size": 9.0, "iv": 0.1544, "open_interest": 0.0, "volume": 0.0, "delta": -0.7915, "gamma": 0.0398, "vega": 0.0995, "theta": -0.0063, "rho": -0.1304, "theo": 8.4489, "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": 9.0}, {"option": "PAMC270521C00058000", "bid": 0.0, "bid_size": 0.0, "ask": 2.75, "ask_size": 19.0, "iv": 0.279, "open_interest": 0.0, "volume": 0.0, "delta": 0.221, "gamma": 0.0337, "vega": 0.1062, "theta": -0.0065, "rho": 0.0519, "theo": 1.0076, "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": 1.42499995231628}, {"option": "PAMC270521P00058000", "bid": 6.9, "bid_size": 100.0, "ask": 10.8, "ask_size": 5.0, "iv": 0.1691, "open_interest": 0.0, "volume": 0.0, "delta": -0.8109, "gamma": 0.0364, "vega": 0.0932, "theta": -0.0061, "rho": -0.1312, "theo": 9.3784, "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": 9.84999990463257}, {"option": "PAMC270521C00059000", "bid": 0.0, "bid_size": 0.0, "ask": 2.75, "ask_size": 19.0, "iv": 0.2955, "open_interest": 0.0, "volume": 0.0, "delta": 0.2049, "gamma": 0.0311, "vega": 0.1017, "theta": -0.0065, "rho": 0.048, "theo": 0.9474, "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": 1.42499995231628}, {"option": "PAMC270521P00059000", "bid": 7.8, "bid_size": 100.0, "ask": 11.9, "ask_size": 11.0, "iv": 0.1834, "open_interest": 0.0, "volume": 0.0, "delta": -0.827, "gamma": 0.0333, "vega": 0.088, "theta": -0.0059, "rho": -0.1333, "theo": 10.32, "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": 10.8999996185303}, {"option": "PAMC270521C00060000", "bid": 0.0, "bid_size": 0.0, "ask": 2.7, "ask_size": 19.0, "iv": 0.309, "open_interest": 0.0, "volume": 0.0, "delta": 0.1911, "gamma": 0.0287, "vega": 0.0975, "theta": -0.0065, "rho": 0.0446, "theo": 0.8971, "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": 1.79999995231628}, {"option": "PAMC270521P00060000", "bid": 8.8, "bid_size": 100.0, "ask": 12.8, "ask_size": 5.0, "iv": 0.1835, "open_interest": 0.0, "volume": 0.0, "delta": -0.8408, "gamma": 0.0306, "vega": 0.0843, "theta": -0.0057, "rho": -0.1339, "theo": 11.2695, "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": 11.8499999046326}, {"option": "PAMC270521C00061000", "bid": 0.0, "bid_size": 0.0, "ask": 2.7, "ask_size": 17.0, "iv": 0.3242, "open_interest": 0.0, "volume": 0.0, "delta": 0.1792, "gamma": 0.0266, "vega": 0.0938, "theta": -0.0064, "rho": 0.0418, "theo": 0.8542, "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": 0.300000011920929}, {"option": "PAMC270521P00061000", "bid": 9.7, "bid_size": 100.0, "ask": 13.6, "ask_size": 5.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.8526, "gamma": 0.0282, "vega": 0.0792, "theta": -0.0055, "rho": -0.1319, "theo": 12.2268, "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": 12.8000001907349}, {"option": "PAMC270521C00062000", "bid": 0.0, "bid_size": 0.0, "ask": 2.7, "ask_size": 20.0, "iv": 0.3389, "open_interest": 0.0, "volume": 0.0, "delta": 0.1687, "gamma": 0.0247, "vega": 0.0904, "theta": -0.0064, "rho": 0.0392, "theo": 0.817, "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": 1.79999995231628}, {"option": "PAMC270521P00062000", "bid": 10.7, "bid_size": 100.0, "ask": 14.7, "ask_size": 6.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.8628, "gamma": 0.0261, "vega": 0.0747, "theta": -0.0053, "rho": -0.1326, "theo": 13.1895, "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": 13.8499999046326}], "symbol": "PAMC", "security_type": "stock", "exchange_id": 3, "current_price": 49.4349, "price_change": 1.2149, "price_change_percent": 2.5195, "bid": 37.05, "ask": 61.99, "bid_size": 100, "ask_size": 100, "open": 48.79, "high": 49.59, "low": 49.3, "close": 49.4349, "prev_day_close": 48.22, "volume": 1696, "iv30": 30.624, "iv30_change": 1.506, "iv30_change_percent": 5.1721, "seqno": 10406364620, "last_trade_time": "2026-11-09T15:39:48", "tick": "up"}, "symbol": "PAMC"}