{"timestamp": "2026-11-10 01:50:56", "data": {"options": [{"option": "AAPD261120C00001000", "bid": 8.4, "bid_size": 831.0, "ask": 9.1, "ask_size": 831.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 8.765, "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": 9.0499997138977}, {"option": "AAPD261120P00001000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 290.0, "iv": 6.4939, "open_interest": 0.0, "volume": 0.0, "delta": -0.0005, "gamma": 0.0002, "vega": 0.0, "theta": -0.0005, "rho": 0.0, "theo": 0.0012, "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": 0.025000000372529}, {"option": "AAPD261120C00002000", "bid": 7.4, "bid_size": 835.0, "ask": 8.1, "ask_size": 835.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 7.765, "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": 8.0499997138977}, {"option": "AAPD261120P00002000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 6.3647, "open_interest": 1.0, "volume": 0.0, "delta": -0.0011, "gamma": 0.0007, "vega": 0.0001, "theta": -0.0008, "rho": 0.0, "theo": 0.0019, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-10-08T10:52:23", "percent_change": 0.0, "prev_day_close": 0.150000005960464}, {"option": "AAPD261120C00003000", "bid": 6.4, "bid_size": 835.0, "ask": 7.1, "ask_size": 835.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 6.765, "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": "AAPD261120P00003000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 406.0, "iv": 4.7829, "open_interest": 0.0, "volume": 0.0, "delta": -0.002, "gamma": 0.0015, "vega": 0.0001, "theta": -0.001, "rho": 0.0, "theo": 0.0027, "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": 0.150000005960464}, {"option": "AAPD261120C00004000", "bid": 5.4, "bid_size": 831.0, "ask": 6.1, "ask_size": 831.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 5.765, "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": 6.0}, {"option": "AAPD261120P00004000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 406.0, "iv": 3.7111, "open_interest": 0.0, "volume": 0.0, "delta": -0.0035, "gamma": 0.0031, "vega": 0.0002, "theta": -0.0014, "rho": 0.0, "theo": 0.0039, "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": 0.150000005960464}, {"option": "AAPD261120C00005000", "bid": 4.4, "bid_size": 831.0, "ask": 5.1, "ask_size": 831.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 4.765, "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": 5.04999995231628}, {"option": "AAPD261120P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 2.8944, "open_interest": 0.0, "volume": 0.0, "delta": -0.0062, "gamma": 0.0064, "vega": 0.0003, "theta": -0.0019, "rho": 0.0, "theo": 0.0057, "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": 0.150000005960464}, {"option": "AAPD261120C00006000", "bid": 3.4, "bid_size": 797.0, "ask": 4.1, "ask_size": 829.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9997, "gamma": 0.0016, "vega": 0.0, "theta": -0.0052, "rho": 0.0, "theo": 3.765, "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": 4.05000007152557}, {"option": "AAPD261120P00006000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 881.0, "iv": 2.2266, "open_interest": 0.0, "volume": 0.0, "delta": -0.0114, "gamma": 0.0138, "vega": 0.0005, "theta": -0.0026, "rho": 0.0, "theo": 0.0088, "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": 0.150000005960464}, {"option": "AAPD261120C00007000", "bid": 2.4, "bid_size": 831.0, "ask": 3.1, "ask_size": 831.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9974, "gamma": 0.015, "vega": 0.0001, "theta": -0.0053, "rho": 0.0001, "theo": 2.7651, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.72, "last_trade_time": "2026-11-04T10:25:13", "percent_change": 0.0, "prev_day_close": 3.05000007152557}, {"option": "AAPD261120P00007000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 881.0, "iv": 1.6514, "open_interest": 1.0, "volume": 0.0, "delta": -0.0228, "gamma": 0.0324, "vega": 0.0009, "theta": -0.0037, "rho": -0.0001, "theo": 0.0145, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.05, "last_trade_time": "2026-10-28T09:55:33", "percent_change": 0.0, "prev_day_close": 0.150000005960464}, {"option": "AAPD261120C00008000", "bid": 1.4, "bid_size": 836.0, "ask": 2.1, "ask_size": 836.0, "iv": 0.0, "open_interest": 7.0, "volume": 0.0, "delta": 0.9799, "gamma": 0.0978, "vega": 0.0007, "theta": -0.0066, "rho": 0.0003, "theo": 1.7674, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.9, "last_trade_time": "2026-11-04T09:36:35", "percent_change": 0.0, "prev_day_close": 2.0}, {"option": "AAPD261120P00008000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 869.0, "iv": 1.1314, "open_interest": 0.0, "volume": 0.0, "delta": -0.0526, "gamma": 0.0888, "vega": 0.0018, "theta": -0.0056, "rho": -0.0002, "theo": 0.0273, "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": 0.150000005960464}, {"option": "AAPD261120C00009000", "bid": 0.4, "bid_size": 844.0, "ask": 1.05, "ask_size": 786.0, "iv": 0.0, "open_interest": 57.0, "volume": 0.0, "delta": 0.8699, "gamma": 0.3642, "vega": 0.0034, "theta": -0.01, "rho": 0.0011, "theo": 0.7924, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.06, "last_trade_time": "2026-11-06T11:38:10", "percent_change": 0.0, "prev_day_close": 1.07499998807907}, {"option": "AAPD261120P00009000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 824.0, "iv": 0.6274, "open_interest": 1.0, "volume": 0.0, "delta": -0.1654, "gamma": 0.3173, "vega": 0.0042, "theta": -0.0087, "rho": -0.0006, "theo": 0.0702, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.15, "last_trade_time": "2026-10-27T11:11:51", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "AAPD261120C00010000", "bid": 0.1, "bid_size": 5.0, "ask": 0.2, "ask_size": 842.0, "iv": 0.3975, "open_interest": 236.0, "volume": 67.0, "delta": 0.3263, "gamma": 0.6251, "vega": 0.0061, "theta": -0.01, "rho": 0.0008, "theo": 0.1192, "change": -0.05, "open": 0.15, "high": 0.2, "low": 0.1, "tick": "no_change", "last_trade_price": 0.2, "last_trade_time": "2026-11-09T15:46:10", "percent_change": -20.0, "prev_day_close": 0.250000007450581}, {"option": "AAPD261120P00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.95, "ask_size": 499.0, "iv": 0.436, "open_interest": 93.0, "volume": 0.0, "delta": -0.679, "gamma": 0.5945, "vega": 0.006, "theta": -0.0095, "rho": -0.0025, "theo": 0.4207, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-11-06T12:46:56", "percent_change": 0.0, "prev_day_close": 0.200000002980232}, {"option": "AAPD261120C00011000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 481.0, "iv": 0.4812, "open_interest": 575.0, "volume": 1.0, "delta": 0.0815, "gamma": 0.1777, "vega": 0.0026, "theta": -0.0056, "rho": 0.0002, "theo": 0.0295, "change": 0.025, "open": 0.05, "high": 0.05, "low": 0.05, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-11-09T09:59:06", "percent_change": 100.0, "prev_day_close": 0.025000000372529}, {"option": "AAPD261120P00011000", "bid": 0.9, "bid_size": 793.0, "ask": 1.85, "ask_size": 182.0, "iv": 0.6332, "open_interest": 35.0, "volume": 0.0, "delta": -0.9115, "gamma": 0.173, "vega": 0.0025, "theta": -0.0053, "rho": -0.0036, "theo": 1.3335, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.2, "last_trade_time": "2026-11-04T09:32:52", "percent_change": 0.0, "prev_day_close": 1.17500001192093}, {"option": "AAPD261120C00012000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 862.0, "iv": 1.0688, "open_interest": 23.0, "volume": 0.0, "delta": 0.0342, "gamma": 0.0684, "vega": 0.0013, "theta": -0.0035, "rho": 0.0001, "theo": 0.0137, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.03, "last_trade_time": "2026-11-05T09:52:20", "percent_change": 0.0, "prev_day_close": 0.025000000372529}, {"option": "AAPD261120P00012000", "bid": 1.9, "bid_size": 832.0, "ask": 2.9, "ask_size": 46.0, "iv": 0.9956, "open_interest": 0.0, "volume": 0.0, "delta": -0.9575, "gamma": 0.0672, "vega": 0.0013, "theta": -0.0032, "rho": -0.0042, "theo": 2.3165, "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": 2.14999997615814}, {"option": "AAPD261120C00013000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 884.0, "iv": 1.3973, "open_interest": 0.0, "volume": 0.0, "delta": 0.0182, "gamma": 0.0336, "vega": 0.0008, "theta": -0.0024, "rho": 0.0, "theo": 0.0079, "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": 0.150000005960464}, {"option": "AAPD261120P00013000", "bid": 2.9, "bid_size": 831.0, "ask": 3.9, "ask_size": 182.0, "iv": 1.25, "open_interest": 0.0, "volume": 0.0, "delta": -0.9731, "gamma": 0.0331, "vega": 0.0008, "theta": -0.002, "rho": -0.0046, "theo": 3.3093, "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": 3.14999997615814}, {"option": "AAPD261120C00014000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 843.0, "iv": 1.6297, "open_interest": 0.0, "volume": 0.0, "delta": 0.011, "gamma": 0.0191, "vega": 0.0005, "theta": -0.0017, "rho": 0.0, "theo": 0.0052, "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": 0.150000005960464}, {"option": "AAPD261120P00014000", "bid": 3.9, "bid_size": 820.0, "ask": 4.9, "ask_size": 182.0, "iv": 1.4745, "open_interest": 0.0, "volume": 0.0, "delta": -0.9801, "gamma": 0.0189, "vega": 0.0005, "theta": -0.0012, "rho": -0.0049, "theo": 4.3049, "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": 4.09999990463257}, {"option": "AAPD261120C00015000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 843.0, "iv": 1.8364, "open_interest": 0.0, "volume": 0.0, "delta": 0.0073, "gamma": 0.0119, "vega": 0.0003, "theta": -0.0013, "rho": 0.0, "theo": 0.0036, "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": 0.150000005960464}, {"option": "AAPD261120P00015000", "bid": 4.9, "bid_size": 836.0, "ask": 5.9, "ask_size": 182.0, "iv": 1.6763, "open_interest": 0.0, "volume": 0.0, "delta": -0.9838, "gamma": 0.0118, "vega": 0.0003, "theta": -0.0007, "rho": -0.0053, "theo": 5.3018, "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": 5.09999990463257}, {"option": "AAPD261120C00016000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 837.0, "iv": 2.0233, "open_interest": 0.0, "volume": 0.0, "delta": 0.0051, "gamma": 0.008, "vega": 0.0002, "theta": -0.001, "rho": 0.0, "theo": 0.0026, "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": 0.150000005960464}, {"option": "AAPD261120P00016000", "bid": 5.9, "bid_size": 831.0, "ask": 6.9, "ask_size": 182.0, "iv": 1.8602, "open_interest": 0.0, "volume": 0.0, "delta": -0.986, "gamma": 0.0079, "vega": 0.0002, "theta": -0.0003, "rho": -0.0057, "theo": 6.2993, "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": 6.09999990463257}, {"option": "AAPD261120C00017000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 887.0, "iv": 2.1939, "open_interest": 0.0, "volume": 0.0, "delta": 0.0037, "gamma": 0.0056, "vega": 0.0002, "theta": -0.0008, "rho": 0.0, "theo": 0.002, "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": 0.150000005960464}, {"option": "AAPD261120P00017000", "bid": 6.8, "bid_size": 835.0, "ask": 7.9, "ask_size": 182.0, "iv": 1.7898, "open_interest": 0.0, "volume": 0.0, "delta": -0.9874, "gamma": 0.0056, "vega": 0.0002, "theta": 0.0, "rho": -0.006, "theo": 7.297, "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": 7.04999995231628}, {"option": "AAPD261120C00018000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 834.0, "iv": 2.3506, "open_interest": 0.0, "volume": 0.0, "delta": 0.0028, "gamma": 0.0041, "vega": 0.0001, "theta": -0.0007, "rho": 0.0, "theo": 0.0016, "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": 0.150000005960464}, {"option": "AAPD261120P00018000", "bid": 7.8, "bid_size": 831.0, "ask": 8.9, "ask_size": 182.0, "iv": 1.939, "open_interest": 0.0, "volume": 0.0, "delta": -0.9883, "gamma": 0.0041, "vega": 0.0001, "theta": 0.0, "rho": -0.0064, "theo": 8.295, "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": 8.05000019073486}, {"option": "AAPD261120C00019000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 881.0, "iv": 2.4957, "open_interest": 0.0, "volume": 0.0, "delta": 0.0022, "gamma": 0.0031, "vega": 0.0001, "theta": -0.0005, "rho": 0.0, "theo": 0.0012, "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": 0.150000005960464}, {"option": "AAPD261120P00019000", "bid": 8.7, "bid_size": 835.0, "ask": 9.9, "ask_size": 182.0, "iv": 1.5758, "open_interest": 0.0, "volume": 0.0, "delta": -0.9889, "gamma": 0.0031, "vega": 0.0001, "theta": 0.0, "rho": -0.0067, "theo": 9.2931, "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": 9.10000038146973}, {"option": "AAPD261120C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 406.0, "iv": 2.631, "open_interest": 0.0, "volume": 0.0, "delta": 0.0018, "gamma": 0.0024, "vega": 0.0001, "theta": -0.0005, "rho": 0.0, "theo": 0.001, "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": 0.150000005960464}, {"option": "AAPD261120P00020000", "bid": 9.7, "bid_size": 797.0, "ask": 10.9, "ask_size": 182.0, "iv": 1.712, "open_interest": 0.0, "volume": 0.0, "delta": -0.9893, "gamma": 0.0024, "vega": 0.0001, "theta": 0.0, "rho": -0.0071, "theo": 10.2913, "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": 10.0}, {"option": "AAPD261120C00021000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 405.0, "iv": 2.7576, "open_interest": 0.0, "volume": 0.0, "delta": 0.0014, "gamma": 0.0019, "vega": 0.0001, "theta": -0.0004, "rho": 0.0, "theo": 0.0008, "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": 0.150000005960464}, {"option": "AAPD261120P00021000", "bid": 10.6, "bid_size": 831.0, "ask": 11.9, "ask_size": 182.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9897, "gamma": 0.0019, "vega": 0.0001, "theta": 0.0, "rho": -0.0075, "theo": 11.2895, "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": "AAPD261218C00001000", "bid": 8.3, "bid_size": 560.0, "ask": 9.2, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9984, "gamma": 0.0016, "vega": 0.0, "theta": -0.0041, "rho": 0.0, "theo": 8.765, "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": 8.9500002861023}, {"option": "AAPD261218P00001000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 260.0, "iv": 3.4382, "open_interest": 0.0, "volume": 0.0, "delta": -0.0072, "gamma": 0.0016, "vega": 0.0006, "theta": -0.0031, "rho": -0.0001, "theo": 0.0448, "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": 0.025000000372529}, {"option": "AAPD261218C00002000", "bid": 7.3, "bid_size": 560.0, "ask": 8.2, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9953, "gamma": 0.0048, "vega": 0.0003, "theta": -0.0058, "rho": 0.0002, "theo": 7.7671, "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": 7.95000004768372}, {"option": "AAPD261218P00002000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 3.367, "open_interest": 0.0, "volume": 0.0, "delta": -0.0141, "gamma": 0.0041, "vega": 0.0011, "theta": -0.004, "rho": -0.0002, "theo": 0.0604, "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": 0.150000005960464}, {"option": "AAPD261218C00003000", "bid": 6.3, "bid_size": 560.0, "ask": 7.1, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9907, "gamma": 0.01, "vega": 0.0005, "theta": -0.0074, "rho": 0.0004, "theo": 6.7696, "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": "AAPD261218P00003000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 2.5244, "open_interest": 0.0, "volume": 0.0, "delta": -0.0223, "gamma": 0.0077, "vega": 0.0017, "theta": -0.0046, "rho": -0.0003, "theo": 0.0733, "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": 0.150000005960464}, {"option": "AAPD261218C00004000", "bid": 5.3, "bid_size": 560.0, "ask": 6.2, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.984, "gamma": 0.0185, "vega": 0.0007, "theta": -0.0072, "rho": 0.0005, "theo": 5.7726, "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": 5.95000004768372}, {"option": "AAPD261218P00004000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 1.9532, "open_interest": 0.0, "volume": 0.0, "delta": -0.0328, "gamma": 0.0133, "vega": 0.0023, "theta": -0.005, "rho": -0.0004, "theo": 0.0863, "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": 0.150000005960464}, {"option": "AAPD261218C00005000", "bid": 4.3, "bid_size": 560.0, "ask": 5.2, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9742, "gamma": 0.0319, "vega": 0.0017, "theta": -0.0074, "rho": 0.0011, "theo": 4.7773, "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": 4.95000004768372}, {"option": "AAPD261218P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 402.0, "iv": 1.5177, "open_interest": 0.0, "volume": 0.0, "delta": -0.047, "gamma": 0.0222, "vega": 0.0031, "theta": -0.0054, "rho": -0.0006, "theo": 0.1008, "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": 0.150000005960464}, {"option": "AAPD261218C00006000", "bid": 3.3, "bid_size": 560.0, "ask": 4.2, "ask_size": 560.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9586, "gamma": 0.0524, "vega": 0.0024, "theta": -0.0073, "rho": 0.0014, "theo": 3.7849, "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": 3.95000004768372}, {"option": "AAPD261218P00006000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 560.0, "iv": 1.1611, "open_interest": 0.0, "volume": 0.0, "delta": -0.0676, "gamma": 0.0372, "vega": 0.0042, "theta": -0.0057, "rho": -0.0009, "theo": 0.1186, "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": 0.150000005960464}, {"option": "AAPD261218C00007000", "bid": 2.35, "bid_size": 560.0, "ask": 3.2, "ask_size": 560.0, "iv": 0.7682, "open_interest": 0.0, "volume": 0.0, "delta": 0.9311, "gamma": 0.0858, "vega": 0.0038, "theta": -0.0077, "rho": 0.0021, "theo": 2.7966, "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": "AAPD261218P00007000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 901.0, "iv": 0.8534, "open_interest": 0.0, "volume": 0.0, "delta": -0.1004, "gamma": 0.0648, "vega": 0.0056, "theta": -0.006, "rho": -0.0012, "theo": 0.1431, "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": 0.150000005960464}, {"option": "AAPD261218C00008000", "bid": 1.35, "bid_size": 560.0, "ask": 2.15, "ask_size": 560.0, "iv": 0.0, "open_interest": 15.0, "volume": 8.0, "delta": 0.8773, "gamma": 0.154, "vega": 0.0059, "theta": -0.0076, "rho": 0.0028, "theo": 1.8198, "change": -0.165, "open": 1.8, "high": 1.9, "low": 1.76, "tick": "down", "last_trade_price": 1.76, "last_trade_time": "2026-11-09T14:43:36", "percent_change": -8.57143, "prev_day_close": 1.92500001192093}, {"option": "AAPD261218P00008000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 888.0, "iv": 0.5741, "open_interest": 0.0, "volume": 0.0, "delta": -0.1604, "gamma": 0.1217, "vega": 0.0077, "theta": -0.0061, "rho": -0.002, "theo": 0.1833, "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": 0.150000005960464}, {"option": "AAPD261218C00009000", "bid": 0.4, "bid_size": 530.0, "ask": 1.15, "ask_size": 853.0, "iv": 0.4847, "open_interest": 7.0, "volume": 1.0, "delta": 0.7361, "gamma": 0.3053, "vega": 0.0098, "theta": -0.0072, "rho": 0.0036, "theo": 0.8908, "change": -0.05, "open": 0.95, "high": 0.95, "low": 0.95, "tick": "down", "last_trade_price": 0.95, "last_trade_time": "2026-11-09T12:56:56", "percent_change": -5.0, "prev_day_close": 1.0}, {"option": "AAPD261218P00009000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 639.0, "iv": 0.2479, "open_interest": 0.0, "volume": 0.0, "delta": -0.3011, "gamma": 0.2514, "vega": 0.011, "theta": -0.006, "rho": -0.0036, "theo": 0.2826, "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": 0.100000001490116}, {"option": "AAPD261218C00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 896.0, "iv": 0.3517, "open_interest": 94.0, "volume": 15.0, "delta": 0.4008, "gamma": 0.3297, "vega": 0.0121, "theta": -0.0065, "rho": 0.003, "theo": 0.319, "change": -0.205, "open": 0.35, "high": 0.35, "low": 0.15, "tick": "down", "last_trade_price": 0.17, "last_trade_time": "2026-11-09T11:33:01", "percent_change": -54.6667, "prev_day_close": 0.375}, {"option": "AAPD261218P00010000", "bid": 0.05, "bid_size": 846.0, "ask": 1.5, "ask_size": 217.0, "iv": 0.4134, "open_interest": 3.0, "volume": 0.0, "delta": -0.5984, "gamma": 0.2988, "vega": 0.0119, "theta": -0.0059, "rho": -0.0074, "theo": 0.7452, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-11-04T09:30:02", "percent_change": 0.0, "prev_day_close": 0.374999994412065}, {"option": "AAPD261218C00011000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 892.0, "iv": 0.5155, "open_interest": 0.0, "volume": 0.0, "delta": 0.2284, "gamma": 0.1873, "vega": 0.0096, "theta": -0.0064, "rho": 0.0019, "theo": 0.1957, "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": 0.224999994039536}, {"option": "AAPD261218P00011000", "bid": 0.9, "bid_size": 812.0, "ask": 2.45, "ask_size": 172.0, "iv": 0.561, "open_interest": 0.0, "volume": 0.0, "delta": -0.7536, "gamma": 0.1784, "vega": 0.0094, "theta": -0.0059, "rho": -0.0101, "theo": 1.6271, "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": 1.50000002980232}, {"option": "AAPD261218C00012000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 861.0, "iv": 0.6599, "open_interest": 4.0, "volume": 0.0, "delta": 0.161, "gamma": 0.121, "vega": 0.0077, "theta": -0.0063, "rho": 0.0014, "theo": 0.1534, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.33, "last_trade_time": "2026-11-02T09:31:20", "percent_change": 0.0, "prev_day_close": 0.174999997019768}, {"option": "AAPD261218P00012000", "bid": 1.9, "bid_size": 833.0, "ask": 3.4, "ask_size": 172.0, "iv": 0.716, "open_interest": 0.0, "volume": 0.0, "delta": -0.8168, "gamma": 0.1171, "vega": 0.0076, "theta": -0.0058, "rho": -0.0119, "theo": 2.5823, "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": "AAPD261218C00013000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 895.0, "iv": 0.8036, "open_interest": 0.0, "volume": 0.0, "delta": 0.1255, "gamma": 0.0871, "vega": 0.0065, "theta": -0.0062, "rho": 0.0011, "theo": 0.1301, "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": 0.174999997019768}, {"option": "AAPD261218P00013000", "bid": 2.85, "bid_size": 831.0, "ask": 4.4, "ask_size": 172.0, "iv": 0.8382, "open_interest": 0.0, "volume": 0.0, "delta": -0.8507, "gamma": 0.085, "vega": 0.0064, "theta": -0.0057, "rho": -0.0133, "theo": 3.5551, "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": 3.375}, {"option": "AAPD261218C00014000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 907.0, "iv": 0.8913, "open_interest": 0.0, "volume": 0.0, "delta": 0.1034, "gamma": 0.0672, "vega": 0.0058, "theta": -0.006, "rho": 0.0009, "theo": 0.1146, "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": 0.150000005960464}, {"option": "AAPD261218P00014000", "bid": 3.8, "bid_size": 830.0, "ask": 5.4, "ask_size": 172.0, "iv": 0.9369, "open_interest": 0.0, "volume": 0.0, "delta": -0.872, "gamma": 0.0658, "vega": 0.0056, "theta": -0.0054, "rho": -0.0147, "theo": 4.5352, "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": 4.39999997615814}, {"option": "AAPD261218C00015000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 917.0, "iv": 1.0008, "open_interest": 0.0, "volume": 0.0, "delta": 0.0883, "gamma": 0.0543, "vega": 0.0051, "theta": -0.0058, "rho": 0.0008, "theo": 0.1034, "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": 0.150000005960464}, {"option": "AAPD261218P00015000", "bid": 4.8, "bid_size": 555.0, "ask": 6.4, "ask_size": 12.0, "iv": 1.0565, "open_interest": 0.0, "volume": 0.0, "delta": -0.8866, "gamma": 0.0533, "vega": 0.005, "theta": -0.0052, "rho": -0.0159, "theo": 5.5192, "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": 5.39999985694885}, {"option": "AAPD261218C00016000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 908.0, "iv": 1.0998, "open_interest": 0.0, "volume": 0.0, "delta": 0.0772, "gamma": 0.0453, "vega": 0.0046, "theta": -0.0057, "rho": 0.0007, "theo": 0.0945, "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": 0.150000005960464}, {"option": "AAPD261218P00016000", "bid": 5.9, "bid_size": 560.0, "ask": 7.4, "ask_size": 145.0, "iv": 1.2408, "open_interest": 0.0, "volume": 0.0, "delta": -0.8974, "gamma": 0.0446, "vega": 0.0045, "theta": -0.005, "rho": -0.0172, "theo": 6.5056, "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": 6.39999985694885}, {"option": "AAPD261218C00017000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 912.0, "iv": 1.1901, "open_interest": 0.0, "volume": 0.0, "delta": 0.0688, "gamma": 0.0387, "vega": 0.0042, "theta": -0.0056, "rho": 0.0006, "theo": 0.0875, "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": 0.150000005960464}, {"option": "AAPD261218P00017000", "bid": 6.8, "bid_size": 560.0, "ask": 8.4, "ask_size": 12.0, "iv": 1.2669, "open_interest": 0.0, "volume": 0.0, "delta": -0.9057, "gamma": 0.0382, "vega": 0.0041, "theta": -0.0048, "rho": -0.0184, "theo": 7.4936, "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": 7.30000019073486}, {"option": "AAPD261218C00018000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 908.0, "iv": 1.2732, "open_interest": 0.0, "volume": 0.0, "delta": 0.062, "gamma": 0.0337, "vega": 0.0039, "theta": -0.0054, "rho": 0.0005, "theo": 0.0815, "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": 0.150000005960464}, {"option": "AAPD261218P00018000", "bid": 7.7, "bid_size": 555.0, "ask": 9.4, "ask_size": 165.0, "iv": 1.2721, "open_interest": 0.0, "volume": 0.0, "delta": -0.9122, "gamma": 0.0333, "vega": 0.0038, "theta": -0.0045, "rho": -0.0195, "theo": 8.4827, "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": 8.35000014305115}, {"option": "AAPD261218C00019000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 904.0, "iv": 1.3503, "open_interest": 0.0, "volume": 0.0, "delta": 0.0566, "gamma": 0.0298, "vega": 0.0036, "theta": -0.0053, "rho": 0.0005, "theo": 0.0765, "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": 0.150000005960464}, {"option": "AAPD261218P00019000", "bid": 8.7, "bid_size": 560.0, "ask": 10.4, "ask_size": 165.0, "iv": 1.3587, "open_interest": 0.0, "volume": 0.0, "delta": -0.9176, "gamma": 0.0295, "vega": 0.0036, "theta": -0.0043, "rho": -0.0207, "theo": 9.4727, "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": 9.35000038146973}, {"option": "AAPD261218C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 908.0, "iv": 1.422, "open_interest": 0.0, "volume": 0.0, "delta": 0.0521, "gamma": 0.0267, "vega": 0.0034, "theta": -0.0052, "rho": 0.0004, "theo": 0.0721, "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": 0.150000005960464}, {"option": "AAPD261218P00020000", "bid": 9.7, "bid_size": 538.0, "ask": 11.4, "ask_size": 148.0, "iv": 1.4404, "open_interest": 0.0, "volume": 0.0, "delta": -0.9221, "gamma": 0.0264, "vega": 0.0033, "theta": -0.0041, "rho": -0.0218, "theo": 10.4634, "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": 10.25}, {"option": "AAPD270115C00002000", "bid": 7.3, "bid_size": 500.0, "ask": 8.2, "ask_size": 345.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9974, "gamma": 0.0033, "vega": 0.0, "theta": -0.0053, "rho": 0.0, "theo": 7.765, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.1, "last_trade_time": "2026-06-09T11:44:40", "percent_change": 0.0, "prev_day_close": 8.04999995231628}, {"option": "AAPD270115P00002000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 342.0, "iv": 2.7548, "open_interest": 1.0, "volume": 0.0, "delta": -0.0181, "gamma": 0.0046, "vega": 0.0018, "theta": -0.0031, "rho": -0.0005, "theo": 0.0905, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.04, "last_trade_time": "2026-08-11T12:51:30", "percent_change": 0.0, "prev_day_close": 0.200000002980232}, {"option": "AAPD270115C00003000", "bid": 6.3, "bid_size": 500.0, "ask": 7.2, "ask_size": 341.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9941, "gamma": 0.0096, "vega": 0.0, "theta": -0.0053, "rho": 0.0, "theo": 6.765, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.06, "last_trade_time": "2026-06-15T13:36:08", "percent_change": 0.0, "prev_day_close": 7.04999995231628}, {"option": "AAPD270115P00003000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 342.0, "iv": 2.058, "open_interest": 0.0, "volume": 0.0, "delta": -0.0286, "gamma": 0.0088, "vega": 0.0027, "theta": -0.0035, "rho": -0.0007, "theo": 0.1095, "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": 0.200000002980232}, {"option": "AAPD270115C00004000", "bid": 5.3, "bid_size": 500.0, "ask": 6.2, "ask_size": 500.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.989, "gamma": 0.022, "vega": 0.0, "theta": -0.0053, "rho": 0.0, "theo": 5.765, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 8.26, "last_trade_time": "2026-06-12T13:35:00", "percent_change": 0.0, "prev_day_close": 6.04999995231628}, {"option": "AAPD270115P00004000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 342.0, "iv": 1.5892, "open_interest": 0.0, "volume": 0.0, "delta": -0.0419, "gamma": 0.015, "vega": 0.0037, "theta": -0.0039, "rho": -0.001, "theo": 0.1283, "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": 0.200000002980232}, {"option": "AAPD270115C00005000", "bid": 4.3, "bid_size": 500.0, "ask": 5.2, "ask_size": 500.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9809, "gamma": 0.0398, "vega": 0.0016, "theta": -0.0061, "rho": 0.0012, "theo": 4.7676, "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": 5.04999995231628}, {"option": "AAPD270115P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 500.0, "iv": 1.2329, "open_interest": 0.0, "volume": 0.0, "delta": -0.0598, "gamma": 0.0246, "vega": 0.0049, "theta": -0.0041, "rho": -0.0014, "theo": 0.1492, "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": 0.200000002980232}, {"option": "AAPD270115C00006000", "bid": 3.3, "bid_size": 500.0, "ask": 4.2, "ask_size": 500.0, "iv": 0.0, "open_interest": 5.0, "volume": 0.0, "delta": 0.9663, "gamma": 0.0645, "vega": 0.0027, "theta": -0.0066, "rho": 0.0018, "theo": 3.7738, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.98, "last_trade_time": "2026-11-06T10:14:48", "percent_change": 0.0, "prev_day_close": 4.04999995231628}, {"option": "AAPD270115P00006000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 757.0, "iv": 0.9414, "open_interest": 0.0, "volume": 0.0, "delta": -0.0853, "gamma": 0.0406, "vega": 0.0065, "theta": -0.0043, "rho": -0.0019, "theo": 0.175, "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": 0.200000002980232}, {"option": "AAPD270115C00007000", "bid": 2.3, "bid_size": 500.0, "ask": 3.2, "ask_size": 500.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9374, "gamma": 0.1042, "vega": 0.004, "theta": -0.0065, "rho": 0.0023, "theo": 2.7844, "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": 3.04999995231628}, {"option": "AAPD270115P00007000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 756.0, "iv": 0.6895, "open_interest": 0.0, "volume": 0.0, "delta": -0.1254, "gamma": 0.0689, "vega": 0.0085, "theta": -0.0044, "rho": -0.0027, "theo": 0.2109, "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": 0.200000002980232}, {"option": "AAPD270115C00008000", "bid": 1.3, "bid_size": 500.0, "ask": 2.15, "ask_size": 500.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.8763, "gamma": 0.1866, "vega": 0.0072, "theta": -0.0066, "rho": 0.0036, "theo": 1.8082, "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": 1.97499996423721}, {"option": "AAPD270115P00008000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 754.0, "iv": 0.4594, "open_interest": 11.0, "volume": 0.0, "delta": -0.1972, "gamma": 0.1235, "vega": 0.0114, "theta": -0.0044, "rho": -0.0042, "theo": 0.2717, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.22, "last_trade_time": "2026-07-24T12:52:13", "percent_change": 0.0, "prev_day_close": 0.200000002980232}, {"option": "AAPD270115C00009000", "bid": 0.35, "bid_size": 691.0, "ask": 1.2, "ask_size": 714.0, "iv": 0.2576, "open_interest": 4.0, "volume": 0.0, "delta": 0.7092, "gamma": 0.3125, "vega": 0.0128, "theta": -0.0059, "rho": 0.0051, "theo": 0.905, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-11-05T14:50:24", "percent_change": 0.0, "prev_day_close": 0.950000017881394}, {"option": "AAPD270115P00009000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 674.0, "iv": 0.2636, "open_interest": 4.0, "volume": 0.0, "delta": -0.3522, "gamma": 0.2228, "vega": 0.015, "theta": -0.0043, "rho": -0.0074, "theo": 0.4285, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.15, "last_trade_time": "2026-10-23T09:30:15", "percent_change": 0.0, "prev_day_close": 0.224999994039536}, {"option": "AAPD270115C00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.45, "ask_size": 719.0, "iv": 0.266, "open_interest": 91.0, "volume": 1.0, "delta": 0.4039, "gamma": 0.2712, "vega": 0.0155, "theta": -0.005, "rho": 0.0046, "theo": 0.395, "change": 0.005, "open": 0.38, "high": 0.38, "low": 0.38, "tick": "down", "last_trade_price": 0.38, "last_trade_time": "2026-11-09T09:51:20", "percent_change": 1.33333, "prev_day_close": 0.375}, {"option": "AAPD270115P00010000", "bid": 0.15, "bid_size": 708.0, "ask": 1.9, "ask_size": 187.0, "iv": 0.4099, "open_interest": 0.0, "volume": 0.0, "delta": -0.5922, "gamma": 0.2274, "vega": 0.0152, "theta": -0.0042, "rho": -0.013, "theo": 0.9772, "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": 0.5999999884516}, {"option": "AAPD270115C00011000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 727.0, "iv": 0.461, "open_interest": 84.0, "volume": 0.0, "delta": 0.2511, "gamma": 0.1675, "vega": 0.013, "theta": -0.0048, "rho": 0.0033, "theo": 0.2589, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.25, "last_trade_time": "2026-11-06T10:07:47", "percent_change": 0.0, "prev_day_close": 0.275000005960464}, {"option": "AAPD270115P00011000", "bid": 0.95, "bid_size": 656.0, "ask": 2.75, "ask_size": 14.0, "iv": 0.4665, "open_interest": 6.0, "volume": 0.0, "delta": -0.7182, "gamma": 0.1522, "vega": 0.0126, "theta": -0.0042, "rho": -0.017, "theo": 1.8518, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.02, "last_trade_time": "2026-09-29T11:21:04", "percent_change": 0.0, "prev_day_close": 1.69999998807907}, {"option": "AAPD270115C00012000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 718.0, "iv": 0.5532, "open_interest": 6.0, "volume": 0.0, "delta": 0.1839, "gamma": 0.1149, "vega": 0.0111, "theta": -0.0046, "rho": 0.0026, "theo": 0.2056, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.41, "last_trade_time": "2026-10-06T10:23:51", "percent_change": 0.0, "prev_day_close": 0.224999994039536}, {"option": "AAPD270115P00012000", "bid": 1.9, "bid_size": 707.0, "ask": 3.7, "ask_size": 13.0, "iv": 0.5623, "open_interest": 0.0, "volume": 0.0, "delta": -0.7774, "gamma": 0.1075, "vega": 0.0106, "theta": -0.004, "rho": -0.0199, "theo": 2.7959, "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": 2.625}, {"option": "AAPD270115C00013000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 779.0, "iv": 0.6643, "open_interest": 37.0, "volume": 0.0, "delta": 0.1466, "gamma": 0.0859, "vega": 0.0096, "theta": -0.0045, "rho": 0.0021, "theo": 0.1756, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.1, "last_trade_time": "2026-11-02T14:07:09", "percent_change": 0.0, "prev_day_close": 0.200000002980232}, {"option": "AAPD270115P00013000", "bid": 2.9, "bid_size": 674.0, "ask": 4.7, "ask_size": 13.0, "iv": 0.6814, "open_interest": 3.0, "volume": 0.0, "delta": -0.8113, "gamma": 0.0816, "vega": 0.0092, "theta": -0.0039, "rho": -0.0224, "theo": 3.7598, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.98, "last_trade_time": "2026-10-06T10:23:51", "percent_change": 0.0, "prev_day_close": 3.55000007152557}, {"option": "AAPD270115C00014000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 1.0, "iv": 0.6371, "open_interest": 16.0, "volume": 0.0, "delta": 0.1228, "gamma": 0.068, "vega": 0.0084, "theta": -0.0044, "rho": 0.0017, "theo": 0.1557, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.12, "last_trade_time": "2026-09-16T12:31:47", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "AAPD270115P00014000", "bid": 3.8, "bid_size": 655.0, "ask": 5.7, "ask_size": 166.0, "iv": 0.7321, "open_interest": 0.0, "volume": 0.0, "delta": -0.8335, "gamma": 0.0652, "vega": 0.0082, "theta": -0.0037, "rho": -0.0247, "theo": 4.7325, "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": 4.55000007152557}, {"option": "AAPD270115C00015000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 700.0, "iv": 0.8186, "open_interest": 0.0, "volume": 0.0, "delta": 0.106, "gamma": 0.056, "vega": 0.0076, "theta": -0.0044, "rho": 0.0015, "theo": 0.1407, "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": 0.174999997019768}, {"option": "AAPD270115P00015000", "bid": 4.8, "bid_size": 690.0, "ask": 6.7, "ask_size": 166.0, "iv": 0.8269, "open_interest": 110.0, "volume": 0.0, "delta": -0.8492, "gamma": 0.054, "vega": 0.0074, "theta": -0.0036, "rho": -0.0269, "theo": 5.7099, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.45, "last_trade_time": "2026-10-29T12:27:08", "percent_change": 0.0, "prev_day_close": 5.30000019073486}, {"option": "AAPD270115C00016000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 735.0, "iv": 0.8956, "open_interest": 0.0, "volume": 0.0, "delta": 0.0937, "gamma": 0.0475, "vega": 0.0069, "theta": -0.0042, "rho": 0.0013, "theo": 0.1293, "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": 0.174999997019768}, {"option": "AAPD270115P00016000", "bid": 5.8, "bid_size": 462.0, "ask": 7.7, "ask_size": 127.0, "iv": 0.9144, "open_interest": 0.0, "volume": 0.0, "delta": -0.8609, "gamma": 0.046, "vega": 0.0068, "theta": -0.0034, "rho": -0.029, "theo": 6.6902, "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": 6.45000004768372}, {"option": "AAPD270115C00017000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 738.0, "iv": 0.9655, "open_interest": 0.0, "volume": 0.0, "delta": 0.084, "gamma": 0.0412, "vega": 0.0064, "theta": -0.0042, "rho": 0.0012, "theo": 0.1198, "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": 0.174999997019768}, {"option": "AAPD270115P00017000", "bid": 6.7, "bid_size": 449.0, "ask": 8.7, "ask_size": 6.0, "iv": 0.9283, "open_interest": 0.0, "volume": 0.0, "delta": -0.87, "gamma": 0.04, "vega": 0.0062, "theta": -0.0032, "rho": -0.031, "theo": 7.6725, "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": 7.49999976158142}, {"option": "AAPD270115C00018000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 757.0, "iv": 1.0298, "open_interest": 0.0, "volume": 0.0, "delta": 0.0764, "gamma": 0.0363, "vega": 0.0059, "theta": -0.0041, "rho": 0.0011, "theo": 0.1121, "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": 0.174999997019768}, {"option": "AAPD270115P00018000", "bid": 7.7, "bid_size": 466.0, "ask": 9.7, "ask_size": 131.0, "iv": 1.0041, "open_interest": 0.0, "volume": 0.0, "delta": -0.8774, "gamma": 0.0353, "vega": 0.0058, "theta": -0.003, "rho": -0.033, "theo": 8.6563, "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": 8.39999985694885}, {"option": "AAPD270115C00019000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 789.0, "iv": 1.0896, "open_interest": 0.0, "volume": 0.0, "delta": 0.0701, "gamma": 0.0324, "vega": 0.0055, "theta": -0.004, "rho": 0.001, "theo": 0.1055, "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": 0.174999997019768}, {"option": "AAPD270115P00019000", "bid": 8.6, "bid_size": 462.0, "ask": 10.7, "ask_size": 127.0, "iv": 0.9952, "open_interest": 0.0, "volume": 0.0, "delta": -0.8835, "gamma": 0.0316, "vega": 0.0054, "theta": -0.0028, "rho": -0.0349, "theo": 9.6412, "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": 9.44999980926514}, {"option": "AAPD270115C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 790.0, "iv": 1.1453, "open_interest": 0.0, "volume": 0.0, "delta": 0.0648, "gamma": 0.0292, "vega": 0.0052, "theta": -0.0039, "rho": 0.0009, "theo": 0.0996, "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": 0.174999997019768}, {"option": "AAPD270115P00020000", "bid": 9.6, "bid_size": 454.0, "ask": 11.7, "ask_size": 119.0, "iv": 1.0636, "open_interest": 0.0, "volume": 0.0, "delta": -0.8886, "gamma": 0.0286, "vega": 0.0051, "theta": -0.0026, "rho": -0.0368, "theo": 10.6269, "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": 10.3499999046326}, {"option": "AAPD270115C00021000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 793.0, "iv": 1.1972, "open_interest": 0.0, "volume": 0.0, "delta": 0.0603, "gamma": 0.0266, "vega": 0.0049, "theta": -0.0038, "rho": 0.0008, "theo": 0.0946, "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": 0.174999997019768}, {"option": "AAPD270115P00021000", "bid": 10.5, "bid_size": 341.0, "ask": 12.7, "ask_size": 104.0, "iv": 1.0299, "open_interest": 0.0, "volume": 0.0, "delta": -0.893, "gamma": 0.0261, "vega": 0.0049, "theta": -0.0024, "rho": -0.0386, "theo": 11.6134, "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": 11.3999996185303}, {"option": "AAPD270115C00022000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 765.0, "iv": 1.2459, "open_interest": 0.0, "volume": 0.0, "delta": 0.0565, "gamma": 0.0244, "vega": 0.0047, "theta": -0.0038, "rho": 0.0008, "theo": 0.0901, "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": 0.174999997019768}, {"option": "AAPD270115P00022000", "bid": 11.5, "bid_size": 449.0, "ask": 13.7, "ask_size": 6.0, "iv": 1.0943, "open_interest": 0.0, "volume": 0.0, "delta": -0.8968, "gamma": 0.024, "vega": 0.0046, "theta": -0.0023, "rho": -0.0403, "theo": 12.6004, "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": 12.25}, {"option": "AAPD270416C00001000", "bid": 8.1, "bid_size": 234.0, "ask": 9.3, "ask_size": 234.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0048, "rho": 0.0, "theo": 8.765, "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": "AAPD270416P00001000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 60.0, "iv": 1.6848, "open_interest": 0.0, "volume": 0.0, "delta": -0.0118, "gamma": 0.0021, "vega": 0.002, "theta": -0.0014, "rho": -0.001, "theo": 0.1082, "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": 0.025000000372529}, {"option": "AAPD270416C00002000", "bid": 7.1, "bid_size": 233.0, "ask": 8.3, "ask_size": 233.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9998, "gamma": 0.0002, "vega": 0.0, "theta": -0.0048, "rho": 0.0, "theo": 7.765, "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": 8.00000023841858}, {"option": "AAPD270416P00002000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 122.0, "iv": 1.9536, "open_interest": 0.0, "volume": 0.0, "delta": -0.024, "gamma": 0.0053, "vega": 0.0036, "theta": -0.0018, "rho": -0.0017, "theo": 0.1483, "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": 0.275000005960464}, {"option": "AAPD270416C00003000", "bid": 6.1, "bid_size": 232.0, "ask": 7.3, "ask_size": 232.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9975, "gamma": 0.0036, "vega": 0.0, "theta": -0.0048, "rho": 0.0, "theo": 6.765, "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": 7.0}, {"option": "AAPD270416P00003000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 122.0, "iv": 1.4497, "open_interest": 0.0, "volume": 0.0, "delta": -0.0384, "gamma": 0.01, "vega": 0.0052, "theta": -0.0021, "rho": -0.0024, "theo": 0.1808, "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": 0.275000005960464}, {"option": "AAPD270416C00004000", "bid": 5.1, "bid_size": 232.0, "ask": 6.3, "ask_size": 232.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9938, "gamma": 0.0112, "vega": 0.0, "theta": -0.0048, "rho": 0.0, "theo": 5.765, "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": 6.0}, {"option": "AAPD270416P00004000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 122.0, "iv": 1.1144, "open_interest": 0.0, "volume": 0.0, "delta": -0.0564, "gamma": 0.0169, "vega": 0.0071, "theta": -0.0023, "rho": -0.0033, "theo": 0.2129, "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": 0.275000005960464}, {"option": "AAPD270416C00005000", "bid": 4.1, "bid_size": 232.0, "ask": 5.3, "ask_size": 232.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9863, "gamma": 0.0302, "vega": 0.0, "theta": -0.0048, "rho": 0.0, "theo": 4.765, "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": "AAPD270416P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.55, "ask_size": 220.0, "iv": 0.8606, "open_interest": 0.0, "volume": 0.0, "delta": -0.0802, "gamma": 0.0274, "vega": 0.0093, "theta": -0.0024, "rho": -0.0045, "theo": 0.2488, "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": 0.275000005960464}, {"option": "AAPD270416C00006000", "bid": 3.1, "bid_size": 254.0, "ask": 4.3, "ask_size": 254.0, "iv": 0.0, "open_interest": 2.0, "volume": 10.0, "delta": 0.9719, "gamma": 0.0661, "vega": 0.0029, "theta": -0.0053, "rho": 0.0022, "theo": 3.7681, "change": -0.19, "open": 3.8, "high": 3.81, "low": 3.8, "tick": "up", "last_trade_price": 3.81, "last_trade_time": "2026-11-09T15:34:21", "percent_change": -4.75, "prev_day_close": 4.0}, {"option": "AAPD270416P00006000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 283.0, "iv": 0.6313, "open_interest": 2.0, "volume": 0.0, "delta": -0.114, "gamma": 0.044, "vega": 0.012, "theta": -0.0025, "rho": -0.0061, "theo": 0.294, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-09-01T12:40:35", "percent_change": 0.0, "prev_day_close": 0.275000005960464}, {"option": "AAPD270416C00007000", "bid": 2.15, "bid_size": 232.0, "ask": 3.3, "ask_size": 232.0, "iv": 0.0, "open_interest": 1.0, "volume": 0.0, "delta": 0.9392, "gamma": 0.1289, "vega": 0.0055, "theta": -0.0044, "rho": 0.003, "theo": 2.7794, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.9, "last_trade_time": "2026-11-04T09:36:45", "percent_change": 0.0, "prev_day_close": 3.02499997615814}, {"option": "AAPD270416P00007000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 270.0, "iv": 0.4553, "open_interest": 0.0, "volume": 0.0, "delta": -0.1658, "gamma": 0.0713, "vega": 0.0154, "theta": -0.0025, "rho": -0.0086, "theo": 0.3595, "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": 0.275000005960464}, {"option": "AAPD270416C00008000", "bid": 1.15, "bid_size": 248.0, "ask": 2.3, "ask_size": 248.0, "iv": 0.0, "open_interest": 61.0, "volume": 0.0, "delta": 0.8541, "gamma": 0.2033, "vega": 0.0117, "theta": -0.0039, "rho": 0.007, "theo": 1.8207, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.75, "last_trade_time": "2026-11-04T12:34:17", "percent_change": 0.0, "prev_day_close": 1.97500002384186}, {"option": "AAPD270416P00008000", "bid": 0.0, "bid_size": 0.0, "ask": 0.6, "ask_size": 284.0, "iv": 0.3202, "open_interest": 0.0, "volume": 0.0, "delta": -0.2539, "gamma": 0.116, "vega": 0.0196, "theta": -0.0025, "rho": -0.0128, "theo": 0.4784, "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": "AAPD270416C00009000", "bid": 0.25, "bid_size": 279.0, "ask": 1.55, "ask_size": 277.0, "iv": 0.2916, "open_interest": 51.0, "volume": 0.0, "delta": 0.6548, "gamma": 0.2496, "vega": 0.0202, "theta": -0.0037, "rho": 0.01, "theo": 1.0057, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.15, "last_trade_time": "2026-11-06T12:31:15", "percent_change": 0.0, "prev_day_close": 1.09999999403954}, {"option": "AAPD270416P00009000", "bid": 0.0, "bid_size": 0.0, "ask": 0.85, "ask_size": 258.0, "iv": 0.1956, "open_interest": 0.0, "volume": 0.0, "delta": -0.4057, "gamma": 0.1635, "vega": 0.0231, "theta": -0.0024, "rho": -0.0206, "theo": 0.7735, "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": 0.400000005960464}, {"option": "AAPD270416C00010000", "bid": 0.0, "bid_size": 0.0, "ask": 1.05, "ask_size": 273.0, "iv": 0.3394, "open_interest": 66.0, "volume": 0.0, "delta": 0.4245, "gamma": 0.1966, "vega": 0.023, "theta": -0.0033, "rho": 0.0099, "theo": 0.5811, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.6, "last_trade_time": "2026-11-05T15:13:55", "percent_change": 0.0, "prev_day_close": 0.625000024214387}, {"option": "AAPD270416P00010000", "bid": 0.3, "bid_size": 249.0, "ask": 3.3, "ask_size": 27.0, "iv": 0.5284, "open_interest": 0.0, "volume": 0.0, "delta": -0.5624, "gamma": 0.1507, "vega": 0.0224, "theta": -0.0024, "rho": -0.0301, "theo": 1.4243, "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": 1.60000000149012}, {"option": "AAPD270416C00011000", "bid": 0.0, "bid_size": 0.0, "ask": 0.75, "ask_size": 270.0, "iv": 0.3963, "open_interest": 2.0, "volume": 0.0, "delta": 0.2995, "gamma": 0.1391, "vega": 0.021, "theta": -0.0031, "rho": 0.0081, "theo": 0.4212, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.35, "last_trade_time": "2026-10-28T14:34:50", "percent_change": 0.0, "prev_day_close": 0.449999988079071}, {"option": "AAPD270416P00011000", "bid": 1.05, "bid_size": 256.0, "ask": 4.1, "ask_size": 6.0, "iv": 0.5585, "open_interest": 1.0, "volume": 0.0, "delta": -0.6531, "gamma": 0.1167, "vega": 0.02, "theta": -0.0023, "rho": -0.0377, "theo": 2.2806, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.37, "last_trade_time": "2026-09-29T11:21:04", "percent_change": 0.0, "prev_day_close": 2.32500001788139}, {"option": "AAPD270416C00012000", "bid": 0.0, "bid_size": 0.0, "ask": 0.65, "ask_size": 270.0, "iv": 0.4644, "open_interest": 1.0, "volume": 0.0, "delta": 0.2336, "gamma": 0.1044, "vega": 0.0187, "theta": -0.003, "rho": 0.0067, "theo": 0.3452, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.28, "last_trade_time": "2026-10-15T13:24:15", "percent_change": 0.0, "prev_day_close": 0.349999994039536}, {"option": "AAPD270416P00012000", "bid": 1.9, "bid_size": 249.0, "ask": 4.3, "ask_size": 12.0, "iv": 0.416, "open_interest": 0.0, "volume": 0.0, "delta": -0.7048, "gamma": 0.0918, "vega": 0.0178, "theta": -0.0022, "rho": -0.0439, "theo": 3.1992, "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": 2.92499995231628}, {"option": "AAPD270416C00013000", "bid": 0.0, "bid_size": 0.0, "ask": 0.6, "ask_size": 288.0, "iv": 0.5275, "open_interest": 23.0, "volume": 0.0, "delta": 0.1935, "gamma": 0.0829, "vega": 0.0169, "theta": -0.0029, "rho": 0.0057, "theo": 0.2996, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.15, "last_trade_time": "2026-10-26T09:52:35", "percent_change": 0.0, "prev_day_close": 0.300000011920929}, {"option": "AAPD270416P00013000", "bid": 2.8, "bid_size": 247.0, "ask": 5.9, "ask_size": 62.0, "iv": 0.6458, "open_interest": 0.0, "volume": 0.0, "delta": -0.7379, "gamma": 0.0749, "vega": 0.0162, "theta": -0.0021, "rho": -0.0494, "theo": 4.1409, "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": 3.77500009536743}, {"option": "AAPD270416C00014000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 273.0, "iv": 0.562, "open_interest": 0.0, "volume": 0.0, "delta": 0.1665, "gamma": 0.0686, "vega": 0.0154, "theta": -0.0029, "rho": 0.005, "theo": 0.2683, "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": 0.275000005960464}, {"option": "AAPD270416P00014000", "bid": 3.7, "bid_size": 254.0, "ask": 6.2, "ask_size": 12.0, "iv": 0.4592, "open_interest": 0.0, "volume": 0.0, "delta": -0.761, "gamma": 0.0631, "vega": 0.0148, "theta": -0.0019, "rho": -0.0545, "theo": 5.094, "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": 4.65000009536743}, {"option": "AAPD270416C00015000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 275.0, "iv": 0.6199, "open_interest": 2.0, "volume": 0.0, "delta": 0.1471, "gamma": 0.0585, "vega": 0.0143, "theta": -0.0028, "rho": 0.0044, "theo": 0.2452, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.08, "last_trade_time": "2026-10-23T13:56:16", "percent_change": 0.0, "prev_day_close": 0.275000005960464}, {"option": "AAPD270416P00015000", "bid": 4.7, "bid_size": 241.0, "ask": 7.1, "ask_size": 12.0, "iv": 0.4768, "open_interest": 0.0, "volume": 0.0, "delta": -0.7782, "gamma": 0.0545, "vega": 0.0138, "theta": -0.0018, "rho": -0.0593, "theo": 6.0534, "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": 5.60000014305115}, {"option": "AAPD270416C00016000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 269.0, "iv": 0.6722, "open_interest": 1.0, "volume": 0.0, "delta": 0.1322, "gamma": 0.051, "vega": 0.0133, "theta": -0.0028, "rho": 0.004, "theo": 0.227, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.28, "last_trade_time": "2026-10-15T12:51:49", "percent_change": 0.0, "prev_day_close": 0.25}, {"option": "AAPD270416P00016000", "bid": 5.7, "bid_size": 246.0, "ask": 8.8, "ask_size": 6.0, "iv": 0.8106, "open_interest": 0.0, "volume": 0.0, "delta": -0.7915, "gamma": 0.0479, "vega": 0.0128, "theta": -0.0016, "rho": -0.0639, "theo": 7.0171, "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": 6.54999995231628}, {"option": "AAPD270416C00017000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 269.0, "iv": 0.7198, "open_interest": 0.0, "volume": 0.0, "delta": 0.1205, "gamma": 0.0453, "vega": 0.0125, "theta": -0.0027, "rho": 0.0037, "theo": 0.2122, "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": 0.25}, {"option": "AAPD270416P00017000", "bid": 6.6, "bid_size": 252.0, "ask": 9.8, "ask_size": 5.0, "iv": 0.8428, "open_interest": 0.0, "volume": 0.0, "delta": -0.8022, "gamma": 0.0429, "vega": 0.0121, "theta": -0.0014, "rho": -0.0682, "theo": 7.9837, "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": "AAPD270416C00018000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 270.0, "iv": 0.7635, "open_interest": 0.0, "volume": 0.0, "delta": 0.1109, "gamma": 0.0407, "vega": 0.0117, "theta": -0.0027, "rho": 0.0034, "theo": 0.1998, "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": 0.25}, {"option": "AAPD270416P00018000", "bid": 7.5, "bid_size": 228.0, "ask": 10.7, "ask_size": 5.0, "iv": 0.8361, "open_interest": 0.0, "volume": 0.0, "delta": -0.8111, "gamma": 0.0388, "vega": 0.0115, "theta": -0.0013, "rho": -0.0724, "theo": 8.9524, "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": 8.44999980926514}, {"option": "AAPD270416C00019000", "bid": 0.0, "bid_size": 0.0, "ask": 0.5, "ask_size": 282.0, "iv": 0.8041, "open_interest": 0.0, "volume": 0.0, "delta": 0.103, "gamma": 0.037, "vega": 0.0111, "theta": -0.0026, "rho": 0.0032, "theo": 0.1892, "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": 0.25}, {"option": "AAPD270416P00019000", "bid": 8.4, "bid_size": 256.0, "ask": 11.7, "ask_size": 5.0, "iv": 0.8559, "open_interest": 0.0, "volume": 0.0, "delta": -0.8185, "gamma": 0.0355, "vega": 0.0109, "theta": -0.0011, "rho": -0.0764, "theo": 9.9229, "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": 9.4500002861023}, {"option": "AAPD270416C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.45, "ask_size": 273.0, "iv": 0.8208, "open_interest": 0.0, "volume": 0.0, "delta": 0.0963, "gamma": 0.0339, "vega": 0.0106, "theta": -0.0026, "rho": 0.0029, "theo": 0.18, "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": 0.25}, {"option": "AAPD270416P00020000", "bid": 9.3, "bid_size": 165.0, "ask": 12.7, "ask_size": 4.0, "iv": 0.8709, "open_interest": 0.0, "volume": 0.0, "delta": -0.825, "gamma": 0.0327, "vega": 0.0104, "theta": -0.001, "rho": -0.0804, "theo": 10.8947, "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": 10.5}, {"option": "AAPD270416C00021000", "bid": 0.0, "bid_size": 0.0, "ask": 0.45, "ask_size": 279.0, "iv": 0.8556, "open_interest": 0.0, "volume": 0.0, "delta": 0.0905, "gamma": 0.0313, "vega": 0.0101, "theta": -0.0026, "rho": 0.0028, "theo": 0.1718, "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": 0.25}, {"option": "AAPD270416P00021000", "bid": 10.2, "bid_size": 164.0, "ask": 13.7, "ask_size": 4.0, "iv": 0.8813, "open_interest": 1.0, "volume": 0.0, "delta": -0.8306, "gamma": 0.0304, "vega": 0.01, "theta": -0.0008, "rho": -0.0843, "theo": 11.8677, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.25, "last_trade_time": "2026-10-22T14:27:07", "percent_change": 0.0, "prev_day_close": 11.6999998092651}], "symbol": "AAPD", "security_type": "stock", "exchange_id": 2, "current_price": 9.79, "price_change": -0.24, "price_change_percent": -2.3952, "bid": 9.76, "ask": 9.79, "bid_size": 500, "ask_size": 1500, "open": 9.95, "high": 9.95, "low": 9.73, "close": 9.78, "prev_day_close": 10.02, "volume": 9544074, "iv30": 36.23, "iv30_change": 0.0, "iv30_change_percent": 0.0, "seqno": 10415118540, "last_trade_time": "2026-11-09T15:59:59", "tick": "down"}, "symbol": "AAPD"}