{"timestamp": "2026-11-10 00:23:26", "data": {"options": [{"option": "KRP261120C00002500", "bid": 12.2, "bid_size": 69.0, "ask": 12.9, "ask_size": 61.0, "iv": 5.8792, "open_interest": 1.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 12.535, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.0, "last_trade_time": "2026-11-04T15:29:32", "percent_change": 0.0, "prev_day_close": 12.75}, {"option": "KRP261120P00002500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 4.0, "iv": 4.7089, "open_interest": 0.0, "volume": 0.0, "delta": -0.0006, "gamma": 0.0002, "vega": 0.0, "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": 0.025000000372529}, {"option": "KRP261120C00005000", "bid": 9.8, "bid_size": 28.0, "ask": 10.4, "ask_size": 84.0, "iv": 4.2119, "open_interest": 0.0, "volume": 0.0, "delta": 0.9998, "gamma": 0.0001, "vega": 0.0, "theta": 0.0, "rho": 0.0005, "theo": 10.0352, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.81, "last_trade_time": "2026-10-14T15:49:07", "percent_change": 0.0, "prev_day_close": 10.25}, {"option": "KRP261120P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 83.0, "iv": 3.8438, "open_interest": 0.0, "volume": 0.0, "delta": -0.0021, "gamma": 0.0011, "vega": 0.0002, "theta": -0.0014, "rho": 0.0, "theo": 0.0038, "change": 0.0, "open": 0.0, "high": 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": "KRP261120C00007500", "bid": 7.3, "bid_size": 29.0, "ask": 7.9, "ask_size": 60.0, "iv": 2.7402, "open_interest": 0.0, "volume": 0.0, "delta": 0.9993, "gamma": 0.0005, "vega": 0.0, "theta": 0.0, "rho": 0.0012, "theo": 7.5371, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.54, "last_trade_time": "2026-11-05T14:37:27", "percent_change": 0.0, "prev_day_close": 7.75}, {"option": "KRP261120P00007500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 69.0, "iv": 2.5204, "open_interest": 0.0, "volume": 0.0, "delta": -0.0056, "gamma": 0.0039, "vega": 0.0004, "theta": -0.0025, "rho": 0.0, "theo": 0.0075, "change": 0.0, "open": 0.0, "high": 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": "KRP261120C00010000", "bid": 4.9, "bid_size": 66.0, "ask": 5.2, "ask_size": 36.0, "iv": 1.3458, "open_interest": 0.0, "volume": 0.0, "delta": 0.9981, "gamma": 0.0025, "vega": 0.0001, "theta": 0.0, "rho": 0.0016, "theo": 5.0395, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.25}, {"option": "KRP261120P00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 51.0, "iv": 1.2886, "open_interest": 0.0, "volume": 0.0, "delta": -0.0152, "gamma": 0.0144, "vega": 0.001, "theta": -0.0042, "rho": -0.0001, "theo": 0.0147, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP261120C00012500", "bid": 2.2, "bid_size": 72.0, "ask": 2.9, "ask_size": 62.0, "iv": 0.675, "open_interest": 3.0, "volume": 0.0, "delta": 0.9926, "gamma": 0.0175, "vega": 0.0004, "theta": -0.001, "rho": 0.002, "theo": 2.5429, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.9, "last_trade_time": "2026-10-12T10:21:38", "percent_change": 0.0, "prev_day_close": 2.82499992847443}, {"option": "KRP261120P00012500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 101.0, "iv": 0.6248, "open_interest": 31.0, "volume": 0.0, "delta": -0.0546, "gamma": 0.0758, "vega": 0.0028, "theta": -0.0069, "rho": -0.0003, "theo": 0.0341, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.03, "last_trade_time": "2026-10-20T12:46:30", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP261120C00015000", "bid": 0.15, "bid_size": 25.0, "ask": 0.25, "ask_size": 21.0, "iv": 0.2289, "open_interest": 1396.0, "volume": 24.0, "delta": 0.5428, "gamma": 0.915, "vega": 0.0082, "theta": -0.0137, "rho": 0.0013, "theo": 0.1938, "change": -0.15, "open": 0.21, "high": 0.21, "low": 0.2, "tick": "no_change", "last_trade_price": 0.2, "last_trade_time": "2026-11-09T10:22:35", "percent_change": -42.8571, "prev_day_close": 0.350000001490116}, {"option": "KRP261120P00015000", "bid": 0.35, "bid_size": 136.0, "ask": 0.6, "ask_size": 85.0, "iv": 0.2108, "open_interest": 1094.0, "volume": 8.0, "delta": -0.7558, "gamma": 0.5641, "vega": 0.008, "theta": -0.0081, "rho": -0.0029, "theo": 0.4833, "change": 0.125, "open": 0.45, "high": 0.51, "low": 0.45, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-11-09T15:29:06", "percent_change": 33.3333, "prev_day_close": 0.375}, {"option": "KRP261120C00017500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 26.0, "iv": 0.6712, "open_interest": 820.0, "volume": 0.0, "delta": 0.0385, "gamma": 0.0614, "vega": 0.0021, "theta": -0.0051, "rho": 0.0002, "theo": 0.0197, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-11-05T12:59:19", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP261120P00017500", "bid": 2.45, "bid_size": 42.0, "ask": 3.5, "ask_size": 80.0, "iv": 0.7405, "open_interest": 30.0, "volume": 0.0, "delta": -0.9654, "gamma": 0.0541, "vega": 0.0019, "theta": -0.0043, "rho": -0.0036, "theo": 2.9215, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.78, "last_trade_time": "2026-11-06T14:34:47", "percent_change": 0.0, "prev_day_close": 2.75}, {"option": "KRP261120C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 4.0, "iv": 0.9204, "open_interest": 0.0, "volume": 0.0, "delta": 0.0168, "gamma": 0.0201, "vega": 0.001, "theta": -0.0035, "rho": 0.0001, "theo": 0.0114, "change": 0.0, "open": 0.0, "high": 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": "KRP261120P00020000", "bid": 4.8, "bid_size": 65.0, "ask": 5.6, "ask_size": 33.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9839, "gamma": 0.0193, "vega": 0.001, "theta": -0.0027, "rho": -0.0041, "theo": 5.4123, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.19999980926514}, {"option": "KRP261120C00022500", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 60.0, "iv": 1.5184, "open_interest": 0.0, "volume": 0.0, "delta": 0.0103, "gamma": 0.0104, "vega": 0.0007, "theta": -0.0028, "rho": 0.0, "theo": 0.0082, "change": 0.0, "open": 0.0, "high": 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": "KRP261120P00022500", "bid": 7.3, "bid_size": 47.0, "ask": 8.2, "ask_size": 40.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.99, "gamma": 0.0101, "vega": 0.0006, "theta": -0.0018, "rho": -0.0045, "theo": 7.9072, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.69999980926514}, {"option": "KRP261120C00025000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 47.0, "iv": 1.7922, "open_interest": 0.0, "volume": 0.0, "delta": 0.0073, "gamma": 0.0065, "vega": 0.0005, "theta": -0.0024, "rho": 0.0, "theo": 0.0065, "change": 0.0, "open": 0.0, "high": 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": "KRP261120P00025000", "bid": 9.8, "bid_size": 62.0, "ask": 10.7, "ask_size": 33.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9928, "gamma": 0.0063, "vega": 0.0005, "theta": -0.0011, "rho": -0.005, "theo": 10.4035, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.1500000953674}, {"option": "KRP261120C00030000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1.0, "iv": 1.8198, "open_interest": 0.0, "volume": 0.0, "delta": 0.0046, "gamma": 0.0034, "vega": 0.0003, "theta": -0.0019, "rho": 0.0, "theo": 0.0047, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP261120P00030000", "bid": 13.3, "bid_size": 76.0, "ask": 17.3, "ask_size": 83.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9955, "gamma": 0.0033, "vega": 0.0003, "theta": 0.0, "rho": -0.0059, "theo": 15.3975, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.1999998092651}, {"option": "KRP261218C00002500", "bid": 12.2, "bid_size": 54.0, "ask": 12.9, "ask_size": 17.0, "iv": 3.0864, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0004, "theo": 12.5498, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.6500000953674}, {"option": "KRP261218P00002500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 7.0, "iv": 2.5101, "open_interest": 0.0, "volume": 0.0, "delta": -0.0041, "gamma": 0.001, "vega": 0.0006, "theta": -0.0017, "rho": -0.0001, "theo": 0.0179, "change": 0.0, "open": 0.0, "high": 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": "KRP261218C00005000", "bid": 9.7, "bid_size": 65.0, "ask": 10.4, "ask_size": 30.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0008, "theo": 10.0516, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.1999998092651}, {"option": "KRP261218P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 40.0, "iv": 2.0519, "open_interest": 0.0, "volume": 0.0, "delta": -0.0109, "gamma": 0.0037, "vega": 0.0014, "theta": -0.0027, "rho": -0.0002, "theo": 0.0335, "change": 0.0, "open": 0.0, "high": 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": "KRP261218C00007500", "bid": 7.3, "bid_size": 16.0, "ask": 7.8, "ask_size": 17.0, "iv": 0.0, "open_interest": 1.0, "volume": 1.0, "delta": 0.9998, "gamma": 0.0005, "vega": 0.0, "theta": 0.0, "rho": 0.0012, "theo": 7.5536, "change": -0.15, "open": 7.55, "high": 7.55, "low": 7.55, "tick": "up", "last_trade_price": 7.55, "last_trade_time": "2026-11-09T11:58:42", "percent_change": -1.94805, "prev_day_close": 7.70000004768372}, {"option": "KRP261218P00007500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 63.0, "iv": 1.3487, "open_interest": 0.0, "volume": 0.0, "delta": -0.0235, "gamma": 0.0102, "vega": 0.0026, "theta": -0.0037, "rho": -0.0004, "theo": 0.0531, "change": 0.0, "open": 0.0, "high": 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": "KRP261218C00010000", "bid": 4.7, "bid_size": 66.0, "ask": 5.4, "ask_size": 25.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9978, "gamma": 0.0042, "vega": 0.0002, "theta": 0.0, "rho": 0.0017, "theo": 5.0561, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.20000004768372}, {"option": "KRP261218P00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 59.0, "iv": 0.8475, "open_interest": 0.0, "volume": 0.0, "delta": -0.0496, "gamma": 0.0279, "vega": 0.0049, "theta": -0.0047, "rho": -0.0008, "theo": 0.0817, "change": 0.0, "open": 0.0, "high": 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": "KRP261218C00012500", "bid": 2.3, "bid_size": 17.0, "ask": 2.85, "ask_size": 19.0, "iv": 0.5141, "open_interest": 0.0, "volume": 0.0, "delta": 0.9858, "gamma": 0.0365, "vega": 0.0016, "theta": -0.0015, "rho": 0.0024, "theo": 2.5611, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.79999995231628}, {"option": "KRP261218P00012500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 73.0, "iv": 0.4368, "open_interest": 0.0, "volume": 0.0, "delta": -0.1225, "gamma": 0.0948, "vega": 0.0097, "theta": -0.0055, "rho": -0.0019, "theo": 0.136, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.125}, {"option": "KRP261218C00015000", "bid": 0.2, "bid_size": 39.0, "ask": 0.35, "ask_size": 72.0, "iv": 0.2018, "open_interest": 451.0, "volume": 1.0, "delta": 0.4824, "gamma": 0.6528, "vega": 0.0165, "theta": -0.0084, "rho": 0.0044, "theo": 0.2844, "change": -0.2, "open": 0.25, "high": 0.25, "low": 0.25, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-11-09T15:27:13", "percent_change": -44.4444, "prev_day_close": 0.450000017881393}, {"option": "KRP261218P00015000", "bid": 0.5, "bid_size": 60.0, "ask": 0.6, "ask_size": 2.0, "iv": 0.1853, "open_interest": 27.0, "volume": 3.0, "delta": -0.6302, "gamma": 0.4127, "vega": 0.0179, "theta": -0.0052, "rho": -0.0073, "theo": 0.5891, "change": 0.125, "open": 0.6, "high": 0.65, "low": 0.6, "tick": "up", "last_trade_price": 0.65, "last_trade_time": "2026-11-09T11:42:52", "percent_change": 23.8095, "prev_day_close": 0.525000005960464}, {"option": "KRP261218C00017500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 251.0, "iv": 0.3506, "open_interest": 174.0, "volume": 0.0, "delta": 0.11, "gamma": 0.0953, "vega": 0.0091, "theta": -0.0046, "rho": 0.0017, "theo": 0.0965, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.05, "last_trade_time": "2026-11-05T12:39:57", "percent_change": 0.0, "prev_day_close": 0.025000000372529}, {"option": "KRP261218P00017500", "bid": 2.3, "bid_size": 61.0, "ask": 3.4, "ask_size": 50.0, "iv": 0.0, "open_interest": 8.0, "volume": 0.0, "delta": -0.9126, "gamma": 0.0989, "vega": 0.0075, "theta": -0.0046, "rho": -0.0074, "theo": 2.9402, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.7, "last_trade_time": "2026-11-06T10:09:58", "percent_change": 0.0, "prev_day_close": 2.67500007152557}, {"option": "KRP261218C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 65.0, "iv": 0.6266, "open_interest": 0.0, "volume": 0.0, "delta": 0.0656, "gamma": 0.0455, "vega": 0.0061, "theta": -0.0044, "rho": 0.001, "theo": 0.0723, "change": 0.0, "open": 0.0, "high": 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": "KRP261218P00020000", "bid": 4.8, "bid_size": 60.0, "ask": 5.6, "ask_size": 48.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.952, "gamma": 0.0453, "vega": 0.0047, "theta": -0.0039, "rho": -0.0072, "theo": 5.4199, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.19999980926514}, {"option": "KRP261218C00022500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 73.0, "iv": 0.8366, "open_interest": 0.0, "volume": 0.0, "delta": 0.0479, "gamma": 0.0285, "vega": 0.0048, "theta": -0.0043, "rho": 0.0007, "theo": 0.061, "change": 0.0, "open": 0.0, "high": 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": "KRP261218P00022500", "bid": 7.3, "bid_size": 60.0, "ask": 8.2, "ask_size": 61.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9671, "gamma": 0.0274, "vega": 0.0034, "theta": -0.0033, "rho": -0.0072, "theo": 7.9097, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.69999980926514}, {"option": "KRP261218C00025000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 67.0, "iv": 0.944, "open_interest": 0.0, "volume": 0.0, "delta": 0.0384, "gamma": 0.0204, "vega": 0.004, "theta": -0.0041, "rho": 0.0006, "theo": 0.0543, "change": 0.0, "open": 0.0, "high": 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": "KRP261218P00025000", "bid": 9.8, "bid_size": 44.0, "ask": 10.7, "ask_size": 41.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9749, "gamma": 0.0191, "vega": 0.0027, "theta": -0.0028, "rho": -0.0076, "theo": 10.4028, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.1999998092651}, {"option": "KRP261218C00030000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 77.0, "iv": 1.183, "open_interest": 0.0, "volume": 0.0, "delta": 0.0284, "gamma": 0.0129, "vega": 0.0031, "theta": -0.0039, "rho": 0.0004, "theo": 0.0464, "change": 0.0, "open": 0.0, "high": 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": "KRP261218P00030000", "bid": 14.8, "bid_size": 24.0, "ask": 16.0, "ask_size": 61.0, "iv": 1.0808, "open_interest": 0.0, "volume": 0.0, "delta": -0.983, "gamma": 0.0114, "vega": 0.0018, "theta": -0.0019, "rho": -0.008, "theo": 15.3929, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.1999998092651}, {"option": "KRP270115C00002500", "bid": 12.2, "bid_size": 17.0, "ask": 12.9, "ask_size": 34.0, "iv": 2.8559, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0004, "theo": 12.5471, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.38, "last_trade_time": "2026-10-06T10:31:04", "percent_change": 0.0, "prev_day_close": 12.6500000953674}, {"option": "KRP270115P00002500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 6.0, "iv": 1.9181, "open_interest": 0.0, "volume": 0.0, "delta": -0.0036, "gamma": 0.001, "vega": 0.0007, "theta": -0.0009, "rho": -0.0001, "theo": 0.0155, "change": 0.0, "open": 0.0, "high": 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": "KRP270115C00005000", "bid": 9.7, "bid_size": 11.0, "ask": 10.4, "ask_size": 18.0, "iv": 1.6463, "open_interest": 3.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0008, "theo": 10.0489, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.96, "last_trade_time": "2026-09-11T14:46:13", "percent_change": 0.0, "prev_day_close": 10.1500000953674}, {"option": "KRP270115P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 130.0, "iv": 1.186, "open_interest": 0.0, "volume": 0.0, "delta": -0.0102, "gamma": 0.0036, "vega": 0.0017, "theta": -0.0015, "rho": -0.0003, "theo": 0.0308, "change": 0.0, "open": 0.0, "high": 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": "KRP270115C00007500", "bid": 7.2, "bid_size": 16.0, "ask": 7.9, "ask_size": 18.0, "iv": 0.0, "open_interest": 2.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0012, "theo": 7.5507, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.16, "last_trade_time": "2026-10-14T12:21:23", "percent_change": 0.0, "prev_day_close": 7.65000009536743}, {"option": "KRP270115P00007500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 38.0, "iv": 0.8609, "open_interest": 0.0, "volume": 0.0, "delta": -0.0229, "gamma": 0.01, "vega": 0.0034, "theta": -0.0021, "rho": -0.0007, "theo": 0.0515, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP270115C00010000", "bid": 4.7, "bid_size": 16.0, "ask": 5.5, "ask_size": 14.0, "iv": 0.8446, "open_interest": 0.0, "volume": 0.0, "delta": 0.9995, "gamma": 0.0013, "vega": 0.0, "theta": 0.0, "rho": 0.0016, "theo": 5.0526, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.7, "last_trade_time": "2026-10-14T11:22:41", "percent_change": 0.0, "prev_day_close": 5.20000004768372}, {"option": "KRP270115P00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 224.0, "iv": 0.6498, "open_interest": 1.0, "volume": 0.0, "delta": -0.0503, "gamma": 0.0279, "vega": 0.0065, "theta": -0.0028, "rho": -0.0014, "theo": 0.0842, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.13, "last_trade_time": "2026-07-21T12:32:14", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "KRP270115C00012500", "bid": 2.25, "bid_size": 198.0, "ask": 2.7, "ask_size": 118.0, "iv": 0.0, "open_interest": 110.0, "volume": 0.0, "delta": 0.9874, "gamma": 0.0382, "vega": 0.0011, "theta": -0.0008, "rho": 0.0025, "theo": 2.5568, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.8, "last_trade_time": "2026-10-16T15:33:07", "percent_change": 0.0, "prev_day_close": 2.75}, {"option": "KRP270115P00012500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 1.0, "iv": 0.2632, "open_interest": 164.0, "volume": 0.0, "delta": -0.1294, "gamma": 0.0941, "vega": 0.0133, "theta": -0.0035, "rho": -0.0035, "theo": 0.1531, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-11-05T09:53:28", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP270115C00015000", "bid": 0.3, "bid_size": 105.0, "ask": 0.55, "ask_size": 690.0, "iv": 0.2182, "open_interest": 3271.0, "volume": 18.0, "delta": 0.451, "gamma": 0.3998, "vega": 0.0243, "theta": -0.0046, "rho": 0.0109, "theo": 0.3851, "change": -0.075, "open": 0.45, "high": 0.45, "low": 0.35, "tick": "up", "last_trade_price": 0.4, "last_trade_time": "2026-11-09T14:59:02", "percent_change": -15.7895, "prev_day_close": 0.475000008940697}, {"option": "KRP270115P00015000", "bid": 0.55, "bid_size": 154.0, "ask": 0.8, "ask_size": 163.0, "iv": 0.2012, "open_interest": 1317.0, "volume": 0.0, "delta": -0.5904, "gamma": 0.3332, "vega": 0.024, "theta": -0.0039, "rho": -0.012, "theo": 0.6764, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.6, "last_trade_time": "2026-11-06T15:07:24", "percent_change": 0.0, "prev_day_close": 0.599999994039536}, {"option": "KRP270115C00017500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 223.0, "iv": 0.2648, "open_interest": 959.0, "volume": 0.0, "delta": 0.1416, "gamma": 0.1022, "vega": 0.0142, "theta": -0.0036, "rho": 0.0037, "theo": 0.1454, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-11-05T15:11:38", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP270115P00017500", "bid": 2.3, "bid_size": 60.0, "ask": 3.5, "ask_size": 99.0, "iv": 0.2697, "open_interest": 14.0, "volume": 0.0, "delta": -0.889, "gamma": 0.1122, "vega": 0.0115, "theta": -0.0037, "rho": -0.0118, "theo": 2.9615, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.75, "last_trade_time": "2026-11-05T12:38:28", "percent_change": 0.0, "prev_day_close": 2.57500004768372}, {"option": "KRP270115C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 580.0, "iv": 0.5008, "open_interest": 27.0, "volume": 0.0, "delta": 0.0852, "gamma": 0.0514, "vega": 0.0098, "theta": -0.0034, "rho": 0.0022, "theo": 0.1058, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.04, "last_trade_time": "2026-10-29T14:34:03", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "KRP270115P00020000", "bid": 4.8, "bid_size": 67.0, "ask": 5.9, "ask_size": 50.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9416, "gamma": 0.0542, "vega": 0.0069, "theta": -0.0031, "rho": -0.0108, "theo": 5.4294, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.19999980926514}, {"option": "KRP270115C00022500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 337.0, "iv": 0.6359, "open_interest": 0.0, "volume": 0.0, "delta": 0.0621, "gamma": 0.0328, "vega": 0.0077, "theta": -0.0033, "rho": 0.0015, "theo": 0.0876, "change": 0.0, "open": 0.0, "high": 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": "KRP270115P00022500", "bid": 7.3, "bid_size": 67.0, "ask": 8.5, "ask_size": 93.0, "iv": 0.5536, "open_interest": 0.0, "volume": 0.0, "delta": -0.9619, "gamma": 0.0331, "vega": 0.0049, "theta": -0.0024, "rho": -0.01, "theo": 7.9143, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.69999980926514}, {"option": "KRP270115C00025000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 256.0, "iv": 0.718, "open_interest": 0.0, "volume": 0.0, "delta": 0.0495, "gamma": 0.0237, "vega": 0.0064, "theta": -0.0032, "rho": 0.0012, "theo": 0.0768, "change": 0.0, "open": 0.0, "high": 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": "KRP270115P00025000", "bid": 9.8, "bid_size": 66.0, "ask": 11.0, "ask_size": 95.0, "iv": 0.6682, "open_interest": 0.0, "volume": 0.0, "delta": -0.9725, "gamma": 0.0226, "vega": 0.0037, "theta": -0.0018, "rho": -0.01, "theo": 10.4051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.1999998092651}, {"option": "KRP270115C00030000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 365.0, "iv": 0.9006, "open_interest": 10.0, "volume": 0.0, "delta": 0.0364, "gamma": 0.0151, "vega": 0.005, "theta": -0.003, "rho": 0.0009, "theo": 0.0643, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.2, "last_trade_time": "2026-06-04T13:30:37", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "KRP270115P00030000", "bid": 14.7, "bid_size": 14.0, "ask": 16.0, "ask_size": 9.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.983, "gamma": 0.013, "vega": 0.0023, "theta": -0.0008, "rho": -0.0091, "theo": 15.3929, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.1500000953674}, {"option": "KRP270416C00002500", "bid": 12.2, "bid_size": 1.0, "ask": 12.9, "ask_size": 1.0, "iv": 2.2063, "open_interest": 1.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0004, "theo": 12.5493, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.2, "last_trade_time": "2026-09-16T14:15:43", "percent_change": 0.0, "prev_day_close": 12.6500000953674}, {"option": "KRP270416P00002500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 504.0, "iv": 1.244, "open_interest": 0.0, "volume": 0.0, "delta": -0.0024, "gamma": 0.0008, "vega": 0.0007, "theta": -0.0002, "rho": -0.0002, "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": 0.025000000372529}, {"option": "KRP270416C00005000", "bid": 9.7, "bid_size": 1.0, "ask": 10.4, "ask_size": 1.0, "iv": 0.0, "open_interest": 3.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0008, "theo": 10.0511, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.93, "last_trade_time": "2026-09-14T13:25:39", "percent_change": 0.0, "prev_day_close": 10.1500000953674}, {"option": "KRP270416P00005000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 60.0, "iv": 0.7659, "open_interest": 0.0, "volume": 0.0, "delta": -0.0086, "gamma": 0.0033, "vega": 0.0022, "theta": -0.0005, "rho": -0.0006, "theo": 0.0231, "change": 0.0, "open": 0.0, "high": 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": "KRP270416C00007500", "bid": 7.2, "bid_size": 1.0, "ask": 7.9, "ask_size": 1.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0012, "theo": 7.553, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.98, "last_trade_time": "2026-10-22T12:52:41", "percent_change": 0.0, "prev_day_close": 7.65000009536743}, {"option": "KRP270416P00007500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 50.0, "iv": 0.5528, "open_interest": 0.0, "volume": 0.0, "delta": -0.0233, "gamma": 0.0107, "vega": 0.0052, "theta": -0.0009, "rho": -0.0016, "theo": 0.0497, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "KRP270416C00010000", "bid": 4.7, "bid_size": 1.0, "ask": 5.5, "ask_size": 1.0, "iv": 0.5823, "open_interest": 3.0, "volume": 0.0, "delta": 1.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0016, "theo": 5.0548, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.6, "last_trade_time": "2026-09-18T10:26:56", "percent_change": 0.0, "prev_day_close": 5.15000009536743}, {"option": "KRP270416P00010000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 18.0, "iv": 0.4331, "open_interest": 0.0, "volume": 0.0, "delta": -0.0608, "gamma": 0.0326, "vega": 0.0114, "theta": -0.0014, "rho": -0.004, "theo": 0.1053, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.125}, {"option": "KRP270416C00012500", "bid": 2.15, "bid_size": 5.0, "ask": 2.95, "ask_size": 6.0, "iv": 0.0, "open_interest": 7.0, "volume": 0.0, "delta": 0.9704, "gamma": 0.0862, "vega": 0.0055, "theta": -0.0011, "rho": 0.008, "theo": 2.562, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.08, "last_trade_time": "2026-09-22T14:11:35", "percent_change": 0.0, "prev_day_close": 2.75}, {"option": "KRP270416P00012500", "bid": 0.15, "bid_size": 80.0, "ask": 0.4, "ask_size": 394.0, "iv": 0.2743, "open_interest": 87.0, "volume": 0.0, "delta": -0.1792, "gamma": 0.1052, "vega": 0.0246, "theta": -0.002, "rho": -0.0112, "theo": 0.26, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.28, "last_trade_time": "2026-11-05T15:49:57", "percent_change": 0.0, "prev_day_close": 0.200000002980232}, {"option": "KRP270416C00015000", "bid": 0.6, "bid_size": 1.0, "ask": 0.8, "ask_size": 424.0, "iv": 0.2167, "open_interest": 2165.0, "volume": 56.0, "delta": 0.4968, "gamma": 0.2263, "vega": 0.0362, "theta": -0.0025, "rho": 0.0237, "theo": 0.6467, "change": -0.05, "open": 0.55, "high": 0.7, "low": 0.55, "tick": "down", "last_trade_price": 0.65, "last_trade_time": "2026-11-09T13:43:28", "percent_change": -7.14286, "prev_day_close": 0.700000017881394}, {"option": "KRP270416P00015000", "bid": 0.85, "bid_size": 284.0, "ask": 1.45, "ask_size": 257.0, "iv": 0.2294, "open_interest": 944.0, "volume": 0.0, "delta": -0.5849, "gamma": 0.2109, "vega": 0.0364, "theta": -0.0022, "rho": -0.0355, "theo": 1.0499, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.97, "last_trade_time": "2026-11-06T10:49:48", "percent_change": 0.0, "prev_day_close": 1.02500000596046}, {"option": "KRP270416C00017500", "bid": 0.05, "bid_size": 100.0, "ask": 0.15, "ask_size": 48.0, "iv": 0.2117, "open_interest": 647.0, "volume": 100.0, "delta": 0.173, "gamma": 0.1094, "vega": 0.0243, "theta": -0.002, "rho": 0.0091, "theo": 0.1985, "change": -0.025, "open": 0.15, "high": 0.15, "low": 0.15, "tick": "up", "last_trade_price": 0.15, "last_trade_time": "2026-11-09T11:40:17", "percent_change": -14.2857, "prev_day_close": 0.175000006332994}, {"option": "KRP270416P00017500", "bid": 2.65, "bid_size": 12.0, "ask": 3.6, "ask_size": 21.0, "iv": 0.243, "open_interest": 16.0, "volume": 0.0, "delta": -0.8546, "gamma": 0.0974, "vega": 0.0219, "theta": -0.0013, "rho": -0.0559, "theo": 3.1579, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.97, "last_trade_time": "2026-11-06T09:32:40", "percent_change": 0.0, "prev_day_close": 2.89999997615814}, {"option": "KRP270416C00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 1.0, "iv": 0.3001, "open_interest": 59.0, "volume": 0.0, "delta": 0.0885, "gamma": 0.0534, "vega": 0.0153, "theta": -0.0015, "rho": 0.0047, "theo": 0.1098, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.06, "last_trade_time": "2026-11-03T10:23:10", "percent_change": 0.0, "prev_day_close": 0.0750000029802322}, {"option": "KRP270416P00020000", "bid": 5.0, "bid_size": 12.0, "ask": 6.1, "ask_size": 24.0, "iv": 0.3286, "open_interest": 0.0, "volume": 0.0, "delta": -0.9248, "gamma": 0.0487, "vega": 0.0138, "theta": -0.0006, "rho": -0.0674, "theo": 5.5467, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.30000019073486}, {"option": "KRP270416C00022500", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 99.0, "iv": 0.4249, "open_interest": 0.0, "volume": 0.0, "delta": 0.0567, "gamma": 0.0319, "vega": 0.0108, "theta": -0.0013, "rho": 0.0031, "theo": 0.0759, "change": 0.0, "open": 0.0, "high": 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": "KRP270416P00022500", "bid": 7.4, "bid_size": 17.0, "ask": 8.5, "ask_size": 16.0, "iv": 0.3493, "open_interest": 1.0, "volume": 0.0, "delta": -0.9523, "gamma": 0.0294, "vega": 0.0099, "theta": 0.0, "rho": -0.077, "theo": 7.9781, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.8, "last_trade_time": "2026-10-23T12:54:02", "percent_change": 0.0, "prev_day_close": 7.69999980926514}, {"option": "KRP270416C00025000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 89.0, "iv": 0.4997, "open_interest": 0.0, "volume": 0.0, "delta": 0.0409, "gamma": 0.0216, "vega": 0.0084, "theta": -0.0011, "rho": 0.0022, "theo": 0.0582, "change": 0.0, "open": 0.0, "high": 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": "KRP270416P00025000", "bid": 9.8, "bid_size": 8.0, "ask": 11.0, "ask_size": 14.0, "iv": 0.3965, "open_interest": 0.0, "volume": 0.0, "delta": -0.9662, "gamma": 0.02, "vega": 0.0075, "theta": 0.0, "rho": -0.0861, "theo": 10.4229, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.1999998092651}, {"option": "KRP270416C00030000", "bid": 0.0, "bid_size": 0.0, "ask": 0.15, "ask_size": 67.0, "iv": 0.5691, "open_interest": 0.0, "volume": 0.0, "delta": 0.0258, "gamma": 0.0123, "vega": 0.0057, "theta": -0.0009, "rho": 0.0014, "theo": 0.0402, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 0.0750000029802322}, {"option": "KRP270416P00030000", "bid": 14.7, "bid_size": 11.0, "ask": 16.0, "ask_size": 10.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9947, "gamma": 0.0079, "vega": 0.001, "theta": 0.0, "rho": -0.0116, "theo": 15.3724, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.1500000953674}], "symbol": "KRP", "security_type": "stock", "exchange_id": 3, "current_price": 15.04, "price_change": -0.11, "price_change_percent": -0.7261, "bid": 15.05, "ask": 16.1, "bid_size": 900, "ask_size": 800, "open": 15.14, "high": 15.2, "low": 14.91, "close": 15.04, "prev_day_close": 15.15, "volume": 1183984, "iv30": 20.778, "iv30_change": -2.625, "iv30_change_percent": -11.2165, "seqno": 10409101270, "last_trade_time": "2026-11-09T15:59:55", "tick": "down"}, "symbol": "KRP"}