{"symbol":"SPY","underlying_price":741.605,"as_of":"2026-06-08T18:16:06.188843Z","expiries":[{"expiry":"2026-06-09","dte":2,"atm_iv":16.53,"put_25d_iv":18,"call_25d_iv":15.22,"put_10d_iv":20.54,"call_10d_iv":14.68,"skew_25d":2.78,"risk_reversal_25d":-2.7799999999999994,"butterfly_25d":0.0799999999999983,"tail_convexity":1.07},{"expiry":"2026-06-10","dte":3,"atm_iv":17.04,"put_25d_iv":18.87,"call_25d_iv":15.53,"put_10d_iv":21.99,"call_10d_iv":14.93,"skew_25d":3.34,"risk_reversal_25d":-3.3400000000000016,"butterfly_25d":0.16000000000000014,"tail_convexity":1.29},{"expiry":"2026-06-11","dte":4,"atm_iv":16.96,"put_25d_iv":19.15,"call_25d_iv":15.32,"put_10d_iv":22.17,"call_10d_iv":14.42,"skew_25d":3.83,"risk_reversal_25d":-3.8299999999999983,"butterfly_25d":0.2749999999999986,"tail_convexity":0.83},{"expiry":"2026-06-12","dte":5,"atm_iv":17.18,"put_25d_iv":19.26,"call_25d_iv":15.54,"put_10d_iv":22.47,"call_10d_iv":14.42,"skew_25d":3.72,"risk_reversal_25d":-3.7200000000000024,"butterfly_25d":0.21999999999999886,"tail_convexity":1.13},{"expiry":"2026-06-15","dte":8,"atm_iv":14.93,"put_25d_iv":17.09,"call_25d_iv":13.34,"put_10d_iv":20.06,"call_10d_iv":12.25,"skew_25d":3.75,"risk_reversal_25d":-3.75,"butterfly_25d":0.28500000000000014,"tail_convexity":0.81},{"expiry":"2026-06-16","dte":9,"atm_iv":15.15,"put_25d_iv":17.44,"call_25d_iv":13.4,"put_10d_iv":20.54,"call_10d_iv":12.31,"skew_25d":4.04,"risk_reversal_25d":-4.040000000000001,"butterfly_25d":0.27000000000000135,"tail_convexity":0.81},{"expiry":"2026-06-17","dte":10,"atm_iv":16.12,"put_25d_iv":18.48,"call_25d_iv":14.18,"put_10d_iv":22.05,"call_10d_iv":13.18,"skew_25d":4.3,"risk_reversal_25d":-4.300000000000001,"butterfly_25d":0.2099999999999973,"tail_convexity":1.21},{"expiry":"2026-06-18","dte":11,"atm_iv":16.63,"put_25d_iv":19.79,"call_25d_iv":13.84,"put_10d_iv":23.17,"call_10d_iv":12.84,"skew_25d":5.95,"risk_reversal_25d":-5.949999999999999,"butterfly_25d":0.18499999999999872,"tail_convexity":0.22},{"expiry":"2026-06-22","dte":15,"atm_iv":14.92,"put_25d_iv":18.3,"call_25d_iv":12.31,"put_10d_iv":21.42,"call_10d_iv":11.36,"skew_25d":5.99,"risk_reversal_25d":-5.99,"butterfly_25d":0.3849999999999998,"tail_convexity":-0.26},{"expiry":"2026-06-26","dte":19,"atm_iv":15.52,"put_25d_iv":18.98,"call_25d_iv":12.73,"put_10d_iv":22.92,"call_10d_iv":11.78,"skew_25d":6.25,"risk_reversal_25d":-6.25,"butterfly_25d":0.33500000000000085,"tail_convexity":0.48},{"expiry":"2026-06-30","dte":23,"atm_iv":15.15,"put_25d_iv":18.56,"call_25d_iv":12.34,"put_10d_iv":22.14,"call_10d_iv":11.48,"skew_25d":6.22,"risk_reversal_25d":-6.219999999999999,"butterfly_25d":0.29999999999999893,"tail_convexity":0.17},{"expiry":"2026-07-02","dte":25,"atm_iv":15.56,"put_25d_iv":18.83,"call_25d_iv":12.84,"put_10d_iv":22.83,"call_10d_iv":11.85,"skew_25d":5.99,"risk_reversal_25d":-5.989999999999998,"butterfly_25d":0.2749999999999986,"tail_convexity":0.73},{"expiry":"2026-07-10","dte":33,"atm_iv":14.99,"put_25d_iv":18.4,"call_25d_iv":12.7,"put_10d_iv":22.49,"call_10d_iv":11.84,"skew_25d":5.7,"risk_reversal_25d":-5.699999999999999,"butterfly_25d":0.5599999999999987,"tail_convexity":0.68},{"expiry":"2026-07-17","dte":40,"atm_iv":15.39,"put_25d_iv":18.57,"call_25d_iv":12.81,"put_10d_iv":23.35,"call_10d_iv":11.99,"skew_25d":5.76,"risk_reversal_25d":-5.76,"butterfly_25d":0.3000000000000007,"tail_convexity":1.6},{"expiry":"2026-07-24","dte":47,"atm_iv":15.48,"put_25d_iv":18.62,"call_25d_iv":12.96,"put_10d_iv":23.52,"call_10d_iv":12.15,"skew_25d":5.66,"risk_reversal_25d":-5.66,"butterfly_25d":0.3100000000000005,"tail_convexity":1.76},{"expiry":"2026-07-31","dte":54,"atm_iv":15.77,"put_25d_iv":18.89,"call_25d_iv":13.25,"put_10d_iv":23.95,"call_10d_iv":12.43,"skew_25d":5.64,"risk_reversal_25d":-5.640000000000001,"butterfly_25d":0.3000000000000007,"tail_convexity":1.94},{"expiry":"2026-08-21","dte":75,"atm_iv":16.13,"put_25d_iv":19.15,"call_25d_iv":13.58,"put_10d_iv":24.63,"call_10d_iv":12.78,"skew_25d":5.57,"risk_reversal_25d":-5.5699999999999985,"butterfly_25d":0.23499999999999943,"tail_convexity":2.46},{"expiry":"2026-08-31","dte":85,"atm_iv":16.18,"put_25d_iv":19.22,"call_25d_iv":13.63,"put_10d_iv":24.86,"call_10d_iv":12.83,"skew_25d":5.59,"risk_reversal_25d":-5.589999999999998,"butterfly_25d":0.245000000000001,"tail_convexity":2.6},{"expiry":"2026-09-18","dte":103,"atm_iv":16.54,"put_25d_iv":19.84,"call_25d_iv":14.03,"put_10d_iv":25.62,"call_10d_iv":13.11,"skew_25d":5.81,"risk_reversal_25d":-5.8100000000000005,"butterfly_25d":0.3949999999999996,"tail_convexity":2.48},{"expiry":"2026-09-30","dte":115,"atm_iv":16.48,"put_25d_iv":19.82,"call_25d_iv":13.78,"put_10d_iv":25.89,"call_10d_iv":13.02,"skew_25d":6.04,"risk_reversal_25d":-6.040000000000001,"butterfly_25d":0.3200000000000003,"tail_convexity":2.73},{"expiry":"2026-10-16","dte":131,"atm_iv":16.83,"put_25d_iv":20.33,"call_25d_iv":14.05,"put_10d_iv":26.3,"call_10d_iv":13.28,"skew_25d":6.28,"risk_reversal_25d":-6.279999999999998,"butterfly_25d":0.35999999999999943,"tail_convexity":2.47},{"expiry":"2026-10-30","dte":145,"atm_iv":17.2,"put_25d_iv":20.55,"call_25d_iv":14.23,"put_10d_iv":26.46,"call_10d_iv":13.44,"skew_25d":6.32,"risk_reversal_25d":-6.32,"butterfly_25d":0.19000000000000128,"tail_convexity":2.56},{"expiry":"2026-11-20","dte":166,"atm_iv":17.49,"put_25d_iv":20.82,"call_25d_iv":14.52,"put_10d_iv":26.84,"call_10d_iv":13.64,"skew_25d":6.3,"risk_reversal_25d":-6.300000000000001,"butterfly_25d":0.18000000000000327,"tail_convexity":2.69},{"expiry":"2026-11-30","dte":176,"atm_iv":17.55,"put_25d_iv":20.75,"call_25d_iv":14.39,"put_10d_iv":26.53,"call_10d_iv":13.61,"skew_25d":6.36,"risk_reversal_25d":-6.359999999999999,"butterfly_25d":0.019999999999999574,"tail_convexity":2.58},{"expiry":"2026-12-18","dte":194,"atm_iv":17.85,"put_25d_iv":21.22,"call_25d_iv":14.65,"put_10d_iv":27.16,"call_10d_iv":13.83,"skew_25d":6.57,"risk_reversal_25d":-6.5699999999999985,"butterfly_25d":0.0849999999999973,"tail_convexity":2.57},{"expiry":"2026-12-31","dte":207,"atm_iv":17.76,"put_25d_iv":21.08,"call_25d_iv":14.57,"put_10d_iv":26.88,"call_10d_iv":13.71,"skew_25d":6.51,"risk_reversal_25d":-6.509999999999998,"butterfly_25d":0.06499999999999773,"tail_convexity":2.48},{"expiry":"2027-01-15","dte":222,"atm_iv":17.99,"put_25d_iv":21.16,"call_25d_iv":14.71,"put_10d_iv":27.01,"call_10d_iv":13.84,"skew_25d":6.45,"risk_reversal_25d":-6.449999999999999,"butterfly_25d":-0.05499999999999616,"tail_convexity":2.68},{"expiry":"2027-03-19","dte":285,"atm_iv":18.72,"put_25d_iv":21.47,"call_25d_iv":15.15,"put_10d_iv":27.19,"call_10d_iv":14.15,"skew_25d":6.32,"risk_reversal_25d":-6.3199999999999985,"butterfly_25d":-0.41000000000000014,"tail_convexity":2.97},{"expiry":"2027-03-31","dte":297,"atm_iv":18.74,"put_25d_iv":21.51,"call_25d_iv":14.98,"put_10d_iv":27.34,"call_10d_iv":14.05,"skew_25d":6.53,"risk_reversal_25d":-6.530000000000001,"butterfly_25d":-0.49499999999999744,"tail_convexity":3.06},{"expiry":"2027-06-17","dte":375,"atm_iv":19.45,"put_25d_iv":21.82,"call_25d_iv":15.61,"put_10d_iv":27.54,"call_10d_iv":14.46,"skew_25d":6.21,"risk_reversal_25d":-6.210000000000001,"butterfly_25d":-0.7349999999999994,"tail_convexity":3.35},{"expiry":"2027-09-17","dte":467,"atm_iv":19.84,"put_25d_iv":22.02,"call_25d_iv":15.78,"put_10d_iv":27.59,"call_10d_iv":14.73,"skew_25d":6.24,"risk_reversal_25d":-6.24,"butterfly_25d":-0.9400000000000013,"tail_convexity":3.39},{"expiry":"2027-12-17","dte":558,"atm_iv":20.37,"put_25d_iv":22.05,"call_25d_iv":16.01,"put_10d_iv":27.51,"call_10d_iv":14.89,"skew_25d":6.04,"risk_reversal_25d":-6.039999999999999,"butterfly_25d":-1.3399999999999999,"tail_convexity":3.78},{"expiry":"2028-01-21","dte":593,"atm_iv":20.47,"put_25d_iv":22.05,"call_25d_iv":15.99,"put_10d_iv":27.27,"call_10d_iv":14.87,"skew_25d":6.06,"risk_reversal_25d":-6.0600000000000005,"butterfly_25d":-1.4499999999999993,"tail_convexity":3.64},{"expiry":"2028-06-16","dte":740,"atm_iv":20.98,"put_25d_iv":22,"call_25d_iv":16.23,"put_10d_iv":26.88,"call_10d_iv":15.04,"skew_25d":5.77,"risk_reversal_25d":-5.77,"butterfly_25d":-1.8649999999999984,"tail_convexity":3.86},{"expiry":"2028-12-15","dte":922,"atm_iv":21.59,"put_25d_iv":22.05,"call_25d_iv":16.38,"put_10d_iv":26.6,"call_10d_iv":15.16,"skew_25d":5.67,"risk_reversal_25d":-5.670000000000002,"butterfly_25d":-2.375,"tail_convexity":4.09}]}