{"price":10.45057562,"greeks":{"delta":0.63683059,"gamma":0.01876202,"vega":37.52403469,"theta":-6.41402764,"rho":53.23248343},"inputs":{"spot":100,"strike":100,"timeToExpiry":1,"rate":0.05,"volatility":0.2,"optionType":"call","dividendYield":0},"model":"black-scholes-merton","optionStyle":"european","timeline":{"forwardStart":"2026-08-30T12:39:22.337Z","expiration":"2027-08-30T18:39:22.337Z","effectiveStart":"2026-08-30T12:39:22.337Z","tauYears":1,"calendarYearsToExpiry":1,"yearBasis":"ACT/365.25"},"greeksQuality":"analytic","units":{"price":"option value in spot currency units","delta":"dV/dS (share equivalent)","gamma":"d²V/dS²","vega":"dV/dσ per 1.0 absolute volatility (not per 1%)","theta":"dV/dT per year (not per day)","rho":"dV/dr per 1.0 absolute rate (not per 1%)"},"requestId":"7c0e900d-be87-4263-9f5b-5862e2b401fd","computedAt":"2026-08-30T12:39:22.337Z","demo":true,"note":"Fixed ATM sample via live Black-Scholes engine. For custom inputs use paid POST /v1/option/price (USDC x402)."}