{"sample":true,"note":"Static example of what /options/price returns; not live data and not charged. Call without sample=1 and pay $0.01 with any x402 client for a live result.","tool":"/options/price","price":"$0.01","example":{"inputs":{"spot":100,"strike":100,"years":1,"vol":0.2,"rate":0.05,"dividend":0},"call":{"price":10.450584,"delta":0.636831,"gamma":0.018762,"vega":0.37524,"theta":-0.017573,"rho":0.532325,"probabilityItm":0.559618},"put":{"price":5.573526,"delta":-0.363169,"gamma":0.018762,"vega":0.37524,"theta":-0.004542,"rho":-0.418905,"probabilityItm":0.440382},"d1":0.35,"d2":0.15,"model":"Black-Scholes-Merton (European exercise)"}}