{"uid":"cap_bNlZYkfp2wUZM_QpkFm_Z","slug":"numora-financial-options-pricing-api-7f0049f0","name":"Numora Financial Options Pricing API","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numomo.vercel.app/api/financial/options","method":"POST","headers":{},"bodySchema":{"type":"object","required":["K","S","T","r","type","sigma"],"properties":{"K":{"type":"number","description":"Strike price"},"S":{"type":"number","description":"Spot price"},"T":{"type":"number","description":"Time to expiry (years)"},"r":{"type":"number","description":"Risk-free rate"},"type":{"type":"string"},"sigma":{"type":"number","description":"Volatility"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_x65pIClOvguJosAwTlcxv","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes Black-Scholes options pricing (price and Greeks) for call or put options given spot price, strike, volatility, time to expiry, and risk-free rate","exampleAgentPrompt":"Can you calculate the Black-Scholes price and Greeks for a call option where the spot price is $150, strike is $155, time to expiry is 0.25 years, risk-free rate is 5%, and implied volatility is 20%?","exampleUseCases":[{"title":"Trader pricing a call option","prompt":"I'm looking at a call option on a stock trading at $200, with a $210 strike, 6 months to expiry, 4% risk-free rate, and 25% volatility — what's the fair Black-Scholes price?"},{"title":"Hedging delta exposure","prompt":"I need to know the delta and other Greeks for a put option: spot is $80, strike $75, 3 months to expiry (0.25 years), risk-free rate 3%, volatility 18% — so I can figure out how many contracts to hedge with."},{"title":"Comparing put vs call value","prompt":"What's the theoretical Black-Scholes price for a put option with a spot of $500, strike of $490, 1 year to expiry, 5% risk-free rate, and 30% volatility?"}],"resultDescription":"Returns a JSON object with success flag, a result object containing the computed option price and Greeks (delta, gamma, theta, vega, rho), and a human-readable computation description string explaining what was calculated.","failureModes":["Missing required fields (K, S, T, r, type, sigma) return validation errors","Invalid option type string (not 'call' or 'put') causes computation failure","Negative or zero values for S, K, T, or sigma may produce undefined mathematical results","Very large or very small sigma values may cause numerical instability","Network or server errors return non-200 HTTP status"],"whenToPreferThis":"Use this endpoint when you need fast, self-contained Black-Scholes options pricing and Greeks computation without relying on external market data feeds or financial data providers. Ideal for AI agents building financial calculators, strategy simulators, or hedging tools that supply their own market parameters. Prefer over general-purpose math libraries when you need a clean JSON API response with no setup.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:44:38.495Z","isFirstParty":false}