{"uid":"cap_jcrwPpsuEBt1KW2B2BVIW","slug":"numora-payback-period-calculator-fde90d9a","name":"Numora Payback Period Calculator","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://numormo.vercel.app/api/financial/payback","method":"POST","headers":{},"bodySchema":{"type":"object","required":["cashflows","investment"],"properties":{"cashflows":{"type":"array"},"investment":{"type":"number"}}},"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_C2EM5n-JgUBQ4N0Q1J2H-","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 the payback period for an investment given a series of cash flows, returning how long it takes to recover the initial investment.","exampleAgentPrompt":"Calculate the payback period for an investment of $50,000 with annual cash flows of $10,000, $15,000, $20,000, and $18,000.","exampleUseCases":[{"title":"Capital project breakeven analysis","prompt":"I'm evaluating a $200,000 equipment purchase. The expected cash flows over the next 5 years are $30,000, $45,000, $60,000, $70,000, and $65,000. How long before I recover that investment?"},{"title":"Startup funding recovery timeline","prompt":"Our startup received a $500,000 investment and we're projecting quarterly cash inflows of $50,000, $75,000, $100,000, $120,000, $150,000, and $200,000. Can you calculate when investors will get their money back?"},{"title":"Real estate rental property payback","prompt":"If I buy a rental property for $300,000 and it generates net cash flows of $24,000 in year 1, $26,000 in year 2, $28,000 in year 3, $30,000 in year 4, and $32,000 in year 5, what's the payback period?"}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed payback period (typically in years or periods), and a human-readable computation string describing what was calculated.","failureModes":["Missing required 'investment' field returns validation error","Missing or empty 'cashflows' array returns validation error","Investment amount of zero or negative may cause computation errors","Cash flows that never sum to the investment amount may return Infinity or an error indicating the investment is never recovered","Non-numeric values in the cashflows array will cause computation failure"],"whenToPreferThis":"Use this endpoint when you need a pure mathematical payback period calculation with zero external dependencies. It is ideal for AI agents doing financial planning, capital budgeting, or investment analysis without needing to integrate with a full financial data provider. It supports micropayment-based access via x402 on Base, making it suitable for pay-per-call agent workflows.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:53:10.954Z","isFirstParty":false}