{"uid":"cap_wSAXHD-6hJrKmJ_bfff2v","slug":"agent402-tools-effective-annual-rate-calculator-c81002ff","name":"agent402.tools Effective Annual Rate Calculator","description":"Convert a nominal annual rate (APR) compounded m times per year into the effective annual rate (EAR / APY): (1 + apr/m)^m - 1. Set continuous:true for e^apr - 1.","url":"https://agent402.tools/api/effective-annual-rate","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"continuous":{"type":"boolean","description":"If true, use continuous compounding (e^apr - 1)."},"nominalAnnualRate":{"type":"number","description":"Nominal annual rate / APR as decimal"},"compoundingPerYear":{"type":"number","description":"Compounding periods per year. Default 12."}}},"responseSchema":{"type":"json","example":{"nominalAnnualRate":0.12,"compoundingPerYear":12,"effectiveAnnualRate":0.126825}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","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":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_5S43DiGVsex_qCxFkDayi","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Converts a nominal annual rate (APR) compounded m times per year into the effective annual rate (EAR/APY), supporting both periodic and continuous compounding.","exampleAgentPrompt":"What's the effective annual rate (APY) on a loan with a 7.5% nominal APR compounded monthly — can you calculate that for me?","exampleUseCases":null,"resultDescription":"Returns the effective annual rate (EAR/APY) as a decimal, computed from the formula (1 + apr/m)^m - 1 for periodic compounding, or e^apr - 1 for continuous compounding.","failureModes":["Missing nominalAnnualRate field returns a validation error","Invalid or non-numeric rate/compounding values cause a 400 error","compoundingPerYear of zero causes division-by-zero error","Payment failure or insufficient USDC balance returns 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a precise mathematical conversion from nominal APR to effective annual rate (EAR/APY), especially when comparing financial products with different compounding frequencies or when handling continuous compounding scenarios.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T01:03:14.713Z","isFirstParty":false}