{"uid":"cap_P4Rk4mR1j81fjWhl7izfx","slug":"defi-math-helper-apr-apy-impermanent-loss-liquidation-price-leverage-e0a41a69","name":"DeFi Math Helper (APR/APY, Impermanent Loss, Liquidation Price, Leverage)","description":"DeFi math helper: APR and APY conversion, funding annualization, impermanent loss, liquidation price, and leverage. Pure computation over your inputs.","url":"https://api.agentstools.dev/quant/defi","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET","HEAD","DELETE"],"type":"string"},"queryParams":{"type":"object","required":["op"],"properties":{"n":{"type":"number","description":"Compounding periods per year for the rate conversions"},"op":{"enum":["apr_to_apy","apy_to_apr","funding_annualized","impermanent_loss","liquidation_price","leverage","lp_value"],"type":"string","description":"Which DeFi formula to evaluate"},"apr":{"type":"number","description":"APR as a decimal for op=apr_to_apy"},"apy":{"type":"number","description":"APY as a decimal for op=apy_to_apr"},"rate":{"type":"number","description":"Per-period funding rate for op=funding_annualized"},"side":{"enum":["long","short"],"type":"string","description":"Position side for op=liquidation_price"},"equity":{"type":"number","description":"Equity for op=leverage"},"leverage":{"type":"number","description":"Leverage for op=liquidation_price and op=leverage"},"notional":{"type":"number","description":"Notional for op=leverage"},"entry_price":{"type":"number","description":"Entry price for op=liquidation_price"},"price_ratio":{"type":"number","description":"Price ratio k for impermanent loss and LP value"},"initial_value":{"type":"number","description":"Optional initial value for op=lp_value"},"periods_per_year":{"type":"number","description":"Funding periods per year, default 1095"},"maintenance_margin":{"type":"number","description":"Maintenance margin as a decimal, default 0.005"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object"}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.002","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":"$0.002/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm__Ab5--YzadMnXBEtpLFzF","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.002","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Performs DeFi financial computations including APR/APY conversion, funding rate annualization, impermanent loss, liquidation price, leverage, and LP value calculations.","exampleAgentPrompt":"What's my liquidation price if I go long at an entry price of $2000 with 10x leverage and a 0.5% maintenance margin? Also, what's the APY if the APR is 12% compounded monthly (n=12)?","exampleUseCases":null,"resultDescription":"Returns a JSON object with the computed result for the requested DeFi operation — e.g. the APY value, impermanent loss percentage, liquidation price level, annualized funding rate, leverage ratio, or LP value — based purely on the input parameters provided.","failureModes":["Missing required 'op' query parameter returns an error","Supplying wrong parameters for the chosen op (e.g. missing 'apr' for op=apr_to_apy) causes a validation error","Invalid enum value for 'op' or 'side' returns a 400-style error","Non-numeric values for numeric fields cause parse errors","Payment not included or insufficient results in a 402 Payment Required response"],"whenToPreferThis":"Use this endpoint when you need fast, pure-math DeFi calculations without connecting to any blockchain or live data source — ideal for computing APR/APY conversions, estimating impermanent loss scenarios, determining liquidation prices before entering a trade, or sizing leverage positions based on equity and notional values.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:10:24.971Z","isFirstParty":false}