{"uid":"cap_QaNf0Qh0KATALBpP8HKD8","slug":"discounted-present-value-local-finite-change-elasticity-calculator-88a6b220","name":"Discounted Present Value – Local Finite-Change Elasticity Calculator","description":"Discounted present value - Local finite-change elasticity: Measure output response to a supplied small percentage change in one nonzero input; local approximation. Metric: Discounted present value. Supplied figures only; returns JSON with formula, units and limitations. One of 50 calculators with 20 analysis modes. No live feed, financial advice or trade execution. 0.01 USDC includes one bounded local finite-change elasticity report.","url":"https://market.datapackvibe.com/x402/assistant-finance-present-value-elasticity?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"field":{"enum":["future_value","annual_effective_rate_percent","years"],"type":"string","default":"future_value"},"baseline":{"type":"object","default":{"years":2,"future_value":12000,"annual_effective_rate_percent":5},"required":["future_value","annual_effective_rate_percent","years"],"properties":{"years":{"type":"number","default":2,"maximum":100,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period"},"future_value":{"type":"number","default":12000,"maximum":1000000000000,"minimum":-1000000000000,"description":"Amount in a consistent supplied currency and reporting period"},"annual_effective_rate_percent":{"type":"number","default":5,"maximum":100,"minimum":-99,"description":"Percent units: enter 5 for 5%, not 0.05"}},"additionalProperties":false},"step_percent":{"type":"number","default":1,"maximum":10,"minimum":0.01}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","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":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_PGLQ-Lgc73vgq_nDirR9k","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates how discounted present value (PV) responds to a small percentage change in a specified input (future value, interest rate, or time horizon) using local finite-change elasticity approximation.","exampleAgentPrompt":"For a payment of $12,000 due in 2 years at a 5% annual effective rate, calculate how sensitive the discounted present value is to a 1% change in the future_value — give me the local finite-change elasticity with formula and limitations.","exampleUseCases":[{"title":"Rate sensitivity check for a bond","prompt":"I have a bond paying $50,000 in 5 years, discounted at 4% annually. What's the local elasticity of the present value to a 0.5% step change in the annual effective rate? I want the formula and any caveats."},{"title":"Time-horizon sensitivity for an investment","prompt":"If I'm expecting $25,000 in 3 years at a 6% annual effective rate, how sensitive is the discounted present value to small changes in the number of years? Use a 1% step and give me the elasticity report."},{"title":"Future value sensitivity for financial planning","prompt":"I'm discounting a future amount of $100,000 received in 10 years at 7% annually — can you compute the local finite-change elasticity of the present value with respect to the future_value, with a 2% step size?"}],"resultDescription":"Returns a JSON object containing the computed local finite-change elasticity coefficient of discounted present value with respect to the specified input field, along with the formula used, units, and a description of limitations of the local approximation.","failureModes":["Invalid field name not in enum (future_value, annual_effective_rate_percent, years)","annual_effective_rate_percent outside allowed range -99 to 100","years outside allowed range 0 to 100","future_value outside allowed range ±1,000,000,000,000","step_percent outside allowed range 0.01 to 10","Baseline field value is zero (elasticity undefined for zero denominator)","Payment failure or insufficient USDC balance"],"whenToPreferThis":"Choose this endpoint when you need a local sensitivity/elasticity measure for discounted present value around a specific baseline scenario — particularly when you want a finite-difference approximation rather than an analytical derivative, and when you need the result with explicit formula and limitation documentation. Prefer this over general financial calculators when the specific output is an elasticity coefficient for PV analysis.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-22T12:47:12.440Z","isFirstParty":false,"canonicalSlug":"discounted-present-value-local-finite-change-elasticity-calculator-88a6b220"}