{"uid":"cap__rlgOfjx6mX2QvMadBZ3_","slug":"investing-math-expected-move-calculator-2820ce5e","name":"Investing Math – Expected Move Calculator","description":"The price range implied by volatility over a number of days: one and two standard deviations, from implied or historical vol.","url":"https://invest-math.x402tookit.com/expected-move?utm_source=zero.xyz","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"],"type":"string"},"queryParams":{"type":"object","required":["price","volPct","days"],"properties":{"days":{"type":"number","description":"Calendar days ahead, 0.1 to 3650"},"price":{"type":"number","description":"Current price"},"volPct":{"type":"number","description":"Annualised volatility in percent, e.g. implied volatility"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","properties":{"asOf":{"type":["null","string"]},"source":{"type":["null","string"]},"reasons":{"type":["array","null"],"items":{"type":"string"}},"summary":{"type":["null","string"]},"verdict":{"type":["null","string"]},"degraded":{"type":["boolean","null"]},"disclaimer":{"type":["null","string"]},"notChecked":{"type":["array","null"],"items":{"type":"string"}},"horizonDays":{"type":["null","number"]},"oneSigmaLow":{"type":["null","number"]},"oneSigmaPct":{"type":["null","number"]},"twoSigmaLow":{"type":["null","number"]},"dailyMovePct":{"type":["null","number"]},"oneSigmaHigh":{"type":["null","number"]},"oneSigmaMove":{"type":["null","number"]},"twoSigmaHigh":{"type":["null","number"]}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","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":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_9svif7yN8HFdBrv9q5QT3","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates the price range implied by volatility over a specified number of days, returning one and two standard deviation move bounds.","exampleAgentPrompt":"What's the expected move for a stock currently priced at $200 with 35% implied volatility over the next 30 calendar days — give me the one and two sigma price ranges.","exampleUseCases":[{"title":"Options expiry price range check","prompt":"I'm looking at an options contract expiring in 21 days. The stock is at $450 and implied vol is 28%. What are the one and two standard deviation price ranges I should be watching?"},{"title":"Earnings announcement move estimate","prompt":"Earnings are in 3 days and the stock is trading at $85 with 120% IV. What expected price range does that volatility imply for the move?"},{"title":"Portfolio risk band monitoring","prompt":"I hold a position in an ETF priced at $310 with historical volatility of 18% annualised. Over the next 90 days, what are the one and two sigma price bounds I should plan around?"}],"resultDescription":"Returns the computed one-sigma and two-sigma price bands (low and high levels) around the current price, the absolute move amount, the percentage move at one sigma, the daily move percentage, and the horizon in days used for the calculation. May also include summary text, disclaimer, and data source metadata.","failureModes":["Missing required query parameters (price, volPct, days) returns a validation error","Days value outside the 0.1–3650 range rejected","Negative or zero price or volatility values may cause errors","Network or payment failures result in no response"],"whenToPreferThis":"Use this endpoint when you need a fast, mathematically precise expected-move calculation from a known volatility figure (implied or historical) and a time horizon, without needing live market data lookups. Ideal for options analysis, risk planning, and earnings trade sizing where the user already has a vol figure in hand.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-29T13:13:40.466Z","isFirstParty":false,"canonicalSlug":"investing-math-expected-move-calculator-2820ce5e"}