{"uid":"cap_hJCwKXFc-So09MHmrJBou","slug":"kelly-criterion-binary-fraction-calculator-bbdb3b7f","name":"Kelly Criterion Binary Fraction Calculator","description":"Binärer Kelly-Anteil als Modellzahl. Unbegrenztes binäres Modell, konstante unabhängige Treffer; negative Ergebnisse werden nicht zu einem Einsatzvorschlag umgedeutet. Alle Zahlen, Kurse und Vorgaben liefert der Aufrufer. Keine eigenen Kursdaten, kein Brokerzugriff, keine Ausführung. Rechenwerkzeug, keine Anlageberatung, keine Empfehlung.","url":"https://handel.halowerk.com/v1/rechner/kelly?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"payoff_ratio":{"type":"number","maximum":1000000000000,"minimum":1e-12},"win_probability":{"type":"number","maximum":1,"minimum":0}}},"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_o8TmPI8Y4j-PDmDmKxQAd","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":"Computes the binary Kelly fraction (optimal bet size as a proportion of capital) given a win probability and payoff ratio, with no market data or brokerage access.","exampleAgentPrompt":"Calculate the Kelly fraction for a binary bet where I have a 55% chance of winning and the payoff ratio is 1.8.","exampleUseCases":[{"title":"Optimal forex position sizing","prompt":"I have a forex strategy with a 58% win rate and each winning trade returns 1.5 times the risk. What Kelly fraction should I be sizing my positions at?"},{"title":"Sports betting stake calculation","prompt":"I think there's a 62% chance of this match outcome happening, and the bookmaker is offering 2.1 to 1. What does the Kelly criterion say my stake fraction should be?"},{"title":"Algorithmic trading risk calibration","prompt":"My backtested algo has a 52% win probability and a payoff ratio of 2.4. Give me the Kelly fraction so I can set my position size limits."}],"resultDescription":"A numeric Kelly fraction (between 0 and 1, or negative if the bet is unfavorable, returned as-is without reinterpretation) representing the theoretically optimal proportion of capital to allocate to a single binary bet given the supplied win probability and payoff ratio.","failureModes":["win_probability outside [0,1] — validation error","payoff_ratio below 1e-12 or above 1e12 — validation error","missing required fields — request rejected","negative Kelly fraction returned as-is (not reinterpreted as zero) — callers must handle edge cases themselves"],"whenToPreferThis":"Use this endpoint when you need a pure, stateless computation of the binary Kelly fraction with no side effects, no external data fetching, and no broker integration. Prefer it over general-purpose formula evaluators when you want a dedicated, validated implementation of Kelly criterion math. Not suitable if you need continuous Kelly variants, fractional Kelly presets, or market data lookups.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-21T18:42:23.840Z","isFirstParty":false,"canonicalSlug":"kelly-criterion-binary-fraction-calculator-bbdb3b7f"}