{"uid":"cap_PzO57OGRHcG0MScANeQTu","slug":"delx-commerce-expected-log-growth-calculator-96d2d024","name":"Delx Commerce — Expected Log Growth Calculator","description":"Pay-per-result APIs for agents. No signup. Exact price. Verifiable delivery. USDC on Base + Solana via x402.","url":"https://commerce.delx.ai/api/v1/x402/expected-log-growth?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"fraction":{"type":"number","description":"Input field: fraction."},"true_prob":{"type":"number","description":"Input field: true prob."},"market_price":{"type":"number","description":"Input field: market price."}}},"responseSchema":{"type":"json","example":{"schema":"delx/util-expected-log-growth/v1","fraction":0.1,"expected_log_growth":0.02704230164346613}},"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_lc_ziPUSDSI_l1b2KDr-v","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":"Computes the expected logarithmic portfolio growth (Kelly criterion-style) given a bet fraction, true probability, and market price.","exampleAgentPrompt":"Calculate the expected log growth if I bet a fraction of 0.1 of my bankroll, with a true probability of 0.6 and a market price of 0.55.","exampleUseCases":[{"title":"Prediction market bet sizing","prompt":"I'm thinking of betting 15% of my bankroll on a prediction market where I think the true probability is 65% but the market is pricing it at 58% — what's the expected log growth of that position?"},{"title":"Kelly criterion edge verification","prompt":"Check whether a 5% bet fraction gives positive expected log growth when the true probability is 52% and the market price is 0.50."},{"title":"Optimal fraction sensitivity analysis","prompt":"I want to see the expected log growth for a fraction of 0.20, with a true probability of 0.70 and a market price of 0.65 — is this a good size for my edge?"}],"resultDescription":"Returns a JSON object with the schema identifier 'delx/util-expected-log-growth/v1', the echoed input fraction, and the computed expected_log_growth as a floating-point number representing the expected logarithmic growth of the bankroll under the given parameters.","failureModes":["Missing required fields (fraction, true_prob, or market_price) return a validation error","Invalid probability values outside [0,1] may produce mathematically undefined results or errors","Market price equal to 0 causes division-by-zero or undefined log output","Payment failure via x402 returns 402 Payment Required before computation occurs"],"whenToPreferThis":"Choose this endpoint when you need a fast, pay-per-result computation of expected logarithmic growth (Kelly-style) for a binary bet or prediction market position, without requiring account setup. Prefer it over manual Kelly calculation when operating inside an agent pipeline that can pay micro-amounts in USDC and needs verifiable, structured output.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-01T00:53:50.005Z","isFirstParty":false,"canonicalSlug":"delx-commerce-expected-log-growth-calculator-96d2d024"}