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finmath Annualized Basis Calculator
x402
finmath Annualized Basis Calculator is a paid API for AI agents from finmath.qzqh5rrbkz.workers.dev, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-15).
Computes the annualized basis (carry) between a spot price and a futures price given days to expiry, expressed as an annualized percentage rate.
Price / call$0.001
Success—
StatusUnknown
How this service works
Deterministic finance and crypto math for AI agents: TradFi (NPV, IRR, XIRR, Black-Scholes + Greeks, bonds, VaR, Sharpe) and DeFi (impermanent loss, perp liquidation, funding, Uniswap v3, health factor, cost basis). Exact, model-free arithmetic that LLMs get wrong — priced per call in USDC.
Output
Returns a result object containing the annualized basis as a decimal or percentage (e.g. 0.156 meaning ~15.6% APR), plus a meta object with calculation details. This tells you the implied annual yield from the spot-futures spread.
Example use cases
Example prompt
“BTC spot is $65,000 and the December futures are trading at $67,500 with 45 days until expiry — what's the annualized basis on that trade?”
Technical details
Endpoint
POSThttps://finmath.qzqh5rrbkz.workers.dev/v1/basis_annualizedWhen to prefer
Use this endpoint when you need exact, deterministic annualized basis arithmetic between a spot and futures price — especially for cash-and-carry analysis, arbitrage yield estimation, or cross-exchange basis comparison. Prefer this over LLM-generated math when precision matters or when you need auditable, model-free arithmetic for financial decision-making.
Side effects
- Missing required fields (spot, futures, days_to_expiry) returns a 400-level error
- days_to_expiry of zero causes division-by-zero and likely returns an error or infinity
- Negative spot or futures prices may produce nonsensical results
- Payment not included or insufficient USDC results in 402 Payment Required
Input
{
"spot": 50000,
"futures": 50500,
"days_to_expiry": 30
}Schema · Request body
| Field | Type | Description |
|---|---|---|
| spotrequired | number | spot |
| futuresrequired | number | futures |
| days_to_expiryrequired | number | days_to_expiry |
Output
{
"meta": {
"tool": "basis_annualized",
"model": true,
"disclaimer": "Deterministic calculation utility. Not financial, investment, or trading advice.",
"assumptions": [
"Actual/365 annualization",
"ignores carry costs beyond price difference"
],
"deterministic": true
},
"result": {
"basis_pct": 0.01,
"annualized": 0.12166666666666666
}
}Schema · Response
| Field | Type | Description |
|---|---|---|
| metarequired | object | |
| resultrequired | — |
Tags
x402
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