# AgentsToolsHub APR to APY Converter

> AgentsToolsHub APR to APY Converter is a paid API for AI agents from agentstoolshub.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-27).

Converts a nominal annual interest rate (APR) to an effective annual yield (APY) for any compounding frequency, including continuous compounding, using exact closed-form DeFi math.

## Facts

- Endpoint: GET https://agentstoolshub.com/api/v1/crypto/apr-apy?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-27
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/agentstoolshub-apr-to-apy-converter-e51933f4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_1Alhx-hlfojeR0V1JdJIY

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability agentstoolshub-apr-to-apy-converter-e51933f4
```

Example prompt: What's the actual APY on a 10% APR DeFi pool that compounds daily? I want the exact effective yield, not an approximation.

## When to prefer this

Choose this endpoint when you need a deterministic, mathematically exact conversion from APR to APY for any standard or continuous compounding frequency — especially in DeFi, crypto, or financial analysis contexts where approximations are unacceptable. It is ideal for agents comparing yield products, auditing advertised rates, or performing financial modeling with precise interest rate math.

## Known failure modes

- Missing required ratePct parameter returns a validation error
- Invalid compounding frequency value (not in allowed enum) returns an error
- Extremely large or negative ratePct values may produce unexpected mathematical results
- Network or payment failure (x402 micropayment not processed) blocks the request

## How this service works

Convert APR (nominal annual rate) to APY (effective annual yield) for any compounding frequency including continuous — the exact DeFi math that decides whether a 10% APR pool really pays 10%. Deterministic closed-form, no approximations. Use this when an agent needs to nominal rate → effective yield, any compounding.

## Output

Returns the effective annual yield (APY) as a percentage, computed using the exact closed-form formula for the specified compounding frequency (annually, quarterly, monthly, daily, or continuously). No approximations are used — the result reflects the true compounding effect on the nominal rate.

## Request schema (JSON Schema)

```json
{
 "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": [
      "ratePct"
     ],
     "properties": {
      "ratePct": {
       "type": "number",
       "description": "APR (%)"
      },
      "compounding": {
       "enum": [
        "annually",
        "quarterly",
        "monthly",
        "daily",
        "continuous"
       ],
       "type": "string",
       "description": "Compounding"
      }
     }
    }
   },
   "additionalProperties": false
  },
  "output": {
   "type": "object",
   "required": [
    "type"
   ],
   "properties": {
    "type": {
     "type": "string"
    },
    "example": {
     "type": "object"
    }
   }
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/agentstoolshub-apr-to-apy-converter-e51933f4/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from agentstoolshub.com](https://www.zero.xyz/host/agentstoolshub.com/llms.txt)