# Numora Payback Period Calculator

> Numora Payback Period Calculator is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes the payback period for an investment given a series of cash flows, returning how long it takes to recover the initial investment.

## Facts

- Endpoint: POST https://numormo.vercel.app/api/financial/payback
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-payback-period-calculator-fde90d9a
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_jcrwPpsuEBt1KW2B2BVIW

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 numora-payback-period-calculator-fde90d9a -d '<json body>'
```

Example prompt: Calculate the payback period for an investment of $50,000 with annual cash flows of $10,000, $15,000, $20,000, and $18,000.

## When to prefer this

Use this endpoint when you need a pure mathematical payback period calculation with zero external dependencies. It is ideal for AI agents doing financial planning, capital budgeting, or investment analysis without needing to integrate with a full financial data provider. It supports micropayment-based access via x402 on Base, making it suitable for pay-per-call agent workflows.

## Known failure modes

- Missing required 'investment' field returns validation error
- Missing or empty 'cashflows' array returns validation error
- Investment amount of zero or negative may cause computation errors
- Cash flows that never sum to the investment amount may return Infinity or an error indicating the investment is never recovered
- Non-numeric values in the cashflows array will cause computation failure

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a boolean success flag, a result object containing the computed payback period (typically in years or periods), and a human-readable computation string describing what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "cashflows",
  "investment"
 ],
 "properties": {
  "cashflows": {
   "type": "array"
  },
  "investment": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-payback-period-calculator-fde90d9a/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)