# Numora Payback Period Calculator

> Numora Payback Period Calculator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-13).

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

## Facts

- Endpoint: POST https://numomo.vercel.app/api/financial/payback
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-payback-period-calculator-d18743a2
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ZCbJfQhoTqvBbnVIQ3Dqc

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-d18743a2 -d '<json body>'
```

Example prompt: I made an initial investment of $50,000 and expect cash flows of $10,000, $15,000, $18,000, $20,000, and $12,000 over the next five years — how long will it take to pay back the investment?

## When to prefer this

Choose this endpoint when you need a pure, dependency-free payback period calculation without requiring IRR, NPV, or discounted cash flow analysis. Ideal for quick capital budgeting screening, agent workflows that need deterministic financial math with no external API dependencies, and scenarios where a simple break-even timeline (undiscounted) is sufficient. Use this over spreadsheet tools when you need a programmatic, API-accessible result with micropayment pricing per call.

## Known failure modes

- Missing required 'cashflows' array returns a validation error
- Missing required 'investment' number returns a validation error
- Empty cashflows array may result in an error or infinite payback period
- Investment never fully recovered from provided cash flows may return null or infinity
- Non-numeric values in cashflows array cause computation failure
- Negative investment value may produce unexpected results

## 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 expressed in periods/years, potentially including fractional 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-d18743a2/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)