Annuity present/future value
POST /api/annuityPresent and future value of a level annuity (equal periodic payments). Send POST /api/annuity with the required fields payment, ratePerPeriod and periods and pay $0.001 per call over x402 or MPP, or call it free by solving a proof-of-work challenge. It returns a JSON object with presentValue, futureValue and type.
Supports an ordinary annuity (payments at period end) and an annuity-due (payments at period start).
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
payment | number | yes | Payment per period (PMT) |
ratePerPeriod | number | yes | Interest rate per period as decimal |
periods | number | yes | Number of payments (positive integer) |
type | string | no | "ordinary" (end) or "due" (start). Default ordinary. |
Example request
curl -i -X POST https://agent402.tools/api/annuity \
-H "Content-Type: application/json" \
-d '{"payment":100,"ratePerPeriod":0.05,"periods":10,"type":"ordinary"}'
Without payment this returns HTTP 402 Payment Required with the exact price for annuity; any x402 v2 or MPP client pays it and retries.
Example response
{
"presentValue": 772.17,
"futureValue": 1257.79,
"type": "ordinary"
}
| Field | Type | Always present | In the example |
|---|---|---|---|
presentValue | number | yes | 772.17 |
futureValue | number | yes | 1257.79 |
type | string | yes | ordinary |
From an MCP client
catalog.call {
"slug": "annuity",
"params": {
"payment": 100,
"ratePerPeriod": 0.05,
"periods": 10,
"type": "ordinary"
}
}
On the hosted connector at https://agent402.tools/mcp, catalog.call runs annuity free (rate-limited, no wallet). Local install: npx -y agent402-mcp.
Errors and behavior
payment,ratePerPeriodandperiodsare required. An input the tool rejects returns an HTTP 4xx whose body carrieserror,tool,expected,requiredandexample, so the caller can correct it.- A paid call that ends in any status of 400 or above is not charged over x402, MPP or a prepaid credits key: settlement is cancelled when the tool fails. The exception is a Tempo push credential, a transfer the buyer sent before the call: it settles before the tool runs, so if the tool then fails the payment is recorded as a refund owed to the paying wallet.
- Free tier: no outbound network call leaves the server for this tool, so proof-of-work (16 leading zero bits of sha256) pays for it.
- A
GETorHEADto /api/annuity returns the same 402 quote, so the price can be read without a body. - An
Idempotency-Keyheader makes a retried paid call replay the first 200 instead of charging again (an answer larger than 1 MB is not replayed).
Paid call (JavaScript agent)
import { wrapFetchWithPayment } from "@x402/fetch";
import { x402Client } from "@x402/core/client";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";
const client = new x402Client();
client.setSpendControls?.(false); // keep your own spending ceiling in code
registerExactEvmScheme(client, { signer: privateKeyToAccount(KEY) });
const payFetch = wrapFetchWithPayment(fetch, client);
const res = await payFetch("https://agent402.tools/api/annuity", {
method: "POST",
headers: { "Content-Type": "application/json" },
body: JSON.stringify({
"payment": 100,
"ratePerPeriod": 0.05,
"periods": 10,
"type": "ordinary"
}),
});
No wallet? Pay with compute
Fetch a challenge, solve the sha256 puzzle (16 leading zero bits, a fraction of a second of CPU), and resend with the X-Pow-Solution header:
import { createHash } from "node:crypto";
const lz = (b) => { let t = 0; for (const x of b) { if (!x) { t += 8; continue; } t += Math.clz32(x) - 24; break; } return t; };
const c = await (await fetch("https://agent402.tools/api/pow/challenge?slug=annuity")).json();
let n = 0;
while (lz(createHash("sha256").update(c.challenge + ":" + n).digest()) < c.difficulty) n++;
await fetch("https://agent402.tools/api/annuity", { method: "POST", headers: { "X-Pow-Solution": c.token + ":" + n, "Content-Type": "application/json" }, body: JSON.stringify({"payment":100,"ratePerPeriod":0.05,"periods":10,"type":"ordinary"}) });
Related tools
Bond price
POST /api/bond-pricePrice a fixed-coupon bond from its yield to maturity: present-value the coupons plus face. Returns clean price, coupon p…
Compound interest
POST /api/compound-interestCompute future value of a principal under compound interest. Returns future value, total interest earned, and the effect…
Net present value (NPV)
POST /api/npvCompute the net present value of a stream of cashflows at a given discount rate. Index 0 is treated as t=0 (today, not d…
Amortization schedule
POST /api/amortizationBuild the full per-period amortization schedule for a fully-amortizing loan. Each row reports the period number, payment…
Black-Scholes option price
POST /api/black-scholesPrice a European option (call or put) with the Black-Scholes-Merton model, plus the greeks (delta, gamma, vega, theta, r…
Bond yield to maturity
POST /api/bond-ytmSolve a bond's yield to maturity from its market price - the annual rate that present-values the coupons plus face to th…