black scholes derived

agent402.toolsMarket data derived

POST https://agent402.tools/api/black-scholes

passlisted in Coinbase#84 by calls of 599 on this host

0.002 USDC

per call, as the listing declares it on eip155:8453

Compare with another Every figure as JSON Cite this page

the price, as of 2026-09-15 16:57 UTC · method · pinnable

Validation state: pass; as of 2026-09-15 04:09 UTC · method · pinnable · sweep daily-2026-09-15
Uptime, 7 / 30 / 90 days: 100% / 100% / 100%; as of 2026-09-15 04:09 UTC · method · pinnable · 5 of 5 in 7d, 5 of 5 in 30d, 5 of 5 in 90d
Calls, trailing 30 days: 4; as of 2026-09-15 16:57 UTC · method · pinnable
Unique payers, trailing 30 days: 1; as of 2026-09-15 16:57 UTC · method · pinnable
Last called: 2026-08-31 10:33 UTC; as of 2026-09-15 16:57 UTC · method · pinnable
First observed by TOLLderived: 2026-09-10; as of 2026-09-10 19:08 UTC · method · pinnable · observation began 10 September 2026; listings that predate it show that date
Pricederived: 0.002 USDC; as of 2026-09-15 16:57 UTC · method · pinnable · on eip155:8453
Networks: 12; as of 2026-09-15 16:57 UTC · method · pinnable

Counters

28 observations, 1 of them a change, fewer than the 3 a trace needs

How big is this endpoint among the ones like it?

Calls counted in the trailing thirty days across the 5,172 endpoints in Market data that carry counters, binned on a logarithmic scale because the range runs over five orders of magnitude. The marked bin is this endpoint, at 4: 1,238 in the category are counted higher and 3,933 lower.

No trace is drawn of this endpoint’s own volume. Its counters have changed 1 time across 28 observations, and 3 changes are the fewest this site will draw a trace through, because two points and a guess are not a series. Every observation is in the JSON.

In words

agent402.tools lists 599 endpoints; black scholes is tied 84th by calls with 252 others.

The request to black scholes is a json body with the fields spot, type, strike, volatility, riskFreeRate, dividendYield and 1 other.

A response from black scholes, as declared, includes d1, d2, rho, type, vega, delta and 2 others.

One payer accounts for all 4 calls to black scholes over 30 days.

The last call to black scholes came 15 days before the snapshot, 2026-08-31.

The declared price is 0.002 USDC on Base.

black scholes accepts payment on Base, Polygon, Arbitrum, Monad and 8 others, 13 options in all, to 4 different wallets.

TOLL files black scholes under market data: a POST endpoint on agent402.tools, listed in the Coinbase registry.

black scholes answered the sweep of 2026-09-15 with a valid 402, as at every sweep since 2026-09-11.

Closest in price to black scholes within market data: market risk at x402.ottoai.services and kimchi premium at api.printmoneylab.com.

black scholes is priced above 10% of comparable listings in market data.

Across market data, 5,172 endpoints carry counters and black scholes out-counts 70% of them.

For 6 of the options on black scholes, TOLL has no verified decimals and shows the raw amount. black scholes declares exact and upto as payment schemes.

591 listed endpoints on one host pay to the same wallet.

The seller's tags on black scholes are data, finance, options and black-scholes.

The price of black scholes is declared by 277 other listings in market data too.

Payment options as declared

the payment options, as of 2026-09-15 16:57 UTC · method · pinnable

Every payment option declared on this listing
registry	network	asset	amount	scheme	pay to
Coinbase	eip155:8453	USDC	0.002 USDC	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:137	USDC	0.002 USDC	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:42161	USDC	0.002 USDC	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:143	USDC	2000 smallest units, decimals unknown	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:43114	USDC	0.002 USDC	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:1329	USDC	2000 smallest units, decimals unknown	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:10	USDC	0.003 USDC	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:4663	Global Dollar	2000 smallest units, decimals unknown	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:42220	USDC	2000 smallest units, decimals unknown	exact	0xaBF4FA…e2a9D0
Coinbase	eip155:8453	USDC	0.002 USDC	upto	0xaBF4FA…e2a9D0
Coinbase	solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp	USDC	0.002 USDC	exact	J7aN3PLJ…Gv3xwg
Coinbase	stellar:pubnet	CCW67TSZ…SJMI75	20000 smallest units, decimals unknown	exact	GDNJXCKW…FJWWRL
Coinbase	algorand:wGHE2Pwdvd7S12BL5FaOP20EGYesN73ktiC1qzkkit8=	31566704	2000 smallest units, decimals unknown	exact	C7IIHG7S…OY2XIE

Preflight checks at the last sweep

the checks, as of 2026-09-15 04:09 UTC · method · pinnableendpoint answered HTTP 402

No named check failed.

Validation history, 90 days

Every sweep that observed this endpoint, newest first.

Validation observations over the last 90 days
observed, UTC	state	sweep
2026-09-15 04:09 UTC	pass	daily-2026-09-15
2026-09-14 04:07 UTC	pass	daily-2026-09-14
2026-09-13 04:07 UTC	pass	daily-2026-09-13
2026-09-12 06:22 UTC	pass	daily-2026-09-12
2026-09-11 09:50 UTC	pass	daily-2026-09-11

Registry presence

Presence in a registry, not liveness of the service (method). Newest first.

2026-09-10 19:08 UTClisted in Coinbase

Declared input and output, as listed

From the registry record, not validated by TOLL.the declared schema, as of 2026-08-31 10:33 UTC · method · live

The input and output block

{
  "input": {
    "body": {
      "spot": 100,
      "type": "call",
      "strike": 100,
      "volatility": 0.2,
      "riskFreeRate": 0.05,
      "dividendYield": 0,
      "timeToExpiryYears": 1
    },
    "type": "http",
    "method": "POST",
    "bodyType": "json"
  },
  "output": {
    "type": "json",
    "example": {
      "d1": 0.35,
      "d2": 0.15,
      "rho": 53.2325,
      "type": "call",
      "vega": 37.524,
      "delta": 0.6368,
      "gamma": 0.0188,
      "price": 10.4506,
      "theta": -6.414
    }
  }
}

What the listing says

Price a European option (call or put) with the Black-Scholes-Merton model, plus the greeks (delta, gamma, vega, theta, rho). Continuous dividend yield supported. Greeks are per unit: theta is per year, vega per 1.00 change in volatility, rho per 1.00 change in rate. Deterministic - matches standard references to the cent.

the record, 2026-08-31 10:33 UTC · method · pinnable

As declared

Every tag is a field on the listing, not a keyword TOLL assigned.

Who is paid

0xaBF4FA…e2a9D0

Takes payment for 591 endpoints on 1 host.

Among Market data

counted above70%

of 5,172 that carry counters

cheaper than10%

of 5,260 with a comparable price

5,316 endpoints are in this category. 277 declare exactly this price.

the comparison, 2026-09-15 16:57 UTC · method · live

Nearest on price

price btc usdvibesprings.net0.002 USDCpass
market riskx402.ottoai.services0.002 USDCpass
kimchi premiumapi.printmoneylab.com0.002 USDCpass
chain erc20 balanceapi.onesource.io0.003 USDCpass
route402signal.com0.003 USDCpass

Same category, nearest declared price, one per payee wallet (method). the list, 2026-09-15 16:57 UTC · method · live

Elsewhere in the record

Cite this page

The pinned URL below renders this page from the snapshot of 2026-09-15 16:57 UTC and does not change; the live page does, every six hours. Data reuse is under CC BY 4.0 (terms).

Plain text

TOLL, "black scholes on agent402.tools", snapshot of 2026-09-15 16:57 UTC. https://tollindex.com/e/agent402-tools-api-black-scholes-1fd5a2/at/2026-09-15T16-57Z. Accessed [access date].

BibTeX

@misc{toll-e-agent402-tools-api-black-scholes-1fd5a2-2026-09-15T16-57Z,
  author = {TOLL},
  title = {black scholes on agent402.tools},
  howpublished = {\url{https://tollindex.com/e/agent402-tools-api-black-scholes-1fd5a2/at/2026-09-15T16-57Z}},
  year = {2026},
  month = {9},
  note = {Pinned view of the snapshot of 2026-09-15 16:57 UTC. Accessed [access date].}
}

Reports and replies about this endpoint

None yet. Anything submitted through the form below is published here with its outcome.

Report an error about black scholes, or reply as the named seller