Option Greeks
API · /blackscholes-api
Black-Scholes Options API
healthy
3,807 Subscribers
Black-Scholes-Merton European option pricing as an API, computed locally and deterministically. The price endpoint computes the fair value of a European call and put from the spot price, strike, annualized risk-free rate, annualized volatility, time to expiry in years and an optional continuous dividend yield, using Call = S·e^(−qT)·N(d1) − K·e^(−rT)·N(d2) and the put-call-parity put, with d1 = [ln(S/K) + (r − q + σ²/2)·T]/(σ√T) and d2 = d1 − σ√T and a high-accuracy standard-normal CDF — an at-the-money option on a 100 spot with a 5 % rate, 20 % volatility and one year to expiry is worth about 10.45 for the call and 5.57 for the put. The greeks endpoint returns the full risk sensitivities for both call and put: delta (∂V/∂S), gamma (∂²V/∂S²), vega (∂V/∂σ, per 1.00 and per 1 % point), theta (∂V/∂t, per year and per calendar day) and rho (∂V/∂r). Rates, dividend yield and volatility are annualized and time is in years, continuous compounding. Everything is computed locally and deterministically, so it is instant and private. Ideal for fintech, trading, quant, portfolio-risk, derivatives and finance-education app developers, option-pricing and Greeks dashboards, and risk engines. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 endpoints. This is the European Black-Scholes model; for American-style early exercise or implied volatility solving it returns the closed-form European result only.
api.oanor.com/blackscholes-api
API health
healthy- Uptime
- 100.00%
- Server probes · 24h
- Avg latency
- 81 ms
- Server probes · 24h
- Subscribers
- 3,807
- active
- Total calls
- 60
- last 7 days
Pricing
Pick a tier — billed monthly, cancel anytime.
Free
Free
- 2,500 calls / month
- 2 requests / second
- Hard cap (429 above quota, no overage)
- 2,500 calls/month
- 2 req/sec
- Call/put price + d1/d2
- No credit card
Starter
€12.00 /month
- 25,000 calls / month
- 6 requests / second
- Hard cap (429 above quota, no overage)
- 25,000 calls/month
- 6 req/sec
- Full Greeks: delta/gamma/vega/theta/rho
- Email support
Pro
€35.00 /month
- 130,000 calls / month
- 15 requests / second
- Hard cap (429 above quota, no overage)
- 130,000 calls/month
- 15 req/sec
- Trading & risk-engine pipelines
- Priority support
Mega
€110.00 /month
- 850,000 calls / month
- 40 requests / second
- Hard cap (429 above quota, no overage)
- 850,000 calls/month
- 40 req/sec
- Desk & platform scale
- Dedicated SLA
Built by
Related APIs
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Options Pricing API
Black-Scholes option-pricing maths as an API, computed locally and deterministically. The black-scholes endpoint prices European call and put options from the spot price, strike, time to expiry, risk-free rate, volatility and an optional dividend yield — Call = S·e^(−qT)·Φ(d1) − K·e^(−rT)·Φ(d2) — returning both prices, the intermediate d1 and d2, and the put-call parity figure. The greeks endpoint computes the full set of option sensitivities for the call and the put: delta, gamma, theta (per year and per day), vega and rho, the quantities traders use to hedge and manage risk. The implied-volatility endpoint inverts the model, solving by bisection for the volatility that reproduces a given option market price. Rates, volatilities and dividend yields are decimals (0.05 = 5 %) and time to expiry is in years. Everything is computed locally and deterministically, so it is instant and private. Ideal for fintech, trading, quantitative-finance and derivatives app developers, options analytics and risk tools, and finance education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is options pricing; for NPV and IRR use an NPV API and for CAGR and real returns an investment API.
api.oanor.com/options-api
Deribit API
Live market data from Deribit — the leading crypto options and futures exchange. A keyless, no-account JSON wrapper over Deribit's public v2 API. Read the spot index price for any settlement currency (BTC, ETH, USDC, USDT), pull a full ticker for any instrument — last / mark / index price, best bid-ask, open interest and 8-hour funding for perpetuals, plus mark implied volatility and the greeks (delta, gamma, vega, theta, rho) for options — list the entire active instruments catalog by currency and kind (future, option, spot, combos) with strikes, expiries and contract sizes, and fetch per-currency order-book summaries across all live instruments. The raw exchange feed for derivatives desks, options dashboards, volatility models and trading bots — distinct from analytics products: this is Deribit's own ticker, instrument and book data, decoded into clean JSON.
api.oanor.com/deribit-api
Paradex Perps & Options DEX API
Live market data for Paradex, the Starknet-appchain perpetuals and options DEX, with no key. List every instrument (perpetual futures, dated options and spot) with full contract specs; pull a per-market summary with mark price, 24h volume, open interest, funding rate and — for options — implied volatility and full greeks (delta, gamma, vega, theta); read the live order book; and stream recent public trades. Paradex is one of the few venues exposing on-chain options greeks over a keyless feed — ideal for derivatives dashboards and options analytics.
api.oanor.com/paradex-api
Variance Risk Premium API
How much more volatility the options market is pricing in than the market has actually delivered — the carry that every short-volatility strategy harvests — computed live from Yahoo Finance, no key, nothing stored. Implied volatility (the VIX and its cousins) is almost always richer than the volatility that subsequently shows up: investors pay up for protection, and that gap, the variance risk premium, is one of the most persistent paid-for risks in markets. This API measures it directly across the major asset classes that publish an implied-vol index: for the S&P 500 (VIX), the Nasdaq 100 (VXN), crude oil (OVX) and gold (GVZ), it takes the live implied-vol index and subtracts the realised volatility actually delivered by the underlying over the matching ~30-day window (annualised standard deviation of daily log returns), and returns the premium in volatility points, the implied/realised ratio and a rich/cheap read. A large positive VRP means options are expensive relative to what the market has been doing (sellers are well paid); a negative VRP — implied below realised — is rare and flags that options are cheap, often during or right after a stress event. The premium endpoint returns all four markets ranked; the asset endpoint returns one market with 21- and 30-day realised legs; the history endpoint returns the VRP time series. This is the implied-minus-realised / variance-risk-premium cut for equities and commodities — distinct from the implied-vol level board (no realised leg), the realised-volatility dashboard (no implied leg) and the crypto-only DVOL/VRP API.
api.oanor.com/vrp-api
Frequently asked questions
Quick answers about pricing, quotas, and integration.
How do I get an API key for Black-Scholes Options API?
Sign up for free at oanor.com, generate an API key from the developer dashboard, and call Black-Scholes Options API with the x-oanor-key header. No credit card needed for the free tier.
What's the rate limit for Black-Scholes Options API?
Free tier allows 1 request per second. Paid plans scale up to 50 requests per second on the Mega tier. Hard limits return HTTP 429 above the quota — no surprise overage charges.
How much does Black-Scholes Options API cost?
Black-Scholes Options API has a free tier with 100 calls / month. Paid plans start at €12.00 / month with higher quotas and faster rate limits.
Can I cancel my subscription anytime?
Yes. Plans are billed monthly and you can cancel anytime from your billing dashboard. No long-term contracts and no cancellation fee.
Is Black-Scholes Options API GDPR-compliant?
All requests to Black-Scholes Options API go through our EU-based gateway. Your upstream API key never leaves our server and no personal data is shared with the upstream provider beyond the request you send.
Pick an endpoint from the list on the left to see its details and try it.
Code snippets
Sign up to get an API key, then call any path under your slug.
curl https://api.oanor.com/blackscholes-api/SOME_PATH \
-H "x-oanor-key: oanor_test_..."const res = await fetch("https://api.oanor.com/blackscholes-api/SOME_PATH", {
headers: { "x-oanor-key": "oanor_test_..." }
});
const data = await res.json();$ch = curl_init("https://api.oanor.com/blackscholes-api/SOME_PATH");
curl_setopt($ch, CURLOPT_RETURNTRANSFER, true);
curl_setopt($ch, CURLOPT_HTTPHEADER, ["x-oanor-key: oanor_test_..."]);
$response = curl_exec($ch);import requests
r = requests.get(
"https://api.oanor.com/blackscholes-api/SOME_PATH",
headers={"x-oanor-key": "oanor_test_..."},
)
print(r.json())Ratings
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