Option Greeks
API · /blackscholes-api
Black-Scholes Options API
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 salute
salutare- Tempo di attività
- 100.00%
- Sondaggi del server · 24 ore su 24
- Latenza media
- 89 ms
- Sondaggi del server · 24 ore su 24
- Abbonati
- 3,807
- attiva
- Chiamate totali
- 21
- ultimi 7 giorni
Prezzi
Scegli un livello: fatturazione mensile, annullamento in qualsiasi momento.
Free
Gratis
- 2,500 chiamate/mese
- 2 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 2,500 calls/month
- 2 req/sec
- Call/put price + d1/d2
- No credit card
Starter
€12.00 /mese
- 25,000 chiamate/mese
- 6 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 25,000 calls/month
- 6 req/sec
- Full Greeks: delta/gamma/vega/theta/rho
- Email support
Pro
€35.00 /mese
- 130,000 chiamate/mese
- 15 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 130,000 llamadas/mes
- 15 req/seg
- Tuberías de trading y motor de riesgo
- Soporte prioritario
Mega
€110.00 /mese
- 850,000 chiamate/mese
- 40 richieste/secondo
- Tetto rigido (429 sopra la quota, nessuna eccedenza)
- 850,000 calls/month
- 40 req/sec
- Desk & platform scale
- Dedicated SLA
Costruito da
Correlato APIs
Altro APIs con tag sovrapposti.
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
Winch Drum API
Winch and cable-drum maths as an API, computed locally and deterministically — the rope-capacity, line-pull and rope-out numbers a winch operator, rigger or recovery driver works a drum with. The capacity endpoint gives the rope a drum holds by exact layer geometry: the sum over every full layer of the turns per layer × π × that layer's mean wrap diameter, where turns per layer = drum width ÷ rope diameter and the number of layers = the flange-to-barrel depth ÷ rope diameter — a 10-inch barrel, 20-inch flange, 12-inch-wide drum on half-inch rope holds about 940 ft over 10 layers. The layer-pull endpoint shows why pull falls as the drum fills: the rated pull is for the bare-drum first layer, and as rope piles on, the growing lever arm cuts the line pull and raises the line speed in the same ratio — pull × (first-layer diameter ÷ this layer's diameter) — so the top layer of a deep drum can pull barely half the bottom-layer rating, which is why you spool off to bare drum for a hard pull or add a snatch block. The length-at-layer endpoint gives the rope wound after a number of full layers, for marking the rope or knowing how much line is out. Everything is computed locally and deterministically, so it is instant and private. Ideal for winch- and hoist-sizing tools, recovery and off-road apps, marine and industrial-rigging utilities, and engineering calculators. Pure local computation — no key, no third-party service, instant. Geometric estimate — allow for nesting and freeboard. 3 compute endpoints. For capstan friction use a capstan API; for block-and-tackle a pulley API.
api.oanor.com/winch-api
Mobile Crane Lift API
Mobile-Crane-Lift-Planungsmathematik als API, lokal und deterministisch berechnet – die Lastmoment-, Kippkapazitäts- und Abstützplattenzahlen, die ein Kranführer, Liftplaner oder Rigging-Ingenieur bei einem Hub überprüft. Der Lastmoment-Endpunkt gibt die Last × ihren Arbeitsradius (den horizontalen Abstand vom Drehzentrum zum Haken), die einzelne Zahl, die der Tragfähigkeitsbegrenzer eines Krans überwacht: Eine 5-Tonnen-Last bei 8 m ergibt ein Moment von 40 Tonnenmetern, dasselbe wie 10 Tonnen bei 4 m, weshalb die Diagrammkapazität steil abfällt, wenn der Ausleger ausfährt – das Moment, nicht das Gewicht, kippt den Kran. Der Kapazitätsendpunkt gibt eine vereinfachte Kippbilanz um den Drehpunkt: Die Last, die gerade kippt = Gegengewicht × sein Radius ÷ Lastradius, und die zulässige sichere Last ist ein Stabilitätsbruchteil davon (~75 % auf Abstützungen, ~66 % auf Raupen gemäß den Normen) – eine Lehr-/Plausibilitätszahl, die den Ausleger und das Überbaugerät ignoriert, niemals ein Ersatz für das Lastdiagramm. Der Abstützplattenendpunkt dimensioniert die Tellerplatte: Erforderliche Plattenfläche = Abstützbeinlast ÷ zulässiger Bodendruck (und die Seite einer quadratischen Matte), da Überlastung von schwachem Boden eine Hauptursache für Umkippen ist – ein 30-Tonnen-Bein auf 200 kPa benötigt etwa eine 1,2 m quadratische Matte. Alles wird lokal und deterministisch berechnet, daher ist es sofort und privat. Ideal für Liftplanungs- und Rigging-Tools, Bau- und Kranbetriebs-Apps sowie Baustellensicherheitsdienstprogramme. Reine lokale Berechnung – kein Key, kein Drittanbieterdienst, sofort. Vereinfacht – verwenden Sie immer das Lastdiagramm des Herstellers. 3 Compute-Endpunkte. Verwenden Sie für Anschlag- und WLL-Lasten eine Rigging-API.
api.oanor.com/crane-api
Elevator Traction API
Traction-elevator engineering maths as an API, computed locally and deterministically — the counterweight, hoist-motor and rope-traction numbers a lift engineer or building-services designer sizes a passenger elevator with. The counterweight endpoint gives the balancing mass = the empty car plus a fraction of the rated load (the overbalance, typically 40–50 %, 45 % common), so a 1,000 kg car rated for 1,000 kg uses a 1,450 kg counterweight — the car and weight balance near half load and the machine is sized for the worst-case imbalance, not the full load. The motor-power endpoint uses that: because the counterweight cancels most of the car, the motor only lifts the out-of-balance load = rated load × (1 − overbalance), so power = that × g × speed ÷ efficiency (~65–75 % geared) — a 1,000 kg lift at 1.5 m/s needs only about 11–12 kW, half what a counterweight-less hoist would draw. The traction-ratio endpoint checks the friction grip: a traction elevator moves the ropes by friction over the sheave, so the available traction (e^(μθ), the capstan equation) must beat the T1/T2 tension ratio at both worst cases — a full car at the bottom and an empty car at the top — and it returns the governing ratio. Everything is computed locally and deterministically, so it is instant and private. Ideal for lift-design and building-services tools, vertical-transport and MEP utilities, and engineering calculators. Pure local computation — no key, no third-party service, instant. Sizing estimates — follow the lift code and maker data. 3 compute endpoints. For block-and-tackle use a pulley API; for capstan friction a capstan API.
api.oanor.com/elevator-api
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Frammenti di codice
Iscriviti per ottenere una chiave API, quindi chiama qualsiasi percorso sotto il tuo 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())
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