Institutional-Grade Options Analytics API. Without the Institutional Friction.

Your Greeks are only as good
as your model.

Lavender Gateway delivers dividend-aware, early-exercise-aware Greeks with calibrated forward prices, ticking continuously across ~6,000 OPRA names. Run it as your primary Greeks engine — or alongside your existing provider for an independent second view. Same wire format as nine common vendors. One line to switch.

Stripe checkout to live Greeks in minutes
Gateway $300 / instance / month  ·  up to 3 users  ·  month-to-month
Runs on Windows, macOS, and Linux

The Problem

These modeling gaps
cost real money.

If your Greeks don't account for these effects, your hedges are off — and you're taking risk you can't see.

01

Wrong dividends, wrong delta

Continuous dividend yield is a convenient fiction. Near ex-dates, it produces hedge ratios that are materially wrong — and you don't find out until your P&L tells you.

02

Ignoring early exercise

Pricing American options with European models understates the value of deep ITM calls near ex-dividend dates. Your delta says one thing. The market says another.

03

Broken forward prices

Without proper borrow rate calibration, forward prices are inconsistent and put-call parity breaks down. Greeks computed from the wrong forward are wrong from the start.

04

Time decay that misleads

Instantaneous theta is a mathematical abstraction. It doesn't tell you what your position will actually lose by this time tomorrow — especially over weekends and holidays.


The Solution

Fix these gaps today.
One line of code.

Dividend-Aware, Early Exercise-Aware
Discrete dividends, early exercise handling, and implied borrow rates calibrated per expiry for stable forward prices and put-call parity.
Trader-Intuitive Time Decay
Decay measures what your position actually loses by the same time next trading day — weekends and holidays included. Theta gives the smooth per-day rate. Both are computed; you choose which fits your workflow.
Extended Greeks Through Third Order
Vanna, charm, volga, speed, color, ultima, and more. Computed robustly across the full chain — not just ATM.
Nine Vendor-Compatible APIs
Vendor-compatible endpoints for Alpaca, AlphaVantage, Intrinio, LiveVol, MarketData.app, Orats, Polygon.io, ThetaData, and Tradier. Change the host — your existing code works unchanged.
Full OPRA — Ticking Continuously
Implied volatility and Greeks computed and refreshed continuously across ~6,000 underlying names — the full OPRA universe. Delivered via REST, built for production trading.
greeks_response.json
// SPY Dec 2026 570 Call

"osym": "SPY 261218C00570000",
"und_price": 567.41,
"lav_vol": 0.1847,
"lav_theo": 22.14,

core greeks "delta": 0.4823,
"gamma": 0.0341,
"vega": 0.2187,
"theta": -0.0892,
"decay": -0.0631,
"rho": 0.1204,

second order "vanna": 0.4221,
"charm": -2.1382,
"volga": 5.9757,

third order "speed": 0.0003,
"zomma": -0.0750,
"color": -3.0092,
"ultima": -58.6674

Methodology

No black box.
Reproducible from first principles.

Every Greek Lavender publishes can be replicated independently. The math is documented, the inputs are exposed on every API response, and a published reference implementation matches our European Greeks to within 0.01%.

European Options

Black-76 closed form

European-style options (SPX, NDX, RUT) are priced with the Black-76 formula on the calibrated forward. Reference implementations in Python, R, and Excel match our published Greeks to within 0.01% on price, delta, gamma, vega, theta, and rho.

American Options

Cox-Ross-Rubinstein binomial tree

American-style options are priced with a CRR tree that checks early-exercise optimality at every node. This produces correct Greeks for deep ITM puts, calls near ex-dividend dates, and other regimes where European closed-form models systematically diverge.

Forward & Borrow

Calibrated per expiry from put-call parity

The forward price for each expiry is calibrated directly from live option markets — not derived from a theoretical S·e^(r-q)T. The implied borrow rate is solved per tenor to enforce put-call parity, producing consistent call and put Greeks even in hard-to-borrow names.

Time Conventions

Variance time and calendar time, separated

Two time fields per expiry: t (variance-weighted, excludes overnight, weekends, and holidays — used wherever σ√T appears) and t_disc (calendar time, used for discounting). This is why short-dated options across long weekends price correctly.

Walk through the math step-by-step, build the reference implementation in your language, and verify Lavender against your own code. Every input field is documented; every formula is published.
Verify the Greeks

Vendor Compatibility

Already integrated.
Zero migration work.

Lavender speaks your vendor's wire format. Change the host in your existing code — everything else stays the same.

Alpaca
AlphaVantage
Intrinio
LiveVol
MarketData.app
Orats
Polygon.io
ThetaData
Tradier

Nine compatibility layers. If you're already using any of these, you're already integrated with Lavender.


Why It's Different

What makes this
worth running alongside.

Whether Lavender is your primary Greeks engine or running alongside another provider, these are the things that matter most.

Confidence

Compare risk side-by-side

Run Lavender alongside your existing provider. Where the two agree, you trade with confidence. Where they diverge — near ex-dates, deep ITM, illiquid strikes — you have a signal worth investigating.

Depth

See how your Greeks change

Vanna tells you how delta moves with vol. Charm tells you how it decays through time. Speed, color, volga, ultima — the second and third-order sensitivities that separate precise hedging from guessing.

Speed

Running in minutes, not weeks

Nine vendor-compatible endpoints mean zero integration work for most users. No new parsers, no schema mapping, no migration project. Change one URL and your existing code pulls Greeks from Lavender.


Who It's For

Built for serious practitioners.

Lavender is for people whose P&L depends on the accuracy of their Greeks — and who know that one source isn't enough.

Not designed for: signal-following or paper trading
Quantitative & systematic options traders
Running strategies where modeling differences translate directly to P&L — and where a second independent source is a risk management tool, not a luxury.
Developers building trading systems
Integrating options analytics into proprietary platforms, backtesting frameworks, or execution systems. Nine vendor-compatible endpoints mean you're likely already integrated.
Volatility researchers & hedge fund analysts
Comparing Greeks across models, validating positions with an independent source, and analyzing how risk sensitivities diverge near ex-dates, deep ITM, or in illiquid strikes.
Solo traders and small shops needing a primary Greeks source
Building from scratch or moving from another provider? Lavender works as your primary Greeks engine — institutional-grade math, month-to-month pricing, and setup measured in minutes.

Get Started

One price. No complexity.
Full infrastructure.

Month-to-month. Most users are running Greeks within minutes.

Gateway — Standard
$300 / instance / month
Up to 3 users per instance  ·  Month-to-month, cancel any time  ·  Runs on Windows, macOS & Linux
Dividend-aware, early-exercise-aware Greeks across ~6,000 OPRA names
Extended Greeks through third order — vanna, charm, volga, speed, color, and more
Nine vendor-compatible API endpoints — swap the host and your existing code works unchanged
Calibrated forward prices and borrow rates per expiry — put-call parity enforced
Trader-intuitive time decay — decay to next trading day (weekends and holidays included), plus standard theta
Not ready to commit?

See the analytics engine in action — free.

Join Lavender Discord and run /surf, /skew, /term, or /greeks on any ticker. Get an instant professional-grade volatility chart — the same engine that powers Gateway. 25 commands free per day. No credit card required.

Join Lavender Discord — Free

25 commands/day free  ·  Upgrade to Pro for unlimited — $25/month

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