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Discord

Try the analytics engine that powers Gateway -- free, no install, just a Discord invite. Run any of eight slash commands on any OPRA-listed ticker and the bot returns a chart or table generated by the same Greeks engine you'd run locally with Gateway.

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Free vs Pro

Tier Cost Daily limit
Free included in the server 25 commands per day
Pro $25 / month unlimited

No credit card for the free tier. Upgrade from inside the server when you want more.

Quick reference

Eight commands grouped by what they show. Click any to jump to its details.

  •   /greeks

    Vols and Greeks for a single option contract.

  •   /rates

    Risk-free rate, implied borrow, cumulative dividends per expiry.

  •   /skew

    Volatility skew across strikes for a chosen expiry.

  •   /term

    Term structure of vol -- vol vs tenor at a chosen delta.

  •   /surf

    Full 3D vol surface across strike × expiry.

  •   /grid

    Any metric across multiple deltas and multiple expiries.

  •   /volcomp

    Two underlyings overlaid -- ETF vs index, sister mega-caps.

  •   /bscomp

    Lavender's binomial Greeks vs the Black-Scholes equivalent.

Interactive buttons

Every response carries a row of navigation buttons below the chart -- jump to a different expiry, flip between calls and puts, or pivot to the related skew / term / surface view without retyping the command.

Single contract

A single option, fully resolved -- the smallest unit the bot serves.

/greeks

Vols and Greeks for one option contract, with a one-line summary above the table.

Parameter Required Description
ticker ✓ Underlying symbol (e.g. TSLA, SPY).
expiry 14d, 30d, or YYYY-MM-DD. Defaults to the front month.
strike Strike price. Defaults to the at-the-forward strike.
putcall Call or Put. Defaults to call.
help Show field definitions instead of live values. 
/greeks ticker:TSLA

Returns: a text embed titled {TICKER} {STRIKE}{C|P} • {Mon DD YYYY} • {N}d. The body is a compact 3×6 monospaced table. Top half shows vol context: spot, the contract's IV change since T-1, the ATM vol change since T-1; the 25Δ-call / 50Δ-ATM / 25Δ-put smile; bid/mid/ask IVs. Bottom half shows the Greeks: delta, gamma, theta, decay, vega, rho, vanna, volga, charm. Pass help:true to get a glossary embed instead of live values.

/greeks side-by-side: JNJ and TSLA front-month ATF calls — same table, very different vol context

/rates

Risk-free rate, implied borrow cost, and cumulative dividends to each listed expiration -- the calibrated carry inputs feeding every other command.

Parameter Required Description
ticker ✓ Underlying symbol. 
/rates ticker:META

Returns: a text-table embed titled {TICKER} • Rates • Funding & Carry, one row per listed expiration with seven columns: Expiry Date, Days→Expiry, Risk Free rate, Implied Borrow, Annual Carry, Sum of Divs, Fwd Price. Multi-root tickers (SPX+SPXW, NDX+NDXW, etc.) get an extra Root column so each root's per-expiry funding shows separately.

Volatility shapes

Three projections of the same vol surface. Each anchors to a different axis: skew slices it across strikes at one expiry, term slices across expiries at one delta, surf shows everything at once.

/skew

The volatility curve across strikes for a chosen expiry -- the classic skew chart.

Parameter Required Description
ticker ✓ Underlying symbol.
expiry 14d, 30d, or YYYY-MM-DD. 
/skew ticker:SPX

Returns: vol on the y-axis, call delta on the x-axis, market quotes overlaid on Lavender's fitted curve.

/skew ticker:SPX — classic index put skew at the front month

/term

Term structure of implied volatility -- vol on the y-axis, days-to-expiry on the x-axis -- with an optional highlight at a specific delta.

Parameter Required Description
ticker ✓ Underlying symbol.
delta Highlight a specific delta on the curve (e.g. 25, -25). 
/term ticker:NVDA

Returns: an ATM term curve with optional auxiliary curves at the requested delta, useful for spotting calendar-spread opportunities or earnings-driven kinks.

/term ticker:NVDA — front-month earnings spike clearly visible

/surf

The full 3D implied-volatility surface (strike × expiry) for an underlying, rendered with proper perspective and contour shading.

Parameter Required Description
ticker ✓ Underlying symbol.
expiry Highlight one expiry on the surface. 
/surf ticker:NDX

Returns: a 3D wireframe / surface plot. Highlights any requested expiry as an emphasized contour. This is usually the first command worth showing a colleague.

/surf ticker:NDX — full strike × expiry surface with contour shading

Multi-axis

/grid

Tabular comparison of any single metric across a chosen list of deltas and expiries. Lets you scan vega across the term structure for several wings at once, or watch where gamma concentration shifts as the front month rolls forward.

Parameter Required Description
ticker ✓ Underlying symbol.
metric iv (default), delta, gamma, theta, vega, vanna, volga, rho.
expiries Comma-separated list (e.g. 14d,21d,2026-12-19).
deltas Comma-separated list (e.g. 25,50,-50,-25). 
/grid ticker:AAPL metric:gamma deltas:25,50,-25

Returns: a code-fenced monospaced table titled {TICKER} • {Metric} Grid -- rows are expiries, columns are deltas. When unspecified, expiries defaults to every listed expiry and deltas defaults to 50,-50 (just the ATM call/put per row). Each cell shows the chosen metric for the option closest to that call-delta at that expiry. Plain text, no color shading.

/grid ticker:AAPL metric:gamma — gamma falling across both delta and tenor

Comparisons

Difference views. The chart plots one curve minus another, so the y-axis is the gap itself -- where it's near zero the two views agree, where it spikes the assumptions matter. Easier to read than overlaid curves once divergences get small.

/volcomp

The vol-curve difference between two underlyings. Useful for ETF vs underlying index, sister mega-caps, or sector vs leader -- whatever pair you want to track for relative-vol drift.

Parameter Required Description
ticker ✓ First underlying.
other ✓ Second underlying.
chart term, skew, or surf. Defaults to surf.
expiry Used by skew / surf.
delta Used by term. 
/volcomp ticker:QQQ other:SPY chart:term

Returns: a single curve of ticker − other on the chosen chart axis. Positive where the first underlying's vol is higher; negative where it's lower. An Invert button on the response flips A and B so you don't need to re-run the command to flip the sign convention.

/volcomp ticker:QQQ other:SPY chart:term — small but real ETF vs ETF divergence at 50Δ

/bscomp

The difference between Lavender's binomial Greek and its Black-Scholes equivalent on the chosen chart -- the fastest way to see where simplified assumptions cost you. The gap typically widens near ex-dates, on deep ITM contracts, and in hard-to-borrow names.

Parameter Required Description
ticker ✓ Underlying symbol.
chart term, skew, or surf. Defaults to surf.
metric delta (default), gamma, vega, theta, rho.
expiry Used by skew / surf.
delta Used by term. 
/bscomp ticker:AAPL chart:term metric:delta

Returns: a single curve of binomial − Black-Scholes for the chosen metric. Where it stays near zero the two models agree; where it spikes (typically around ex-dates and in deep ITM territory) is where the binomial path matters and the simplified model is wrong.

Once you've outgrown the bot

Discord is for ad-hoc lookups. When you need Greeks programmatically -- backtesting, live hedging, building tools on top of an options-analytics engine -- run Gateway. Same engine, same math, REST instead of slash commands, no daily limit.