# VolSurface Desk > VolSurface Desk delivers interactive Black-Scholes-Merton calculators, delta/gamma hedging estimators, futures basis calculators, and tail-risk VaR stress tools. - Canonical Domain: https://volsurfacedesk.com - Organization: VolSurface Desk - Full Corpus Digest: https://volsurfacedesk.com/llms-full.txt ## 0DTE Gamma & Volatility Surface - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): Dealer Delta/Gamma Hedging Equations & E-Mini S&P 500 Futures Impact (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-dealer-gamma-hedging-and-es-futures-impact): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing intraday futures rebalancing per 1% - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): Clearinghouse Margin Monte Carlo Scenarios & Intraday Call Triggers (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-clearing-margin-monte-carlo-stress-scenarios): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing 99% 2-day Expected Shortfall, 20-mi - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: Constant-Maturity Contango Roll Drag & Backwardation Flip Triggers (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-contango-roll-drag-and-term-structure-carry): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing daily VX1-to-VX2 roll math - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: 3:50 PM ET Market-on-Close (MOC) Imbalance & 4:00 PM Cash Settlement (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-350pm-moc-imbalance-and-cash-close-pinning): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing terminal Charm delta bleed - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: FOMC & CPI Event Volatility Crush & Forward Variance Decomposition (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-fomc-and-cpi-event-volatility-crush-math): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing extracting single-day - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: Correlation Spike Stress Audit & Institutional Dispersion Unwinds (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-dispersion-correlation-unwind-stress-audit): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing index variance vs. co - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): Partial Derivative Formulas, Scaling Units & Tenor Surface Grid ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-partial-derivative-formulas-and-surface-grid): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing exact Black-Scholes-Mer - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): 25-Delta Strike Skew, Put Wing Convexity & No-Arbitrage Bounds ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-strike-skew-convexity-and-butterfly-arbitrage): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing preventing vertical cal ## VIX Term Structure & Skew - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): Partial Derivative Formulas, Scaling Units & Tenor Surface Grid (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-partial-derivative-formulas-and-surface-grid): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing exact Black-Scholes-Merton analytic - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): 25-Delta Strike Skew, Put Wing Convexity & No-Arbitrage Bounds (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-strike-skew-convexity-and-butterfly-arbitrage): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing preventing vertical call-spread and - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: Dealer Delta/Gamma Hedging Equations & E-Mini S&P 500 Futures Impact (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-dealer-gamma-hedging-and-es-futures-impact): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing intraday futures rebalanci - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: Clearinghouse Margin Monte Carlo Scenarios & Intraday Call Triggers (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-clearing-margin-monte-carlo-stress-scenarios): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing 99% 2-day Expected Shortfa - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: Constant-Maturity Contango Roll Drag & Backwardation Flip Triggers (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-contango-roll-drag-and-term-structure-carry): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing daily VX1-to-VX2 roll - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: 3:50 PM ET Market-on-Close (MOC) Imbalance & 4:00 PM Cash Settlement (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-350pm-moc-imbalance-and-cash-close-pinning): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing terminal Charm delta - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): FOMC & CPI Event Volatility Crush & Forward Variance Decomposition ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-fomc-and-cpi-event-volatility-crush-math): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing extracting single-day e ## Second-Order Greeks & Hedging - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): FOMC & CPI Event Volatility Crush & Forward Variance Decomposition (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-fomc-and-cpi-event-volatility-crush-math): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing extracting single-day event varianc - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): Correlation Spike Stress Audit & Institutional Dispersion Unwinds (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-dispersion-correlation-unwind-stress-audit): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing index variance vs. constituent sing - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: Partial Derivative Formulas, Scaling Units & Tenor Surface Grid (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-partial-derivative-formulas-and-surface-grid): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing exact Black-Scholes-Merton - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: 25-Delta Strike Skew, Put Wing Convexity & No-Arbitrage Bounds (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-strike-skew-convexity-and-butterfly-arbitrage): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing preventing vertical call-s - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: Dealer Delta/Gamma Hedging Equations & E-Mini S&P 500 Futures Impact (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-dealer-gamma-hedging-and-es-futures-impact): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing intraday futures reba - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: Clearinghouse Margin Monte Carlo Scenarios & Intraday Call Triggers (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-clearing-margin-monte-carlo-stress-scenarios): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing 99% 2-day Expected Sh - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): Constant-Maturity Contango Roll Drag & Backwardation Flip Triggers ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-contango-roll-drag-and-term-structure-carry): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing daily VX1-to-VX2 roll m ## OCC Margin & Dispersion Desk - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): Constant-Maturity Contango Roll Drag & Backwardation Flip Triggers (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-contango-roll-drag-and-term-structure-carry): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing daily VX1-to-VX2 roll math ($1,000/ - [Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX): 3:50 PM ET Market-on-Close (MOC) Imbalance & 4:00 PM Cash Settlement (59.0% Share of SPX Options Volume Benchmark)](https://volsurfacedesk.com/desk-notes/spx-0dte-gex-350pm-moc-imbalance-and-cash-close-pinning): Cboe SPX 0DTE Options Volume (59% Share) & Dealer Gamma Exposure (GEX) (SPX-0DTE-GEX) stands at 59.0% (Share of SPX Options Volume) (Source: Cboe Global Markets, 2026-10-20), governing terminal Charm delta bleed and PM-s - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: FOMC & CPI Event Volatility Crush & Forward Variance Decomposition (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-fomc-and-cpi-event-volatility-crush-math): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing extracting single-day even - [Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging: Correlation Spike Stress Audit & Institutional Dispersion Unwinds (6.5 hrs Intraday Cash Decay Window Benchmark)](https://volsurfacedesk.com/desk-notes/vanna-charm-flows-dispersion-correlation-unwind-stress-audit): Vanna (dDelta/dVol) & Charm (dDelta/dTime) Second-Order Dealer Hedging (VANNA-CHARM-FLOWS) stands at 6.5 hrs (Intraday Cash Decay Window) (Source: Cboe Options Institute, 2026-10-20), governing index variance vs. constit - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: Partial Derivative Formulas, Scaling Units & Tenor Surface Grid (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-partial-derivative-formulas-and-surface-grid): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing exact Black-Scholes-M - [OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On: 25-Delta Strike Skew, Put Wing Convexity & No-Arbitrage Bounds (20 min Intraday Monte Carlo Interval Benchmark)](https://volsurfacedesk.com/desk-notes/occ-stans-margin-strike-skew-convexity-and-butterfly-arbitrage): OCC STANS 20-Minute Intraday Risk Snapshots & 0DTE Margin Add-On (OCC-STANS-MARGIN) stands at 20 min (Intraday Monte Carlo Interval) (Source: The Options Clearing Corporation, 2026-10-20), governing preventing vertical c - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): Dealer Delta/Gamma Hedging Equations & E-Mini S&P 500 Futures Impact ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-dealer-gamma-hedging-and-es-futures-impact): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing intraday futures rebala - [Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation): Clearinghouse Margin Monte Carlo Scenarios & Intraday Call Triggers ($1,000 Standard VX Point Multiplier Benchmark)](https://volsurfacedesk.com/desk-notes/vix-vx1-vx2-roll-clearing-margin-monte-carlo-stress-scenarios): Cboe VIX Futures Term Structure (VX1/VX2 Contango vs. Backwardation) (VIX-VX1-VX2-ROLL) stands at $1,000 (Standard VX Point Multiplier) (Source: Cboe Futures Exchange (CFE), 2026-10-20), governing 99% 2-day Expected Shor