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Black–Scholes option Greeks & gamma exposure (GEX) estimator

Dealer Gamma Exposure (GEX) measures how much underlying notional market makers must buy or sell to stay delta-neutral when spot moves by 1%. Positive net GEX dampens realised volatility as dealers buy dips and sell rallies; negative net GEX amplifies directional moves.

Net dealer GEX (per 1% spot move)

733,788,236.73

Positive gamma (volatility dampening)

Call GEX / Put GEX
2,088,474,212.23 / -1,354,685,975.50
Unit Gamma
0.00336
Call price / Delta
48.70 (Δ 0.513)
Put price / Delta
46.07 (Δ -0.487)
Spot levelGammaNet GEX ($ / 1% move)
5684.0 (-2.0%)0.00217456,432,647.26
5742.0 (-1.0%)0.00305654,347,481.27
5771.0 (-0.5%)0.00330714,204,899.97
5800.0 (+0.0%)0.00336733,788,236.73
5829.0 (+0.5%)0.00322710,303,471.22
5858.0 (+1.0%)0.00291648,376,141.97
5916.0 (+2.0%)0.00200454,597,209.06

Formula

Gamma = e^(−qT) φ(d₁) ÷ (S × σ × √T)

Call GEX ($ per 1% move) = +Gamma × OI_call × Multiplier × S² × 0.01

Put GEX ($ per 1% move) = −Gamma × OI_put × Multiplier × S² × 0.01

How to use it

Enter spot, strike, days to expiry, implied volatility, risk-free rate, dividend yield and the call and put open interest at that strike.

View single-contract Black–Scholes Greeks alongside aggregate dealer Call GEX, Put GEX and Net GEX across a spot ladder.

Assumptions and limits

  • Follows the standard street convention that dealers are net long calls (positive gamma) and net short puts (negative gamma).
  • Uses constant Black–Scholes implied volatility across the local spot ladder.

Common questions

What does negative net GEX indicate?

When put open interest dominates and dealers are short puts, a drop in spot makes dealers shorter delta, forcing them to sell more underlying into weakness and accelerating intraday trend moves.

Why is GEX scaled by S² × 0.01?

Gamma measures share delta change per $1 move in spot. Multiplying by S gives share delta per 100% move, multiplying by 0.01 scales to a 1% move, and multiplying by S again converts shares into dollar notional.

For education only, not investment advice. Results depend entirely on the inputs and assumptions above; check important numbers independently.

Black–Scholes option Greeks & gamma exposure (GEX) estimator | VolSurface Desk