Options Pricing & Greeks Calculator

Calculate theoretical options pricing and the "Greeks" (Delta, Gamma, Theta, Vega) using the standard Black-Scholes pricing model. Essential for understanding Gamma Exposure (GEX).

Calculated Pricing

Call Option Price$0.00
Put Option Price$0.00

The Greeks

Delta (Call / Put)
+0.00000.0000
Gamma0.0000
Theta (Time Decay) (Call / Put)
0.00000.0000
Vega0.0000
Rho (Call / Put)
0.00000.0000

Understanding the Black-Scholes Model & Gamma Exposure (GEX)

The Black-Scholes-Merton model revolutionized modern finance by providing a mathematical framework for pricing options contracts. While primarily used for equities and index options, understanding the "Greeks" derived from this model is critical for institutional and prop firm traders who analyze Gamma Exposure (GEX) to predict market maker hedging flows.

What is Gamma Exposure (GEX)?

Gamma Exposure (GEX) is an advanced metric that aggregates the gamma of all open options contracts at various strike prices. Because market makers (dealers) must dynamically hedge their options books, their hedging activity can either suppress volatility (positive gamma environments) or exacerbate volatility (negative gamma environments).

  • Positive GEX: Dealers buy when the market dips and sell when it rallies, acting as a buffer that reduces volatility. Markets tend to grind slowly upward or chop sideways.
  • Negative GEX: Dealers sell when the market drops and buy when it rises, accelerating the move. This leads to high volatility, massive intraday swings, and deep corrections.

Decoding The Greeks

Delta (Δ)

Measures the rate of change of the option price with respect to changes in the underlying asset's price. A Delta of 0.50 means the option price moves $0.50 for every $1.00 move in the underlying.

Gamma (Γ)

Measures the rate of change of Delta. It is the acceleration of the option's sensitivity. High gamma means the delta changes rapidly, which forces dealers to adjust their hedges aggressively.

Theta (Θ)

Measures time decay. It represents how much value the option loses each day as it approaches expiration. Options buyers fight against Theta, while options sellers profit from it.

Vega (ν)

Measures sensitivity to implied volatility. A Vega of 0.10 means the option price will increase by $0.10 for every 1% increase in implied volatility.