Options Greeks Calculator
Calculate Delta, Gamma, Theta, Vega, and Rho for options positions.
What is this tool?
The Greeks are risk measures that quantify how an option's price responds to changes in various factors. Delta measures sensitivity to underlying price movements. Gamma measures the rate of change of Delta. Theta represents time decay — how much value an option loses each day. Vega measures sensitivity to volatility changes. Rho captures interest rate sensitivity. Professional traders monitor all Greeks simultaneously to manage portfolio risk.
How to use
- 1
Enter option parameters
Input underlying price, strike, expiry, volatility, and risk-free rate.
- 2
Calculate Greeks
Click calculate to see all five Greeks for both call and put options.
- 3
Analyze risk
Interpret each Greek to understand your position's risk profile.
- 4
Compare scenarios
Adjust parameters to see how Greeks change under different conditions.
Frequently Asked Questions
What are the options Greeks?
The Greeks (Delta, Gamma, Theta, Vega, Rho) are derivatives of the option pricing formula. They measure how sensitive your option position is to: price changes (Delta), acceleration of price changes (Gamma), time passage (Theta), volatility shifts (Vega), and interest rate moves (Rho). Together they form a complete risk profile.
How does Delta help with hedging?
Delta tells you how many shares of the underlying you need to buy or sell to hedge your option position. A Delta-hedged portfolio (delta-neutral) should not change value from small moves in the underlying. Professional market makers use delta hedging to create risk-free positions.
Why is Theta called time decay?
Theta measures the daily loss in option value due to the passage of time. As expiration approaches, the probability of a profitable outcome becomes more certain, reducing time value. Theta accelerates in the final 30 days before expiration. Option sellers profit from positive theta; buyers lose to it.