Options Greeks Calculator.
Understand Your Risk, Precisely.
Calculate Delta, Gamma, Theta, Vega and Rho for any options position using Black-Scholes.
Options Parameters
Enter option details to calculate Greeks
Greeks Analysis
Option sensitivity metrics
Enter option parameters to calculate Greeks
Understanding Options Greeks
Options Greeks measure how sensitive an option's price is to various factors. The calculator above uses the Black-Scholes model to compute all Greeks from your inputs.
Delta (Δ)
Calls: 0 to 1 / Puts: −1 to 0How much the option price moves for each $1 change in the underlying. An ATM call has Delta ≈ 0.5. Delta also approximates the probability the option expires in-the-money.
Gamma (Γ)
Always positiveRate of change of Delta for each $1 move. High near ATM and near expiry. A Gamma of 0.05 means Delta changes by 0.05 for every $1 move in the stock.
Theta (Θ)
Negative for buyersDaily time decay in dollars. An ATM option with Theta = −$5 loses $5 of value per day. Theta accelerates in the last 30 days. Option sellers collect Theta; buyers pay it.
Vega (ν)
Positive for long optionsChange in option price per 1% change in implied volatility (IV). A Vega of $10 means the option gains $10 if IV rises 1%. Longest-dated options have the highest Vega.
Rho (ρ)
Positive for calls, negative for putsSensitivity to interest rate changes. A Rho of 0.05 means the option gains $0.05 for a 1% rise in risk-free rates. Less important for short-dated options.
Option Time Value
Extrinsic valueOptions time value = Option Price − Intrinsic Value. An OTM option is 100% time value; it decays to zero at expiry. Time value is highest for ATM options with long duration.
Black-Scholes Calculator — How It Works
The Black-Scholes model (Black-Scholes-Merton) is the standard options pricing formula used worldwide. Our options Greeks calculator uses the Black-Scholes formula to compute option premium and all Greeks simultaneously.
Black-Scholes Call Price Formula
C = S·N(d₁) − K·e^(−rT)·N(d₂)d₁ = [ln(S/K) + (r + σ²/2)·T] / (σ√T)d₂ = d₁ − σ√TS = Stock price, K = Strike price, r = Risk-free rate, T = Time to expiry (years), σ = Implied volatility, N() = Cumulative normal distribution
Implied Volatility (IV)
The market's forecast of stock volatility. Derived by plugging the market option price back into Black-Scholes and solving for σ. High IV = expensive options.
Option Probability Calculator
Delta approximates the probability of expiring ITM. A 0.30 Delta call has roughly 30% chance of finishing in-the-money at expiration.
Frequently Asked Questions
What are options Greeks?▾
Options Greeks are measures of how sensitive an option's price is to various factors. The main Greeks are: Delta (sensitivity to underlying price), Gamma (rate of change of Delta), Theta (time decay per day), Vega (sensitivity to implied volatility), and Rho (sensitivity to interest rates). They help traders understand and manage options risk.
What does Delta mean in options trading?▾
Delta measures how much an option's price moves for every ₹1 (or $1) move in the underlying asset. A call option Delta of 0.6 means the option gains ₹0.60 for every ₹1 rise in the stock. Delta also approximates the probability that the option expires in-the-money. Call deltas range from 0 to 1; put deltas from -1 to 0.
How does Theta affect my options position?▾
Theta represents the daily time decay of an option's extrinsic value. A Theta of -5 means the option loses ₹5 in value each day, all else equal. Theta accelerates as expiry approaches — it is highest in the last 30 days. Option buyers are hurt by Theta; option sellers benefit from it. ATM options have the highest Theta.
What is Vega in options?▾
Vega measures how much an option's price changes for every 1% change in implied volatility (IV). A Vega of 10 means the option gains ₹10 for every 1% rise in IV. Long options have positive Vega (benefit from rising IV), short options have negative Vega. Vega is highest for ATM options with longer expiry.