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Options & Derivatives Tool

Black-Scholes Option Calculator

Calculate theoretical Call and Put option premiums along with Option Greeks (Delta, Gamma, Vega, Theta, Rho).

Inputs & Parameters

Options & Derivatives

Current market price of the underlying asset

₹

Exercise price of the option contract

₹

Remaining days until contract expiration

Days

Annualized expected volatility of the stock price

%

Risk-free rate (e.g. government bond yield)

%

Continuous dividend yield of the underlying

%
Call Option (CE)

Theoretical Premium

₹103.18

Put Option (PE)

Theoretical Premium

₹201.11

Option Greeks Breakdown

Theoretical values
Greek MetricCall ValuePut Value
Delta (Δ)0.398-0.602
Gamma (Γ)0.0010490.001049
Theta (Θ)-11.291-6.619
Vega (𝒱)13.42213.422
Rho (ρ)1.964-3.042

Understanding Option Greeks

Delta (Δ) — Directional SensitivityMeasures the expected change in option price per ₹1 move in the underlying stock. A call delta of 0.39 means the call premium is expected to rise by ₹0.39 if the spot price rises by ₹1.
Gamma (Γ) — Delta's AccelerationMeasures the rate of change of Delta per ₹1 move in the underlying asset. High Gamma values mean the option's Delta is highly sensitive to stock price changes (often near-the-money options close to expiration).
Theta (Θ) — Time Decay (Daily)Measures the rate of decay in the option premium per day as it approaches expiration. Options lose value over time, so Theta is represented as a negative value for option buyers.
Vega (𝒱) — Volatility SensitivityMeasures the change in option price per 1% change in Implied Volatility (IV). Rising IV increases the value of both calls and puts, while dropping IV erodes premiums.
Rho (ρ) — Interest Rate SensitivityMeasures the change in option price per 1% change in the annualized risk-free interest rate. Higher rates generally increase Call premiums and decrease Put premiums.