F&O / Calculator
Options Calculator
Calculate theoretical option value, implied volatility and key Greeks using the Black-Scholes-Merton model.
Model output
Results
Payoff graph
Single-option expiry payoff appears after calculation
Enter a single option contract and calculate to see its illustrative buyer P&L at expiry.
Key Greeks
At the entered spot, from the model result
Delta, gamma, theta, vega and rho appear here when the model returns them.
Model notes / methodology
How the calculator works
Model basis
Black-Scholes-Merton with European exercise and continuous dividend yield. Time uses ACT/365 and the product's documented expiry convention.
Entered market premium
IV solving uses the premium you enter, through the existing bracketed Brent inversion and tick-resolvability check. An unavailable solution is reported as such.
Educational output
The value and Greeks are model outputs from manual inputs. The payoff graph illustrates one long option at expiry; it is not a live quote, forecast or recommendation.