What this calculator solves
Greeks translate option price into sensitivities: directional exposure, curvature, time decay, and volatility exposure. They are most useful when compared with payoff, liquidity, and thesis.
Formula
This calculator uses the Black-Scholes model with spot price, strike, days to expiration, implied volatility, and risk-free rate. Delta comes from N(d1), Gamma from the probability density around d1, Vega from volatility sensitivity, and Theta from time decay.
Example
An at-the-money 30-day call with 25% IV and a 4.5% rate should have a Delta slightly above 0.50, positive Gamma and Vega, and negative daily Theta for a long call.
Risk reminder
Black-Scholes is a reference model, not a market quote. American exercise, dividends, hard-to-borrow names, skew, event jumps, and wide spreads can make live prices differ.