Options payoff calculator
Enter the underlying, strike, time, rate, dividend yield and volatility. You get the Black-Scholes-Merton price and five Greeks for the call and the put with the put-call parity check, then up to four legs priced leg by leg and their payoff at expiry across forty-one prices. Same logic as the Bindler workbook, verified against it.
Method: Black-Scholes-Merton for European options with a continuous dividend yield. Vega is per volatility point, theta per calendar day (365), rho per rate point. The normal CDF uses a series for small arguments and a continued fraction for large ones, checked against a reference to better than 1e-9. Payoff at expiry is intrinsic value per leg times contracts times the multiplier, less the net premium paid. American exercise, volatility skew, transaction costs and margin are outside this page. Same logic as the Bindler workbook. A model on your inputs, not a market, and not investment advice.