Black-Scholes Options Calculator & Valuation Formula
The Black-Scholes-Merton model (1973) is the industry-standard benchmark for European options pricing. Our free options profit calculator utilizes this model to determine the theoretical fair value of calls and puts across varying stock prices, implied volatility levels, and days to expiration (DTE).
d₂ = d₁ - σ · √(T - t)
Where S is the current spot stock price, K is the strike price, T - t is the annualized time to maturity, r is the annualized risk-free interest rate, σ is the implied volatility of the underlying asset, and N(x) is the cumulative standard normal distribution function.