Short guides that sit next to the in-browser calculator. European-style BSM only — for study, not for trade signals or valuation engagements.
Start with the history if you want the 1973 story before the algebra. Use the pricing tutorial for the formula with numbers. Use the Greeks guide when you care about sensitivities. Use the implied-volatility guide when you have a market price and need the σ that matches it. Use the DLOM note if a valuation reading mentioned Chaffe — and to see, plainly, that this lab is not a DLOM calculator. Every article links back to the calculator so you can change an input and watch the European model move.
Origins, Black, Scholes, and Merton, what the 1973 model assumes, why this lab is European-only, and common misconceptions — written for learners, not traders.
Read the history →Price a European call and put step by step: the closed-form formulas, the six inputs, d₁ and d₂, and a fully worked numerical example with a live widget to test each stage.
Read the tutorial →Delta, Gamma, Theta, Vega, and Rho — what each sensitivity means, how it is computed in Black-Scholes, and how the five measures fit together, with interactive examples.
Read the Greeks guide →What IV is, how a Newton-Raphson solver backs it out of an observed option price, and how implied vol differs from realized (historical) volatility.
Read the IV guide →How European put thinking shows up in DLOM practice (Chaffe and kin), including why σ is not raw guideline equity vol — size, unlever to asset vol, relever at subject company / firm leverage. Not a DLOM calculator; no WACC tools.
Read the DLOM note →European call and put prices, Greeks, an IV solver, a payoff sketch, and a put-call parity check — all in the browser.
Black-Scholes Calculator →