Quantitative Finance
The math that runs derivatives
Here is the destination of the high-school program. All the math we teach — functions, derivatives, integrals, logarithms, probability — converges into a single equation that won the 1997 Nobel Prize in Economics and moves billions of dollars a day on derivatives desks worldwide.
This section is not a priority for expansion (today's focus is Optimized High School), but it serves as a living demonstration that the math we will teach is real, is the same used in São Paulo, Tokyo and London, and has immediate application.
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Black-Scholes Equation
The most complete piece on the site. 7 doors (formal + 5, 10, 15, 25, 40 years + practical) with 4 real scenarios using B3 market data (PETR4 on 04/24/2026). Includes derivation via Itô's lemma, put-call parity, the 4 main Greeks (Δ, Γ, ν, Θ) and interactive payoff diagrams.
Published content in Finance
Prerequisites to understand Black-Scholes
To reach the formal door, you need Year 3 of High School completed — in particular: derivative, integral, natural logarithm, normal distribution. The 5/10/15 doors on the Black-Scholes page work without prerequisites: a 5-year-old can follow the concept via a sticker analogy, and a 15-year-old via a game-skin analogy.