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For K-12 Students · Binomial Option Pricing

Binomial Option Pricing for a Black-Scholes option

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a Black-Scholes option live below — adjust the inputs and watch it respond, right in your browser.

Binomial Option PricingLive

a lattice of possible futures

Controls

Presets

Spot price S

Strike K

Volatility σ

Time to expiry (yr)

Tree steps

The binomial model builds a tree of up and down moves, then works backward from expiry using risk-neutral probabilities to price the option today. Add more steps and it converges to the Black–Scholes value. Educational tool, not financial advice.

▶ Run in Python

Data Inspector

Call price$11.24

Up factor u1.133

Risk-neutral p0.509

Governing equation

p = \frac{e ^{r Δ t} - d}{u - d} = \frac{e ^{0.04 \cdot 0.250} - 0.882}{1.133 - 0.882} = 0.509, V_{0} = e^{- r Δ t} [p V_{u} + (1 - p) V_{d}] = $11.24

Reading this result: Near the money the price is almost all time value; it rises with volatility (σ = 0.25) and time (T = 1.0yr) because both widen the cone of possible ending prices.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Binomial Option Pricing for a Black-Scholes option" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.