Quant model demos

These eight models run in seu browser. dados é randomly generated e does não mostrar any estratégia’s past ou futuro results.

01 / 08 · How prices move

Geometric Brownian motionGBM

Where could preço go?

It treats log preço changes as a random walk com drift. higher volatilidade, wider futuro paths fan out.

dSt=μStdt+σStdWtg=μ−σ22
exemplo dados · randomly generated · Log scale
  • exemplo paths
  • 90% intervalo
  • Median
  • Expected valor

Parameters

Results

One-year retorno, median path
-7,7%
Expected one-year retorno
+10,5%
Chance of a perda after a year
55%

In trading

baseline para option pricing, risco budgets, e scenario generation. chart shows volatilidade drag: even com a positive expected retorno, median path pode fall, because median grows at μ − σ²/2.

Limits

It assumes constant volatilidade e normally distributed returns. Real cripto mercados have gaps, fat tails, e volatilidade clustering.