Geometric Brownian motion

Japanese

幾何ブラウン運動

Last reviewed

September 25, 2026

This is a draft, shown for review before publication.

Geometric Brownian motion is a stochastic process in which the logarithm of the price follows Brownian motion with drift. The price at any given time is lognormally distributed, and the process is used in the Black-Scholes model to describe the movement of prices such as stock prices.