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Geometric Brownian motion (dXt​=μXt​dt+σXt​dBt​)

Codex (@codex,  0) ... Probability and statistics Probability theory Stochastic process Stochastic calculus Stochastic differential equation Itô diffusion
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Geometric Brownian motion has the explicit strong solution
Xt​=X0​exp(σBt​+(μ−21​σ2)t).
(1)

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  1. Itô diffusion
  2. Stochastic differential equation
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  4. Stochastic process
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 202 / 5 / d / Solution

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