A reasonably good model for stock prices / asset values dS = µSdt+oSdz or ds S where is the expected return and ois the volatility. This is the Geometric Brownian Motion (GBM). The discrete time parallel: = μdt + odz ΔS = μ$Δt + σδεν Δι 42

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What is the GBM and how should this be understood

A reasonably good model for stock prices /
asset values
dS = µSdt + oSdz
or
dS
udt + odz
where u is the expected return and o is
the volatility. This is the Geometric
Brownian Motion (GBM).
The discrete time parallel:
AS = µSAt + oSɛVat
42
Transcribed Image Text:A reasonably good model for stock prices / asset values dS = µSdt + oSdz or dS udt + odz where u is the expected return and o is the volatility. This is the Geometric Brownian Motion (GBM). The discrete time parallel: AS = µSAt + oSɛVat 42
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