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Binomial Tree, geometric Brownian motion: Trigeorgis

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created by: Thijs van den Berg (http://www.sitmo.com)
Binomial Tree, geometric Brownian motion: Trigeorgis equation

This is the Trigeorgis version of the Binomial tree. The Binomial tree is a discretized description of geometric Brownian motion which is often used to describe asset behavior. The structure is a recombining tree where the asset S can move either up or down.

List of symbols

u Up-factor
d Down-factor
Volatility
Y Yield of the underlying, for stocks Y=r (interest rate), futures Y=0, currencies Y=(domestic interest rate-foreign interest rate)
t Timestep
S Present value of the asset
Value of the asset after a up movement
Value of the asset after a down movement
Probability of an up movement
Probability of a down movement

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All text and equations on this page are freely available under the terms of the GNU Free Documentation License

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