Home Services Equations Calculators LaTeX editor Forum Contact

Probability of the low of geometric Brownian motion

Digg!
created by: Thijs van den Berg (http://www.sitmo.com)
Probability of the low of geometric Brownian motion equation

Cumulative probability function of the high of an underlying between now and some future time t. The underlying behavior is geometric Brownian motion.

List of symbols

Probability of x
L Low level
Initial value at t=0 of the Brownian moton
Drift term
Volatility

Related Equations

Binomial Tree, geometric Brownian motion: Cox, Ross, Rubinstein »  
Binomial Tree, geometric Brownian motion: Jarrow, Rudd »  
Binomial Tree, geometric Brownian motion: Tian »  
Binomial Tree, geometric Brownian motion: Trigeorgis »  
Correlation between two points in time of geometric Brownian motion »  
Expected value of a geometric Brownian motion raised to a power for S  
Expected value of a geometric Brownian motion raised to a power for S>K »  
Geometric average in time, continously sampled »  
Geometric average in time, discretely sampled »  
Geometric Brownian motion SDE »  
Joint high-low probability of geometric Brownian motion »  
Probability density of geometric Brownian motion hitting a barrier for the first time at T »  
Probability density of geometric Brownian motion at a fixed time »  
Probability of the high of geometric Brownian motion »  
Simulating geometric Brownian motion »  
Simulating geometric Brownian motion with a cash dividend »  
Simulating geometric Brownian motion with a stock dividend »  
Simulating geometric Brownian motion with multiple cash dividends »  
Trinomial Tree, geometric Brownian motion »  
All text and equations on this page are freely available under the terms of the GNU Free Documentation License

Download

Word Pdf LaTeX

equation image:
.gif image