# Effect of Volatility and Drift on Random Walks

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This Demonstration generates 10 sample paths of Brownian motion with values of drift governed by a user-defined maximum absolute value. The user can vary the number of steps and volatility of the random walk. A random walk is a mathematical model for the motion of particles in suspension in a fluid. The volatility represents the temperature of the fluid and drift represents an external force applied to the particles, such as an electric field. Drift values are the same for the and axes, resulting in drifting directions {1,1} and {-1,1}.

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Contributed by: Felipe Dimer de Oliveira (August 2013)

Open content licensed under CC BY-NC-SA

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"Effect of Volatility and Drift on Random Walks"

http://demonstrations.wolfram.com/EffectOfVolatilityAndDriftOnRandomWalks/

Wolfram Demonstrations Project

Published: August 21 2013