Simulating Brownian Motion w/ Drift & Diffusion - Step-by-Step Guide for Excel

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SUMMARY

This discussion focuses on simulating Brownian motion with a drift of 4 units and diffusion of 2 units using Microsoft Excel. The key equation for this simulation involves the stochastic differential equation that defines Brownian motion. Participants recommend starting with the provided resource from Northwestern University, which outlines the necessary mathematical foundations and equations. Excel can be utilized to implement these equations step-by-step for effective simulation.

PREREQUISITES
  • Understanding of stochastic processes, specifically Brownian motion
  • Familiarity with Excel functions and formulas
  • Basic knowledge of drift and diffusion concepts in finance or physics
  • Ability to interpret mathematical equations and apply them in a programming context
NEXT STEPS
  • Research the stochastic differential equation for Brownian motion
  • Learn how to implement Excel's random number generation functions
  • Explore the use of Excel's data analysis tools for simulating random processes
  • Study the implications of drift and diffusion in financial modeling
USEFUL FOR

Data analysts, quantitative researchers, and anyone interested in financial modeling or simulations using Excel will benefit from this discussion.

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Describe the process of simulating a brownian motion with drift of 4 units and diffusion of 2 units. write a program in any application to imulate such a brownian motion.



Anyone knows where should i start first if i use excel to do it. I don't know what equation to use.
 
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You can probably start here:

http://www.kellogg.nwu.edu/faculty/myerson/ftp/ch7time.pdf
 
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