If you have used this program here: How to decide the balance of the pie percentage?
We can take our expected return and standard deviation and take it on some random walks using monte carlo simulation.
Here we can see the power of compounding of $1000 with a whopping unrealistic 30%
annual return:
A more reasonable rate of return of about 7%:
Pertinent data is printed in console:
Program: https://github.com/nickspacemonkey/monte_carlo/blob/master/monte_carlo.py