2X Bull and 3X Bull Asset Price Modeling

SPXL is a daily 3X bull ETF which implies it does not guarrentee 3x return in the long run. For this reason I built the following simulator to test their long term results.

Simulator

Conditions:

• Asset prices follow geometric brownian motion, which means asset price instant change follows a log-normal distribution and its return rate follows a normal distribution.
• All simulated assets have starting value of $100.

Mean Daily Return:
 %
Daily Return Standard Deviation:
 %
Investment Duration:
 Days

• SP500 Value：Dollars, return:%
• 2X Bull Value:Dollars, return:%
• 3X Bull Value:Dollars, return:%