Why Monte Carlo Simulation Works

Опубликовано: 22 Май 2026
на канале: Roman Paolucci
24,677
1k

🚀 Master Quantitative Skills with Quant Guild
https://quantguild.com

📈 Interactive Brokers for Algorithmic Trading
https://www.interactivebrokers.com/mk...

👾 Join the Quant Guild Discord server here
  / discord  
___________________________________________
Jupyter Notebook:
https://github.com/romanmichaelpaoluc...

It was a 3:30 am EST deployment for the new https://quantguild.com update - nevertheless, one of my favorite topics to discuss! I hope you learned something and enjoyed the video!

Roman
___________________________________________
Chapters:
00:00 - Monte Carlo Simulation for Statistics and Probabilities
01:39 - Random Variables as a Distribution
05:05 - Law of Large Numbers (LLN)
07:58 - Dice Roll Example
9:08 - New Casino Game Example
11:05 - Creating Edge in Games of Chance
12:50 - Simulating Probabilities
15:28 - Simulating Financial Derivative Prices
17:50 - Challenges with Simulation in Finance
21:20 - Closing Thoughts and Future Topics
___________________________________________
Related Videos:

Monte-Carlo Simulation and Black-Scholes for Pricing Options
   • Monte Carlo Simulation and Black-Scholes f...  

Expected Stock Returns Don't Exist:
   • Expected Stock Returns Don't Exist  

How to Trade:
   • How to Trade  
___________________________________________
Resources

Quant Guild Library:
https://github.com/romanmichaelpaoluc...

GitHub:
https://github.com/RomanMichaelPaolucci
https://github.com/Quant-Guild

Medium (Blog):
  / quantguild  
  / quant  
___________________________________________
Projects

The Gaussian Cookbook:
https://gaussiancookbook.com

Practice Market Making (Statistical Arbitrage):
https://practicemarketmaking.com

Recipes for simulating stochastic processes:
https://papers.ssrn.com/sol3/papers.c...
___________________________________________
Socials

TikTok:   / quantguild  

Instagram:   / quantguild  

X/Twitter: https://x.com/quantguild/

LinkedIn (personal):   / rmp99  

LinkedIn (company):   / quant-guild  
___________________________________________