Why Monte Carlo Simulation Works

🚀 Master Quantitative Skills with Quant Guild https://quantguild.com/?utm_source=yo... 📈 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/?utm_source=yo... 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   ___________________________________________