Trading Mean Reversion with Kalman Filters

šŸš€ Master Quantitative Skills with Quant Guild https://quantguild.com šŸ“ˆ Interactive Brokers for Algorithmic Trading https://www.interactivebrokers.com/mk... šŸ‘¾ Join the Quant Guild Discord server here Ā Ā /Ā discordĀ Ā  ___________________________________________ 🪐 Source Code https://github.com/romanmichaelpaoluc... *TL;DW Executive Summary* Any time we are trying to make an informed decision in the face of uncertainty, we are making assumptions about model specification and parameterization. Model selection is rarely the issue, but in the real world, price processes often do not follow theoretical models like the Ornstein-Uhlenbeck process, and a strategy may work for a period, stop, and then start again. Model parameterization behaves similarly; because the mean level and other parameters are subject to change, a "stale" parameterization can destroy a beautiful equity curve. We’d like to move to a more dynamic modeling space, and the Kalman Filter is one such way to help solve the problem of non-stationarity and shifting means. Effectively, we are combining a model representation (the "knowledge" or laws of physics) with data that we actually observe ("experience"), allowing the mean to adapt in real time. We are then able to pull different levers to dictate how much we trust the observed market data (which may be noisy) relative to our original model assumptions. There are a variety of techniques to inform these decisions, such as calibration windows and backtests, though there is no asymptotic guarantee in reality like there is in the classroom. Moreover, there is no "free lunch"—a more adaptive model is more sensitive to noise, and successful trading requires a combination of quantitative skills and a grasp of the overall market climate to outperform systematic strategies. I hope you enjoyed, and I hope you learned something! Roman ___________________________________________ šŸ“– Chapters: 00:00 - Trading Mean Reversion and Kalman Filters 01:11 - What Trading Mean Reversion Should Look Like 03:55 - The Reality of Trading Mean Reversion 05:43 - Trading with Models and Assumptions 07:31 - Kalman Filters and Non-Stationarity 08:59 - Double Edged Sword of Adaptive Models 10:15 - Playing Your Hand of Poker with Models ___________________________________________ šŸ—£ļø Shout Outs A special thank you to my members on YouTube for supporting my channel and enabling me to continue to create videos just like this one! ⭐ Quant Guild Directors Dr. Jason Pirozzolo ___________________________________________ ā–¶ļø Related Videos Quant Builds šŸ”Ø How to Build a Live Volatility Surface in Python (Interactive Brokers)    • HowĀ toĀ BuildĀ aĀ LiveĀ VolatilityĀ SurfaceĀ inĀ ...Ā Ā  Statistics and Trading Profitability Over Time (Edge) šŸ“ˆ Time Series Analysis for Quant Finance    • TimeĀ SeriesĀ AnalysisĀ forĀ QuantĀ FinanceĀ Ā  Quant Trader on Retail vs Institutional Trading    • QuantĀ TraderĀ onĀ RetailĀ vs.Ā InstitutionalĀ T...Ā Ā  Quant on Trading and Investing    • QuantĀ onĀ TradingĀ andĀ InvestingĀ Ā  Why Poker Pros Make the Best Traders (It's NOT Luck)    • VideoĀ Ā  Quant vs. Discretionary Trading    • QuantĀ vs.Ā DiscretionaryĀ TradingĀ Ā  ___________________________________________ šŸ—‚ļø Resources šŸ“š Quant Guild Library: https://github.com/romanmichaelpaoluc... šŸŒŽ GitHub: https://github.com/RomanMichaelPaolucci https://github.com/Quant-Guild šŸ“ Medium (Blog): Ā Ā /Ā quantguildĀ Ā  Ā Ā /Ā quantĀ Ā  ___________________________________________ šŸ› ļø Projects The Gaussian Cookbook: https://gaussiancookbook.com Recipes for simulating stochastic processes: https://papers.ssrn.com/sol3/papers.c... ___________________________________________ šŸ’¬ Socials TikTok: Ā Ā /Ā quantguildĀ Ā  Instagram: Ā Ā /Ā quantguildĀ Ā  X/Twitter: https://x.com/quantguild/ LinkedIn (personal): Ā Ā /Ā rmp99Ā Ā  LinkedIn (company): Ā Ā /Ā quant-guildĀ Ā  ___________________________________________