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docs(book): Complete comprehensive Chapter 8 - Time Series Analysis
Complete pedagogical rewrite of Chapter 8 with production-ready OVSM code for algorithmic trading time series analysis. ## Contents (~23,000 words substantive content) **Opening:** LTCM case study ($4.6B collapse from broken stationarity) **Section 1:** Why Prices Aren't Random Walks - Empirical evidence (SPY autocorrelation, volatility clustering, fat tails) - Three exploitable patterns: momentum, mean reversion, volatility clustering **Section 2:** Stationarity - The Foundation - Intuitive explanations (dog on leash analogy) - Complete ADF/KPSS test coverage - 225-line OVSM implementation with detailed comments - Worked example: SPY 2020 prices → returns - Transformation strategies **Section 3:** ARIMA Models - Capturing Temporal Patterns - AR models (Bitcoin hourly returns example, φ = 0.142) - MA models (shock persistence, bid-ask bounce) - Box-Jenkins methodology (3-step process) - Ethereum daily returns worked example (ARIMA selection via BIC) - Production-ready AR(p) implementation (175 lines OVSM) **Section 4:** Cointegration - Foundation of Pairs Trading - Economic intuition (KO vs PEP, ETH vs BTC) - Engle-Granger two-step method - Complete ETH/BTC worked example (β = 0.062, half-life = 3.4 days) - Full backtest with transaction cost reality check - 180-line OVSM implementation with trading signals - Error Correction Models (ECM) - Rolling window stability analysis **Section 5:** Kalman Filters - Dynamic Parameters (Brief) - Time-varying hedge ratio problem - State-space intuition - 18-25% Sharpe improvement demonstrated **Summary:** - Three Questions Framework (stationarity, strength, stability) - Common pitfalls checklist (6 major mistakes) - When time series works/fails - Production deployment checklist (4 categories, 20 items) - Complete OVSM function reference ## Key Features 1. **Pedagogical Approach:** - 60% explanation, 40% code (as requested) - Real-world disasters/motivations before theory - Step-by-step worked examples with real data - Every code line explained (WHAT/WHY/HOW pattern) - Trading implications throughout 2. **Production-Ready Code:** - adf-test (125 lines with full documentation) - ar-model (175 lines with AIC/BIC selection) - engle-granger-test (180 lines with trading signals) - All functions include interpretation and error handling 3. **Practical Focus:** - Transaction cost reality checks on all strategies - BTC hourly momentum: statistically significant but unprofitable after costs - ETH/BTC pairs trading: $823 gross → $55 net after fees - Kalman filter benefits quantified: +18% Sharpe 4. **Risk Management:** - LTCM opening sets cautionary tone - Rolling window analysis for all strategies - Parameter stability requirements - Production deployment checklist ## References 10 academic citations including Engle-Granger (1987), Box-Jenkins, MacKinnon cointegration critical values, LTCM case study. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <[email protected]>
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