4. Algorithmic Portfolio Optimization
Introduction
Static allocations (60/40 stocks/bonds) ignore changing market dynamics. Algorithmic optimization uses AI to adjust weights for target risk–return profiles.
Core Techniques
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Covariance Estimation: Apply Ledoit–Wolf shrinkage for robust, stable covariance matrices.
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Mean-Variance Optimization: Solve for maximum expected return at a given volatility using
cvxpy. -
Dynamic Rebalancing: Trigger rebalance monthly or when weights deviate >5%.
How to Build
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Estimate Inputs: Calculate expected returns via blended factors (value, momentum) and estimate covariance from 60-day rolling returns.
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Optimization: Formulate the problem—maximize µᵀw − λ·wᵀΣw—choose risk aversion λ based on target volatility (e.g., 10% annualized).
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Backtest: Simulate with daily rebalancing costs; compare to static benchmark portfolios.
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Deployment: Automate with Python scripts on AWS EC2, send orders through brokerage API.
Illustrative Result
A dynamically allocated equity/bond portfolio matched a 9% annual return with half the volatility of a static 60/40 mix from 2012–2024.
Conclusion
Algorithmic optimization allows portfolios to adapt to shifting risk and return environments—enhancing stability without sacrificing performance.
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