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Return Prediction for Mean-Variance Portfolio Selection: How Decision-Focused Learning Shapes Forecasting Models

Created by
  • Haebom

Author

Junhyeong Lee, Haeun Jeon, Hyunglip Bae, Yongjae Lee

Outline

This paper theoretically analyzes the operating principles of Decision-Driven Learning (DFL), which emerged within Markowitz's mean-variance optimization (MVO) framework to solve the problem of estimating the expected value, variance, and covariance of uncertain asset returns. We highlight the limitations of existing machine learning-based forecasting models, which fail to account for correlations between assets when minimizing the mean squared error (MSE). We demonstrate that DFL incorporates correlations between assets into the learning process by weighting the MSE-based forecast errors by multiplying them by the inverse covariance matrix. In this process, DFL creates systematic biases that overestimate the returns of assets included in a portfolio and underestimate those excluded. We show that this bias is the reason DFL achieves superior portfolio performance despite higher forecast errors. In other words, we emphasize that strategic biases are a feature, not a defect.

Takeaways, Limitations

Takeaways: Theoretical explanation of why DFL performs well in MVO, and clarification of the operating principles of DFL and the MSE-based prediction model Limitations. Takeaways provides guidance on developing a new prediction model that effectively considers inter-asset correlations.
Limitations: This study focuses on theoretical analysis and does not verify the results through empirical analysis. Further research is needed to determine the generalizability of DFL across various asset classes and market environments. Further analysis is needed to determine the quantitative relationship between the magnitude of systematic biases generated by DFL and the performance of optimized portfolios.
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