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Bridging Econometrics and AI: VaR Estimation via Reinforcement Learning and GARCH Models (2504.16635v1)

Published 23 Apr 2025 in cs.AI, q-fin.CP, q-fin.RM, and q-fin.ST

Abstract: In an environment of increasingly volatile financial markets, the accurate estimation of risk remains a major challenge. Traditional econometric models, such as GARCH and its variants, are based on assumptions that are often too rigid to adapt to the complexity of the current market dynamics. To overcome these limitations, we propose a hybrid framework for Value-at-Risk (VaR) estimation, combining GARCH volatility models with deep reinforcement learning. Our approach incorporates directional market forecasting using the Double Deep Q-Network (DDQN) model, treating the task as an imbalanced classification problem. This architecture enables the dynamic adjustment of risk-level forecasts according to market conditions. Empirical validation on daily Eurostoxx 50 data covering periods of crisis and high volatility shows a significant improvement in the accuracy of VaR estimates, as well as a reduction in the number of breaches and also in capital requirements, while respecting regulatory risk thresholds. The ability of the model to adjust risk levels in real time reinforces its relevance to modern and proactive risk management.

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Summary

Bridging Econometrics and AI: VaR Estimation via Reinforcement Learning and GARCH Models

The paper "Bridging Econometrics and AI: VaR Estimation via Reinforcement Learning and GARCH Models" addresses the pivotal challenge of enhancing risk estimation in volatile financial markets. The authors propose a novel hybrid framework for Value-at-Risk (VaR) estimation, leveraging the robustness of Generalized Autoregressive Conditional Heteroskedasticity (GARCH) volatility models and the adaptability of deep reinforcement learning algorithms, specifically the Double Deep Q-Network (DDQN) model.

Model Framework and Methodology

Traditionally, VaR estimation relies heavily on models like GARCH, which, despite their mathematical rigor, often require assumptions that may not align with the dynamic realities of financial markets. These models grapple with capturing the peculiarity of asset returns, which exhibit characteristics such as volatility clustering and asymmetric information dissemination.

The methodological core of this paper lies in the integration of econometric models with machine learning approaches. By reformulating stock return forecasting into a directional classification task, the authors strategically employ DDQN for risk forecasting. This reinforcement learning model, adept at managing class imbalance, dynamically adjusts risk predictions in response to evolving market conditions. The architecture harnesses predictive capabilities by focusing on classifying return directions instead of exact values, categorizing them into risk levels that guide VaR adjustments.

Empirical Analysis and Results

The empirical efforts focus on applying this framework to Eurostoxx 50 index data, capturing periods of considerable financial turmoil, including the COVID-19 pandemic and geopolitical instabilities. Through rigorous testing on validation and test samples, the DDQN model consistently outperformed traditional supervised learning models such as Logistic Regression (LR), Support Vector Machines (SVM), and various neural networks.

Key metrics indicative of model performance included accuracy, F1-score, and recall. The DDQN-based model achieved an accuracy of 83.5% on validation and 79.4% on the test sample, underscoring its capability in minimizing prediction biases towards dominant classes. The model demonstrated proficiency in risk classification tasks, effectively reducing excessive capital reserves while maintaining regulatory risk thresholds.

Implications and Future Research Directions

This innovative approach offers substantial implications for risk management, particularly in enhancing the reliability and responsiveness of VaR measures. It provides financial institutions with a tool that balances capital allocation efficiency with robust risk coverage. By incorporating machine learning paradigms, the proposed model addresses the limitations inherent in static econometric methods, fostering real-time decision-making in capital-intensive financial environments.

While the paper illuminates pathways for integrating AI techniques in risk management, it also acknowledges potential limitations like model interpretability and computational demands. Future research could explore optimization strategies to streamline model training and enhance transparency in deployment contexts.

Furthermore, the transition towards Expected Shortfall (ES) in regulatory frameworks posits an interesting trajectory for extending this research. As ES requires robust tail risk modeling, the foundational advancements in VaR estimation offered here provide a valuable basis for subsequent evaluation and refinement of ES calculations.

In summary, this research contributes significantly to the evolving dialogue surrounding econometrics and AI in financial risk estimation. It exemplifies how advanced computational techniques can drive innovation in traditional risk management practices, paving the way for more resilient financial systems amidst unpredictable market dynamics.

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