Deep Hedging to Manage Tail Risk

ArXiv ID: 2506.22611 “View on arXiv”

Authors: Yuming Ma

Abstract

Extending Buehler et al.’s 2019 Deep Hedging paradigm, we innovatively employ deep neural networks to parameterize convex-risk minimization (CVaR/ES) for the portfolio tail-risk hedging problem. Through comprehensive numerical experiments on crisis-era bootstrap market simulators – customizable with transaction costs, risk budgets, liquidity constraints, and market impact – our end-to-end framework not only achieves significant one-day 99% CVaR reduction but also yields practical insights into friction-aware strategy adaptation, demonstrating robustness and operational viability in realistic markets.

Keywords: Deep Hedging, Conditional Value at Risk (CVaR), Convex Risk Minimization, Tail Risk, Deep Neural Networks

Complexity vs Empirical Score

• Math Complexity: 7.5/10
• Empirical Rigor: 7.0/10
• Quadrant: Holy Grail
• Why: The paper employs advanced mathematical tools including stochastic calculus, convex risk minimization (CVaR), and neural network optimization, demonstrating significant theoretical depth. Furthermore, it features extensive empirical validation via non-parametric bootstrap market simulators with real-world constraints, showcasing backtest-ready implementation with crisis-era data.

  flowchart TD
    A["Research Goal: Deep Hedging for Tail Risk Management"] --> B["Methodology: Neural Network Parameterization of Convex Risk"]
    B --> C["Data: Crisis-Era Market Simulator & Constraints"]
    C --> D["Computation: End-to-End Gradient Optimization"]
    D --> E{"Outcomes"}
    E --> F["99% CVaR Reduction"]
    E --> G["Friction-Aware Strategy Adaptation"]
    E --> H["Robust Operational Viability"]