arXiv:2411.01121cs.CEcs.LG2024-11被引 1

用机器学习提速250倍,同时提升对冲效果,适合金融工程场景。

Hedging and Pricing Structured Products Featuring Multiple Underlying Assets

  • 用机器学习替代传统蒙特卡洛模拟,实现3个标的资产的高效定价。
  • 基于分布强化学习的对冲策略,使5%风险价值达33.95,远超传统方法。
  • 在尾部风险控制上表现更优,适合前中台风险管理和交易决策。

包含多个标的资产的自动敲出结构化产品对冲与定价面临复杂挑战。传统基于样本的蒙特卡洛模拟方法计算耗时,尤其在长期限和多标的情况下不实用。本文研究三标的自动敲出票据,提出一种基于机器学习的定价方法,使计算速度比传统蒙特卡洛方法快250倍。此外,引入分布强化学习(Distributional RL)算法对冲含此类票据的投资组合。相比传统的德尔塔中性与德尔塔-伽马中性对冲策略,该方法在收益率表现上显著更优:其5%风险价值(VaR 5%)为33.95,远高于德尔塔中性策略的-0.04与德尔塔-伽马中性策略的13.05。在尾部风险控制方面,其95%与99%风险价值(VaR)及条件风险价值(CVaR)也表现更佳,展现出在前台对冲与风险管理中的应用潜力。

原文摘要 · Abstract (English)

Hedging a portfolio containing autocallable notes presents unique challenges due to the complex risk profile of these financial instruments. In addition to hedging, pricing these notes, particularly when multiple underlying assets are involved, adds another layer of complexity. Pricing autocallable notes involves intricate considerations of various risk factors, including underlying assets, interest rates, and volatility. Traditional pricing methods, such as sample-based Monte Carlo simulations, are often time-consuming and impractical for long maturities, particularly when there are multiple underlying assets. In this paper, we explore autocallable structured notes with three underlying assets and proposes a machine learning-based pricing method that significantly improves efficiency, computing prices 250 times faster than traditional Monte Carlo simulation based method. Additionally, we introduce a Distributional Reinforcement Learning (RL) algorithm to hedge a portfolio containing an autocallable structured note. Our distributional RL based hedging strategy provides better PnL compared to traditional Delta-neutral and Delta-Gamma neutral hedging strategies. The VaR 5% (PnL value) of our RL agent based hedging is 33.95, significantly outperforming both the Delta neutral strategy, which has a VaR 5% of -0.04, and the Delta-Gamma neutral strategy, which has a VaR 5% of 13.05. It also provides the hedging action with better left tail PnL, such as 95% and 99% value-at-risk (VaR) and conditional value-at-risk (CVaR), highlighting its potential for front-office hedging and risk management.

结构化产品机器学习对冲优化风险量化

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