Deep Learning for Commodity Procurement: Nonlinear Data-Driven Optimization of Hedging Decisions

Nicolas Busch, Tobias Crönert, Stefan Minner, Moritz Rettinger, Burakhan Sel
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Abstract

As the number of exchange-traded commodity contracts and their volatility increase, risk management through financial hedging gains importance for commodity-purchasing firms. Existing data-driven optimization approaches for hedging decisions include linear regression-based techniques. As such, they assume linear price–feature relationships and, thus, do not automatically detect nonlinear feature effects. We propose an alternative, nonlinear data-driven approach to commodity procurement based on deep learning. The prescriptive algorithm uses artificial neural networks to allow for universal approximation and requires no a priori knowledge regarding underlying price processes. We reformulate the periodic review procurement problem as a multilabel time series classification problem as the optimal bang-bang type procurement policy allows us to treat the hedging decision for each demand period as an individual subproblem that is independent of the other periods. Thereby, we are differentiating between optimal and suboptimal hedging decisions in each period and introduce a novel opportunity cost–sensitive loss function. We train maximum likelihood classifiers based on different deep learning architectures and test their performance in numerical experiments and case studies for natural gas, crude oil, nickel, and copper procurement. We show comparable performance to the state of the art for linear price–feature relationships and considerable advantages in the nonlinear case. Funding: Financial support received through the DFG as part of the AdONE GRK2201 [Grant 277991500] is gratefully acknowledged.
商品采购的深度学习:非线性数据驱动的对冲决策优化
随着交易所交易的大宗商品合约数量及其波动性的增加,通过金融对冲进行风险管理对大宗商品采购公司来说变得越来越重要。现有的数据驱动的对冲决策优化方法包括基于线性回归的技术。因此,它们假设线性价格-特征关系,因此不能自动检测非线性特征效应。我们提出了一种基于深度学习的非线性数据驱动的商品采购方法。规定性算法使用人工神经网络来允许普遍近似,并且不需要关于基础价格过程的先验知识。我们将定期审查采购问题重新表述为一个多标签时间序列分类问题,因为最优的bang-bang型采购政策允许我们将每个需求期的对冲决策视为独立于其他时期的单个子问题。因此,我们区分了每个时期的最优和次优对冲决策,并引入了一个新的机会成本敏感损失函数。我们基于不同的深度学习架构训练最大似然分类器,并在天然气、原油、镍和铜采购的数值实验和案例研究中测试其性能。对于线性价格特征关系,我们展示了与最先进的性能相当的性能,并且在非线性情况下具有相当大的优势。资金:作为AdONE GRK2201 [Grant 277991500]的一部分,通过DFG获得的资金支持得到了感谢。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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