Modeling the relationship between the Russian ruble exchange rate and oil prices using artificial neural networks

IF 0.4 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics & Informatics Pub Date : 2022-08-31 DOI:10.37791/2687-0649-2022-17-4-127-142
A. Polbin, Margarita A. Kropocheva
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Abstract

The article examines the dependence between the Russian ruble exchange rate and oil prices with the use of neural network modeling. The relevance of the study can be confirmed by the interest of the monetary authorities in modeling the dynamics of the exchange rate for developing monetary policy measures. The research objective of the article is the estimation of the relationship between the Russian ruble exchange rate and oil prices using multilayer perceptron and recurrent neural network models. Moreover, the influence of additional factors, including foreign exchange interventions and geopolitical risks, is estimated. The results show that neural networks provide sufficient accuracy in estimation of the target variable. Furthermore, during the periods with foreign exchange interventions and high geopolitical instability there was confirmed a decoupling of the examined variables. The modeled time series preserve non-linear nature of exchange rate data generating process, as well as the asymmetry in the reaction of the ruble exchange rate to oil price shocks. The hyperparameters selection, use of bootstrap and ensembles of neural networks provide more robust estimates and confidence intervals for the oil price elasticity of the ruble exchange rate. Therefore, the combination of the aforementioned methods makes it possible to draw meaningful economic conclusions based on the trained neural networks, avoiding the problem of neural network weights non-interpretability.
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利用人工神经网络对俄罗斯卢布汇率与油价之间的关系进行建模
本文利用神经网络模型检验了俄罗斯卢布汇率与油价之间的依赖关系。这项研究的相关性可以通过货币当局对汇率动态建模以制定货币政策措施的兴趣得到证实。本文的研究目的是利用多层感知器和递归神经网络模型估计俄罗斯卢布汇率与油价之间的关系。此外,还估计了其他因素的影响,包括外汇干预和地缘政治风险。结果表明,神经网络对目标变量的估计具有足够的精度。此外,在外汇干预和地缘政治高度不稳定的时期,证实了所检查变量的脱钩。建模的时间序列保留了汇率数据生成过程的非线性性质,以及卢布汇率对油价冲击反应的不对称性。超参数选择、自举和神经网络集合的使用为卢布汇率的油价弹性提供了更稳健的估计和置信区间。因此,上述方法的结合可以根据训练的神经网络得出有意义的经济结论,避免了神经网络权重不可解释性的问题。
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