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arXiv 2005.03969q-fin.STphysics.soc-ph
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外生风险对股票市场影响的预测方法

Methods for forecasting the effect of exogenous risk on stock markets

Karina Arias-Calluari, Fernando Alonso-Marroquin, Morteza Nattagh-Najafi, Michael Harré

摘要:

市场受到内生和外生风险的影响,这些风险对全球金融和经济市场造成干扰,最终导致股票市场快速下跌。过去,市场在任何经济中断后都会复苏。在此基础上,我们将COVID-19疫情作为一种外生风险的案例研究,并分析其对标准普尔500(S\&P500)指数的影响。我们假设标准普尔500指数在不久的将来再次上涨之前达到最低点。在这里,我们提出了两个案例来预测标准普尔500指数。第一个案例使用了华盛顿大学于2020年4月2日发布的预期死亡估计。对于第二例病例,假设死亡人数高峰将出现在美国发生首例确诊病例后2个月。指数的下降和恢复是在预测趋势的初始点之后的三个月内估计的。该预报是一个预测的投影与随机波动描述的$q$ -高斯扩散过程与三个时空制度。我们的预测是基于这样一个前提,即任何市场反应都可以分解为一个整体的确定性趋势和一个随机性术语。预测是基于确定性部分,对于本案例研究,通过在爆发的初始阶段外推S\&P500数据趋势来近似。随机波动的结构与过去24年的结构相同。预报结果合理,准确率达85%。

英文摘要:

Markets are subjected to both endogenous and exogenous risks that have caused disruptions to financial and economic markets around the globe, leading eventually to fast stock market declines. In the past, markets have recovered after any economic disruption. On this basis, we focus on the outbreak of COVID-19 as a case study of an exogenous risk and analyze its impact on the Standard and Poor's 500 (S\&P500) index. We assumed that the S\&P500 index reaches a minimum before rising again in the not-too-distant future. Here we present two cases to forecast the S\&P500 index. The first case uses an estimation of expected deaths released on 02/04/2020 by the University of Washington. For the second case, it is assumed that the peak number of deaths will occur 2-months since the first confirmed case occurred in the USA. The decline and recovery in the index were estimated for the following three months after the initial point of the predicted trend. The forecast is a projection of a prediction with stochastic fluctuations described by $q$-gaussian diffusion process with three spatio-temporal regimes. Our forecast was made on the premise that any market response can be decomposed into an overall deterministic trend and a stochastic term. The prediction was based on the deterministic part and for this case study is approximated by the extrapolation of the S\&P500 data trend in the initial stages of the outbreak. The stochastic fluctuations have the same structure as the one derived from the past 24 years. A reasonable forecast was achieved with 85\% of accuracy.

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