Estimating the output gap in times of COVID-19

Luigi Durand, Jorge Alberto Fornero
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Abstract

We extend a standard multivariate filter used to estimate the Output Gap (OG) in Chile to account for large economic shocks, such as those observed during the COVID-19 crisis. We propose two methodological extensions. First, we introduce exogenous supply shocks in the dynamics of potential output growth. Second, we add “system” prior distributions on a set of characteristics of the model. We show that these extensions improve several desirable properties of Chile’s OG, such as stability, accuracy, consistency and also reduce the uncertainty surrounding the estimates. Next, we generalize our results by applying our methodology to a panel of countries, showing that the extended filter yields a tighter relationship between inflation developments and the OG, when compared to its standard counterpart.

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估算 COVID-19 时代的产出缺口
我们对用于估算智利产出缺口(OG)的标准多变量滤波器进行了扩展,以考虑巨大的经济冲击,如在 COVID-19 危机期间观察到的冲击。我们提出了两个方法上的扩展。首先,我们在潜在产出增长动态中引入了外生供给冲击。其次,我们在模型的一系列特征上添加了 "系统 "先验分布。我们的研究表明,这些扩展改进了智利 OG 的几个理想属性,如稳定性、准确性和一致性,同时也降低了估计值的不确定性。接下来,我们通过将我们的方法应用于一组国家来推广我们的结果,结果表明,与标准过滤器相比,扩展过滤器在通货膨胀发展和 OG 之间产生了更紧密的关系。
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