Abstract

Time series analysis is vital for stress testing and risk integration. Two main perspectives can be followed to forecast the evolution of an economy. On the one hand, a structural approach aims to apply the economic theory to real data. However, it may suffer from some statistical deficiencies. On the other hand, a pure statistical method solves the latter issue but may lack a genuine economic interpretation. The practical difficulties in dealing with a structural method suggest we focus on a more marked econometric mindset. As a first step, the study starts from the univariate autoregression and moving average processes. Moreover, the Box-Jenkins analysis provides an accurate and parsimonious framework for the investigation of real time series. A practical implementation in MATLAB and R helps readers familiarize themselves with these modeling techniques. Moving to the multivariate analysis, the traditional vector autoregression and vector error-correction models constitute the essential toolkit to deal with macroeconomic time series. Estimation, simulation, and forecast are components of a comprehensive process aimed at assessing the impact of external shocks on a bank’s business. When interdependencies increase, models capturing international linkages become crucial. In this regard, the global vector autoregression model facilitates a multicountry business stress test analysis as required in Bank Alpha’s example. Additionally, a bank usually requires variables other than those included in a regulatory scenario to run its internal stress testing models. Therefore an enrichment process concludes the chapter by expediting the scrutiny of a wider set of coherent macroeconomic forecasts.

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