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Stress Testing Network Reconstruction via Graphical Causal Model

Helder Rojas, David Dias

arXiv 3 Jun 2019 · Statistics — Applications · publishedApplied Stochastic Models in Business and Industry (2019)

arXiv:1906.01468 · PDF · DOI · OpenAlex · Extracted main text

Abstract

An resilience optimal evaluation of financial portfolios implies having plausible hypotheses about the multiple interconnections between the macroeconomic variables and the risk parameters. In this paper, we propose a graphical model for the reconstruction of the causal structure that links the multiple macroeconomic variables and the assessed risk parameters, it is this structure that we call Stress Testing Network (STN). In this model, the relationships between the macroeconomic variables and the risk parameter define a "relational graph" among their time-series, where related time-series are connected by an edge. Our proposal is based on the temporal causal models, but unlike, we incorporate specific conditions in the structure which correspond to intrinsic characteristics this type of networks. Using the proposed model and given the high-dimensional nature of the problem, we used regularization methods to efficiently detect causality in the time-series and reconstruct the underlying causal structure. In addition, we illustrate the use of model in credit risk data of a portfolio. Finally, we discuss its uses and practical benefits in stress testing.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Rojas H, D. D (2019) Transmission of macroeconomic shocks to risk parameters: Their uses in stress testing0.84333100%
2Henry, J., Kok, C., Amzallag, A., Baudino, P., Cabral, I., Grodzicki… (2013) A macro stress testing framework for assessing systemic risks in the banking sector0.64422100%
3Basu, S., Michailidis, G., et al (2015) Regularized estimation in sparse high-dimensional time series models0.40511100%
4Chan-Lau, M. J. A (2017) Lasso regressions and forecasting models in applied stress testing0.40511100%
5Charbonnier, C., Chiquet, J., and Ambroise, C (2010) Weighted-lasso for structured network inference from time course data0.40511100%
6Chiquet, J (2015) Contributions to Sparse Methods for Complex Data Analysis0.40511100%
7Davis, R. A., Zang, P., and Zheng, T (2016) Sparse vector autoregressive modeling0.40511100%
8Dent, K., Westwood, B., and Segoviano Basurto, M (2016) Stress testing of banks: an introduction0.40511100%
9Eichler, M (2012) Graphical modelling of multivariate time series0.40511100%
10Granger, C. W (1980) Testing for causality: a personal viewpoint0.40511100%

Showing the top 10 of 18 scored citations.