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FARS: Factor Augmented Regression Scenarios in R

Author

Listed:
  • Gian Pietro Bellocca
  • Ignacio Garr'on
  • Vladimir Rodr'iguez-Caballero
  • Esther Ruiz

Abstract

In the context of macroeconomic/financial time series, the FARS package provides a comprehensive framework in R for the construction of conditional densities of the variable of interest based on the factor-augmented quantile regressions (FA-QRs) methodology, with the factors extracted from multi-level dynamic factor models (ML-DFMs) with potential overlapping group-specific factors. Furthermore, the package also allows the construction of measures of risk as well as modeling and designing economic scenarios based on the conditional densities. In particular, the package enables users to: (i) extract global and group-specific factors using a flexible multi-level factor structure; (ii) compute asymptotically valid confidence regions for the estimated factors, accounting for uncertainty in the factor loadings; (iii) obtain estimates of the parameters of the FA-QRs together with their standard deviations; (iv) recover full predictive conditional densities from estimated quantiles; (v) obtain risk measures based on extreme quantiles of the conditional densities; and (vi) estimate the conditional density and the corresponding extreme quantiles when the factors are stressed.

Suggested Citation

  • Gian Pietro Bellocca & Ignacio Garr'on & Vladimir Rodr'iguez-Caballero & Esther Ruiz, 2025. "FARS: Factor Augmented Regression Scenarios in R," Papers 2507.10679, arXiv.org, revised Jul 2026.
  • Handle: RePEc:arx:papers:2507.10679
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    File URL: https://arxiv.org/pdf/2507.10679
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    References listed on IDEAS

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    1. Javier Maldonado & Esther Ruiz, 2021. "Accurate Confidence Regions for Principal Components Factors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(6), pages 1432-1453, December.
    2. Helske, Jouni, 2017. "KFAS: Exponential Family State Space Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 78(i10).
    3. In Choi & Dukpa Kim & Yun Jung Kim & Noh‐Sun Kwark, 2018. "A multilevel factor model: Identification, asymptotic theory and applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(3), pages 355-377, April.
    4. Rodríguez-Caballero, Carlos Vladimir & Caporin, Massimiliano, 2019. "A multilevel factor approach for the analysis of CDS commonality and risk contribution," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 63(C).
    5. Adelchi Azzalini & Antonella Capitanio, 2003. "Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 367-389, May.
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    Cited by:

    1. Bellocca, Gian Pietro Enzo & Garrón Vedia, Ignacio & Rodríguez Caballero, Carlos Vladimir & Ruiz Ortega, Esther, 2026. "The empirical distribution of sequential LS factors in Multi-level Dynamic Factor Models," DES - Working Papers. Statistics and Econometrics. WS 49336, Universidad Carlos III de Madrid. Departamento de Estadística.

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