“…In this paper, we propose a new model that bridges TVP-VAR-SV and TVP-FAVAR-SV, with a new estimation strategy based on the results in KK. Specifically, to reduce the dimensionality, we draw from the recent developments in Multivariate Index Autoregressive (MAI) models, see Carriero et al (2016), Cubadda et al (2017), Cubadda and Guardabascio (2019), and Carriero et al (2020), among others. The MAI model, originally introduced by Reinsel (1983), is a bridge between reduced-rank VARs (see Carriero et al, 2015 and the references therein) and the Dynamic Factor Model (DFM, see Stock andWatson, 2016, Lippi, 2019 and the references therein).…”