We propose a new rank-based test for the number of common primitive shocks, q, in large panel data. After estimating a VAR(1) model on r static factors extracted by principal component analysis, we estimate the number of common primitive shocks by testing the rank of the VAR residuals'...

Inflation remained quiescent for several decades and then surged in 2021 and 2022. Inflation subsequently fell in 2023 and 2024. This paper investigates how the rise and fall in inflation after 2019 affected the U.S. stock market. To do this, it estimates a fully specified multi-factor model...