2018
DOI: 10.2139/ssrn.3109314
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State-Varying Factor Models of Large Dimensions

Abstract: This paper develops an inferential theory for state-varying factor models of large dimensions. Unlike constant factor models, loadings are general functions of some recurrent state process. We develop an estimator for the latent factors and state-varying loadings under a large cross-section and time dimension. Our estimator combines nonparametric methods with principal component analysis. We derive the rate of convergence and limiting normal distribution for the factors, loadings and common components. In addi… Show more

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Cited by 12 publications
(6 citation statements)
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“…Pelger (2019) combines highfrequency data with PCA to capture non-parametrically the time-variation in factor risk. Pelger and Xiong (2018b) show that macroeconomic states are relevant to capture time-variation in PCAbased factors. Freyberger et al (2017) use Lasso selection methods to approximate the SDF as a non-linear function of characteristics but rule out interaction effects.…”
Section: Introductionmentioning
confidence: 95%
“…Pelger (2019) combines highfrequency data with PCA to capture non-parametrically the time-variation in factor risk. Pelger and Xiong (2018b) show that macroeconomic states are relevant to capture time-variation in PCAbased factors. Freyberger et al (2017) use Lasso selection methods to approximate the SDF as a non-linear function of characteristics but rule out interaction effects.…”
Section: Introductionmentioning
confidence: 95%
“…3 Generalized correlation (also called canonical correlation) measures how close two vector spaces are. It has been studied by Anderson (1958) and applied in large-dimensional factor models (Bai and Ng, 2006;Pelger, 2019;Andreou et al, 2017;Pelger and Xiong, 2018). 4 In simulations, we verify that the lower bound has good finite sample properties.…”
Section: Introductionmentioning
confidence: 63%
“…It is an open question whether we can extend this estimation approach to accommodate time-variation in the characteristics. Pelger and Xiong (2019) instead let the factor loadings be functions of an observable state variable. They consider the model:…”
Section: Testing Asset Pricing Restrictionsmentioning
confidence: 99%