Abstract

SummaryThis paper extends Pesaran's (Econometrica, 2006, 74, 967–1012) common correlated effects (CCE) by allowing for endogenous regressors in large heterogeneous panels with unknown common structural changes in slopes and error factor structure. Since endogenous regressors and structural breaks are often encountered in empirical studies with large panels, this extension makes Pesaran's CCE approach empirically more appealing. In addition to allowing for slope heterogeneity and cross‐sectional dependence, we find that Pesaran's CCE approach is also valid when dealing with unobservable factors in the presence of endogenous regressors and structural changes in slopes and error factor loadings. This is supported by Monte Carlo experiments.

Highlights

  • This paper extends Pesaran (2006) and Baltagi, Feng and Kao (2016) (BFK hereafter) by allowing for endogenous regressors in large heterogeneous panels with unknown common structural changes in slopes and error factor structure

  • Hall, Han and Boldea (2012) use instrumental variable (IV) estimation and show that break fractions and slopes can be consistently estimated in a time series setup

  • This paper extends Pesaran (2006) and BFK by allowing for endogenous regressors and unknown common structural changes in slopes and error factor loadings in large heterogeneous panels

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Summary

Introduction

This paper extends Pesaran (2006) and Baltagi, Feng and Kao (2016) (BFK hereafter) by allowing for endogenous regressors in large heterogeneous panels with unknown common structural changes in slopes and error factor structure. As indicated in the Monte Carlo experiments in the online Appendix, a break in the error factor loadings could lead to a spurious break in slope parameters Such error factor structure instability could a¤ect the estimation procedure proposed in similar panel change point models like Li, Qian, Su (2016) in which Bai’s (2009) interactive ...xed e¤ects approach is used to deal with cross-sectional dependence in the errors. There are two sources of endogeneity in xit in this model: one is due to common factors ft, and the other one is due to Cov("it; vit) 6= 0 In this way, this model accommodates 4 important empirical features: slope heterogeneity, cross-sectional dependence, structural breaks and endogeneity. The parameters of interest are cross-sectional averages of the slopes 1i and 2i, and the common break k0

Estimation Results
The general case
Monte Carlo Simulations
Conclusion
Assumptions
PN Pk0
Proof of Theorem 1
XT X N
Proof of Proposition 1
Online Appendix 2
Designs
Findings

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