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Capital adjustment cost and inconsistency in income-based dynamic panel models with fixed effects

Basu, Parantap; Bhattarai, Keshab; Getachew, Yoseph

Authors

Parantap Basu

Yoseph Getachew



Abstract

After the seminal work of Nickell (1981), a vast literature demonstrates the inconsistency of ‘conditional convergence’ estimator in income-based dynamic panel models with fixed effects when the time horizon (T) is short but the sample of countries (N) is large. Less attention is given to the economic root of inconsistency of the fixed effects estimator when T is also large. Using a variant of the Ramsey growth model with long-run adjustment cost of capital, we demonstrate that the fixed effects estimator of such models could be inconsistent when T is large. This inconsistency arises because of the long-run adjustment cost of capital which gives rise to a negative moving average coefficient in the error term. Income convergence will be thus overestimated. We theoretically characterize the order of this inconsistency. Our Monte Carlo simulation demonstrates that the size of the bias is substantial and it is greater in economies with higher capital adjustment costs. We show that the use of instrumental variables that take into account the presence of the negative moving average term in the error will overcome this bias.

Citation

Basu, P., Bhattarai, K., & Getachew, Y. (2019). Capital adjustment cost and inconsistency in income-based dynamic panel models with fixed effects. German Economic Review, 20(4), e1002-e1018. https://doi.org/10.1111/geer.12202

Journal Article Type Article
Acceptance Date Aug 1, 2019
Online Publication Date Aug 14, 2019
Publication Date 2019-11
Deposit Date Jan 8, 2020
Publicly Available Date Aug 15, 2021
Journal German Economic Review
Print ISSN 1465-6485
Electronic ISSN 1468-0475
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 20
Issue 4
Pages e1002-e1018
DOI https://doi.org/10.1111/geer.12202
Keywords Dynamic panel model; adjustment cost of capital; inconsistency; Ramsey growth model
Public URL https://hull-repository.worktribe.com/output/3016649
Publisher URL https://onlinelibrary.wiley.com/doi/abs/10.1111/geer.12202

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