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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Difference-in-differences with Economic Factors and the Case of Housing Returns
Organization Unit
Authors
  • Jiyuan Huang
  • Per Nils Anders Östberg
Language
  • English
Institution University of Zurich
Series Name Swiss Finance Institute Research Paper
Number 23-55
ISSN 1556-5068
Number of Pages 67
Date 2023
Abstract Text This paper studies how to incorporate observable factors in difference-in-differences and document their empirical relevance. We show that even under random assignment directly adding factors with unit-specific loadings into the difference-in-differences estimation results in biased estimates. This bias, which we term the “bad time control problem” arises when the treatment effect covaries with the factor variation. Researchers often control for factor structures by using: (i) unit time trends, (ii) pre-treatment covariates interacted with a time trend and (iii) group-time dummies. We show that all these methods suffer from the bad time control problem and/or omitted factor bias. We propose two solutions to the bad time control problem. To evaluate the relevance of the factor structure we study US housing returns. Adding macroeconomic factors shows that factors have additional explanatory power and estimated factor loadings differ systematically across geographic areas. This results in substantially altered treatment effects.
Free access at DOI
Digital Object Identifier 10.2139/ssrn.4495214
Other Identification Number merlin-id:24298
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Keywords Difference-in-differences, Factor models, House prices