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Historical Instruments and Contemporary Endogenous Regressors

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Abstract

We provide a simple framework for interpreting instrumental variable regressions when there is a gap in time between the impact of the instrument and the measurement of the endogenous variable, highlighting a particular violation of the exclusion restriction that can arise in this setting. In the presence of this violation, conventional IV regressions do not consistently estimate a structural parameter of interest. Building on our framework, we develop a simple empirical method to estimate the long-run effect of the endogenous variable. We use our bias correction method to examine the role of institutions in economic development, following Acemoglu et al. (2001). We find long-run coefficients that are smaller than the coefficients from the original work, demonstrating the quantitative importance of our framework.

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  • Gregory Casey & Marc Klemp, 2021. "Historical Instruments and Contemporary Endogenous Regressors," Department of Economics Working Papers 2021-02, Department of Economics, Williams College.
    • Handle: RePEc:wil:wileco:2021-02
    DOI: 10.36934/wecon:2021-02
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    Keywords

    Long-Run Economic Development; Instrumental Variable Regression;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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