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Avoiding Unintentionally Correlated Shocks in Proxy Vector Autoregressive Analysis

Author

Listed:
  • Martin Bruns

    (School of Economics, University of East Anglia)

  • Helmut Lutkepohl

    (DIW Berlin and Freie Universitat Berlin)

  • James McNeil

    (Dalhousie University)

Abstract

The shocks in structural vector autoregressive (VAR) analysis are typically assumed to be instantaneously uncorrelated. This condition may easily be violated in proxy VAR models if more than one shock is identified by a proxy variable. Correlated shocks may be obtained even if the proxies are uncorrelated and satisfy the usual relevance and exogeneity conditions individually. Examples from the recent proxy VAR literature are presented. It is shown that assuming uncorrelated proxies that satisfy the usual relevance and exogeneity conditions individually actually over-identifies the shocks of interest and a Generalized Method of Moments (GMM) algorithm is proposed that ensures orthogonal shocks and provides efficient estimators of the structural parameters. It generalizes an earlier GMM proposal that works only if at least K-1 shocks are identified by proxies in a VAR with K variables.

Suggested Citation

  • Martin Bruns & Helmut Lutkepohl & James McNeil, 2024. "Avoiding Unintentionally Correlated Shocks in Proxy Vector Autoregressive Analysis," University of East Anglia School of Economics Working Paper Series 2024-05, School of Economics, University of East Anglia, Norwich, UK..
    • Handle: RePEc:uea:ueaeco:2024-05
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    Keywords

    Structural vector autoregression; proxy VAR; external instruments; correlated shocks; Generalized Method of Moments;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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