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Threshold Endogeneity in Threshold VARs: An Application to Monetary State Dependence

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Abstract

A new method refines the threshold vector autoregressive model used to study the effects of monetary policy. We contribute a new method for dealing with the problem of endogeneity of the threshold variable in threshold vector auto-regression (TVAR) models. Drawing on copula theory enables us to capture the dependence structure between the threshold variable and the vector of TVAR innovations, independently of the marginal distribution of the threshold variable. A Monte Carlo demonstrates that our method works well, and that ignoring threshold endogeneity leads to biased estimates of the threshold parameter and the variance-covariance error structure, thus invalidating dynamic analysis. As an application, we assess the effects of interest rate shocks on output and inflation: when “expected” inflation exceeds 3.6 percent, the effects of monetary policy are faster and stronger than otherwise.

Suggested Citation

  • Dimitris Christopoulos & Peter McAdam & Elias Tzavalis, 2023. "Threshold Endogeneity in Threshold VARs: An Application to Monetary State Dependence," Research Working Paper RWP 23-09, Federal Reserve Bank of Kansas City.
    • Handle: RePEc:fip:fedkrw:96762
    DOI: 10.18651/RWP2023-09
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    References listed on IDEAS

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    1. Michael D. Bauer & Eric T. Swanson, 2023. "A Reassessment of Monetary Policy Surprises and High-Frequency Identification," NBER Macroeconomics Annual, University of Chicago Press, vol. 37(1), pages 87-155.
    2. Mark Gertler & Peter Karadi, 2015. "Monetary Policy Surprises, Credit Costs, and Economic Activity," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 44-76, January.
    3. Silvia Miranda-Agrippino & Giovanni Ricco, 2021. "The Transmission of Monetary Policy Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 74-107, July.
    4. Christina D. Romer & David H. Romer, 2004. "A New Measure of Monetary Shocks: Derivation and Implications," American Economic Review, American Economic Association, vol. 94(4), pages 1055-1084, September.
    5. Dimitris Politis & Halbert White, 2004. "Automatic Block-Length Selection for the Dependent Bootstrap," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 53-70.
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    More about this item

    Keywords

    VAR models; threshold models; monetary policy;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • 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

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