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A Constrained Dynamic Nelson-Siegel Model for Monetary Policy Analysis

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  • Jamie L. Cross

  • Aubrey Poon

  • Wenying Yao

  • Dan Zhu

Abstract

The Dynamic Nelson-Siegel (DNS) model implies that the instantaneous bond yield is a linear combination of yield curve’s level and slope factors. However, this constraint is not used in practice because it induces a singularity in the state covariance matrix. We show that this problem can be resolved using Bayesian methods. The key idea is to view the state equation as a prior distribution over missing data to obtain a hyperplane truncated multivariate normal conditional posterior distribution for the latent factors. This distribution can then be reparameterized as a conditional multivariate normal distribution given the constraint. Samples from this distribution can be obtained in a direct and computationally efficient manner, thus bypassing the Kalman filter recursions. The empirical significance of the resulting Yield-Macro Constrained DNS (YM-CDNS) model is demonstrated through both a reduced form analysis of the US Treasury yield curve, and a structural analysis of functional conventional and unconventional monetary policy shocks on the yield curve and the broader macroeconomy.

Suggested Citation

  • Jamie L. Cross & Aubrey Poon & Wenying Yao & Dan Zhu, 2024. "A Constrained Dynamic Nelson-Siegel Model for Monetary Policy Analysis," Working Papers No 06/2024, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    • Handle: RePEc:bny:wpaper:0133
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    File URL: https://hdl.handle.net/11250/3153617
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    References listed on IDEAS

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