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Estimating the natural rate of interest in a macro-finance yield curve model

Author

Listed:
  • Brand, Claus
  • Goy, Gavin
  • Lemke, Wolfgang

Abstract

Using a novel macro-finance model we infer jointly the equilibrium real interest rate r*, trend inflation, interest rate expectations, and bond risk premia for the United States. In the model r* plays a dual macro-finance role: as the benchmark real interest rate that closes the output gap and as the time-varying long-run real interest rate that determines the level of the yield curve. Our estimated r* declines over the last decade, with estimation uncertainty being relatively contained. We show that both macro and financial information is important to infer r*. Accounting for the secular decline in interest rates renders term premia more stable than those based on stationary yield curve models. A previous version of this paper by the same authors entitled “Natural rate chimera and bond pricing reality” has been published as ECB Working Paper No 2612. JEL Classification: E43, C32, E52, C11, G12

Suggested Citation

  • Brand, Claus & Goy, Gavin & Lemke, Wolfgang, 2025. "Estimating the natural rate of interest in a macro-finance yield curve model," Working Paper Series 3160, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20253160
    Note: 92649
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    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • 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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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