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The inverted yield curve in a 3-equation model

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Abstract

The power of an inverted yield curve to predict recessions is widely discussed in the financial press, yet most undergraduate textbooks provide little discussion of this stylized fact. This paper fills this gap by extending a 3-equation textbook model to include an accessible treatment of a term structure of interest rates formed by the one-period policy rate and a two-period rate that obeys the Fisher Equation. The Phillips curve features partially anchored adaptive expectations, while financial markets and the central bank have perfect foresight. Using this framework, we show that raising the policy rate in response to an inflation shock inverts the yield curve. Whether this inversion foreshadows a recession, however, depends on the bank’s monetary policy rule, which we illustrate using numerical examples. In particular, we show that, with anchoring and an output-gap averse central bank, inflation can stabilize and the yield curve can invert without an ensuing recession.

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  • Davis, Leila & Michl, Thomas R., 2024. "The inverted yield curve in a 3-equation model," Working Papers 2024-01, Department of Economics, Colgate University.
    • Handle: RePEc:cgt:wpaper:2024-01
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    More about this item

    JEL classification:

    • A22 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Undergraduate
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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