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The Discounted Euler Equation: A Note

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  • Alisdair McKay
  • Emi Nakamura
  • Jón Steinsson

Abstract

We present a simple model with income risk and borrowing constraints which yields a “discounted Euler equation.” This feature of the model mutes the extent to which news about far future real interest rates (i.e., forward guidance) affects current outcomes. We show that this simple model approximates the outcomes of a rich model with uninsurable income risk and borrowing constraints in response to a forward guidance shock. The model is simple enough to be easily incorporated into standard DSGE models. We illustrate this with an application to the zero lower bound.
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Suggested Citation

  • Alisdair McKay & Emi Nakamura & Jón Steinsson, 2017. "The Discounted Euler Equation: A Note," Economica, London School of Economics and Political Science, vol. 84(336), pages 820-831, October.
    • Handle: RePEc:bla:econom:v:84:y:2017:i:336:p:820-831
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    More about this item

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • 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

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