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Implicit quantile preferences of the Fed and the Taylor rule

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  • Gabriel Montes-Rojas
  • Fernando Toledo
  • Nicol'as Bertholet
  • Kevin Corfield

Abstract

We study optimal monetary policy when a central bank maximizes a quantile utility objective rather than expected utility. In our framework, the central bank's risk attitude is indexed by the quantile index level, providing a transparent mapping between hawkish/dovish stances and attention to adverse macroeconomic realizations. We formulate the infinite-horizon problem using a Bellman equation with the quantile operator. Implementing an Euler-equation approach, we derive Taylor-rule-type reaction functions. Using an indirect inference approach, we derive a central bank risk aversion implicit quantile index. An empirical implementation for the US is outlined based on reduced-form laws of motion with conditional heteroskedasticity, enabling estimation of the new monetary policy rule and its dependence on the Fed risk attitudes. The results reveal that the Fed has mostly a dovish-type behavior but with some periods of hawkish attitudes.

Suggested Citation

  • Gabriel Montes-Rojas & Fernando Toledo & Nicol'as Bertholet & Kevin Corfield, 2025. "Implicit quantile preferences of the Fed and the Taylor rule," Papers 2510.24362, arXiv.org.
    • Handle: RePEc:arx:papers:2510.24362
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    References listed on IDEAS

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    1. Thanaset Chevapatrakul & Tae‐Hwan Kim & Paul Mizen, 2009. "The Taylor Principle and Monetary Policy Approaching a Zero Bound on Nominal Rates: Quantile Regression Results for the United States and Japan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(8), pages 1705-1723, December.
    2. Wolters, Maik H., 2012. "Estimating monetary policy reaction functions using quantile regressions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 342-361.
    3. Timothy Hills & Taisuke Nakata & Takeki Sunakawa, 2021. "A Promised Value Approach to Optimal Monetary Policy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(1), pages 176-198, February.
    4. Thanaset Chevapatrakul & Juan Paez-Farrell, 2014. "Monetary Policy Reaction Functions in Small Open Economies: a Quantile Regression Approach," Manchester School, University of Manchester, vol. 82(2), pages 237-256, March.
    5. Lars E. O. Svensson, 2003. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 426-477, June.
    6. Jau-er Chen & Masanori Kashiwagi, 2017. "The Japanese Taylor rule estimated using censored quantile regressions," Empirical Economics, Springer, vol. 52(1), pages 357-371, February.
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