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Estimating monetary policy rules when the zero lower bound on nominal interest rates is approached

  • Konstantin Kiesel
  • Maik Wolters

Monetary policy rule parameters estimated with conventional estimation techniques can be severely biased if the estimation sample includes periods of low interest rates. Nominal interest rates cannot be negative, so that censored regression methods like Tobit estimation have to be used to achieve unbiased estimates. We use IV-Tobit regression to estimate monetary policy responses for Japan, the US and the Euro area. The estimation results show that the bias of conventional estimation methods is sizeable for the inflation response parameter, while it is very small for the output gap response and the interest rate smoothing parameter. We demonstrate how IV-Tobit estimation can be used to study how policy responses change when the zero lower bound is approached. Further, we show how one can use the IV-Tobit approach to distinguish between desired policy responses, that the central bank would implement if there was no zero lower bound, and the actual ones and provide estimates of both

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File URL: https://www.ifw-members.ifw-kiel.de/publications/estimating-monetary-policy-rules-when-the-zero-lower-bound-on-nominal-interest-rates-is-approached/KWP_1898.pdf
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Paper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number 1898.

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Length: 24 pages
Date of creation: Jan 2014
Date of revision:
Handle: RePEc:kie:kieliw:1898
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  1. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1997. "Monetary Policy Rules in Practice: Some International Evidence," CEPR Discussion Papers 1750, C.E.P.R. Discussion Papers.
  2. Stefan Gerlach & John Lewis, 2014. "Zero lower bound, ECB interest rate policy and the financial crisis," Empirical Economics, Springer, vol. 46(3), pages 865-886, May.
  3. Klaus Adam & Roberto M. Billi, 2005. "Optimal monetary policy under commitment with a zero bound on nominal interest rates," Research Working Paper RWP 05-07, Federal Reserve Bank of Kansas City.
  4. Athanasios Orphanides & Volker Wieland, 2008. "Economic Projections and Rules-of-Thumb for Monetary Policy," Discussion Papers 07-035, Stanford Institute for Economic Policy Research.
  5. 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.
  6. Gerlach, Stefan, 2011. "ECB repo rate setting during the financial crisis," Economics Letters, Elsevier, vol. 112(2), pages 186-188, August.
  7. Kuttner, Kenneth N. & Posen, Adam S., 2004. "The difficulty of discerning what's too tight: Taylor rules and Japanese monetary policy," The North American Journal of Economics and Finance, Elsevier, vol. 15(1), pages 53-74, March.
  8. Wolters, Maik H., 2012. "Estimating monetary policy reaction functions using quantile regressions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 342-361.
  9. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," CEPR Discussion Papers 1908, C.E.P.R. Discussion Papers.
  10. Orphanides, Athanasios & Wieland, Volker, 2000. "Efficient Monetary Policy Design near Price Stability," Journal of the Japanese and International Economies, Elsevier, vol. 14(4), pages 327-365, December.
  11. Kato, Ryo & Nishiyama, Shin-Ichi, 2005. "Optimal monetary policy when interest rates are bounded at zero," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 97-133, January.
  12. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
  13. Jeffrey M. Wooldridge, 2001. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262232197, June.
  14. Oda, Nobuyuki & Nagahata, Takashi, 2008. "On the function of the zero interest rate commitment: Monetary policy rules in the presence of the zero lower bound on interest rates," Journal of the Japanese and International Economies, Elsevier, vol. 22(1), pages 34-67, March.
  15. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  16. Kim, Tae-Hwan & Mizen, Paul, 2010. "Estimating monetary reaction functions at near zero interest rates," Economics Letters, Elsevier, vol. 106(1), pages 57-60, January.
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