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Fixed interest rates over finite horizons

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  • Blake, Andrew

    (Bank of England)

Abstract

We consider finite horizon conditioning paths for nominal interest rates in New Keynesian monetary policy models. This is done two ways. First, we develop a simple way to use policy interventions in the form of interest rate shocks to achieve the conditioning path and show this yields a unique solution. We then modify this method to generate an infinity of solutions making the model better behaved but effectively indeterminate. Second, we use two-part rules where a specially designed targeting rule generates fixed interest rates endogenously over the initial period before reverting to a more conventional instrument rule. We show that the two approaches are equivalent. We discuss appropriate selection criteria over the resulting equilibria.

Suggested Citation

  • Blake, Andrew, 2012. "Fixed interest rates over finite horizons," Bank of England working papers 454, Bank of England.
    • Handle: RePEc:boe:boeewp:0454
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    References listed on IDEAS

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    1. Armstrong, John & Black, Richard & Laxton, Douglas & Rose, David, 1998. "A robust method for simulating forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 489-501, April.
    2. Leeper, Eric M. & Zha, Tao, 2003. "Modest policy interventions," Journal of Monetary Economics, Elsevier, vol. 50(8), pages 1673-1700, November.
    3. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    4. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    5. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    6. Daniel F. Waggoner & Tao Zha, 1999. "Conditional Forecasts In Dynamic Multivariate Models," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 639-651, November.
    7. Galí, Jordi, 2011. "Are central banks' projections meaningful?," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 537-550.
    8. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    9. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
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    Cited by:

    1. William T. Gavin & Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "The stimulative effect of forward guidance," Working Papers 2013-38, Federal Reserve Bank of St. Louis.
    2. Bing Tong & Guang Yang, 2020. "A Fixed-Interest-Rate New Keynesian Model of China," CFDS Discussion Paper Series 2020/1, Center for Financial Development and Stability at Henan University, Kaifeng, Henan, China.
    3. Negro, Marco Del & Schorfheide, Frank, 2013. "DSGE Model-Based Forecasting," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 57-140, Elsevier.
    4. Alex Haberis & Richard Harrison & Matt Waldron, 2014. "Transitory interest-rate pegs under imperfect credibility," Discussion Papers 1422, Centre for Macroeconomics (CFM).
    5. Carlstrom, Charles T. & Fuerst, Timothy S. & Paustian, Matthias, 2015. "Inflation and output in New Keynesian models with a transient interest rate peg," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 230-243.
    6. Harrison, Ricahrd, 2014. "Estimating the effects of forward guidance in rational expectations models," LSE Research Online Documents on Economics 86327, London School of Economics and Political Science, LSE Library.
    7. Harrison, Richard, 2015. "Estimating the effects of forward guidance in rational expectations models," European Economic Review, Elsevier, vol. 79(C), pages 196-213.
    8. Bing Tong, 2020. "Capacity Reduction Policy Under the Interest Rate Peg in China," CFDS Discussion Paper Series 2020/2, Center for Financial Development and Stability at Henan University, Kaifeng, Henan, China.
    9. Tong, Bing & Yang, Guang, 2020. "Interest Rate Pegging, Fluctuations, and Fiscal Policy in China," MPRA Paper 100930, University Library of Munich, Germany.
    10. Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2017. "Forward Guidance And The State Of The Economy," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1593-1624, October.
    11. Bing Tong & Guang Yang, 2020. "Interest Rate Pegging, Fluctuations, and Fiscal Policy in China," CFDS Discussion Paper Series 2020/3, Center for Financial Development and Stability at Henan University, Kaifeng, Henan, China.
    12. Yihao Xue & Qiaoyu Liang & Bing Tong, 2022. "The Effects of Energy Supply Shocks and Interest Rate Liberalization in China," CFDS Discussion Paper Series 2022/1, Center for Financial Development and Stability at Henan University, Kaifeng, Henan, China.
    13. Pedro Lutz Ramos & Marcelo Savino Portugal, 2016. "Choques Antecipados De Política Monetária, Forward Guidance E Políticas De Estabilização Macroeconômicas," Anais do XLIII Encontro Nacional de Economia [Proceedings of the 43rd Brazilian Economics Meeting] 043, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    14. Fujiwara, Ippei & Wang, Jiao, 2017. "Optimal monetary policy in open economies revisited," Journal of International Economics, Elsevier, vol. 108(C), pages 300-314.
    15. Tong, Bing, 2021. "The effects of capacity reduction policy under the interest rate peg in China," Journal of Asian Economics, Elsevier, vol. 74(C).
    16. Charles T. Carlstrom & Timothy S. Fuerst & Matthias Paustian, 2012. "How inflationary is an extended period of low interest rates?," Working Papers (Old Series) 1202, Federal Reserve Bank of Cleveland.

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    More about this item

    Keywords

    Fixed nominal interest rates; uniqueness; indeterminacy;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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