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A Time Series Model of Interest Rates With the Effective Lower Bound

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Abstract

Modeling interest rates over samples that include the Great Recession requires taking stock of the effective lower bound (ELB) on nominal interest rates. We propose a flexible time? series approach which includes a ?shadow rate??a notional rate that is less than the ELB during the period in which the bound is binding?without imposing no?arbitrage assumptions.{{p}}The approach allows us to estimate the behavior of trend real rates as well as expected future interest rates in recent years.

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  • Benjamin K. Johannsen & Elmar Mertens, 2016. "A Time Series Model of Interest Rates With the Effective Lower Bound," Finance and Economics Discussion Series 2016-033, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2016-33
    DOI: 10.17016/FEDS.2016.033
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    Cited by:

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    2. Holston, Kathryn & Laubach, Thomas & Williams, John C., 2017. "Measuring the natural rate of interest: International trends and determinants," Journal of International Economics, Elsevier, vol. 108(S1), pages 59-75.
    3. Del Negro, Marco & Giannone, Domenico & Giannoni, Marc P. & Tambalotti, Andrea, 2019. "Global trends in interest rates," Journal of International Economics, Elsevier, vol. 118(C), pages 248-262.
    4. Andrea Carriero & Todd E. Clark & Massimiliano Marcellino, 2021. "No‐arbitrage priors, drifting volatilities, and the term structure of interest rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(5), pages 495-516, August.
    5. Rossi, Barbara, 2019. "Identifying and Estimating the Effects of Unconventional Monetary Policy: How to Do It And What Have We Learned?," CEPR Discussion Papers 14064, C.E.P.R. Discussion Papers.
    6. Marco Del Negro & Domenico Giannone & Marc P. Giannoni & Andrea Tambalotti, 2017. "Safety, Liquidity, and the Natural Rate of Interest," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 235-316.
    7. Claus, Edda & Claus, Iris & Krippner, Leo, 2018. "Asset market responses to conventional and unconventional monetary policy shocks in the United States," Journal of Banking & Finance, Elsevier, vol. 97(C), pages 270-282.
    8. Richard K. Crump & Stefano Eusepi & Emanuel Moench & Bruce Preston, 2021. "The Term Structure of Expectations," Staff Reports 992, Federal Reserve Bank of New York.
    9. Guihai Zhao, 2020. "Learning, Equilibrium Trend, Cycle, and Spread in Bond Yields," Staff Working Papers 20-14, Bank of Canada.
    10. Samuel Howorth & Domenico Lombardi & Pierre L. Siklos, 2019. "Together or Apart? Monetary Policy Divergences in the G4," Open Economies Review, Springer, vol. 30(2), pages 191-217, April.
    11. Taeyoung Doh, 2017. "Trend and Uncertainty in the Long-Term Real Interest Rate: Bayesian Exponential Tilting with Survey Data," Research Working Paper RWP 17-8, Federal Reserve Bank of Kansas City.
    12. Krustev, Georgi, 2019. "The natural rate of interest and the financial cycle," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 193-210.
    13. Zhang, Ren & Martínez-García, Enrique & Wynne, Mark A. & Grossman, Valerie, 2021. "Ties that bind: Estimating the natural rate of interest for small open economies," Journal of International Money and Finance, Elsevier, vol. 113(C).
    14. Dennis Bonam & Peter van Els & Jan Willem van den End & Leo de Haan & Irma Hindrayanto, 2018. "The natural rate of interest from a monetary and financial perspective," DNB Occasional Studies 1603, Netherlands Central Bank, Research Department.
    15. Phurichai Rungcharoenkitkul & Fabian Winkler, 2021. "The natural rate of interest through a hall of mirrors," BIS Working Papers 974, Bank for International Settlements.
    16. Albertazzi, Ugo & Martin, Alberto & Assouan, Emmanuelle & Tristani, Oreste & Galati, Gabriele & Vlassopoulos, Thomas & Adolf, Petra & Kok, Christoffer & Altavilla, Carlo & Lewis, Vivien & Andreeva, De, 2021. "The role of financial stability considerations in monetary policy and the interaction with macroprudential policy in the euro area," Occasional Paper Series 272, European Central Bank.
    17. Glick, Reuven, 2020. "r* and the global economy," Journal of International Money and Finance, Elsevier, vol. 102(C).
    18. Callum J. Jones & Mariano Kulish & James Morley, 2021. "A Structural Measure of the Shadow Federal Funds Rate," Finance and Economics Discussion Series 2021-064, Board of Governors of the Federal Reserve System (U.S.).
    19. Fernando M. Duarte & Benjamin K. Johannsen & Leonardo Melosi & Taisuke Nakata, 2020. "Strengthening the FOMC’s Framework in View of the Effective Lower Bound and Some Considerations Related to Time-Inconsistent Strategies," Finance and Economics Discussion Series 2020-067, Board of Governors of the Federal Reserve System (U.S.).
    20. Reinhard Ellwanger, Stephen Snudden, 2021. "Predictability of Aggregated Time Series," LCERPA Working Papers bm0127, Laurier Centre for Economic Research and Policy Analysis.
    21. Yakov Ben-Haim & Jan Willem van den End, 2019. "Fundamental uncertainty about the natural rate of interest: Info-gap as guide for monetary policy," DNB Working Papers 650, Netherlands Central Bank, Research Department.
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    More about this item

    Keywords

    Bayesian Econometrics; Effective Lower Bound; Shadow Rate; State-Space Model; Term Structure of Interest Rates;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications

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