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(Un)naturally Low? Sequential Monte Carlo Tracking of the US Natural Interest Rate

  • Marco Lombardi
  • Silvia Sgherri

Following the 2000 stockmarket crash, have US interest rates been held "too low" in relation to their natural level? Most likely, yes. Using a structural model, this paper attempts a real-time assessment of the US monetary policy while ensuring consistency between the specification of price adjustments and the evolution of the economy under flexible prices. To do this, the model's likelihood function is evaluated using particle filtering, allowing for sequential inference about the time-varying distribution of structural parameters and unobservable, nonstationary state variables. Accounting for real-time expectations and time variation in underlying equilibrium levels is found crucial (i) to explain postwar Fed's policy and (ii) to replicate salient features of the data.

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Paper provided by Netherlands Central Bank, Research Department in its series DNB Working Papers with number 142.

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Date of creation: Jun 2007
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Handle: RePEc:dnb:dnbwpp:142
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  1. McCallum, Bennett T., 1998. "Stickiness: A comment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 49(1), pages 357-363, December.
  2. Christopher A. Sims & Tao Zha, 2004. "Were there regime switches in U.S. monetary policy?," FRB Atlanta Working Paper 2004-14, Federal Reserve Bank of Atlanta.
  3. Bennett T. McCallum & Edward Nelson, 1998. "Performance of operational policy rules in an estimated semi-classical structural model," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  4. Fabio Canova & Luca Sala, 2007. "Back to square one: identification issues in DSGE models," Banco de Espa�a Working Papers 0715, Banco de Espa�a.
  5. Amisano, Gianni & Tristani, Oreste, 2007. "Euro area inflation persistence in an estimated nonlinear DSGE model," Working Paper Series 0754, European Central Bank.
  6. Yongsung Chang & Taeyoung Doh & Frank Schorfheide, 2006. "Non-stationary hours in a DSGE model," Working Papers 06-3, Federal Reserve Bank of Philadelphia.
  7. Smets, Frank & Wouters, Raf, 2004. "Forecasting with a Bayesian DSGE model: an application to the euro area," Working Paper Series 0389, European Central Bank.
  8. Bayoumi, Tamim & Sgherri, Silvia, 2004. "Monetary Magic? How the Fed Improved the Flexibility of the Economy," CEPR Discussion Papers 4696, C.E.P.R. Discussion Papers.
  9. Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," Departmental Working Papers 200106, Rutgers University, Department of Economics.
  10. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Inflation Targeting Rules," NBER Working Papers 9939, National Bureau of Economic Research, Inc.
  11. Gomme, Paul & Klein, Paul, 2011. "Second-order approximation of dynamic models without the use of tensors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 604-615, April.
  12. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
  13. Jean Boivin & Marc P. Giannoni, 2003. "Has Monetary Policy Become More Effective?," NBER Working Papers 9459, National Bureau of Economic Research, Inc.
  14. Athanasios Orphanides & John C. Williams, 2006. "Inflation targeting under imperfect knowledge," Working Paper Series 2006-14, Federal Reserve Bank of San Francisco.
  15. Julien Garnier & Bjørn-Roger Wilhelmsen, 2005. "The natural real interest rate and the output gap in the euro area: A joint estimation," Working Paper 2005/14, Norges Bank.
  16. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy Under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312 National Bureau of Economic Research, Inc.
  17. Jesús Cuaresma & Ernest Gnan & Doris Ritzberger-Gruenwald, 2004. "Searching for the natural rate of interest: a euro area perspective," Empirica, Springer, vol. 31(2), pages 185-204, June.
  18. Smets, Frank & Wouters, Raf, 2004. "Comparing shocks and frictions in US and euro area business cycles: a Bayesian DSGE approach," Working Paper Series 0391, European Central Bank.
  19. repec:oup:qjecon:v:115:y:2000:i:1:p:147-180 is not listed on IDEAS
  20. Thomas Laubach, 2001. "Measuring The NAIRU: Evidence From Seven Economies," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 218-231, May.
  21. Andrés, Javier & López-Salido, J David & Nelson, Edward, 2004. "Money and the Natural Rate of Interest: Structural Estimates for the UK, the US and the euro area," CEPR Discussion Papers 4337, C.E.P.R. Discussion Papers.
  22. Guido Ascari, 2004. "Staggered Prices and Trend Inflation: Some Nuisances," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 642-667, July.
  23. Javier Andrés & David López-Salido & Edward Nelson, 2005. "Sticky-Price Models and the Natural Rate Hypothesis," Banco de Espa�a Working Papers 0521, Banco de Espa�a.
  24. Marco Del Negro & Frank Schorfheide & Frank Smets & Raf Wouters, 2004. "On the fit and forecasting performance of New Keynesian models," FRB Atlanta Working Paper 2004-37, Federal Reserve Bank of Atlanta.
  25. Lawrence J. Christiano, 1998. "Solving dynamic equilibrium models by a method of undetermined coefficients," Working Paper 9804, Federal Reserve Bank of Cleveland.
  26. Katharine S. Neiss and Edward Nelson, 2001. "The Real Interest Rate Gap as an Inflation Indicator," Computing in Economics and Finance 2001 145, Society for Computational Economics.
  27. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  28. Peter N. Ireland, 2005. "Changes in the Federal Reserve's inflation target: causes and consequences," Working Papers 05-13, Federal Reserve Bank of Boston.
  29. Marco J. Lombardi & Simon J. Godsill, 2004. "On-line Bayesian estimation of AR signals in symmetric alpha-stable noise," Econometrics Working Papers Archive wp2004_05, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
  30. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
  31. Julio J. Rotemberg & Michael Woodford, 1998. "Interest-Rate Rules in an Estimated Sticky Price Model," NBER Working Papers 6618, National Bureau of Economic Research, Inc.
  32. Thomas Laubach and John C. Williams, 2001. "Measuring the Natural Rate of Interest," Computing in Economics and Finance 2001 35, Society for Computational Economics.
  33. Roger E. A. Farmer & Andreas Beyer, 2004. "On the Indeterminacy of New Keynesian Economics," 2004 Meeting Papers 187, Society for Economic Dynamics.
  34. Thomas A. Lubik & Paolo Surico, 2010. "The Lucas critique and the stability of empirical models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 177-194.
  35. An, Sungbae & Schorfheide, Frank, 2005. "Bayesian Analysis of DSGE Models," CEPR Discussion Papers 5207, C.E.P.R. Discussion Papers.
  36. Marta Manrique & José Manuel Marqués, 2004. "An empirical approximation of the natural rate of interest and potential growth," Banco de Espa�a Working Papers 0416, Banco de Espa�a.
  37. Giammarioli, Nicola & Valla, Natacha, 2003. "The natural real rate of interest in the euro area," Working Paper Series 0233, European Central Bank.
  38. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
  39. Fabio Milani, 2005. "Adaptive Learning and Inflation Persistence," Macroeconomics 0506013, EconWPA.
  40. Fernandez-Villaverde, Jesus & Francisco Rubio-Ramirez, Juan, 2004. "Comparing dynamic equilibrium models to data: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 123(1), pages 153-187, November.
  41. repec:oup:restud:v:65:y:1998:i:3:p:361-93 is not listed on IDEAS
  42. Smith, A A, Jr, 1993. "Estimating Nonlinear Time-Series Models Using Simulated Vector Autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S63-84, Suppl. De.
  43. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  44. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  45. Jesús Cuaresma & Ernest Gnan & Doris Ritzberger-Gruenwald, 2004. "Searching for the natural rate of interest: a euro area perspective," Economic Change and Restructuring, Springer, vol. 31(2), pages 185-204, June.
  46. Luca Benati, 2004. "Monetary Rules, Indeterminacy, and the Business-Cycle Stylised Facts," Computing in Economics and Finance 2004 83, Society for Computational Economics.
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