IDEAS home Printed from https://ideas.repec.org/p/ecb/ecbwps/20212612.html
   My bibliography  Save this paper

Natural rate chimera and bond pricing reality

Author

Listed:
  • Brand, Claus
  • Goy, Gavin
  • Lemke, Wolfgang

Abstract

We build a novel macro-finance model that combines a semi-structural macroeconomic module with arbitrage-free yield-curve dynamics. We estimate it for the United States and the euro area using a Bayesian approach and jointly infer the real equilibrium interest rate (r*), trend inflation (π*), and term premia. Similar to Bauer and Rudebusch (2020, AER), π* and r* constitute a time-varying trend for the nominal short-term rate in our model, rendering estimated term premia more stable than standard yield curve models operating with time-invariant means. In line with the literature, our r* estimates display a distinct decline over the last four decades. JEL Classification: C11, C32, E43, G12, E44, E52

Suggested Citation

  • Brand, Claus & Goy, Gavin & Lemke, Wolfgang, 2021. "Natural rate chimera and bond pricing reality," Working Paper Series 2612, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20212612
    Note: 92649
    as

    Download full text from publisher

    File URL: https://www.ecb.europa.eu//pub/pdf/scpwps/ecb.wp2612~672f094742.en.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Paul Gomme & B. Ravikumar & Peter Rupert, 2011. "The Return to Capital and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 262-278, April.
    3. Hans Dewachter & Leonardo Iania & Marco Lyrio, 2014. "Information In The Yield Curve: A Macro‐Finance Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(1), pages 42-64, January.
    4. J. David López-Salido & Gerardo Sanz-Maldonado & Carly Schippits & Min Wei, 2020. "Measuring the Natural Rate of Interest: The Role of Inflation Expectations," FEDS Notes 2020-06-19, Board of Governors of the Federal Reserve System (U.S.).
    5. Atif R. Mian & Ludwig Straub & Amir Sufi, 2020. "The Saving Glut of the Rich," NBER Working Papers 26941, National Bureau of Economic Research, Inc.
    6. Ricardo J. Caballero & Emmanuel Farhi & Pierre-Olivier Gourinchas, 2017. "Rents, Technical Change, and Risk Premia Accounting for Secular Trends in Interest Rates, Returns on Capital, Earning Yields, and Factor Shares," American Economic Review, American Economic Association, vol. 107(5), pages 614-620, May.
    7. Martin Kliem & Alexander Meyer‐Gohde, 2022. "(Un)expected monetary policy shocks and term premia," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(3), pages 477-499, April.
    8. Òscar Jordà & Alan M. Taylor, 2019. "Riders on the Storm," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
    9. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
    10. 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.
    11. Lukasz Rachel & Thomas Smith, 2015. "Secular Drivers of the Global Real Interest Rate," Discussion Papers 1605, Centre for Macroeconomics (CFM).
    12. Papetti, Andrea, 2021. "Demographics and the natural real interest Rate: historical and projected paths for the euro area," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    13. Refet S. Gürkaynak & Jonathan H. Wright, 2012. "Macroeconomics and the Term Structure," Journal of Economic Literature, American Economic Association, vol. 50(2), pages 331-367, June.
    14. Canlin Li & Min Wei, 2013. "Term Structure Modeling with Supply Factors and the Federal Reserve's Large-Scale Asset Purchase Progarms," International Journal of Central Banking, International Journal of Central Banking, vol. 9(1), pages 3-39, March.
    15. Pierre-Olivier Gourinchas & Hélène Rey, 2019. "Global real rates: a secular approach," BIS Working Papers 793, Bank for International Settlements.
    16. Neiss, Katharine S. & Nelson, Edward, 2003. "The Real-Interest-Rate Gap As An Inflation Indicator," Macroeconomic Dynamics, Cambridge University Press, vol. 7(2), pages 239-262, April.
    17. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    18. Jens H. E. Christensen & Glenn D. Rudebusch, 2019. "A New Normal for Interest Rates? Evidence from Inflation-Indexed Debt," The Review of Economics and Statistics, MIT Press, vol. 101(5), pages 933-949, December.
    19. Adrian, Tobias & Crump, Richard K. & Moench, Emanuel, 2013. "Pricing the term structure with linear regressions," Journal of Financial Economics, Elsevier, vol. 110(1), pages 110-138.
    20. Dufrénot, Gilles & Rhouzlane, Meryem & Vaccaro-Grange, Etienne, 2022. "Potential growth and natural yield curve in Japan," Journal of International Money and Finance, Elsevier, vol. 124(C).
    21. Michał Brzoza-Brzezina & Jacek Kotłowski, 2014. "Measuring the natural yield curve," Applied Economics, Taylor & Francis Journals, vol. 46(17), pages 2052-2065, June.
    22. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    23. Marco J. Lombardi & Feng Zhu, 2018. "A Shadow Policy Rate to Calibrate U.S. Monetary Policy at the Zero Lower Bound," International Journal of Central Banking, International Journal of Central Banking, vol. 14(5), pages 305-346, December.
    24. Viktors Ajevskis, 2020. "The natural rate of interest: information derived from a shadow rate model," Applied Economics, Taylor & Francis Journals, vol. 52(47), pages 5129-5138, October.
    25. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    26. Gabriele Fiorentini & Alessandro Galesi & Gabriel Pérez-Quirós & Enrique Sentana, 2018. "The rise and fall of the natural interest rate," Working Papers 1822, Banco de España.
    27. John Geweke, 1991. "Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments," Staff Report 148, Federal Reserve Bank of Minneapolis.
    28. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    29. 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.
    30. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    31. Robert Barsky & Alejandro Justiniano & Leonardo Melosi, 2014. "The Natural Rate of Interest and Its Usefulness for Monetary Policy," American Economic Review, American Economic Association, vol. 104(5), pages 37-43, May.
    32. Anna Cieslak & Pavol Povala, 2015. "Expected Returns in Treasury Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 28(10), pages 2859-2901.
    33. Peter K. Clark, 1987. "The Cyclical Component of U. S. Economic Activity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 797-814.
    34. Marcin Bielecki & Michał Brzoza‐Brzezina & Marcin Kolasa, 2023. "Demographics, Monetary Policy, and the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 55(7), pages 1857-1887, October.
    35. Lukasz Rachel & Lawrence H. Summers, 2019. "On Secular Stagnation in the Industrialized World," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 50(1 (Spring), pages 1-76.
    36. Brand, Claus & Mazelis, Falk, 2019. "Taylor-rule consistent estimates of the natural rate of interest," Working Paper Series 2257, European Central Bank.
    37. Atif Mian & Ludwig Straub & Amir Sufi, 2020. "The Saving Glut of the Rich and the Rise in Household Debt," CESifo Working Paper Series 8201, CESifo.
    38. Lael Brainard, 2018. "What Do We Mean by Neutral and What Role Does It Play in Monetary Policy?: a speech at the Detroit Economic Club, Detroit, Michigan," Speech 1011, Board of Governors of the Federal Reserve System (U.S.).
    39. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    40. Emanuel Kopp & Peter D. Williams, 2018. "A Macroeconomic Approach to the Term Premium," IMF Working Papers 2018/140, International Monetary Fund.
    41. Cúrdia, Vasco & Ferrero, Andrea & Ng, Ging Cee & Tambalotti, Andrea, 2015. "Has U.S. monetary policy tracked the efficient interest rate?," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 72-83.
    42. Kozicki, Sharon & Tinsley, P. A., 2001. "Shifting endpoints in the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 613-652, June.
    43. Eric T. Swanson & John C. Williams, 2014. "Measuring the Effect of the Zero Lower Bound on Medium- and Longer-Term Interest Rates," American Economic Review, American Economic Association, vol. 104(10), pages 3154-3185, October.
    44. Neri, Stefano & Gerali, Andrea, 2019. "Natural rates across the Atlantic," Journal of Macroeconomics, Elsevier, vol. 62(C).
    45. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
    46. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    47. Primiceri, Giorgio & Lenza, Michele, 2020. "How to Estimate a VAR after March 2020," CEPR Discussion Papers 15245, C.E.P.R. Discussion Papers.
    48. Farhi, Emmanuel & Gourinchas, Pierre-Olivier & Caballero, Ricardo, 2017. "Rents, Technical Change, and Risk Premia: Accounting for Secular Trends in Interest Rates, Returns to Capital, Earnings Yields," CEPR Discussion Papers 11833, C.E.P.R. Discussion Papers.
    49. Marx, Magali & Mojon, Benoît & Velde, François R., 2021. "Why have interest rates fallen far below the return on capital?," Journal of Monetary Economics, Elsevier, vol. 124(S), pages 57-76.
    50. Thomas Laubach & John C. Williams, 2015. "Measuring the natural rate of interest redux," Working Paper Series 2015-16, Federal Reserve Bank of San Francisco.
    51. Axel A. Weber & Wolfgang Lemke & Andreas Worms, 2008. "How useful is the concept of the natural real rate of interest for monetary policy?," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 32(1), pages 49-63, January.
    52. Jonathan H. Wright, 2011. "Term Premia and Inflation Uncertainty: Empirical Evidence from an International Panel Dataset," American Economic Review, American Economic Association, vol. 101(4), pages 1514-1534, June.
    53. Lemke, Wolfgang & Werner, Thomas, 2020. "Dissecting long-term Bund yields in the run-up to the ECB’s public sector purchase programme," Journal of Banking & Finance, Elsevier, vol. 111(C).
    54. Michael T. Kiley, 2020. "The Global Equilibrium Real Interest Rate: Concepts, Estimates, and Challenges," Annual Review of Financial Economics, Annual Reviews, vol. 12(1), pages 305-326, December.
    55. Kei Imakubo & Haruki Kojima & Jouchi Nakajima, 2018. "The natural yield curve: its concept and measurement," Empirical Economics, Springer, vol. 55(2), pages 551-572, September.
    56. J. Durbin, 2002. "A simple and efficient simulation smoother for state space time series analysis," Biometrika, Biometrika Trust, vol. 89(3), pages 603-616, August.
    57. Don H. Kim & Jonathan H. Wright, 2005. "An arbitrage-free three-factor term structure model and the recent behavior of long-term yields and distant-horizon forward rates," Finance and Economics Discussion Series 2005-33, Board of Governors of the Federal Reserve System (U.S.).
    58. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    59. Manuel Gonzalez-Astudillo & Jean-Philippe Laforte, 2020. "Estimates of r* Consistent with a Supply-Side Structure and a Monetary Policy Rule for the U.S. Economy," Finance and Economics Discussion Series 2020-085, Board of Governors of the Federal Reserve System (U.S.).
    60. Brand, Claus & Bielecki, Marcin & Penalver, Adrian, 2018. "The natural rate of interest: estimates, drivers, and challenges to monetary policy JEL Classification: E52, E43," Occasional Paper Series 217, European Central Bank.
    61. Edge, Rochelle M. & Kiley, Michael T. & Laforte, Jean-Philippe, 2008. "Natural rate measures in an estimated DSGE model of the U.S. economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(8), pages 2512-2535, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mark Mink & Rodney Ramcharan & Iman van Lelyveld, 2020. "How Banks Respond to Distress: Shifting Risks in Europe’s Banking Union," Tinbergen Institute Discussion Papers 20-006/IV, Tinbergen Institute.
    2. policy, Work stream on macroprudential & Albertazzi, Ugo & Martin, Alberto & Assouan, Emmanuelle & Tristani, Oreste & Galati, Gabriele & Vlassopoulos, Thomas, 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.
    3. Gregor Boehl & Gavin Goy & Felix Strobel, 2020. "A Structural Investigation of Quantitative Easing," CRC TR 224 Discussion Paper Series crctr224_2020_193, University of Bonn and University of Mannheim, Germany.
    4. Dufrénot, Gilles & Rhouzlane, Meryem & Vaccaro-Grange, Etienne, 2022. "Potential growth and natural yield curve in Japan," Journal of International Money and Finance, Elsevier, vol. 124(C).
    5. NAKAJIMA, Jouchi & SUDO, Nao & HOGEN, Yoshihiko & TAKIZUKA, Yasutaka, 2023. "On the estimation of the natural yield curve," Discussion Paper Series 753, Institute of Economic Research, Hitotsubashi University.
    6. policy, Work stream on macroprudential & Policy, Monetary & Stability, Financial & Albertazzi, Ugo & Martin, Alberto & Assouan, Emmanuelle & Tristani, Oreste & Galati, Gabriele & Vlassopoulos, Thomas , 2023. "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.
    7. Mark Mink & Rodney Ramcharan & Iman van Lelyveld, 2020. "How banks respond to distress: Shifting risks in Europe's banking union," Working Papers 669, DNB.
    8. Xia, Ying & Chen, Muyang, 2023. "The Janus face of stateness: China's development-oriented equity investments in Africa," World Development, Elsevier, vol. 162(C).
    9. Schupp, Fabian, 2020. "The (ir)relevance of the nominal lower bound for real yield curve analysis," Working Paper Series 2476, European Central Bank.
    10. Mongelli, Francesco Paolo & Pointner, Wolfgang & van den End, Jan Willem, 2022. "The effects of climate change on the natural rate of interest: a critical survey," Working Paper Series 2744, European Central Bank.
    11. Claudio Borio, 2021. "Navigating by r*: safe or hazardous?," BIS Working Papers 982, Bank for International Settlements.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Brand, Claus & Goy, Gavin W & Lemke, Wolfgang, 2020. "Natural rate chimera and bond pricing reality," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224546, Verein für Socialpolitik / German Economic Association.
    2. Michael D. Bauer & Glenn D. Rudebusch, 2020. "Interest Rates under Falling Stars," American Economic Review, American Economic Association, vol. 110(5), pages 1316-1354, May.
    3. Brand, Claus & Bielecki, Marcin & Penalver, Adrian, 2018. "The natural rate of interest: estimates, drivers, and challenges to monetary policy JEL Classification: E52, E43," Occasional Paper Series 217, European Central Bank.
    4. Taylor, Alan M. & Davis, Josh & Fuenzalida, Cristian, 2019. "The Natural Rate Puzzle: Global Macro Trends and the Market-Implied r," CEPR Discussion Papers 14201, C.E.P.R. Discussion Papers.
    5. Doshi, Hitesh & Jacobs, Kris & Liu, Rui, 2018. "Macroeconomic determinants of the term structure: Long-run and short-run dynamics," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 99-122.
    6. Michael D. Bauer & Glenn D. Rudebusch, 2023. "The Rising Cost of Climate Change: Evidence from the Bond Market," The Review of Economics and Statistics, MIT Press, vol. 105(5), pages 1255-1270, September.
    7. Brand, Claus & Mazelis, Falk, 2019. "Taylor-rule consistent estimates of the natural rate of interest," Working Paper Series 2257, European Central Bank.
    8. Richard K. Crump & Stefano Eusepi & Emanuel Moench, 2016. "The term structure of expectations and bond yields," Staff Reports 775, 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. 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.
    11. Sophocles N. Brissimis & Evangelia A. Georgiou, 2022. "The effects of Federal Reserve's quantitative easing and balance sheet normalization policies on long-term interest rates," Working Papers 299, Bank of Greece.
    12. Luis Ceballos & Alberto Naudon & Damián Romero, 2016. "Nominal term structure and term premia: evidence from Chile," Applied Economics, Taylor & Francis Journals, vol. 48(29), pages 2721-2735, June.
    13. Robert C. M. Beyer & Lazar Milivojevic, 2023. "Dynamics and synchronization of global equilibrium interest rates," Applied Economics, Taylor & Francis Journals, vol. 55(28), pages 3195-3214, June.
    14. 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.
    15. Berardi, Andrea & Plazzi, Alberto, 2022. "Dissecting the yield curve: The international evidence," Journal of Banking & Finance, Elsevier, vol. 134(C).
    16. Papetti, Andrea, 2021. "Demographics and the natural real interest Rate: historical and projected paths for the euro area," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    17. Carrillo Julio A. & Elizondo Rocío & Rodríguez-Pérez Cid Alonso & Roldán-Peña Jessica, 2018. "What Determines the Neutral Rate of Interest in an Emerging Economy?," Working Papers 2018-22, Banco de México.
    18. Neri, Stefano & Gerali, Andrea, 2019. "Natural rates across the Atlantic," Journal of Macroeconomics, Elsevier, vol. 62(C).
    19. Jens H. E. Christensen & Glenn D. Rudebusch, 2019. "A New Normal for Interest Rates? Evidence from Inflation-Indexed Debt," The Review of Economics and Statistics, MIT Press, vol. 101(5), pages 933-949, December.
    20. Kučera, Adam, 2020. "Identification of triggers of U.S. yield curve movements," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

    More about this item

    Keywords

    arbitrage-free Nelson-Siegel term structure model; Bayesian estimation; equilibrium real rate; natural rate of interest; r*; term premia; unobserved components;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • 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
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ecb:ecbwps:20212612. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Official Publications (email available below). General contact details of provider: https://edirc.repec.org/data/emieude.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.