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Staying at zero with affine processes : an application to term structure modelling

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  • Alain Monfort
  • Fulvio Pegoraro
  • Jean-Paul Renne
  • Guillaume Roussellet

Abstract

The recent financial crises observed in the United States, the United Kingdom and the euro area have led their respective central banks to bring policy rates down to unprecedented low levels, with an associated dramatic drop of their yield curves. Short term rates have remained at their lower bound for extended periods of time while longer term rates have fluctuated with relatively high volatilities. This paper describes a new class of non-negative affine term structure models introduced by Monfort et al. (2017) and used to replicate these features of the yield curve. The proposed empirical analysis also suggests that ignoring interest rate risk premia implies a substantial underestimation of the length of the zero lower bound regime.

Suggested Citation

  • Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2017. "Staying at zero with affine processes : an application to term structure modelling," Rue de la Banque, Banque de France, issue 52, november.
  • Handle: RePEc:bfr:rueban:2017:52
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    Cited by:

    1. Richhild Moessner, 2018. "Effects of asset purchases and financial stability measures on term premia in the euro area," Applied Economics, Taylor & Francis Journals, vol. 50(43), pages 4617-4631, September.
    2. Martin M. Andreasen & Andrew C. Meldrum, 2018. "A Shadow Rate or a Quadratic Policy Rule? The Best Way to Enforce the Zero Lower Bound in the United States," Finance and Economics Discussion Series 2018-056, Board of Governors of the Federal Reserve System (U.S.).
    3. Andrea Carriero & Sarah Mouabbi & Elisabetta Vangelista, 2018. "UK term structure decompositions at the zero lower bound," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(5), pages 643-661, August.
    4. Gouriéroux Christian & Monfort Alain & Mouabbi Sarah & Renne Jean-Paul, 2020. "Disastrous Defaults," Working papers 778, Banque de France.
    5. Olesya Grishchenko & Sarah Mouabbi & Jean‐Paul Renne, 2019. "Measuring Inflation Anchoring and Uncertainty: A U.S. and Euro Area Comparison," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(5), pages 1053-1096, August.
    6. Sébastien Fries & Jean‐Stéphane Mésonnier & Sarah Mouabbi & Jean‐Paul Renne, 2018. "National natural rates of interest and the single monetary policy in the euro area," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(6), pages 763-779, September.
    7. Bruno Feunou & Cédric Okou, 2018. "Risk‐neutral moment‐based estimation of affine option pricing models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 1007-1025, November.
    8. King, Thomas B., 2019. "Expectation and duration at the effective lower bound," Journal of Financial Economics, Elsevier, vol. 134(3), pages 736-760.
    9. Etienne Vaccaro-Grange, 2019. "Quantitative Easing and the Term Premium as a Monetary Policy Instrument," AMSE Working Papers 1932, Aix-Marseille School of Economics, France.
    10. Engle, Robert & Roussellet, Guillaume & Siriwardane, Emil, 2017. "Scenario generation for long run interest rate risk assessment," Journal of Econometrics, Elsevier, vol. 201(2), pages 333-347.
    11. Monfort, Alain & Pegoraro, Fulvio & Renne, Jean-Paul & Roussellet, Guillaume, 2017. "Staying at zero with affine processes: An application to term structure modelling," Journal of Econometrics, Elsevier, vol. 201(2), pages 348-366.
    12. Bruna, Karel & Tran, Quang Van, 2020. "The central banks’ ability to control variability of money market interest rates: The case of inflation targeting countries," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 384-402.
    13. Andreasen, Martin M & Meldrum, Andrew, 2015. "Dynamic term structure models: the best way to enforce the zero lower bound in the United States," Bank of England working papers 550, Bank of England.
    14. Lemke, Wolfgang & Vladu, Andreea, 2015. "A Shadow-Rate Term Structure Model for the Euro Area," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113159, Verein für Socialpolitik / German Economic Association.
    15. Marcello Pericoli & Marco Taboga, 2018. "Nearly exact Bayesian estimation of non-linear no-arbitrage term structure models," Temi di discussione (Economic working papers) 1189, Bank of Italy, Economic Research and International Relations Area.
    16. Patrick Augustin & Mikhail Chernov & Dongho Song, 2018. "Sovereign Credit Risk and Exchange Rates: Evidence from CDS Quanto Spreads," NBER Working Papers 24506, National Bureau of Economic Research, Inc.
    17. S. Mouabbi, 2014. "An arbitrage-free Nelson-Siegel term structure model with stochastic volatility for the determination of currency risk premia," Working papers 527, Banque de France.
    18. Martin M. Andreasen & Andrew Meldrum, 2014. "Dynamic term structure models: The best way to enforce the zero lower bound," CREATES Research Papers 2014-47, Department of Economics and Business Economics, Aarhus University.
    19. Marcello Pericoli & Marco Taboga, 2015. "Understanding policy rates at the zero lower bound: insights from a Bayesian shadow rate model," Temi di discussione (Economic working papers) 1023, Bank of Italy, Economic Research and International Relations Area.
    20. Hans Dewachter & Leonardo Iania & Jean-Charles Wijnandts, 2016. "The response of euro area sovereign spreads to the ECB unconventional monetary policies," Working Paper Research 309, National Bank of Belgium.
    21. Eric McCoy, 2019. "A Calibration of the Term Premia to the Euro Area," European Economy - Discussion Papers 2015 - 110, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    22. Benjamin H Cohen & Peter Hördahl & Dora Xia, 2018. "Term premia: models and some stylised facts," BIS Quarterly Review, Bank for International Settlements, March.
    23. Januj Amar Juneja, 2021. "How do invariant transformations affect the calibration and optimization of the Kalman filtering algorithm used in the estimation of continuous-time affine term structure models?," Computational Management Science, Springer, vol. 18(1), pages 73-97, January.

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    JEL classification:

    • 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

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