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Term Structure Analysis with Big Data: One-Step Estimation Using Bond Prices

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  • Andreasen, Martin M.
  • Christensen, Jens H.E.
  • Rudebusch, Glenn D.

Abstract

Nearly all studies that analyze the term structure of interest rates take a two-step approach. First, actual bond prices are summarized by interpolated synthetic zero-coupon yields, and second, some of these yields are used as the source data for further empirical examination. In contrast, we consider the advantages of a one-step approach that directly analyzes the universe of bond prices. To illustrate the feasibility and desirability of the one-step approach, we compare arbitrage-free dynamic term structure models estimated using both approaches. We also provide a simulation study showing that a one-step approach can extract the information in large panels of bond prices and avoid any arbitrary noise introduced from a first-stage interpolation of yields.

Suggested Citation

  • Andreasen, Martin M. & Christensen, Jens H.E. & Rudebusch, Glenn D., 2019. "Term Structure Analysis with Big Data: One-Step Estimation Using Bond Prices," Journal of Econometrics, Elsevier, vol. 212(1), pages 26-46.
  • Handle: RePEc:eee:econom:v:212:y:2019:i:1:p:26-46
    DOI: 10.1016/j.jeconom.2019.04.019
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    as
    1. 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.
    2. Jens H. E. Christensen & Glenn D. Rudebusch, 2016. "Modeling Yields at the Zero Lower Bound: Are Shadow Rates the Solution?," Advances in Econometrics, in: Dynamic Factor Models, volume 35, pages 75-125, Emerald Group Publishing Limited.
    3. Jean-Sébastien Fontaine & René Garcia, 2012. "Bond Liquidity Premia," The Review of Financial Studies, Society for Financial Studies, vol. 25(4), pages 1207-1254.
    4. Jens H. E. Christensen & Francis X. Diebold & Glenn D. Rudebusch, 2009. "An arbitrage-free generalized Nelson--Siegel term structure model," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 33-64, November.
    5. Damir Filipovi'c & Sander Willems, 2016. "Exact Smooth Term-Structure Estimation," Papers 1606.03899, arXiv.org, revised Aug 2018.
    6. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    7. Antonio Diez de Los Rios, 2015. "A New Linear Estimator for Gaussian Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(2), pages 282-295, April.
    8. Michael D. Bauer & Glenn D. Rudebusch & Jing Cynthia Wu, 2012. "Correcting Estimation Bias in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 454-467, April.
    9. Tomas Björk & Bent Jesper Christensen, 1999. "Interest Rate Dynamics and Consistent Forward Rate Curves," Mathematical Finance, Wiley Blackwell, vol. 9(4), pages 323-348, October.
    10. Gurkaynak, Refet S. & Sack, Brian & Wright, Jonathan H., 2007. "The U.S. Treasury yield curve: 1961 to the present," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2291-2304, November.
    11. Richard Finlay & Sebastian Wende, 2012. "Estimating Inflation Expectations with a Limited Number of Inflation-Indexed Bonds," International Journal of Central Banking, International Journal of Central Banking, vol. 8(2), pages 111-142, June.
    12. 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.
    13. Faria, Adriano & Almeida, Caio, 2018. "A hybrid spline-based parametric model for the yield curve," Journal of Economic Dynamics and Control, Elsevier, vol. 86(C), pages 72-94.
    14. Fama, Eugene F., 1976. "Forward rates as predictors of future spot rates," Journal of Financial Economics, Elsevier, vol. 3(4), pages 361-377, October.
    15. Grace Xing Hu & Jun Pan & Jiang Wang, 2013. "Noise as Information for Illiquidity," Journal of Finance, American Finance Association, vol. 68(6), pages 2341-2382, December.
    16. Jens H. E. Christensen & Glenn D. Rudebusch, 2015. "Estimating Shadow-Rate Term Structure Models with Near-Zero Yields," Journal of Financial Econometrics, Oxford University Press, vol. 13(2), pages 226-259.
    17. James M. Steeley, 2008. "Testing Term Structure Estimation Methods: Evidence from the UK STRIPS Market," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(7), pages 1489-1512, October.
    18. Jens H E Christensen & Signe Krogstrup, 2019. "Transmission of Quantitative Easing: The Role of Central Bank Reserves," The Economic Journal, Royal Economic Society, vol. 129(617), pages 249-272.
    19. Leo Krippner, 2013. "A tractable framework for zero lower bound Gaussian term structure models," Reserve Bank of New Zealand Discussion Paper Series DP2013/02, Reserve Bank of New Zealand.
    20. 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.
    21. Martin M. Andreasen & Jens H.E. Christensen & Simon Riddell, 2017. "The TIPS Liquidity Premium," CREATES Research Papers 2017-27, Department of Economics and Business Economics, Aarhus University.
    22. David Bolder & Grahame Johnson & Adam Metzler, 2004. "An Empirical Analysis of the Canadian Term Structure of Zero-Coupon Interest Rates," Staff Working Papers 04-48, Bank of Canada.
    23. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    24. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, February.
    25. Refet S. Gürkaynak & Brian Sack & Jonathan H. Wright, 2010. "The TIPS Yield Curve and Inflation Compensation," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 70-92, January.
    26. 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.
    27. Kim, Don H. & Singleton, Kenneth J., 2012. "Term structure models and the zero bound: An empirical investigation of Japanese yields," Journal of Econometrics, Elsevier, vol. 170(1), pages 32-49.
    28. Andreasen, Martin M. & Christensen, Bent Jesper, 2015. "The SR approach: A new estimation procedure for non-linear and non-Gaussian dynamic term structure models," Journal of Econometrics, Elsevier, vol. 184(2), pages 420-451.
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    Cited by:

    1. Jens H. E. Christensen & Jose A. Lopez & Paul L. Mussche, 2022. "Extrapolating Long-Maturity Bond Yields for Financial Risk Measurement," Management Science, INFORMS, vol. 68(11), pages 8286-8300, November.
    2. Christensen, Jens H. E. & Mirkov, Nikola & Zhang, Xin, 2024. "Quantitative Easing and the Supply of Safe Assets: Evidence from International Bond Safety Premia," Working Paper Series 440, Sveriges Riksbank (Central Bank of Sweden).
    3. Speck, Christian, 2023. "Pricing the Bund term structure with linear regressions – without an observable short rate," Discussion Papers 08/2023, Deutsche Bundesbank.
    4. Jens H. E. Christensen & Eric Fischer & Patrick Shultz, 2019. "Bond Flows and Liquidity: Do Foreigners Matter?," Working Paper Series 2019-08, Federal Reserve Bank of San Francisco.
    5. Christensen, Jens H.E. & Lopez, Jose A. & Mussche, Paul L., 2024. "International evidence on extending sovereign debt maturities," Journal of International Money and Finance, Elsevier, vol. 141(C).
    6. Christensen, Jens H.E. & Spiegel, Mark M., 2023. "Central bank credibility during COVID-19: Evidence from Japan," Journal of International Money and Finance, Elsevier, vol. 131(C).
    7. Liu, Yan & Wu, Jing Cynthia, 2021. "Reconstructing the yield curve," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1395-1425.
    8. Christensen, Jens H. E. & Zhang, Xin, 2024. "Quantitative Easing, Bond Risk Premia and the Exchange Rate in a Small Open Economy," Working Paper Series 434, Sveriges Riksbank (Central Bank of Sweden).
    9. Castro-Iragorri, C & Ramírez, J, 2021. "Forecasting Dynamic Term Structure Models with Autoencoders," Documentos de Trabajo 19431, Universidad del Rosario.
    10. Jens H. E. Christensen & Xin Zhang, 2024. "Quantitative Easing, Bond Risk Premia and the Exchange Rate in a Small Open Economy," Working Paper Series 2024-13, Federal Reserve Bank of San Francisco.
    11. Carlos Castro-Iragorri & Juan Felipe Peña & Cristhian Rodríguez, 2021. "A Segmented and Observable Yield Curve for Colombia," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 10(2), pages 179-200.
    12. Jens H. E. Christensen & Simon Thinggaard Hetland, 2023. "Passive Quantitative Easing: Bond Supply Effects through a Halt to Debt Issuance," Working Paper Series 2023-24, Federal Reserve Bank of San Francisco.
    13. Remy Beauregard & Jens H. E. Christensen & Eric Fischer & Simon Zhu, 2021. "Inflation Expectations and Risk Premia in Emerging Bond Markets: Evidence from Mexico," Staff Reports 961, Federal Reserve Bank of New York.
    14. Christensen, Jens H.E. & Fischer, Eric & Shultz, Patrick J., 2021. "Bond flows and liquidity: Do foreigners matter?," Journal of International Money and Finance, Elsevier, vol. 117(C).
    15. Martin M Andreasen & Jens H E Christensen & Simon Riddell, 2021. "The TIPS Liquidity Premium [Decomposing real and nominal yield curves]," Review of Finance, European Finance Association, vol. 25(6), pages 1639-1675.
    16. Jens Christensen & Sarah Mouabbi, 2024. "The Natural Rate of Interest in the Euro Area: Evidence from Inflation-Indexed Bonds," Working papers 948, Banque de France.
    17. Luis Ceballos & Jens H. E. Christensen & Damian Romero, 2024. "A Post-Pandemic New Normal for Interest Rates in Emerging Bond Markets? Evidence from Chile," Working Paper Series 2024-04, Federal Reserve Bank of San Francisco.
    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. Christensen, Jens H.E. & Spiegel, Mark M., 2022. "Monetary reforms and inflation expectations in Japan: Evidence from inflation-indexed bonds," Journal of Econometrics, Elsevier, vol. 231(2), pages 410-431.
    20. Cees Diks & Bram Wouters, 2023. "Noise reduction for functional time series," Papers 2307.02154, arXiv.org.
    21. Jens H. E. Christensen & Nikola Mirkov, 2021. "The Safety Premium of Safe Assets," Working Paper Series 2019-28, Federal Reserve Bank of San Francisco.
    22. Jens H. E. Christensen & Mark M. Spiegel, 2019. "Assessing Abenomics: Evidence from Inflation-Indexed Japanese Government Bonds," Working Paper Series 2019-15, Federal Reserve Bank of San Francisco.

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    More about this item

    Keywords

    Extended Kalman filter; Fixed-coupon bond prices; Arbitrage-free Nelson–Siegel model;
    All these keywords.

    JEL classification:

    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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