IDEAS home Printed from https://ideas.repec.org/p/fip/fedfwp/2017-21.html
   My bibliography  Save this paper

Term Structure Analysis with Big Data

Author

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

Abstract

Analysis of the term structure of interest rates almost always takes a two-step approach. First, actual bond prices are summarized by interpolated synthetic zero-coupon yields, and second, a small set 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 onestep 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

  • Martin M. Andreasen & Jens H. E. Christensen & Glenn D. Rudebusch, 2017. "Term Structure Analysis with Big Data," Working Paper Series 2017-21, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:2017-21
    Note: This version: September 15, 2017.
    as

    Download full text from publisher

    File URL: http://www.frbsf.org/economic-research/files/wp2017-21.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jean-Sébastien Fontaine & René Garcia, 2012. "Bond Liquidity Premia," The Review of Financial Studies, Society for Financial Studies, vol. 25(4), pages 1207-1254.
    2. 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.
    3. 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.
    4. 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.
    5. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, July.
    6. Joost Driessen, 2005. "Is Default Event Risk Priced in Corporate Bonds?," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 165-195.
    7. 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.
    8. 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.
    9. 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.
    10. Black, Fischer, 1995. "Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-1376, December.
    11. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    12. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    13. Fama, Eugene F., 1976. "Forward rates as predictors of future spot rates," Journal of Financial Economics, Elsevier, vol. 3(4), pages 361-377, October.
    14. 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.
    15. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
    16. 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.
    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. 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.
    19. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. Damir Filipović & Sander Willems, 2016. "Exact Smooth Term Structure Estimation," Swiss Finance Institute Research Paper Series 16-38, Swiss Finance Institute.
    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. Natraj Raman & Jochen L. Leidner, 2018. "Municipal Bond Pricing: A Data Driven Method," IJFS, MDPI, vol. 6(3), pages 1-19, September.
    2. Antonio Díaz & Francisco Jareño & Eliseo Navarro, 2022. "Yield curve data choice and potential moral hazard: An empirical exercise on pricing callable bonds," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 2124-2145, April.
    3. Koo, B. & La Vecchia, D. & Linton, O., 2019. "Nonparametric Recovery of the Yield Curve Evolution from Cross-Section and Time Series Information," Cambridge Working Papers in Economics 1916, Faculty of Economics, University of Cambridge.
    4. Antonio Díaz & Francisco Jareño & Eliseo Navarro, 2020. "Yield curves from different bond data sets," Review of Derivatives Research, Springer, vol. 23(2), pages 191-226, July.
    5. Díaz, Antonio & Jareño, Francisco & Navarro, Eliseo, 2018. "Zero-coupon interest rates: Evaluating three alternative datasets," Economics Discussion Papers 2018-67, Kiel Institute for the World Economy (IfW Kiel).
    6. Koo, Bonsoo & La Vecchia, Davide & Linton, Oliver, 2021. "Estimation of a nonparametric model for bond prices from cross-section and time series information," Journal of Econometrics, Elsevier, vol. 220(2), pages 562-588.
    7. Umut Akovali & Kamil Yilmaz, 2021. "Unconventional Monetary Policy and Bond Market Connectedness in the New Normal," Koç University-TUSIAD Economic Research Forum Working Papers 2101, Koc University-TUSIAD Economic Research Forum.

    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. 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.
    2. Bruno Feunou & Jean-Sébastien Fontaine & Anh Le & Christian Lundblad, 2022. "Tractable Term Structure Models," Management Science, INFORMS, vol. 68(11), pages 8411-8429, November.
    3. Christensen, Jens H.E. & Lopez, Jose A. & Rudebusch, Glenn D., 2015. "A probability-based stress test of Federal Reserve assets and income," Journal of Monetary Economics, Elsevier, vol. 73(C), pages 26-43.
    4. 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.
    5. Christensen, Bent Jesper & Kjær, Mads Markvart & Veliyev, Bezirgen, 2023. "The incremental information in the yield curve about future interest rate risk," Journal of Banking & Finance, Elsevier, vol. 155(C).
    6. 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.
    7. Michael D. Bauer & Glenn D. Rudebusch, 2016. "Monetary Policy Expectations at the Zero Lower Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1439-1465, October.
    8. Martin M. Andreasen & Jens H. E. Christensen & Simon Riddell, 2020. "The TIPS Liquidity Premium," Working Paper Series 2017-11, Federal Reserve Bank of San Francisco.
    9. Martin M. Andreasen & Kasper Joergensen & Andrew C. Meldrum, 2019. "Bond Risk Premiums at the Zero Lower Bound," Finance and Economics Discussion Series 2019-040, Board of Governors of the Federal Reserve System (U.S.).
    10. 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.
    11. 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.
    12. 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.
    13. Yoichi Ueno, 2017. "Term Structure Models with Negative Interest Rates," IMES Discussion Paper Series 17-E-01, Institute for Monetary and Economic Studies, Bank of Japan.
    14. 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.
    15. Jing Cynthia Wu & Fan Dora Xia, 2020. "Negative interest rate policy and the yield curve," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(6), pages 653-672, September.
    16. 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.
    17. 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).
    18. Michael D. Bauer, 2018. "Restrictions on Risk Prices in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(2), pages 196-211, April.
    19. Alfaro, Rodrigo & Piña, Marco, 2023. "Estimates of the US Shadow-Rate," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 4(1).
    20. 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.

    More about this item

    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

    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:fip:fedfwp:2017-21. 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: Federal Reserve Bank of San Francisco Research Library (email available below). General contact details of provider: https://edirc.repec.org/data/frbsfus.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.