IDEAS home Printed from https://ideas.repec.org/p/boe/boeewp/0357.html
   My bibliography  Save this paper

A no-arbitrage structural vector autoregressive model of the UK yield curve

Author

Listed:
  • Kaminska, Iryna

    (Bank of England)

Abstract

This paper combines a structural vector autoregression (SVAR) with a no-arbitrage approach to build a multifactor affine term structure model (ATSM). The resulting no-arbitrage structural vector autoregressive (NA-SVAR) model implies that expected excess returns are driven by the structural macroeconomic shocks. This is in contrast to a standard ATSM, in which agents are concerned with non-structural risks. As a simple application of a NA-SVAR model, we study the effects of supply, demand and monetary policy shocks on the UK yield curve. We show that all shocks affect the slope of the yield curve, with demand and supply shocks accounting for a large part of the time variation in bond yields. The short end of the yield curve is driven mainly by the expectations component, while the term premium matters for the dynamics of the long end of the yield curve.

Suggested Citation

  • Kaminska, Iryna, 2008. "A no-arbitrage structural vector autoregressive model of the UK yield curve," Bank of England working papers 357, Bank of England.
    • Handle: RePEc:boe:boeewp:0357
    as

    Download full text from publisher

    File URL: https://www.bankofengland.co.uk/-/media/boe/files/working-paper/2008/a-no-arbitrage-structural-vector-autoregressive-model-of-the-uk-yield-curve.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-673, September.
    2. Ulf Soderstrom & Tore Ellingsen, 2004. "Why are long rates sensitive to monetary policy?," Computing in Economics and Finance 2004 31, Society for Computational Economics.
    3. Geert Bekaert & Seonghoon Cho & Antonio Moreno, 2010. "New Keynesian Macroeconomics and the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(1), pages 33-62, February.
    4. Glenn D. Rudebusch & Eric T. Swanson & Tao Wu, 2006. "The Bond Yield "Conundrum" from a Macro-Finance Perspective," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 83-109, December.
    5. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 405-444.
    6. 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.
    7. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    8. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
    9. Nicola Anderson & John Sleath, 2001. "New estimates of the UK real and nominal yield curves," Bank of England working papers 126, Bank of England.
    10. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
    11. Bagliano, Fabio C. & Favero, Carlo A., 1998. "Measuring monetary policy with VAR models: An evaluation," European Economic Review, Elsevier, vol. 42(6), pages 1069-1112, June.
    12. Harris, Richard D F, 2001. "The Expectations Hypothesis of the Term Structure and Time-Varying Risk Premia: A Panel Data Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(2), pages 233-245, May.
    13. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    14. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
    15. GlennD. Rudebusch & Tao Wu, 2008. "A Macro-Finance Model of the Term Structure, Monetary Policy and the Economy," Economic Journal, Royal Economic Society, vol. 118(530), pages 906-926, July.
    16. Evans, Charles L. & Marshall, David A., 2007. "Economic determinants of the nominal treasury yield curve," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1986-2003, October.
    17. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    18. 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.
    19. Evans, Charles L. & Marshall, David A., 1998. "Monetary policy and the term structure of nominal interest rates: Evidence and theory," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 49(1), pages 53-111, December.
    20. Ang, Andrew & Piazzesi, Monika & Wei, Min, 2006. "What does the yield curve tell us about GDP growth?," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 359-403.
    21. Estrella, Arturo & Hardouvelis, Gikas A, 1991. "The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-576, June.
    22. Harvey, Campbell R., 1988. "The real term structure and consumption growth," Journal of Financial Economics, Elsevier, vol. 22(2), pages 305-333, December.
    23. Olivier Blanchard & Roberto Perotti, 2002. "An Empirical Characterization of the Dynamic Effects of Changes in Government Spending and Taxes on Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1329-1368.
    24. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    25. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    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. Malik, Sheheryar & Meldrum, Andrew, 2016. "Evaluating the robustness of UK term structure decompositions using linear regression methods," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 85-102.
    2. Alfonso Mendoza Velázquez & Peter N. Smith, 2013. "Equity Returns and the Business Cycle: the Role of Supply and Demand Shocks," Manchester School, University of Manchester, vol. 81, pages 100-124, September.
    3. Nikola Mirkov, 2014. "International financial transmission of the Fed's monetary policy," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 7(2), pages 7-49, September.
    4. Mirkov, Nikola, 2012. "International Financial Transmission of the US Monetary Policy: An Empirical Assessment," Working Papers on Finance 1201, University of St. Gallen, School of Finance.
    5. Spencer, Peter & Liu, Zhuoshi, 2010. "An open-economy macro-finance model of international interdependence: The OECD, US and the UK," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 667-680, March.

    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. Ioannidis, Christos & Ka, Kook, 2018. "The impact of oil price shocks on the term structure of interest rates," Energy Economics, Elsevier, vol. 72(C), pages 601-620.
    2. Fousseni Chabi-Yo & Jun Yang, 2007. "A No-Arbitrage Analysis of Macroeconomic Determinants of Term Structures and the Exchange Rate," Staff Working Papers 07-21, Bank of Canada.
    3. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
    4. Ang, Andrew & Piazzesi, Monika & Wei, Min, 2006. "What does the yield curve tell us about GDP growth?," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 359-403.
    5. Carlo A. Favero & Arie E. Gozluklu & Haoxi Yang, 2016. "Demographics and the Behavior of Interest Rates," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(4), pages 732-776, November.
    6. Hibiki Ichiue, 2004. "Why Can the Yield Curve Predict Output Growth, Inflation, and Interest Rates? An Analysis with an Affine Term Structure Model," Bank of Japan Working Paper Series 04-E-11, Bank of Japan.
    7. Gallmeyer, Michael F. & Hollifield, Burton & Zin, Stanley E., 2005. "Taylor rules, McCallum rules and the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 921-950, July.
    8. Duffee, Gregory R., 2013. "Bond Pricing and the Macroeconomy," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 907-967, Elsevier.
    9. Peter Lildholdt & Nikolaos Panigirtzoglou & Chris Peacock, 2007. "An affine macro-factor model of the UK yield curve," Bank of England working papers 322, Bank of England.
    10. Matteo Modena, 2008. "An Empirical Analysis of the Curvature Factor of the Term Structure of Interest Rates," Working Papers 2008_35, Business School - Economics, University of Glasgow.
    11. Jun Yang, 2008. "Macroeconomic Determinants of the Term Structure of Corporate Spreads," Staff Working Papers 08-29, Bank of Canada.
    12. Hamilton, James D. & Wu, Jing Cynthia, 2012. "Identification and estimation of Gaussian affine term structure models," Journal of Econometrics, Elsevier, vol. 168(2), pages 315-331.
    13. Ravenna, Federico & Seppälä, Juha, 2006. "Monetary policy and rejections of the expectations hypothesis," Research Discussion Papers 25/2006, Bank of Finland.
    14. repec:zbw:bofrdp:2006_025 is not listed on IDEAS
    15. Ravenna, Federico & Seppälä, Juha, 2006. "Monetary policy and rejections of the expectations hypothesis," Bank of Finland Research Discussion Papers 25/2006, Bank of Finland.
    16. Peter Hördahl & Oreste Tristani & David Vestin, 2006. "The term structure of inflation risk premia and macroeconomic dynamics," Computing in Economics and Finance 2006 203, Society for Computational Economics.
    17. René Garcia & Richard Luger, 2007. "The Canadian macroeconomy and the yield curve: an equilibrium‐based approach," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 40(2), pages 561-583, May.
    18. Duffee, Gregory R., 2006. "Term structure estimation without using latent factors," Journal of Financial Economics, Elsevier, vol. 79(3), pages 507-536, March.
    19. Glenn D. Rudebusch, 2010. "Macro‐Finance Models Of Interest Rates And The Economy," Manchester School, University of Manchester, vol. 78(s1), pages 25-52, September.
    20. Francisco Palomino, 2012. "Bond Risk Premiums and Optimal Monetary Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 19-40, January.
    21. Evans, Charles L. & Marshall, David A., 2007. "Economic determinants of the nominal treasury yield curve," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1986-2003, October.

    More about this item

    Keywords

    Structural vector autoregression; interest rate risk; essentially affine term structure model;
    All these keywords.

    JEL classification:

    • 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
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

    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:boe:boeewp:0357. 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: Digital Media Team (email available below). General contact details of provider: https://edirc.repec.org/data/boegvuk.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.