[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/taf/apfiec/v15y2005i10p691-705.html
   My bibliography  Save this article

A Kalman filter approach to characterizing the Canadian term structure of interest rates

Author

Listed:
  • Toni Gravelle
  • James Morley
Abstract
This paper employs a Kalman filter approach to test the Expectations Hypothesis and characterize how term premia have changed over time for short-term Canadian interest rates. The Kalman filter approach is extended to account for changes in interest rate volatility, possible permanent changes in term premia, and overlapping forecast errors. The Expectations Hypothesis is strongly rejected with estimated term premia displaying significant time variation. There is some evidence of a positive relationship between term premia and interest rate volatility, although other macroeconomic and political factors are important, especially exchange rate volatility. Also, estimated term premia were actually negative during the late 1980s.

Suggested Citation

  • Toni Gravelle & James Morley, 2005. "A Kalman filter approach to characterizing the Canadian term structure of interest rates," Applied Financial Economics, Taylor & Francis Journals, vol. 15(10), pages 691-705.
  • Handle: RePEc:taf:apfiec:v:15:y:2005:i:10:p:691-705
    DOI: 10.1080/09603100500107917
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/09603100500107917
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/09603100500107917?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    2. Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157.
    3. Jean-Yves Paquette & David Stréliski, 1998. "The use of forward rate agreements in Canada," Bank of Canada Review, Bank of Canada, vol. 1998(Spring), pages 57-71.
    4. Wolff, Christian C P, 1987. "Forward Foreign Exchange Rates, Expected Spot Rates, and Premia: A Signal-Extraction Approach," Journal of Finance, American Finance Association, vol. 42(2), pages 395-406, June.
    5. Tzavalis, Elias & Wickens, Michael R, 1997. "Explaining the Failures of the Term Spread Models of the Rational Expectations Hypothesis of the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 364-380, August.
    6. Iyer, Sridhar, 1997. "Time-Varying Term Premia and the Behavior of Forward Interest Rate Prediction Errors," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(4), pages 503-507, Winter.
    7. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 61-82, Suppl. De.
    8. Bekaert, Geert & Hodrick, Robert J. & Marshall, David A., 2001. "Peso problem explanations for term structure anomalies," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 241-270, October.
    9. N. Gregory Mankiw & Jeffrey A. Miron, 1986. "The Changing Behavior of the Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(2), pages 211-228.
    10. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    11. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-788, August.
    12. Kim, Chang-Jin, 1994. "Dynamic linear models with Markov-switching," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 1-22.
    13. Fama, Eugene F., 1984. "The information in the term structure," Journal of Financial Economics, Elsevier, vol. 13(4), pages 509-528, December.
    14. F. A. Lutz, 1940. "The Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 55(1), pages 36-63.
    15. N. Gregory Mankiw, 1986. "The Term Structure of Interest Rates Revisited," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 17(1), pages 61-110.
    16. repec:bla:jfinan:v:44:y:1989:i:2:p:283-305 is not listed on IDEAS
    17. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    18. 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.
    19. Sridhar Iyer, 1997. "Time-Varying Term Premia And The Behavior Of Forward Interest Rate Prediction Errors," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(4), pages 503-507, December.
    20. Wolff, Christian C, 1987. "Forward Exchange Rates and Expected Future Spot Rates," CEPR Discussion Papers 187, C.E.P.R. Discussion Papers.
    21. Shiller, Robert J. & Huston McCulloch, J., 1990. "The term structure of interest rates," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 13, pages 627-722, Elsevier.
    22. Cavanagh, Christopher L. & Elliott, Graham & Stock, James H., 1995. "Inference in Models with Nearly Integrated Regressors," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1131-1147, October.
    23. Robert J. Shiller & John Y. Campbell & Kermit L. Schoenholtz, 1983. "Forward Rates and Future Policy: Interpreting the Term Structure of Interest Rates," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 14(1), pages 173-224.
    24. 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.
    25. Hardouvelis, Gikas A., 1994. "The term structure spread and future changes in long and short rates in the G7 countries: Is there a puzzle?," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 255-283, April.
    26. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    27. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, April.
    28. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
    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. Alex Ilek & Tanya Suchoy & Nir Klein, 2006. "Estimating the premium implicit in the yields of Treasury Bills," Israel Economic Review, Bank of Israel, vol. 4(2), pages 53-83.
    2. Osmani Teixeira De Carvalho Guillen & Benjamin M. Tabak, 2009. "Characterising the Brazilian term structure of interest rates," International Journal of Monetary Economics and Finance, Inderscience Enterprises Ltd, vol. 2(2), pages 103-114.
    3. Date, Paresh & Wang, Chieh, 2009. "Linear Gaussian affine term structure models with unobservable factors: Calibration and yield forecasting," European Journal of Operational Research, Elsevier, vol. 195(1), pages 156-166, May.
    4. Date, P. & Canepa, A. & Abdel-Jawad, M., 2011. "A mixed integer linear programming model for optimal sovereign debt issuance," European Journal of Operational Research, Elsevier, vol. 214(3), pages 749-758, November.
    5. K. Triantafyllopoulos, 2007. "Covariance estimation for multivariate conditionally Gaussian dynamic linear models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 26(8), pages 551-569.
    6. Kopchak, Seth J., 2013. "The realized forward term premium in the repo market," Journal of Financial Markets, Elsevier, vol. 16(2), pages 253-278.
    7. Michael Gordon, 2003. "Estimates of time-varying term premia for New Zealand and Australia," Reserve Bank of New Zealand Discussion Paper Series DP2003/06, Reserve Bank of New Zealand.
    8. Fabrizio Casalin, 2007. "Single Equation Models, Co-Integration and the Expectations Hypothesis of the Term Structure of Interest Rates," Discussion Papers in Economics 07/06, Division of Economics, School of Business, University of Leicester.
    9. Minoas Koukouritakis, 2010. "Structural breaks and the expectations hypothesis of the term structure: evidence from Central European countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(4), pages 757-774, January.
    10. Minoas Koukouritakis & Leo Michelis, 2008. "The term structure of interest rates in the 12 newest EU countries," Applied Economics, Taylor & Francis Journals, vol. 40(4), pages 479-490.
    11. Casalin, Fabrizio, 2013. "Testing the expectations hypothesis of the term structure with permanent-transitory component models," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3192-3203.
    12. Long H. Vo, 2014. "Application of Kalman Filter on modelling interest rates," Journal of Management Sciences, Geist Science, Iqra University, Faculty of Business Administration, vol. 1(1), pages 1-15, March.
    13. Arielle Beyaert & Juan Jose Perez-Castejon, 2009. "Markov-switching models, rational expectations and the term structure of interest rates," Applied Economics, Taylor & Francis Journals, vol. 41(3), pages 399-412.

    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. Alex Ilek & Tanya Suchoy & Nir Klein, 2006. "Estimating the premium implicit in the yields of Treasury Bills," Israel Economic Review, Bank of Israel, vol. 4(2), pages 53-83.
    2. Kopchak, Seth J., 2013. "The realized forward term premium in the repo market," Journal of Financial Markets, Elsevier, vol. 16(2), pages 253-278.
    3. Durré, Alain & Evjen, Snorre & Pilegaard, Rasmus, 2003. "Estimating risk premia in money market rates," Working Paper Series 221, European Central Bank.
    4. Bulkley, George & Harris, Richard D.F. & Nawosah, Vivekanand, 2011. "Revisiting the expectations hypothesis of the term structure of interest rates," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1202-1212, May.
    5. Yvon Fauvel & Alain Paquet & Christian Zimmermann, 1999. "A Survey on Interest Rate Forecasting," Cahiers de recherche CREFE / CREFE Working Papers 87, CREFE, Université du Québec à Montréal.
    6. Petko Kalev & Brett Inder, 2006. "The information content of the term structure of interest rates," Applied Economics, Taylor & Francis Journals, vol. 38(1), pages 33-45.
    7. M. Isabel Martínez-Serna & Eliseo Navarro-Arribas, 2002. "El modelo de McCallum. Evidencia empírica en la estructura temporal de los tipos de interés española," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 323-357, May.
    8. G. Boero & C. Torricelli, 1999. "The Information in the Term of Structure: further Results for Germany," Working Paper CRENoS 199912, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    9. Hurn, A Stan & Moody, Terry & Muscatelli, V Anton, 1995. "The Term Structure of Interest Rates in the London Interbank Market," Oxford Economic Papers, Oxford University Press, vol. 47(3), pages 419-436, July.
    10. Gianna Boero & Costanza Torricelli, 2002. "The information in the term structure of German interest rates," The European Journal of Finance, Taylor & Francis Journals, vol. 8(1), pages 21-45.
    11. Sharon Kozicki & Peter A. Tinsley, "undated". "Moving Endpoints in Macrofinance," Computing in Economics and Finance 1996 _058, Society for Computational Economics.
    12. Jondeau, E. & Sedillot, F., 1998. "La prevision des taux longs français et allemands a partir d'un modele a anticipations rationnelles," Working papers 55, Banque de France.
    13. repec:hal:spmain:info:hdl:2441/5221 is not listed on IDEAS
    14. Guidolin, Massimo & Thornton, Daniel L., 2018. "Predictions of short-term rates and the expectations hypothesis," International Journal of Forecasting, Elsevier, vol. 34(4), pages 636-664.
    15. Ederington, Louis H. & Huang, Chao-Hsi, 1995. "Parameter uncertainty and the rational expectations model of the term structure," Journal of Banking & Finance, Elsevier, vol. 19(2), pages 207-223, May.
    16. repec:spo:wpmain:info:hdl:2441/5221 is not listed on IDEAS
    17. Fabrizio Casalin, 2007. "Single Equation Models, Co-Integration and the Expectations Hypothesis of the Term Structure of Interest Rates," Discussion Papers in Economics 07/06, Division of Economics, School of Business, University of Leicester.
    18. Osmani Teixeira De Carvalho Guillen & Benjamin M. Tabak, 2009. "Characterising the Brazilian term structure of interest rates," International Journal of Monetary Economics and Finance, Inderscience Enterprises Ltd, vol. 2(2), pages 103-114.
    19. Magdalena Massot Perelló & Juan M. Nave Pineda, 2003. "La hipótesis de las expectativas en el largo plazo: evidencia en el mercado español de deuda pública," Investigaciones Economicas, Fundación SEPI, vol. 27(3), pages 533-564, September.
    20. Cathy Yi-Hsuan Chen & Thomas C. Chiang, 2017. "Surprises, sentiments, and the expectations hypothesis of the term structure of interest rates," Review of Quantitative Finance and Accounting, Springer, vol. 49(1), pages 1-28, July.
    21. Cuthbertson, Keith & Bredin, Don, 2001. "Risk Premia and Long Rates in Ireland," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(6), pages 391-403, September.
    22. repec:adr:anecst:y:1998:i:52:p:01 is not listed on IDEAS
    23. Tzavalis, Elias & Wickens, Michael R, 1997. "Explaining the Failures of the Term Spread Models of the Rational Expectations Hypothesis of the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 364-380, August.

    More about this item

    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:taf:apfiec:v:15:y:2005:i:10:p:691-705. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAFE20 .

    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.