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Estimation of the Term Structure of Interest Rates: Methodology and Applications

Author

Listed:
  • Emma Berenguer-Carceles

    (Department of Finance and Accounting, Universidad Pablo de Olavide)

  • Ricardo Gimeno

    (European Central Bank, Department of Capital Markets and Financial Structures)

  • Juan M. Nave

    (Department of Finance and Accounting, Universidad de Castilla-La Mancha)

Abstract

In macroeconomics and finance, it is extremely useful to have knowledge of the Term Structure of Interest Rates (TSIR) and to be able to interpret the related data. However, independently of its latest particular application, the TSIR is not observable directly in the market and a previous estimation of the yield curve is needed. There are two distinct approaches to modelling the term structure of interest rates. The first is essenciallly to measure the term structure using statistical techniques by appliyng interpolation or curve-fitting methods to construct yields. The second approach is based on models, known as dynamic models, which make explicit assumptions about the evolution of state variables and asset pricing models using either equilibrium or arbitrage arguments. There is no consensus on any particular methodology and the choice between alternative curve models is, in part, subjective. Nevertheless, the interpolation or curve-fitting methods have showed good properties and are those used nowadays by the vast majority of central banks. The objective of this article is to make a concise study to enhance knowledge of the Term Structure of Interest Rates and of the principal methodologies based on statistical techniques that have been proposed for its correct estimation. The most relevant empirical work on comparing the principal methodologies is also presented. A better understanding of the principal methodologies and their limitations will provide the researchers a panoramic vision of the problematic of estimation of the yield curve and will enable them to chose the best model according to their objectives.

Suggested Citation

  • Emma Berenguer-Carceles & Ricardo Gimeno & Juan M. Nave, 2012. "Estimation of the Term Structure of Interest Rates: Methodology and Applications," Working Papers 12.06, Universidad Pablo de Olavide, Department of Financial Economics and Accounting (former Department of Business Administration).
    • Handle: RePEc:pab:fiecac:12.06
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    References listed on IDEAS

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    1. Shea, Gary S., 1984. "Pitfalls in Smoothing Interest Rate Term Structure Data: Equilibrium Models and Spline Approximations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(3), pages 253-269, September.
    2. 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.
    3. N. Gregory Mankiw & Lawrence H. Summers, 1984. "Do Long-Term Interest Rates Overreact to Short-Term Interest Rates?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 15(1), pages 223-248.
    4. Chambers, Donald R. & Carleton, Willard T. & Waldman, Donald W., 1984. "A New Approach to Estimation of the Term Structure of Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(3), pages 233-252, September.
    5. J. M. Culbertson, 1957. "The Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 71(4), pages 485-517.
    6. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
    7. Alessandro Ramponi, 2003. "Adaptive And Monotone Spline Estimation Of The Cross-Sectional Term Structure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 195-212.
    8. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    9. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    10. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    11. David Durand, 1942. "Basic Yields of Corporate Bonds, 1900-1942," NBER Chapters, in: Basic Yields of Corporate Bonds, 1900-1942, pages 1-40, National Bureau of Economic Research, Inc.
    12. Dominguez, Emilio & Novales, Alfonso, 2000. "Testing the expectations hypothesis in Eurodeposits," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 713-736, October.
    13. Mansi, Sattar A & Phillips, Jeffrey H, 2001. "Modeling the Term Structure from the On-the-Run Treasury Yield Curve," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(4), pages 545-564, Winter.
    14. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    15. 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.
    16. David Durand, 1942. "Basic Yields of Corporate Bonds, 1900-1942," NBER Books, National Bureau of Economic Research, Inc, number dura42-1, March.
    17. Svensson, L.E.O., 1994. "Estimating and Interpreting Foreward Interest Rates: Sweden 1992-1994," Papers 579, Stockholm - International Economic Studies.
    18. Pilar Abad & Sonia Benito, 2009. "Accurate Of Var Calculated Using Empirical Models Of The Term Structure," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(06), pages 811-832.
    19. Eliseo Navarro & Juan M. Nave, 1997. "A two-factor duration model for interest rate risk management," Investigaciones Economicas, Fundación SEPI, vol. 21(1), pages 55-74, January.
    20. 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.
    21. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    22. Burton G. Malkiel, 1962. "Expectations, Bond Prices, and the Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 76(2), pages 197-218.
    23. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    24. Kalman J. Cohen & Robert L. Kramer & W. Howard Waugh, 1966. "Regression Yield Curves for U.S. Government Securities," Management Science, INFORMS, vol. 13(4), pages 168-175, December.
    25. McCulloch, J Huston, 1975. "The Tax-Adjusted Yield Curve," Journal of Finance, American Finance Association, vol. 30(3), pages 811-830, June.
    26. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    27. Mark Deacon & Andrew Derry, 1994. "Estimating the Term Structure of Interest Rates," Bank of England working papers 24, Bank of England.
    28. Bing-Huei Lin, 2002. "Fitting term structure of interest rates using B-splines: the case of Taiwanese Government bonds," Applied Financial Economics, Taylor & Francis Journals, vol. 12(1), pages 57-75.
    29. Mark Fisher & Douglas Nychka & David Zervos, 1995. "Fitting the term structure of interest rates with smoothing splines," Finance and Economics Discussion Series 95-1, Board of Governors of the Federal Reserve System (U.S.).
    30. Vasicek, Oldrich A & Fong, H Gifford, 1982. "Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-348, May.
    31. Bank for International Settlements, 2005. "Zero-coupon yield curves: technical documentation," BIS Papers, Bank for International Settlements, number 25.
    32. Fama, Eugene F., 1984. "The information in the term structure," Journal of Financial Economics, Elsevier, vol. 13(4), pages 509-528, December.
    33. 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.
    34. Carleton, Willard T & Cooper, Ian A, 1976. "Estimation and Uses of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 31(4), pages 1067-1083, September.
    35. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    36. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    37. Sattar A. Mansi & Jeffery H. Phillips, 2001. "Modeling The Term Structure From The On-The-Run Treasury Yield Curve," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(4), pages 545-564, December.
    38. Ricardo Gimeno & Juan M. Nave, 2006. "Genetic algorithm estimation of interest rate term structure," Working Papers 0634, Banco de España.
    39. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January.
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    Term Structure of Interest Rates; estimation methodologies.;

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