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An Empirical Analysis of the Canadian Term Structure of Zero-Coupon Interest Rates

Author

Listed:
  • David Bolder
  • Grahame Johnson
  • Adam Metzler

Abstract

Zero-coupon interest rates are the fundamental building block of fixed-income mathematics, and as such have an extensive number of applications in both finance and economics. The risk-free government zero-coupon term structure is, however, not directly observable and needs to be generated from the prices of marketable, coupon-bearing bonds. The authors introduce the first public-domain database of constant-maturity zero-coupon yield curves for the Government of Canada bond market. They first outline the mechanics of the curve-fitting algorithm that underlie the model, and then perform some preliminary statistical analysis on the resulting yield curves. The full sample period extends from January 1986 to May 2003; it is broken down into two subsamples, reflecting the structural and macroeconomic changes that impacted the Canadian fixed-income markets over that time. The authors examine the evolution of a number of key interest rates and yield-curve measures over the period, perform a principal-components analysis of the common factors that have influenced yield changes over time, and compare holding-period returns over the sample for assets of various maturities.

Suggested Citation

  • 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.
    • Handle: RePEc:bca:bocawp:04-48
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    References listed on IDEAS

    as
    1. 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.
    2. Ian Christensen & Frédéric Dion & Christopher Reid, 2004. "Real Return Bonds, Inflation Expectations, and the Break-Even Inflation Rate," Staff Working Papers 04-43, Bank of Canada.
    3. Uri Ron, 2000. "A Practical Guide to Swap Curve Construction," Staff Working Papers 00-17, Bank of Canada.
    4. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    5. S. Boragan Aruoba & Francis X. Diebold & Glenn D. Rudebusch, 2003. "The macroeconomy and the yield curve: a nonstructural analysis," Working Paper Series 2003-18, Federal Reserve Bank of San Francisco.
    6. Brousseau, Vincent, 2002. "The functional form of yield curves," Working Paper Series 148, European Central Bank.
    7. David Bolder & Scott Gusba, 2002. "Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada," Staff Working Papers 02-29, Bank of Canada.
    8. Knez, Peter J & Litterman, Robert & Scheinkman, Jose Alexandre, 1994. "Explorations into Factors Explaining Money Market Returns," Journal of Finance, American Finance Association, vol. 49(5), pages 1861-1882, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Financial markets; Interest rates; Econometric and statistical methods;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • G1 - Financial Economics - - General Financial Markets

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