Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada
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Bibliographic InfoPaper provided by Bank of Canada in its series Working Papers with number 02-29.
Length: 90 pages Abstract: This paper continues the work started by Bolder and Stréliski (1999) and considers two alternative classes of models for extracting zero-coupon and forward rates from a set of observed Government of Canada bond and treasury-bill prices. The first class of term-structure estimation methods follows from work by Fisher, Nychka, and Zervos (1994), Anderson and Sleath (2001), and Waggoner (1997). This approach employs a B-spline basis for the space of cubic splines to fit observed coupon-bond prices—as a consequence, we call these the spline-based models. This approach includes a penalty in the generalized least-squares objective function—following from Waggoner (1997)—that imposes the desired level of smoothness into the term structure of interest rates. The second class of methods is called function-based and includes variations on the work of Li et al. (2001), which uses linear combinations of basis functions, defined over the entire term-to-maturity spectrum, to fit the discount function. This class of function-based models includes the model proposed by Svensson (1994). In addition to a comprehensive discussion of these models, the authors perform an extensive comparison of these models' performance in the Canadian marketplace.
Date of creation: 2002
Date of revision:
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Interest rates; Econometric and statistical methods; Financial markets;
Find related papers by 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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