Modelling the Yield Curve with Orthonormalised Laguerre Polynomials: A Consistent Cross-Sectional and Inter-Temporal Approach
AbstractThis article proposes the orthonormalised Laguerre polynomial (OLP) model of the yield curve, a generic linear model that is both cross-sectionally consistent (that is, it reliably fits the yield curve at a given point in time), and inter-temporally consistent (that is, the cross-sectional parameters are shown to be consistent over time within the expectations hypothesis framework). The OLP model generalises the exponential-polynomial model for a single yield curve, as originally proposed by Nelson and Siegel (1987), and also allows for the simultaneous modelling of other same-currency yield curves that have instrument-specific differences (such as default risk), as in Houweling, Hoek and Kleibergen (2001). New Zealand data is used to illustrate the empirical application of the OLP model.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Waikato, Department of Economics in its series Working Papers in Economics with number 03/02.
Length: 40 pages
Date of creation: 30 Sep 2003
Date of revision:
Contact details of provider:
Postal: Private Bag 3105, Hamilton, New Zealand, 3240
Phone: + 64 (0)7 838 4758 (Administrator)
Fax: + 64 7 838 4331
Web page: http://cms.mngt.waikato.ac.nz/departments/economics
More information through EDIRC
yield curve; term structure; expectations hypothesis; exponential polynomial; Nelson and Siegel model;
Find related papers by JEL classification:
- C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Houweling, P. & Hoek, J. & Kleibergen, F.R., 1999.
"The Joint Estimation of Term Structures and Credit Spreads,"
Econometric Institute Research Papers
EI 9916-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Houweling, Patrick & Hoek, Jaap & Kleibergen, Frank, 2001. "The joint estimation of term structures and credit spreads," Journal of Empirical Finance, Elsevier, vol. 8(3), pages 297-323, July.
- Patrick Houweling & Jaap Hoek & Frank Kleibergen, 1999. "The Joint Estimation of Term Structures and Credit Spreads," Tinbergen Institute Discussion Papers 99-027/4, Tinbergen Institute.
- Jarrow, Robert A & Lando, David & Turnbull, Stuart M, 1997. "A Markov Model for the Term Structure of Credit Risk Spreads," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 481-523.
- Soderlind, Paul & Svensson, Lars, 1997.
"New techniques to extract market expectations from financial instruments,"
Journal of Monetary Economics,
Elsevier, vol. 40(2), pages 383-429, October.
- Söderlind, Paul & Svensson, Lars E O, 1997. "New Techniques to Extract Market Expectations from Financial Instruments," CEPR Discussion Papers 1556, C.E.P.R. Discussion Papers.
- Söderlind, Paul & Svensson, Lars E.O., 1996. "New Techniques to Extract Market expectations from Financial Instruments," Working Paper Series in Economics and Finance 142, Stockholm School of Economics.
- Söderlind, Paul & Svensson, Lars E.O., 1997. "New Techniques to Extract Market Expectations from Financial Instruments," Seminar Papers 621, Stockholm University, Institute for International Economic Studies.
- Paul Soderlind & Lars E. O. Svensson, 1997. "New Techniques to Extract Market Expectations from Financial Instruments," NBER Working Papers 5877, National Bureau of Economic Research, Inc.
- Soderlind, P & Svensson, L-E-O, 1996. "New Techniques to Extract Market Expectations from Financial Instruments," Papers 621, Stockholm - International Economic Studies.
- Diebold, Francis X. & Li, Canlin, 2003.
"Forecasting the term structure of government bond yields,"
CFS Working Paper Series
2004/09, Center for Financial Studies (CFS).
- 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.
- Francis X. Diebold & Canlin Li, 2002. "Forecasting the Term Structure of Government Bond Yields," Center for Financial Institutions Working Papers 02-34, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Francis X. Diebold & Canlin Li, 2003. "Forecasting the Term Structure of Government Bond Yields," NBER Working Papers 10048, National Bureau of Economic Research, Inc.
- Pham, Toan M., 1998. "Estimation of the term structure of interest rates: an international perspective," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 265-283, September.
- Hördahl, Peter, 2000.
"Estimating the implied distribution of the future short term interest rate using the Longstaff-Schwartz model,"
Working Paper Series
0016, European Central Bank.
- Hördahl, Peter, 2000. "Estimating the Implied Distribution of the Future Short-Term Interest Rate Using the Longstaff-Schwartz Model," Working Paper Series 111, Sveriges Riksbank (Central Bank of Sweden).
- Ben Hunt, 1995. "Fitting Parsimonious Yield Curve Models to Australian Coupon Bond Data," Working Paper Series 51, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
- Jean Helwege & Christopher M. Turner, 1999. "The Slope of the Credit Yield Curve for Speculative-Grade Issuers," Journal of Finance, American Finance Association, vol. 54(5), pages 1869-1884, October.
- 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 545-64, Winter.
- Seppälä, Juha & Viertiö, Petri, 1996. "The Term Structure of Interest Rates: Estimation and Interpretation," Research Discussion Papers 19/1996, Bank of Finland.
- Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-89, October.
- 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.
- Leo Krippner, 2005. "An Intertemporally-Consistent and Arbitrage-Free Version of the Nelson and Siegel Class of Yield Curve Models," Working Papers in Economics 05/01, University of Waikato, Department of Economics.
- Leo Krippner, 2003. "Modelling the Yield Curve with Orthonomalised Laguerre Polynomials: An Intertemporally Consistent Approach with an Economic Interpretation," Working Papers in Economics 03/01, University of Waikato, Department of Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Brian Silverstone).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.