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Yield Curve Estimation by Kernel Smoothing Methods

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  • Oliver B. Linton

    (London School of Economics)

  • Enno Mammen

    (Ruprecht-Karls Universitat Heidelberg)

  • J. Nielsen

    (Codan)

  • Carsten Tanggaard

    (Aarhus School of Business)

Abstract

We introduce a new method for the estimation of discount functions, yield curves and forward curves from government issued coupon bonds. Our approach is nonparametric and does not assume a particular functional form for the discount function although we do show how to impose various restrictions in the estimation. Our method is based on kernel smoothing and is defined as the minimum of some localized population moment condition. The solution to the sample problem is not explicit and our estimation procedure is iterative, rather like the backfitting method of estimating additive nonparametric models. We establish the asymptotic normality of our methods using the asymptotic representation of our estimator as an infinite series with declining coefficients. The rate of convergence is standard for one dimensional nonparametric regression. We investigate the finite sample performance of our method, in comparison with other well-established methods, in a small simulation experiment.

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0235.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:0235

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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, Cambridge University Press, vol. 19(03), pages 253-269, September.
  2. Matzkin, Rosa L., 1986. "Restrictions of economic theory in nonparametric methods," Handbook of Econometrics, Elsevier, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 42, pages 2523-2558 Elsevier.
  3. Shiller, Robert & Campbell, John, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Scholarly Articles 3221490, Harvard University Department of Economics.
  4. Oliver Linton, 2000. "Efficient estimation of generalized additive nonparametric regression models," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 314, London School of Economics and Political Science, LSE Library.
  5. Hausman, Jerry A & Newey, Whitney K, 1995. "Nonparametric Estimation of Exact Consumers Surplus and Deadweight Loss," Econometrica, Econometric Society, Econometric Society, vol. 63(6), pages 1445-76, November.
  6. Marti G. Subrahmanyam & Young Ho Eom & Jun Uno, 1998. "Coupon Effects and the Pricing of Japanese Government Bonds: An Empirical Analysis," New York University, Leonard N. Stern School Finance Department Working Paper Seires, New York University, Leonard N. Stern School of Business- 98-078, New York University, Leonard N. Stern School of Business-.
  7. Jeffrey A. Frankel & Cara S. Lown, 1991. "An Indicator of Future Inflation Extracted From the Steepness of the Interest Rate Yield Curve Along Its Entire Length," NBER Working Papers 3751, National Bureau of Economic Research, Inc.
  8. Dahlquist, Magnus & Svensson, Lars E O, 1996. " Estimating the Term Structure of Interest Rates for Monetary Policy Analysis," Scandinavian Journal of Economics, Wiley Blackwell, Wiley Blackwell, vol. 98(2), pages 163-83, June.
  9. repec:att:wimass:9429 is not listed on IDEAS
  10. McCulloch, J Huston, 1975. "The Tax-Adjusted Yield Curve," Journal of Finance, American Finance Association, American Finance Association, vol. 30(3), pages 811-30, June.
  11. Opsomer, Jan & Ruppert, David, 1997. "Fitting a Bivariate Additive Model by Local Polynomial Regression," Staff General Research Papers 1071, Iowa State University, Department of Economics.
  12. Andrew Chesher, 1997. "Diet Revealed?: Semiparametric Estimation of Nutrient Intake-Age Relationships," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 160(3), pages 389-428.
  13. John Rust & Department of Economics & University of Wisconsin, 1994. "Using Randomization to Break the Curse of Dimensionality," Computational Economics, EconWPA 9403001, EconWPA, revised 04 Jul 1994.
  14. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, Elsevier, vol. 92(1), pages 1-45, September.
  15. Robinson, Peter M, 1988. "The Stochastic Difference between Econometric Statistics," Econometrica, Econometric Society, Econometric Society, vol. 56(3), pages 531-48, May.
  16. Enno Mammen & Oliver Linton & J Nielsen, 2000. "The existence and asymptotic properties of a backfitting projection algorithm under weak conditions," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 2315, London School of Economics and Political Science, LSE Library.
  17. Mark Fisher & Douglas Nychka & David Zervos, 1995. "Fitting the term structure of interest rates with smoothing splines," Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.) 95-1, Board of Governors of the Federal Reserve System (U.S.).
  18. Klein, R.W. & Spady, R.H., 1991. "An Efficient Semiparametric Estimator for Binary Response Models," Papers, Bell Communications - Economic Research Group 70, Bell Communications - Economic Research Group.
  19. Amihud, Yakov & Mendelson, Haim, 1991. " Liquidity, Maturity, and the Yields on U.S. Treasury Securities," Journal of Finance, American Finance Association, American Finance Association, vol. 46(4), pages 1411-25, September.
  20. Schaefer, Stephen M, 1981. "Measuring a Tax-Specific Term Structure of Interest Rates in the Market for British Government Securities," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 91(362), pages 415-38, June.
  21. Engsted, Tom & Tanggaard, Carsten, 1995. " The Predictive Power of Yield Spreads for Future Interest Rates: Evidence from the Danish Term Structure," Scandinavian Journal of Economics, Wiley Blackwell, Wiley Blackwell, vol. 97(1), pages 145-59, March.
  22. 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, Cambridge University Press, vol. 19(03), pages 233-252, September.
  23. Arturo Estrella & Frederic S. Mishkin, 1995. "Predicting U.S. Recessions: Financial Variables as Leading Indicators," NBER Working Papers 5379, National Bureau of Economic Research, Inc.
  24. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, University of Chicago Press, vol. 44(1), pages 19-31, January.
  25. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, Econometric Society, vol. 60(1), pages 77-105, January.
  26. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
  27. Jordan, James V, 1984. " Tax Effects in Term Structure Estimation," Journal of Finance, American Finance Association, American Finance Association, vol. 39(2), pages 393-406, June.
  28. Tanggaard, Carsten, 1997. " Nonparametric Smoothing of Yield Curves," Review of Quantitative Finance and Accounting, Springer, Springer, vol. 9(3), pages 251-67, October.
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Citations

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Cited by:
  1. Xiaohong Chen & Oliver Linton & Ingrid Van Keilegom, 2003. "Estimation of semiparametric models when the criterion function is not smooth," LSE Research Online Documents on Economics, London School of Economics and Political Science, LSE Library 2167, London School of Economics and Political Science, LSE Library.
  2. Oliver Linton & Andrew Jeffrey & Thong Nguyen, 2001. "Flexible Term Structure Estimation: Which Method is Preferred?," FMG Discussion Papers, Financial Markets Group dp385, Financial Markets Group.
  3. Michiel De Pooter, 2007. "Examining the Nelson-Siegel Class of Term Structure Models," Tinbergen Institute Discussion Papers 07-043/4, Tinbergen Institute.
  4. Ivailo Arsov & Matthew Brooks & Mitch Kosev, 2013. "New Measures of Australian Corporate Credit Spreads," RBA Bulletin, Reserve Bank of Australia, pages 15-26, December.
  5. Severini, Thomas A. & Tripathi, Gautam, 2006. "Some Identification Issues In Nonparametric Linear Models With Endogenous Regressors," Econometric Theory, Cambridge University Press, Cambridge University Press, vol. 22(02), pages 258-278, April.
  6. Fengler, Matthias R. & Härdle, Wolfgang & Mammen, Enno, 2003. "Implied volatility string dynamics," SFB 373 Discussion Papers 2003,54, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. Laurini, Márcio P. & Hotta, Luiz K., 2008. "Bayesian extensions to diebold-li term structure model," Insper Working Papers, Insper Working Paper, Insper Instituto de Ensino e Pesquisa wpe_122, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
  8. Enno Mammen & Byeong U. Park & Melanie Schienle, 2012. "Additive Models: Extensions and Related Models," SFB 649 Discussion Papers SFB649DP2012-045, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  9. David Jamieson Bolder & Scott Gusba, 2002. "Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada," Working Papers, Bank of Canada 02-29, Bank of Canada.
  10. Tatyana Krivobokova & Göran Kauermann & Theofanis Archontakis, 2006. "Estimating the term structure of interest rates using penalized splines," Statistical Papers, Springer, Springer, vol. 47(3), pages 443-459, June.

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