Varga, Gyorgy (2009): Teste de Modelos Estatísticos para a Estrutura a Termo no Brasil. Published in: Revista Brasileira de Economia , Vol. 63, No. 4 : pp. 361-394.
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Abstract
We apply and test term structure fitting models like polynomial splines, flat forward and Nelson-Siegel to the Brazilian local term structure. They are models used all over the world by authorities and financial markets practitioners but less known locally. These models were tested with a large database with all of then presenting some specification problems. These results are similar to Bliss (1997) for US term structure and showed several limitations to the use of these models in the term structure fitting.
Item Type: | MPRA Paper |
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Original Title: | Teste de Modelos Estatísticos para a Estrutura a Termo no Brasil |
English Title: | Test of Term Structure Models for Brazil |
Language: | Portuguese |
Keywords: | Term structure models; monetary policy; interpolation |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation, Validation, and Selection E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates |
Item ID: | 20832 |
Depositing User: | Gyorgy Varga |
Date Deposited: | 20 Feb 2010 13:35 |
Last Modified: | 10 Oct 2019 06:33 |
References: | ADAMS, K. AND DEVENTER, D. VAN. (1994) “Fitting Yield Curves and Forward Rate Curves with Maximum Smoothness”, Journal of Fixed Income, June, 52-62. ALMEIDA, C. (2005) “Affine Processes, Arbitrage-Free Term Structures of Legendre Polynomials and Option Pricing”, International Journal of Theoretical and Applied Finance, vol. 8, nº 2, pp. 161-184. ALMEIDA, C.; R. GOMES; A. LEITE E J. Vicente (2007) “Movimentos da Estrutura a Termo e Critérios de Minimização do Erro de Previsão em um Modelo Paramétrico”, trabalhos para discussão nº 146. ANDERSON, N.; BREEDON, F.; DEACON, M., DERRY, A. AND MURPHY, G. (1996) “Estimating and interpreting the yield curve”, John Wiley & Sons. ANDERSON, N. AND SLEATH, J. (2001) “New estimates of the UK real and nominal yield curves”, Bank of England, mimeo. ANDIMA. Resenha diária com preços de títulos públicos, disponível na Internet em www.andima.com.br. Rio de Janeiro. BANCO CENTRAL DO BRASIL (2000) Nota técnica da circular 2972 em www.bcb.gov.br. BLISS, R. (1997) “Testing Term Structure Estimation Methods”, Advances in Futures and Options Research 9, 197-232. BOLDER, D. AND GUSBA, S. (2002) “Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada”, Working papers nº 29, Bank of Canada. BROWN, R. AND S. SCHAEFER (2000) “Why Long Term Forward Interest Rates (Almost) Always Slope Downwards”. Mimeo. BURDEN, R. AND J. FAIRES (2003) “Análise Numérica”, Thomson Editora. CARVALHO, P. (2008) “Comparação de metodologias para a construção da estrutura a termo de taxas de juros (ETTJ) dos títulos públicos brasileiros”, tese de mestrado, EPGE – Fundação Getulio Vargas. CHAMBERS, D.; CARLETON, W. AND WALDMAN, D (1984) “A New Approach to Estimation of the Term Structure of Interest Rates”, Journal of Financial and Quantitative Analysis, 19 nº 3, 233-52. COLEMAN, T.; L. FISCHER AND R. IBBOTSON (1992) “Estimating the term structure of interest rates from data that include the prices of coupon bonds”, The Journal of Fixed Income, September, 85-116. CONOVER, W. (1980) “Practical Nonparametric Statistics”, Wiley. DE BOOR, C. (1978) “A practical guide to splines”, Springer-Verlag, New York. DIEBOLD, F. AND C. LI (2006) “Forecasting the term structure of government bond yields”, Journal of Econometrics, 130, 337-364. DUARTE JR., A. AND WERLANG, S. (1995) “A Model to Estimate the US Term Structure of Interest Rates”, Revista de Econometria. FAMA, E. AND R. BLISS (1997) “The information in long-maturity forward rates”, American Economic Review 77, 680-692. FISHER, M.; NYCHKA, D., AND ZERVOS, D. (1995) “Fitting the term structure of interest rates with smoothing splines”. Federal Reserve Bank , Finance and Economic Discussion Paper 95-1, January. GAUTSCHI, W. (1997) “Numerical Analysis: an introduction”, Birkhauser. IMAI, K.; D. VAN DEVENTER AND M. MESLER (2004) Advanced Financial Risk Management: Tools & Techniques for Integrated Credit Risk and Interest Rate Risk Managements, Wiley. LANGETIEG, T. AND SMOOT, J. (1989) “Estimation of the term structure of interest rate”. In G. G. Kaufman (ed.) Research in Financial Services: Private and Public Policy, vol. 1. JAI Press, Autumn, pp. 181-222. LAURINI, M. AND MOURA, M. (2006) “Constrained smoothing splines for the term structure of interest rates”, XXVII Encontro Brasileiro de Econometria. LITTERMAN, R.; J. SCHEINKMAN AND L. WEISS (1991) “Volatility and The Yield Curve”, Journal of Fixed Income, June. LITZENBERGER, R. AND J. ROLFO (1984) “An international study of tax effects on government bonds”, Journal of Finance, 39. MALTZ, A. (2002) “Estimation of zero coupon curves in Datametrics” em RiskMetrics Journal, www.riskmetrics.com. MCCULLOCH, J. (1971) “Measuring The Term Structure of Interest Rates”, Journal of Business 44, 19-31. MCCULLOCH, J. (1975) “An Estimate of the Liquidity Premium”, Journal of Political Economy, 95-119. MCCULLOCH, J. (1975) “The Tax-Adjusted Yield Curve”, Journal of Finance, 30, 811-830. NELSON, C. AND SIEGEL, A. (1987) “Parsimonious Modeling of Yield Curves”, Journal of Business, vol 60 nº 4, 473-489. POIRER, D. (1973) “Piecewise regression using cubic spline”, Journal of the American Statistical Association, 68, nº 343, 515-524. POWELL, M. J. D. (1981) Approximation Theory and Methods, Cambridge University Press. SHEA, G. (1984) “Pitfalls in Smoothing Interest Rate Term Structure Data: Equilibrium Models and Spline Approximations”, Journal of Financial and Quantitative Analysis, 19, 253-269. SHEA, G. (1985) “Interest Rate Term Structure Estimation with Exponencial Splines: A Note”, Journal of Finance 40, 319-25. STEELEY, J. (1991) “Estimating the Gilt-edged Term Structure: Basis Splines and Confidence Intervals”, Journal of Business, Finance and Accounting , 18, 513-529. SVENSSON, L. (1994) “Estimating and interpreting forward interest rates: Sweden 1992:94”, working paper nº 4871, NBER. VARGA, G. (2000) “Interpolação por Cubic Spline para a Estrutura a Termo Brasileira”. Resenha mensal da BM&F, nº 140 e em Gestão de Riscos no Brasil (2003). VARGA, GYORGY E DUARTE JR., ANTONIO MARCOS (Orgs.). Keyword Editora. VARGA, G. (2004) “Preço e estratégias com futuro de DI e FRA”. Resenha mensal da BM&F, nº 158. VARGA, G. (2007) “Estrutura a Termo Baseada em Títulos com Pagamentos Intermediários”, resenha da BM&F no. 168. VARGA, G. (2006) “Interpolação Exata Para a Estrutura a Termo Baseada em Títulos com Pagamentos Intermediários”, mimeo em www.fce.com.br. VASICEK, O. AND FONG, H. (1982) “Term Structure Modeling Using Exponencial Splines”, Journal of Finance 37, 339-348. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/20832 |