Ibanez, Francisco (2015): Calibrating the Dynamic Nelson-Siegel Model: A Practitioner Approach. Forthcoming in: Working Papers Central Bank of Chile (2016)
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Abstract
The dynamic version of the Nelson-Siegel model has shown useful applications in the investment management industry. These applications go from forecasting the yield curve to portfolio risk management. Because of the complexity in the estimation of the parameters, some practitioners are unable to benefit from the uses of this model. In this note we present two approximations to estimate the time series of the model's factors. The first one has a more technical aim, focusing on the construction of a representative base to work, and uses a genetic algorithm to face the optimization problem. The second approximation has a practitioner spirit, focusing on the easiness of implementation. The results show that both approximations have good fitting for the U.S. Treasury bonds market.
Item Type: | MPRA Paper |
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Original Title: | Calibrating the Dynamic Nelson-Siegel Model: A Practitioner Approach |
Language: | English |
Keywords: | Yield curve; Curve fitting; Calibration; Nelson-Siegel |
Subjects: | C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates |
Item ID: | 68439 |
Depositing User: | Francisco Ibáñez |
Date Deposited: | 11 Jan 2016 14:45 |
Last Modified: | 26 Sep 2019 11:18 |
References: | Alfaro, R., Becerra, S., and Sagner, A. Estimación de la estructura de tasas nominales en Chile: Aplicación del modelo dinámico de Nelson-Siegel. Economía Chilena, 14(3):57–74, 2011. Christensen, J. H. E., Diebold, F. X., and Rudebusch, G. D. The affine arbitrage-free class of Nelson-Siegel term structure models. Journal of Econometrics, (164):4–20, 2011. Diebold, F. X., Ji, L., and Li, C. A three-factor yield curve model: Nonaffine structure, systematic risk sources and generalized duration. Macroeconomics, Finance and Econometrics: Essay in Memory of Albert Ando, pages 240–274, 2006. Diebold, F. X. and Li, C. Forecasting the term structure of government bond yields. Journal of Econometrics, 130:337–364, 2006. Diebold, F. X. and Rudebusch, G. D. Yield Curve Modeling and Forecasting: The Dynamic Nelson-Siegel Approach. Princeton University Press, 2013. Gilli, M., Grosse, S., and Schumann, E. Calibrating the Nelson-Siegel- Svensson model. COMISEF Working Paper Series No.31, 2010. Gürkaynak, R. S., Sack, B., and Wright, J. H. The U.S. Treasury yield curve: 1961 to the present. Journal of Monetary Economics, 54(8):2291– 2304, November 2007. Jones, F. J. Yield curve strategies. The Journal of Fixed Income, 1(2):43– 48, 1991. Litterman, R. and Scheinkman, J. Common factors affecting bond returns. The Journal of Fixed Income, 1(1):54–61, 1991. Nelson, C. R. and Siegel, A. F. Parsimonious modeling of yield curves. Journal of Business, 60(4):473–489, 1987. Svensson, L. Estimating forward interest rates with the extended Nelson- Siegel method. Sveriges Riskbank Quarterly Review, 3:13–26, 1995. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/68439 |
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Calibrating the Dynamic Nelson-Siegel Model: A Practitioner Approach. (deposited 15 Dec 2015 10:04)
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