The Nelson-Siegel-Svensson yields. Probability properties and estimation | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2015. № 4(33).

The Nelson-Siegel-Svensson yields. Probability properties and estimation

Probabilty properties of the yield interest rates that are generated by model of Nelson - Siegel and Nelson - Siegel -Svensson are considered. The paper is directly related to [1]. It is shown that the model of Nelson - Siegel does not differ from the traditional two-factor model of affine yield, the volatility of which does not depend on the market state variables. Accordingly, the model of Nelson - Siegel - Svensson - from a four-factor model. These models generate the interest rates of yield to maturity and the forward yield with a normal distribution, for which the expectations and covariance matrices are found. To estimate the values of the rates of yield to maturity in the current time it is offered a recurrent procedure based on the use of the Kalman filter.

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Keywords

временная структура, кривая доходности, аффинные модели, модель доходности Нельсона - Сигеля -Свенссона, фильтр Калмана, term structure, yield curve, affine models, Nelson-Siegel-Svensson yield model, Kalman filter

Authors

NameOrganizationE-mail
Medvedev Gennady A.Belarusian State UniversityMedvedevGA@cosmostv.by
Всего: 1

References

Medvedev G.A. On the Nelson-Siegel-Svensson no-arbitrage yield curve models // Вестник Томского государственного университета. Управление, вычислительная техника и информатика. 2015. № 3 (32). С. 44-55.
Nelson C.R., Siegel A.F. Parsimonious modelling of yield curves // Journal of Business. 1987. V. 60. P. 473-489.
Svensson L. Estimating forward interest rates with the extended Nelson-Siegel method // Quarterly Review. Sveriges Riksbank. 1995. No. 3. P. 13-26.
Kloeden E., Platen E. Numerical solution of stochastic differential equations. Berlin : Springer-Verlag, 1992. 668 р.
Welch G., Bishop G. An Introduction to the Kalman Filter // UNC-Chapel Hill: TR 95-041, 2006. 16 р.
Diebold F., Rudebusch G. Yield Curve Modeling and Forecasting. Princeton: Princeton University Press, 2013. 159 p.
 The Nelson-Siegel-Svensson yields. Probability properties and estimation | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2015. № 4(33).

The Nelson-Siegel-Svensson yields. Probability properties and estimation | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2015. № 4(33).

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