Comparative Analysis of Zero Coupon Yield Courve Estimation Methods Using JGB Price Data PDF Download
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Author: Kentaro Kikuchi
Publisher:
ISBN:
Category :
Languages : en
Pages : 59
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Author: Kentaro Kikuchi
Publisher:
ISBN:
Category :
Languages : en
Pages : 59
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Author: Robert Ferstl
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ISBN:
Category :
Languages : en
Pages :
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Since zero-coupon rates are rarely directly observable, they have to be estimated from market data. In this paper we review several widely-used parametric term structure estimation methods. We propose a weighted constrained optimization procedure with analytical gradients and a globally optimal start parameter search algorithm. Moreover, we introduce the R package termstrc, which offers a wide range of functions for term structure estimation based on static and dynamic coupon bond and yield data sets. It provides extensive summary statistics and plots to compare the results of the different estimation methods. We illustrate the application of the package through practical examples using market data from European government bonds and yields.
Author:
Publisher:
ISBN:
Category : Finance
Languages : en
Pages : 132
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Author: Shigeyuki Hamori
Publisher: MDPI
ISBN: 3039362240
Category : Business & Economics
Languages : en
Pages : 230
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Book Description
Artificial intelligence (AI) is regarded as the science and technology for producing an intelligent machine, particularly, an intelligent computer program. Machine learning is an approach to realizing AI comprising a collection of statistical algorithms, of which deep learning is one such example. Due to the rapid development of computer technology, AI has been actively explored for a variety of academic and practical purposes in the context of financial markets. This book focuses on the broad topic of “AI and Financial Markets”, and includes novel research associated with this topic. The book includes contributions on the application of machine learning, agent-based artificial market simulation, and other related skills to the analysis of various aspects of financial markets.
Author: B. F. Hunt
Publisher:
ISBN:
Category : Zero coupon securities
Languages : en
Pages : 18
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Author: Ramaprasad Bhar
Publisher:
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Category :
Languages : en
Pages : 23
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This paper briefly surveys the various approaches to modelling the zero coupon yield curve is the starting point for much finance research. The method adopted here for the Australian Treasury bond data is based upon polynomial spline fitting, but with the constraint that the long end of the term structure is stable. This approach has also been successfully applied to the Danish bond market (Tanggaard and Jakobsen (1988)). The forward rate curve then becomes the important input data for the modelling of the term structure of interest rates and pricing of interest rate contingent claims using the Heath-Jarrow-Morton (1992) model.
Author: Srichander Ramaswamy
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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The term structure of interest rates plays a central role in the valuation, pricing and management of interest rate dependent securities. In this paper I focus on the application of the B-Spline methodology to construct zero coupon and forward rate curves for the swap market. By allowing the placements of the knot points for the B-splines to be part of the optimisation process it is possible to construct smooth zero coupon curves that do not violate the bid-ask constraints of the market rates/prices observed.
Author: Carl Chiarella
Publisher:
ISBN:
Category : Rate of return
Languages : en
Pages : 18
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Author: Paul Fourie Du Preez
Publisher:
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Category :
Languages : en
Pages :
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In this dissertation we survey a variety of methods for constructing zero-coupon yield curves. We show that, when accuracy is of the utmost importance, the bootstrap described by Hagan and West (2006), Smit (2000), and Daeves and Parlar (2000) provides the ideal framework. This bootstrap requires the use of an interpolation algorithm, and a large portion of this dissertation will thus be devoted to the task of establishing an ideal method for interpolating yield curve data. Only two of the interpolation methods considered in this dissertation are seen to perform promisingly: the monotone convex method developed by Hagan and West (2006), and the monotone preserving r(t)t method developed in this dissertation. We show that the monotone preserving r(t)t method performs slightly better than the monotone convex method, in terms of the continuity of the forward curve, and in terms of the stability of the interpolation function. When economic appeal is of the utmost importance, we find parametric models to be more suitable than bootstrapping. However, we show that bootstrapping can be used to obtain a hypothetical set of zero-coupon bond prices, which can be used to calibrate parametric models. We compare the performance of the Nelson and Siegel (1987) and Svensson (1992) models, when applied to a historic set of South African swap curves, and show that the Svensson (1992) model performs better than the Nelson and Siegel (1987) model on a consistent basis. Copyright.
Author: Oliver B. Linton
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
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Book Description
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.
