The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models

We obtain a result that relates the risk-neutral jump size of interest rates with yield curve data. This function is unobservable; therefore, this result opens a way to estimate the jump size directly from data in the markets together with the risk-neutral drift and jump intensity estimations. Then,...

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Main Authors: L. Gómez-Valle, J. Martínez-Rodríguez
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/805695
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author L. Gómez-Valle
J. Martínez-Rodríguez
author_facet L. Gómez-Valle
J. Martínez-Rodríguez
author_sort L. Gómez-Valle
collection DOAJ
description We obtain a result that relates the risk-neutral jump size of interest rates with yield curve data. This function is unobservable; therefore, this result opens a way to estimate the jump size directly from data in the markets together with the risk-neutral drift and jump intensity estimations. Then, we investigate the finite sample performance of this approach with a test problem. Moreover, we analyze the effect of estimating the risk-neutral jump size instead of assuming that it is artificially absorbed by the jump intensity, as usual in the interest rate literature. Finally, an application to US Treasury Bill data is also illustrated.
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spelling doaj-art-a644b1a8b54943a68b16026818b4a8b72025-02-03T06:08:21ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/805695805695The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate ModelsL. Gómez-Valle0J. Martínez-Rodríguez1Departamento de Economía Aplicada, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, SpainDepartamento de Economía Aplicada, Facultad de Ciencias Económicas y Empresariales, Universidad de Valladolid, Avenida del Valle de Esgueva 6, 47011 Valladolid, SpainWe obtain a result that relates the risk-neutral jump size of interest rates with yield curve data. This function is unobservable; therefore, this result opens a way to estimate the jump size directly from data in the markets together with the risk-neutral drift and jump intensity estimations. Then, we investigate the finite sample performance of this approach with a test problem. Moreover, we analyze the effect of estimating the risk-neutral jump size instead of assuming that it is artificially absorbed by the jump intensity, as usual in the interest rate literature. Finally, an application to US Treasury Bill data is also illustrated.http://dx.doi.org/10.1155/2015/805695
spellingShingle L. Gómez-Valle
J. Martínez-Rodríguez
The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
Abstract and Applied Analysis
title The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
title_full The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
title_fullStr The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
title_full_unstemmed The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
title_short The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models
title_sort role of the risk neutral jump size distribution in single factor interest rate models
url http://dx.doi.org/10.1155/2015/805695
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