Inference of Term Structure Models

© 2016 IEEE. Compared with deterministic models, the key feature of a stochastic differential equation (SDE) model is its ability to generate a large number of different trajectories. To tackle the challenge, a number of methods have been proposed to infer reliable estimates. But these methods domin...

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Main Authors: Zhou, Y., Ge, X., Wu, Yong Hong, Tian, T.
Format: Conference Paper
Published: 2018
Online Access:http://hdl.handle.net/20.500.11937/71184
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author Zhou, Y.
Ge, X.
Wu, Yong Hong
Tian, T.
author_facet Zhou, Y.
Ge, X.
Wu, Yong Hong
Tian, T.
author_sort Zhou, Y.
building Curtin Institutional Repository
collection Online Access
description © 2016 IEEE. Compared with deterministic models, the key feature of a stochastic differential equation (SDE) model is its ability to generate a large number of different trajectories. To tackle the challenge, a number of methods have been proposed to infer reliable estimates. But these methods dominantly used the explicit methods for solving SDEs, and thus are not appropriate to deal with experimentaldata with large variations. In this work we develop a new method by using implicit methods to solve SDEs, which is aimed at generating stable simulations for stiff SDE models. The particle swarm optimization method is used as an efficient searching method to explore the optimal estimate in the complex parameter space. Using the interest term structure model as the test system, numerical results showed that the proposed new method is an effective approach for generating reliable estimates of unknown parameters in SDE models.
first_indexed 2025-11-14T10:47:09Z
format Conference Paper
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institution Curtin University Malaysia
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last_indexed 2025-11-14T10:47:09Z
publishDate 2018
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spelling curtin-20.500.11937-711842018-12-13T09:34:00Z Inference of Term Structure Models Zhou, Y. Ge, X. Wu, Yong Hong Tian, T. © 2016 IEEE. Compared with deterministic models, the key feature of a stochastic differential equation (SDE) model is its ability to generate a large number of different trajectories. To tackle the challenge, a number of methods have been proposed to infer reliable estimates. But these methods dominantly used the explicit methods for solving SDEs, and thus are not appropriate to deal with experimentaldata with large variations. In this work we develop a new method by using implicit methods to solve SDEs, which is aimed at generating stable simulations for stiff SDE models. The particle swarm optimization method is used as an efficient searching method to explore the optimal estimate in the complex parameter space. Using the interest term structure model as the test system, numerical results showed that the proposed new method is an effective approach for generating reliable estimates of unknown parameters in SDE models. 2018 Conference Paper http://hdl.handle.net/20.500.11937/71184 10.1109/IIKI.2016.74 restricted
spellingShingle Zhou, Y.
Ge, X.
Wu, Yong Hong
Tian, T.
Inference of Term Structure Models
title Inference of Term Structure Models
title_full Inference of Term Structure Models
title_fullStr Inference of Term Structure Models
title_full_unstemmed Inference of Term Structure Models
title_short Inference of Term Structure Models
title_sort inference of term structure models
url http://hdl.handle.net/20.500.11937/71184