Application of maximum likelihood estimation to stochastic short rate models

The application of maximum likelihood estimation is not well studied for stochastic short rate models because of the cumbersome detail of this approach. We investigate the applicability of maximum likelihood estimation to stochastic short rate models. We restrict our consideration to three importan...

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Main Authors: Fergusson, Kevin, Platen, E.
Format: Journal Article
Published: World Scientific Publishing Co. 2015
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/30371
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author Fergusson, Kevin
Platen, E.
author_facet Fergusson, Kevin
Platen, E.
author_sort Fergusson, Kevin
building Curtin Institutional Repository
collection Online Access
description The application of maximum likelihood estimation is not well studied for stochastic short rate models because of the cumbersome detail of this approach. We investigate the applicability of maximum likelihood estimation to stochastic short rate models. We restrict our consideration to three important short rate models, namely the Vasicek, Cox–Ingersoll–Ross (CIR) and 3/2 short rate models, each having a closed-form formula for the transition density function. The parameters of the three interest rate models are fitted to US cash rates and are found to be consistent with market assessments.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:18:40Z
publishDate 2015
publisher World Scientific Publishing Co.
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spelling curtin-20.500.11937-303712018-03-29T09:08:51Z Application of maximum likelihood estimation to stochastic short rate models Fergusson, Kevin Platen, E. Stochastic short rate 3/2 model maximum likelihood estimation Vasicek model Cox-Ingersoll-Ross model The application of maximum likelihood estimation is not well studied for stochastic short rate models because of the cumbersome detail of this approach. We investigate the applicability of maximum likelihood estimation to stochastic short rate models. We restrict our consideration to three important short rate models, namely the Vasicek, Cox–Ingersoll–Ross (CIR) and 3/2 short rate models, each having a closed-form formula for the transition density function. The parameters of the three interest rate models are fitted to US cash rates and are found to be consistent with market assessments. 2015 Journal Article http://hdl.handle.net/20.500.11937/30371 10.1142/S2010495215500098 World Scientific Publishing Co. restricted
spellingShingle Stochastic short rate
3/2 model
maximum likelihood estimation
Vasicek model
Cox-Ingersoll-Ross model
Fergusson, Kevin
Platen, E.
Application of maximum likelihood estimation to stochastic short rate models
title Application of maximum likelihood estimation to stochastic short rate models
title_full Application of maximum likelihood estimation to stochastic short rate models
title_fullStr Application of maximum likelihood estimation to stochastic short rate models
title_full_unstemmed Application of maximum likelihood estimation to stochastic short rate models
title_short Application of maximum likelihood estimation to stochastic short rate models
title_sort application of maximum likelihood estimation to stochastic short rate models
topic Stochastic short rate
3/2 model
maximum likelihood estimation
Vasicek model
Cox-Ingersoll-Ross model
url http://hdl.handle.net/20.500.11937/30371