A Three-State Markov-Modulated Switching Model for Exchange Rates

Several authors have examined the long swings hypothesis in exchange rates using a two-state Markov switching model. This study developed a model to investigate long swings hypothesis in currencies which may exhibit a k-state (k≥2) pattern. The proposed model was then applied to euros, British pound...

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Main Author: Idowu Oluwasayo Ayodeji
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/5061749
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author Idowu Oluwasayo Ayodeji
author_facet Idowu Oluwasayo Ayodeji
author_sort Idowu Oluwasayo Ayodeji
collection DOAJ
description Several authors have examined the long swings hypothesis in exchange rates using a two-state Markov switching model. This study developed a model to investigate long swings hypothesis in currencies which may exhibit a k-state (k≥2) pattern. The proposed model was then applied to euros, British pounds, Japanese yen, and Nigerian naira. Specification measures such as AIC, BIC, and HIC favoured a three-state pattern in Nigerian naira but a two-state one in the other three currencies. For the period January 2004 to May 2016, empirical results suggested the presence of asymmetric swings in naira and yen and long swings in euros and pounds. In addition, taking 0.5 as the benchmark for smoothing probabilities, choice models provided a clear reading of the cycle in a manner that is consistent with the realities of the movements in corresponding exchange rate series.
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spelling doaj-art-28842385d6e445a0be368ba54a792b5b2025-08-20T02:03:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/50617495061749A Three-State Markov-Modulated Switching Model for Exchange RatesIdowu Oluwasayo Ayodeji0Department of Mathematics, Obafemi Awolowo University, Ile-Ife 220005, NigeriaSeveral authors have examined the long swings hypothesis in exchange rates using a two-state Markov switching model. This study developed a model to investigate long swings hypothesis in currencies which may exhibit a k-state (k≥2) pattern. The proposed model was then applied to euros, British pounds, Japanese yen, and Nigerian naira. Specification measures such as AIC, BIC, and HIC favoured a three-state pattern in Nigerian naira but a two-state one in the other three currencies. For the period January 2004 to May 2016, empirical results suggested the presence of asymmetric swings in naira and yen and long swings in euros and pounds. In addition, taking 0.5 as the benchmark for smoothing probabilities, choice models provided a clear reading of the cycle in a manner that is consistent with the realities of the movements in corresponding exchange rate series.http://dx.doi.org/10.1155/2016/5061749
spellingShingle Idowu Oluwasayo Ayodeji
A Three-State Markov-Modulated Switching Model for Exchange Rates
Journal of Applied Mathematics
title A Three-State Markov-Modulated Switching Model for Exchange Rates
title_full A Three-State Markov-Modulated Switching Model for Exchange Rates
title_fullStr A Three-State Markov-Modulated Switching Model for Exchange Rates
title_full_unstemmed A Three-State Markov-Modulated Switching Model for Exchange Rates
title_short A Three-State Markov-Modulated Switching Model for Exchange Rates
title_sort three state markov modulated switching model for exchange rates
url http://dx.doi.org/10.1155/2016/5061749
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