Construction of models for bounded price processes: the case of the HKD exchange rate

This paper discusses construction of evolution models for financial time series evolving within a given interval. We calibrated a model for the case of the USD/HKD exchange rate after the separation of strong and weak side convertibility undertakings, in which the rate is confined to a specified cor...

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Main Authors: Yee, H.B., Dokuchaev, Nikolai
Format: Journal Article
Published: World Scientific Publishing Co. 2015
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/36716
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author Yee, H.B.
Dokuchaev, Nikolai
author_facet Yee, H.B.
Dokuchaev, Nikolai
author_sort Yee, H.B.
building Curtin Institutional Repository
collection Online Access
description This paper discusses construction of evolution models for financial time series evolving within a given interval. We calibrated a model for the case of the USD/HKD exchange rate after the separation of strong and weak side convertibility undertakings, in which the rate is confined to a specified corridor. This process represents an interesting example of a tradable bounded process. A 1D model was able to replicate the bounded distribution of the process, but a 2D model better captured dynamics as measured by the volatility without losing features of the 1D model. We briefly consider the ergodic properties of these models.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:46:55Z
publishDate 2015
publisher World Scientific Publishing Co.
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spelling curtin-20.500.11937-367162017-09-13T15:20:30Z Construction of models for bounded price processes: the case of the HKD exchange rate Yee, H.B. Dokuchaev, Nikolai bounded financial time series currency corridor 2D Markov model This paper discusses construction of evolution models for financial time series evolving within a given interval. We calibrated a model for the case of the USD/HKD exchange rate after the separation of strong and weak side convertibility undertakings, in which the rate is confined to a specified corridor. This process represents an interesting example of a tradable bounded process. A 1D model was able to replicate the bounded distribution of the process, but a 2D model better captured dynamics as measured by the volatility without losing features of the 1D model. We briefly consider the ergodic properties of these models. 2015 Journal Article http://hdl.handle.net/20.500.11937/36716 10.1142/S2010495215500116 World Scientific Publishing Co. fulltext
spellingShingle bounded financial time series
currency corridor
2D Markov model
Yee, H.B.
Dokuchaev, Nikolai
Construction of models for bounded price processes: the case of the HKD exchange rate
title Construction of models for bounded price processes: the case of the HKD exchange rate
title_full Construction of models for bounded price processes: the case of the HKD exchange rate
title_fullStr Construction of models for bounded price processes: the case of the HKD exchange rate
title_full_unstemmed Construction of models for bounded price processes: the case of the HKD exchange rate
title_short Construction of models for bounded price processes: the case of the HKD exchange rate
title_sort construction of models for bounded price processes: the case of the hkd exchange rate
topic bounded financial time series
currency corridor
2D Markov model
url http://hdl.handle.net/20.500.11937/36716