Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics

This paper models the foreign exchange intervention policy following the Rayleigh process derived from the standard flexible-price monetary framework. The exchange rate dynamics associated with the interventions are more sensitive to the change in the economic fundamental when a currency’s money sup...

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Main Authors: Cho-Hoi Hui, Chi-Fai Lo, Chi-Hei Liu
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/7/888
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author Cho-Hoi Hui
Chi-Fai Lo
Chi-Hei Liu
author_facet Cho-Hoi Hui
Chi-Fai Lo
Chi-Hei Liu
author_sort Cho-Hoi Hui
collection DOAJ
description This paper models the foreign exchange intervention policy following the Rayleigh process derived from the standard flexible-price monetary framework. The exchange rate dynamics associated with the interventions are more sensitive to the change in the economic fundamental when a currency’s money supply is ample and its appreciation expectation cannot be offset by lower interest rates that have fallen to the zero lower bound, suggesting that more intensive interventions are required to counteract currency appreciation pressure and resulting in foreign reserve accumulation. The empirical results using market data during January 2015–February 2020 demonstrate that the model can describe the dynamics of the Swiss franc exchange rate. The accumulation of foreign reserves through interventions is negatively co-integrated with the exchange rate volatility and the value of the mean level of the Swiss franc exchange rate in the dynamics, to some extent indicating a reasonably high degree of effectiveness of the Swiss National Bank’s interventions. The transition between the target-zone and floating-rate regimes in 2015 caused changes in the level of exchange rate volatility but not its dynamical structure, suggesting that transitions between the floating-rate and target-zone regimes do not seem to have material consequence in this regard.
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spelling doaj.art-c15c205c136e4c1397fc16d5f944a4472023-11-30T23:08:44ZengMDPI AGEntropy1099-43002022-06-0124788810.3390/e24070888Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate DynamicsCho-Hoi Hui0Chi-Fai Lo1Chi-Hei Liu2Hong Kong Monetary Authority, 55/F, Two International Finance Centre, 8, Finance Street, Central, Hong Kong, ChinaInstitute of Theoretical Physics and Department of Physics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, ChinaInstitute of Theoretical Physics and Department of Physics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, ChinaThis paper models the foreign exchange intervention policy following the Rayleigh process derived from the standard flexible-price monetary framework. The exchange rate dynamics associated with the interventions are more sensitive to the change in the economic fundamental when a currency’s money supply is ample and its appreciation expectation cannot be offset by lower interest rates that have fallen to the zero lower bound, suggesting that more intensive interventions are required to counteract currency appreciation pressure and resulting in foreign reserve accumulation. The empirical results using market data during January 2015–February 2020 demonstrate that the model can describe the dynamics of the Swiss franc exchange rate. The accumulation of foreign reserves through interventions is negatively co-integrated with the exchange rate volatility and the value of the mean level of the Swiss franc exchange rate in the dynamics, to some extent indicating a reasonably high degree of effectiveness of the Swiss National Bank’s interventions. The transition between the target-zone and floating-rate regimes in 2015 caused changes in the level of exchange rate volatility but not its dynamical structure, suggesting that transitions between the floating-rate and target-zone regimes do not seem to have material consequence in this regard.https://www.mdpi.com/1099-4300/24/7/888exchange rate dynamicsRayleigh processquasi-bounded processinterventions
spellingShingle Cho-Hoi Hui
Chi-Fai Lo
Chi-Hei Liu
Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
Entropy
exchange rate dynamics
Rayleigh process
quasi-bounded process
interventions
title Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
title_full Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
title_fullStr Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
title_full_unstemmed Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
title_short Modelling Foreign Exchange Interventions under Rayleigh Process: Applications to Swiss Franc Exchange Rate Dynamics
title_sort modelling foreign exchange interventions under rayleigh process applications to swiss franc exchange rate dynamics
topic exchange rate dynamics
Rayleigh process
quasi-bounded process
interventions
url https://www.mdpi.com/1099-4300/24/7/888
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