Abstract

This paper captures the RMB exchange rate volatility using the Markov-switching GARCH (MSGARCH) models and traditional single-regime GARCH models. Through the Markov Chain Monte Carlo (MCMC) method, the model parameters are estimated to study the volatility dynamics of the RMB exchange rate. Furthermore, we compare the MSGARCH models to the single-regime GARCH specifications in terms of Value-at-Risk (VaR) prediction accuracy. According to the Deviance information criterion method, the research shows that MSGARCH models outperform the single-regime specifications in capturing the complexity of RMB exchange rate volatility. After the RMB exchange rate reform in 2015, the volatility is more asymmetric and persistent, and the probability of being in the turbulent volatility regime is significantly increased. The continuous escalation of Sino-US trade friction has increased the VaR of RMB exchange rate log-returns. From the evaluation results of the actual over expected exceedance ratio (AE), the conditional coverage (CC) test, and the dynamic quantile (DQ) test, we find strong evidence that two-regime MSGARCH models could forecast VaR more accurately, which provides practical value for China’s foreign exchange management authorities to manage the financial risk.

Highlights

  • RMB is the national currency of the largest exporter and the second largest importer in the world

  • Based on the consideration above, this paper considers Markov-switching generalized autoregressive conditional heteroscedasticity (GARCH) (MSGARCH) models to capture the structural changes of the RMB exchange rate volatility through Markov Chain Monte Carlo (MCMC) parameter estimation method

  • RMB daily exchange rates (USD/Chinese Yuan (CNY), Japanese Yen (JPY)/CNY, and Hong Kong dollar (HKD)/CNY) are from the State Administration of Foreign Exchange. e time period ranges from June 21, 2010, to December 23, 2019, for a total of 2315 observations. e original sample data of the RMB exchange rate is subjected to first-order logarithmic differential processing. en, the daily log-returns of RMB exchange rates are calculated with the formula ln􏼠 Pt 􏼡

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Summary

Introduction

RMB is the national currency of the largest exporter and the second largest importer in the world. As the price of currency exchange between two countries, RMB exchange rates are important for the stability of economic and trade cooperation between China and other countries. On July 21, 2005, the People’s Bank of China (PBOC) implemented the second major reform of the RMB exchange rate formation mechanism. Concerning a basket of currencies for adjustment and management, PBOC decided not to peg solely to the US dollar but to implement the floating exchange rate system based on market supply and demand. Before July 2005, the exchange rate system in China had always been a managed floating exchange rate system, its essence was to adopt a fixed exchange rate system in which the RMB is fixed on the dollar.

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