Overnight exchange rate risk based on multi-quantile and joint-shock CAViaR models

Overnight risk of exchange rate is more and more important because the exchange rate trading time of various countries is inconsistent. Drawing on the multi-quantile CAViaR model for two markets, this study proposes a multi-quantile CAViaR model for three markets and a multi-quantile CAViaR model for joint shock. The two new models are used to measure the impact of the U.S. Dollar index and the Euro on the overnight risk for the exchange rate of the Japanese Yen, Hong Kong Dollar, and Chinese Renminbi. The results show that, first, a lag risk affects the overnight risk of the three exchange rates, of which the Remninbi exchange rate is subject to the largest risk. Second, the U.S. Dollar index and Euro exchange rate risks impact the overnight risk of the three exchange rates and this effect is highest for the overnight risk of the Yen's exchange rate. In addition, the impact of the U.S.Dollar index risk is greater than that of the Euro. Third, the Euro and U.S.Dollar index produce a joint shock on the overnight risk of the three exchange rates, and here, the Yen's exchange rate suffers the biggest shock. Finally, the multi-quantile CAViaR model for joint shock is more accurate than that for three markets, particularly when the Hong Kong Dollar exchange rate has a 5% VaR. These empirical results have meaningful implications for regulatory authorities.