“…To this end, we adopt a bivariate GARCH( p , q ) model, which is well recognized for its potential to handle the stylized facts observed in our series, including heavy tails, volatility clustering, and nonlinear dependence. There is a plethora of research that relies on variants of GARCH models to explain the stochastic behavior of time series, and to explore the price and volatility information spillovers between assets (e.g., Ahmed and Huo, 2021 ; Andersen and Bollerslev, 1997 ; Hamao et al, 1990 ; Hou et al, 2019 ; Izquierdo and Lafuente, 2004 ; Symitsi and Chalvatzis, 2018 ; Sun et al, 2020 ; Yu et al, 2019 ). To determine the appropriate number of autoregressive lags (i.e., ARCH terms) and moving average lags (i.e., GARCH terms), various models with combinations of p = 1, 2, and 3 and q = 1, 2, and 3 are examined.…”