Intra-Day Dynamics of Exchange Rates : New Evidence from Quantile Regression

This study provides a comprehensive description of the intra-day dynamics of major US-Dollar spot exchange rates. We use quantile autoregression to investigate the presence of (non-)linear temporal dependence in foreign exchange returns at various intra-daily time-horizons, ranging from ten minutes up to three hours. Specifically, we investigate an 11-year long sample of non-intermittent high frequency returns for the Euro (EUR), the British Pound (GBP) and the Japanese Yen (JPY) against the US-Dollar (USD). In contrast to previous studies, we find the temporal dependence of intra-daily foreign exchange returns to be non-linear and symmetrically U-shaped. Specifically, we observe pronounced negative autocorrelation for moderate USD appreciations and depreciations (central quantiles). For extreme positive and negative USD movements, we detect positive autocorrelation. This symmetric non-linear form of temporal dependence is remarkably stable across different exchange rates and states of the market. It appears to be a unique feature of foreign exchange returns and might be related to the fundamental ‘two-sidedness' of foreign exchange markets