Intraday alternation of trending and mean-reversion in FX

This post is the first attempt to summarize intra-day seasonality findings from the six major exchange rates involving USD, focused on the hour-scale correlation structures. Taking advantage of the "non-trivial" (non-zero time lag) correlations in forex is complicated since their structure changes during the day, and a residual structure that survives the multi-day averaging is for this reason weaker than what may exist in a stable way at a certain time period during the day. Averaging is necessary to accumulate statistics and let the signals dominate the noise. But in doing that, I contain averaging within temporal classes or "bins", combining bars of the data recorded at the same or close times during different days, months and years of observation. When cyclicity of time is thus taken advantage of, a weak but significant and stable pattern of intra-day alternation between trend-like and mean-reversion behavior emerges.

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