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==Evidence for triangular arbitrage==
Studies of high-frequency
There are variations in the number of triangular arbitrage opportunities that occur during different hours of the 24 hour foreign exchange trading day. Perhaps slightly counter-intuitively, more triangular arbitrage opportunities arise during hours when [[market liquidity]] is at its highest; for example, from about 8-10 AM GMT when both Asian and European foreign exchange traders are active, and from 2-4 PM GMT when both European and American traders are active. During more liquid periods, triangular arbitrage opportunities also tend to exist for shorter durations than during less liquid periods. The reason for these differences is that in liquid periods the bid-ask spread is narrower and prices move around at a higher frequency due to the large volume of trading. This results in more price misalignments and thus more potential arbitrages. The high trade frequency, however, also ensures that the mis-pricings are quickly traded away and thus that any arbitrage opportunities are short-lived.
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