We test the existence and reveal the main properties of commonality in liquidity for the foreign exchange (FX) markets at the high-frequency level. Accordingly, commonality in FX liquidity exists even at the high-frequency level and it has been gradually increasing over the last few years....

We prove the existence of statistical arbitrage opportunities for jump-diffusion models of stock prices when the jump-size distribution is assumed to have finite moments. We show that to obtain statistical arbitrage, the risky asset holding must go to zero in time. Existence of statistical...