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Crossover from linear to square-Root market impact (1811.05230v1)
Published 13 Nov 2018 in q-fin.TR and cond-mat.stat-mech
Abstract: Using a large database of 8 million institutional trades executed in the U.S. equity market, we establish a clear crossover between a linear market impact regime and a square-root regime as a function of the volume of the order. Our empirical results are remarkably well explained by a recently proposed dynamical theory of liquidity that makes specific predictions about the scaling function describing this crossover. Allowing at least two characteristic time scales for the liquidity (fast' and
slow') enables one to reach quantitative agreement with the data.