No-dynamic-arbitrage and market impact

@article{Gatheral2009NodynamicarbitrageAM,
  title={No-dynamic-arbitrage and market impact},
  author={Jim Gatheral},
  journal={Quantitative Finance},
  year={2009},
  volume={10},
  pages={749 - 759}
}
Starting from a no-dynamic-arbitrage principle that imposes that trading costs should be non-negative on average and a simple model for the evolution of market prices, we demonstrate a relationship between the shape of the market impact function describing the average response of the market price to traded quantity and the function that describes the decay of market impact. In particular, we show that the widely assumed exponential decay of market impact is compatible only with linear market… Expand
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