Exponential Resilience and Decay of Market Impact

  • Jim Gatheral
  • Alexander Schied
  • Alla Slynko
Part of the New Economic Windows book series (NEW)


Assuming a particular price process, it was shown by Gatheral in [6], that a model that combines nonlinear price impact with exponential decay of market impact admits price manipulation, an undesirable feature that should lead to rejection of the model. Subsequently, Alfonsi and Schied proved in [2] that their model of the order book which has nonlinear market impact and exponential resilience, is free of price manipulation. In this paper, we show how these at-first-sight incompatible results are in reality perfectly compatible.


Trading Strategy Price Process Price Impact Order Book Market Impact 
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Copyright information

© Springer-Verlag Italia 2011

Authors and Affiliations

  • Jim Gatheral
    • 1
  • Alexander Schied
    • 2
  • Alla Slynko
    • 2
  1. 1.Department of Mathematics, Baruch CollegeCUNYNew York
  2. 2.Department of MathematicsMannheim UniversityMannheimGermany

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