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Optimal long-term investment in illiquid markets when prices have negative memory

Probability 2021-04-27 v3

Abstract

In a discrete-time financial market model with instantaneous price impact, we find an asymptotically optimal strategy for an investor maximizing her expected wealth. The asset price is assumed to follow a process with negative memory. We determine how the optimal growth rate depends on the impact parameter and on the covariance decay rate of the price.

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Cite

@article{arxiv.2005.07080,
  title  = {Optimal long-term investment in illiquid markets when prices have negative memory},
  author = {Miklós Rásonyi and Lóránt Nagy},
  journal= {arXiv preprint arXiv:2005.07080},
  year   = {2021}
}

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12 pages