Open Access
2021 Optimal long-term investment in illiquid markets when prices have negative memory
Lóránt Nagy, Miklós Rásonyi
Author Affiliations +
Electron. Commun. Probab. 26: 1-12 (2021). DOI: 10.1214/21-ECP387

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.

Funding Statement

Supported by the “Lendület” grant LP 2015-6 of the Hungarian Academy of Sciences.

Citation

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Lóránt Nagy. Miklós Rásonyi. "Optimal long-term investment in illiquid markets when prices have negative memory." Electron. Commun. Probab. 26 1 - 12, 2021. https://doi.org/10.1214/21-ECP387

Information

Received: 30 June 2020; Accepted: 17 March 2021; Published: 2021
First available in Project Euclid: 20 April 2021

arXiv: 2005.07080
Digital Object Identifier: 10.1214/21-ECP387

Subjects:
Primary: 91G10 , 91G80

Keywords: fractional Brownian motion , optimal investment , price impact , processes with negative memory

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