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Optimal execution of Portfolio transactions with geometric price process

Gerardo Hernández-del-Valle and Carlos Pacheco-Gonzalez

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Abstract: In this paper we derive the optimal execution trajectory for a trader who wishes to buy or sell a large position of shares which evolve as a geometric Brownian process in contrast to the arithmetic model which prevails in the existing literature, and with a general temporary impact $h$. We provide a couple of examples which illustrate the results. We would like to stress the fact that in this paper we use understandable user-friendly techniques.

Date: 2009-08, Revised 2009-11
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