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Periodic strategies in optimal execution with multiplicative price impact

Daniel Hern\'andez-Hern\'andez, Harold A. Moreno-Franco and Jos\'e Luis P\'erez

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Abstract: In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival times of a Poisson process. The criterion to be optimised consists in maximising the expected net present value of gains of the agent, and it is proved that an optimal strategy has a barrier form, depending only on the number of shares left and the level of asset price.

Date: 2017-04, Revised 2018-05
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