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An Optimal Execution Problem in the Volume-Dependent Almgren-Chriss Model

Takashi Kato

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Abstract: In this study, we introduce an explicit trading-volume process into the Almgren-Chriss model, which is a standard model for optimal execution. We propose a penalization method for deriving a verification theorem for an adaptive optimization problem. We also discuss the optimality of the volume-weighted average-price strategy of a risk-neutral trader. Moreover, we derive a second-order asymptotic expansion of the optimal strategy and verify its accuracy numerically.

Date: 2017-01, Revised 2017-08
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Citations: View citations in EconPapers (1)

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