Equations and Shape of the Optimal Band Strategy
Autor: | de Lataillade, Joachim, Chaouki, Ayman |
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Rok vydání: | 2020 |
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Druh dokumentu: | Working Paper |
Popis: | We consider the problem of the optimal trading strategy in the presence of a price predictor, linear trading costs and a quadratic risk control. The solution is known to be a band system, a policy that induces a no-trading zone in the positions space. Using a path-integral method introduced in a previous work, we give equations for the upper and lower edges of this band, and solve them explicitly in the case of an Ornstein-Uhlenbeck predictor. We then explore the shape of this solution and derive its asymptotic behavior for large values of the predictor, without requiring trading costs to be small. Comment: Adding a link to the references |
Databáze: | arXiv |
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