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A Note on Portfolio Optimization with Quadratic Transaction Costs

Abstract

In this short note, we consider mean-variance optimized portfolios with transaction costs. We show that introducing quadratic transaction costs makes the optimization problem more difficult than using linear transaction costs. The reason lies in the specification of the budget constraint, which is no longer linear. We provide numerical algorithms for solving this issue and illustrate how transaction costs may considerably impact the expected returns of optimized portfolios.

CHEN Pierre , Quantitative Research

LEZMI Edmond , Quantitative research at Amundi

RONCALLI Thierry , Head of Quantitative Research

XU Jiali , Quantitative Research - Amundi

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