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Optimal Rebalancing Frequencies for Multidimensional Portfolios

Ibrahim Ekren, Ren Liu and Johannes Muhle-Karbe

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Abstract: We study optimal investment with multiple assets in the presence of small proportional transaction costs. Rather than computing an asymptotically optimal no-trade region, we optimize over suitable trading frequencies. We derive explicit formulas for these and the associated welfare losses due to small transaction costs in a general, multidimensional diffusion setting, and compare their performance to a number of alternatives using Monte Carlo simulations.

Date: 2015-10, Revised 2017-09
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