Portfolio Analysis with Transaction Costs Under Uncertainty*


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Abstract

We obtain explicit formulas for the expected portfolio return and portfolio variance for portfolios with commission, which are in the general case unsmooth rational functions of the absolute value of portfolio weights. We prove that the function of expected portfolio return and portfolio variance function with commission are bounded. Two-asset portfolios with commission are investigated in detail.

About the authors

M. S. Al-Nator

Financial University under the Government of the Russian Federation

Author for correspondence.
Email: malnator@yandex.ru
Russian Federation, Moscow

S. V. Al-Nator

Financial University under the Government of the Russian Federation

Email: malnator@yandex.ru
Russian Federation, Moscow

Yu. F. Kasimov

Financial University under the Government of the Russian Federation

Email: malnator@yandex.ru
Russian Federation, Moscow

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